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Top 20 Problem Solving Interview Questions (Example Answers Included)

Mike Simpson 0 Comments

basic problem solving questions and answers

By Mike Simpson

When candidates prepare for interviews, they usually focus on highlighting their leadership, communication, teamwork, and similar crucial soft skills . However, not everyone gets ready for problem-solving interview questions. And that can be a big mistake.

Problem-solving is relevant to nearly any job on the planet. Yes, it’s more prevalent in certain industries, but it’s helpful almost everywhere.

Regardless of the role you want to land, you may be asked to provide problem-solving examples or describe how you would deal with specific situations. That’s why being ready to showcase your problem-solving skills is so vital.

If you aren’t sure who to tackle problem-solving questions, don’t worry, we have your back. Come with us as we explore this exciting part of the interview process, as well as some problem-solving interview questions and example answers.

What Is Problem-Solving?

When you’re trying to land a position, there’s a good chance you’ll face some problem-solving interview questions. But what exactly is problem-solving? And why is it so important to hiring managers?

Well, the good folks at Merriam-Webster define problem-solving as “the process or act of finding a solution to a problem.” While that may seem like common sense, there’s a critical part to that definition that should catch your eye.

What part is that? The word “process.”

In the end, problem-solving is an activity. It’s your ability to take appropriate steps to find answers, determine how to proceed, or otherwise overcome the challenge.

Being great at it usually means having a range of helpful problem-solving skills and traits. Research, diligence, patience, attention-to-detail , collaboration… they can all play a role. So can analytical thinking , creativity, and open-mindedness.

But why do hiring managers worry about your problem-solving skills? Well, mainly, because every job comes with its fair share of problems.

While problem-solving is relevant to scientific, technical, legal, medical, and a whole slew of other careers. It helps you overcome challenges and deal with the unexpected. It plays a role in troubleshooting and innovation. That’s why it matters to hiring managers.

How to Answer Problem-Solving Interview Questions

Okay, before we get to our examples, let’s take a quick second to talk about strategy. Knowing how to answer problem-solving interview questions is crucial. Why? Because the hiring manager might ask you something that you don’t anticipate.

Problem-solving interview questions are all about seeing how you think. As a result, they can be a bit… unconventional.

These aren’t your run-of-the-mill job interview questions . Instead, they are tricky behavioral interview questions . After all, the goal is to find out how you approach problem-solving, so most are going to feature scenarios, brainteasers, or something similar.

So, having a great strategy means knowing how to deal with behavioral questions. Luckily, there are a couple of tools that can help.

First, when it comes to the classic approach to behavioral interview questions, look no further than the STAR Method . With the STAR method, you learn how to turn your answers into captivating stories. This makes your responses tons more engaging, ensuring you keep the hiring manager’s attention from beginning to end.

Now, should you stop with the STAR Method? Of course not. If you want to take your answers to the next level, spend some time with the Tailoring Method , too.

With the Tailoring Method, it’s all about relevance. So, if you get a chance to choose an example that demonstrates your problem-solving skills, this is really the way to go.

We also wanted to let you know that we created an amazing free cheat sheet that will give you word-for-word answers for some of the toughest interview questions you are going to face in your upcoming interview. After all, hiring managers will often ask you more generalized interview questions!

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Top 3 Problem-Solving-Based Interview Questions

Alright, here is what you’ve been waiting for: the problem-solving questions and sample answers.

While many questions in this category are job-specific, these tend to apply to nearly any job. That means there’s a good chance you’ll come across them at some point in your career, making them a great starting point when you’re practicing for an interview.

So, let’s dive in, shall we? Here’s a look at the top three problem-solving interview questions and example responses.

1. Can you tell me about a time when you had to solve a challenging problem?

In the land of problem-solving questions, this one might be your best-case scenario. It lets you choose your own problem-solving examples to highlight, putting you in complete control.

When you choose an example, go with one that is relevant to what you’ll face in the role. The closer the match, the better the answer is in the eyes of the hiring manager.

EXAMPLE ANSWER:

“While working as a mobile telecom support specialist for a large organization, we had to transition our MDM service from one vendor to another within 45 days. This personally physically handling 500 devices within the agency. Devices had to be gathered from the headquarters and satellite offices, which were located all across the state, something that was challenging even without the tight deadline. I approached the situation by identifying the location assignment of all personnel within the organization, enabling me to estimate transit times for receiving the devices. Next, I timed out how many devices I could personally update in a day. Together, this allowed me to create a general timeline. After that, I coordinated with each location, both expressing the urgency of adhering to deadlines and scheduling bulk shipping options. While there were occasional bouts of resistance, I worked with location leaders to calm concerns and facilitate action. While performing all of the updates was daunting, my approach to organizing the event made it a success. Ultimately, the entire transition was finished five days before the deadline, exceeding the expectations of many.”

2. Describe a time where you made a mistake. What did you do to fix it?

While this might not look like it’s based on problem-solving on the surface, it actually is. When you make a mistake, it creates a challenge, one you have to work your way through. At a minimum, it’s an opportunity to highlight problem-solving skills, even if you don’t address the topic directly.

When you choose an example, you want to go with a situation where the end was positive. However, the issue still has to be significant, causing something negative to happen in the moment that you, ideally, overcame.

“When I first began in a supervisory role, I had trouble setting down my individual contributor hat. I tried to keep up with my past duties while also taking on the responsibilities of my new role. As a result, I began rushing and introduced an error into the code of the software my team was updating. The error led to a memory leak. We became aware of the issue when the performance was hindered, though we didn’t immediately know the cause. I dove back into the code, reviewing recent changes, and, ultimately, determined the issue was a mistake on my end. When I made that discovery, I took several steps. First, I let my team know that the error was mine and let them know its nature. Second, I worked with my team to correct the issue, resolving the memory leak. Finally, I took this as a lesson about delegation. I began assigning work to my team more effectively, a move that allowed me to excel as a manager and help them thrive as contributors. It was a crucial learning moment, one that I have valued every day since.”

3. If you identify a potential risk in a project, what steps do you take to prevent it?

Yes, this is also a problem-solving question. The difference is, with this one, it’s not about fixing an issue; it’s about stopping it from happening. Still, you use problem-solving skills along the way, so it falls in this question category.

If you can, use an example of a moment when you mitigated risk in the past. If you haven’t had that opportunity, approach it theoretically, discussing the steps you would take to prevent an issue from developing.

“If I identify a potential risk in a project, my first step is to assess the various factors that could lead to a poor outcome. Prevention requires analysis. Ensuring I fully understand what can trigger the undesired event creates the right foundation, allowing me to figure out how to reduce the likelihood of those events occurring. Once I have the right level of understanding, I come up with a mitigation plan. Exactly what this includes varies depending on the nature of the issue, though it usually involves various steps and checks designed to monitor the project as it progresses to spot paths that may make the problem more likely to happen. I find this approach effective as it combines knowledge and ongoing vigilance. That way, if the project begins to head into risky territory, I can correct its trajectory.”

17 More Problem-Solving-Based Interview Questions

In the world of problem-solving questions, some apply to a wide range of jobs, while others are more niche. For example, customer service reps and IT helpdesk professionals both encounter challenges, but not usually the same kind.

As a result, some of the questions in this list may be more relevant to certain careers than others. However, they all give you insights into what this kind of question looks like, making them worth reviewing.

Here are 17 more problem-solving interview questions you might face off against during your job search:

  • How would you describe your problem-solving skills?
  • Can you tell me about a time when you had to use creativity to deal with an obstacle?
  • Describe a time when you discovered an unmet customer need while assisting a customer and found a way to meet it.
  • If you were faced with an upset customer, how would you diffuse the situation?
  • Tell me about a time when you had to troubleshoot a complex issue.
  • Imagine you were overseeing a project and needed a particular item. You have two choices of vendors: one that can deliver on time but would be over budget, and one that’s under budget but would deliver one week later than you need it. How do you figure out which approach to use?
  • Your manager wants to upgrade a tool you regularly use for your job and wants your recommendation. How do you formulate one?
  • A supplier has said that an item you need for a project isn’t going to be delivered as scheduled, something that would cause your project to fall behind schedule. What do you do to try and keep the timeline on target?
  • Can you share an example of a moment where you encountered a unique problem you and your colleagues had never seen before? How did you figure out what to do?
  • Imagine you were scheduled to give a presentation with a colleague, and your colleague called in sick right before it was set to begin. What would you do?
  • If you are given two urgent tasks from different members of the leadership team, both with the same tight deadline, how do you choose which to tackle first?
  • Tell me about a time you and a colleague didn’t see eye-to-eye. How did you decide what to do?
  • Describe your troubleshooting process.
  • Tell me about a time where there was a problem that you weren’t able to solve. What happened?
  • In your opening, what skills or traits make a person an exceptional problem-solver?
  • When you face a problem that requires action, do you usually jump in or take a moment to carefully assess the situation?
  • When you encounter a new problem you’ve never seen before, what is the first step that you take?

Putting It All Together

At this point, you should have a solid idea of how to approach problem-solving interview questions. Use the tips above to your advantage. That way, you can thrive during your next interview.

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basic problem solving questions and answers

Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com.

His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others.

Learn more about The Interview Guys on our About Us page .

About The Author

Mike simpson.

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Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com. His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others. Learn more about The Interview Guys on our About Us page .

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basic problem solving questions and answers

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26 Good Examples of Problem Solving (Interview Answers)

By Biron Clark

Published: November 15, 2023

Employers like to hire people who can solve problems and work well under pressure. A job rarely goes 100% according to plan, so hiring managers will be more likely to hire you if you seem like you can handle unexpected challenges while staying calm and logical in your approach.

But how do they measure this?

They’re going to ask you interview questions about these problem solving skills, and they might also look for examples of problem solving on your resume and cover letter. So coming up, I’m going to share a list of examples of problem solving, whether you’re an experienced job seeker or recent graduate.

Then I’ll share sample interview answers to, “Give an example of a time you used logic to solve a problem?”

Problem-Solving Defined

It is the ability to identify the problem, prioritize based on gravity and urgency, analyze the root cause, gather relevant information, develop and evaluate viable solutions, decide on the most effective and logical solution, and plan and execute implementation. 

Problem-solving also involves critical thinking, communication, listening, creativity, research, data gathering, risk assessment, continuous learning, decision-making, and other soft and technical skills.

Solving problems not only prevent losses or damages but also boosts self-confidence and reputation when you successfully execute it. The spotlight shines on you when people see you handle issues with ease and savvy despite the challenges. Your ability and potential to be a future leader that can take on more significant roles and tackle bigger setbacks shine through. Problem-solving is a skill you can master by learning from others and acquiring wisdom from their and your own experiences. 

It takes a village to come up with solutions, but a good problem solver can steer the team towards the best choice and implement it to achieve the desired result.

Watch: 26 Good Examples of Problem Solving

Examples of problem solving scenarios in the workplace.

  • Correcting a mistake at work, whether it was made by you or someone else
  • Overcoming a delay at work through problem solving and communication
  • Resolving an issue with a difficult or upset customer
  • Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
  • Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
  • Troubleshooting and resolving technical issues
  • Handling and resolving a conflict with a coworker
  • Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
  • Taking initiative when another team member overlooked or missed something important
  • Taking initiative to meet with your superior to discuss a problem before it became potentially worse
  • Solving a safety issue at work or reporting the issue to those who could solve it
  • Using problem solving abilities to reduce/eliminate a company expense
  • Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
  • Changing how a process, team, or task is organized to make it more efficient
  • Using creative thinking to come up with a solution that the company hasn’t used before
  • Performing research to collect data and information to find a new solution to a problem
  • Boosting a company or team’s performance by improving some aspect of communication among employees
  • Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

Problem Solving Examples for Recent Grads/Entry Level Job Seekers

  • Coordinating work between team members in a class project
  • Reassigning a missing team member’s work to other group members in a class project
  • Adjusting your workflow on a project to accommodate a tight deadline
  • Speaking to your professor to get help when you were struggling or unsure about a project
  • Asking classmates, peers, or professors for help in an area of struggle
  • Talking to your academic advisor to brainstorm solutions to a problem you were facing
  • Researching solutions to an academic problem online, via Google or other methods
  • Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

You can share all of the examples above when you’re asked questions about problem solving in your interview. As you can see, even if you have no professional work experience, it’s possible to think back to problems and unexpected challenges that you faced in your studies and discuss how you solved them.

Interview Answers to “Give an Example of an Occasion When You Used Logic to Solve a Problem”

Now, let’s look at some sample interview answers to, “Give me an example of a time you used logic to solve a problem,” since you’re likely to hear this interview question in all sorts of industries.

Example Answer 1:

At my current job, I recently solved a problem where a client was upset about our software pricing. They had misunderstood the sales representative who explained pricing originally, and when their package renewed for its second month, they called to complain about the invoice. I apologized for the confusion and then spoke to our billing team to see what type of solution we could come up with. We decided that the best course of action was to offer a long-term pricing package that would provide a discount. This not only solved the problem but got the customer to agree to a longer-term contract, which means we’ll keep their business for at least one year now, and they’re happy with the pricing. I feel I got the best possible outcome and the way I chose to solve the problem was effective.

Example Answer 2:

In my last job, I had to do quite a bit of problem solving related to our shift scheduling. We had four people quit within a week and the department was severely understaffed. I coordinated a ramp-up of our hiring efforts, I got approval from the department head to offer bonuses for overtime work, and then I found eight employees who were willing to do overtime this month. I think the key problem solving skills here were taking initiative, communicating clearly, and reacting quickly to solve this problem before it became an even bigger issue.

Example Answer 3:

In my current marketing role, my manager asked me to come up with a solution to our declining social media engagement. I assessed our current strategy and recent results, analyzed what some of our top competitors were doing, and then came up with an exact blueprint we could follow this year to emulate our best competitors but also stand out and develop a unique voice as a brand. I feel this is a good example of using logic to solve a problem because it was based on analysis and observation of competitors, rather than guessing or quickly reacting to the situation without reliable data. I always use logic and data to solve problems when possible. The project turned out to be a success and we increased our social media engagement by an average of 82% by the end of the year.

Answering Questions About Problem Solving with the STAR Method

When you answer interview questions about problem solving scenarios, or if you decide to demonstrate your problem solving skills in a cover letter (which is a good idea any time the job description mention problem solving as a necessary skill), I recommend using the STAR method to tell your story.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. So before jumping in and talking about the problem that needed solving, make sure to describe the general situation. What job/company were you working at? When was this? Then, you can describe the task at hand and the problem that needed solving. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact.

Finally, describe a positive result you got.

Whether you’re answering interview questions about problem solving or writing a cover letter, you should only choose examples where you got a positive result and successfully solved the issue.

Example answer:

Situation : We had an irate client who was a social media influencer and had impossible delivery time demands we could not meet. She spoke negatively about us in her vlog and asked her followers to boycott our products. (Task : To develop an official statement to explain our company’s side, clarify the issue, and prevent it from getting out of hand). Action : I drafted a statement that balanced empathy, understanding, and utmost customer service with facts, logic, and fairness. It was direct, simple, succinct, and phrased to highlight our brand values while addressing the issue in a logical yet sensitive way.   We also tapped our influencer partners to subtly and indirectly share their positive experiences with our brand so we could counter the negative content being shared online.  Result : We got the results we worked for through proper communication and a positive and strategic campaign. The irate client agreed to have a dialogue with us. She apologized to us, and we reaffirmed our commitment to delivering quality service to all. We assured her that she can reach out to us anytime regarding her purchases and that we’d gladly accommodate her requests whenever possible. She also retracted her negative statements in her vlog and urged her followers to keep supporting our brand.

What Are Good Outcomes of Problem Solving?

Whenever you answer interview questions about problem solving or share examples of problem solving in a cover letter, you want to be sure you’re sharing a positive outcome.

Below are good outcomes of problem solving:

  • Saving the company time or money
  • Making the company money
  • Pleasing/keeping a customer
  • Obtaining new customers
  • Solving a safety issue
  • Solving a staffing/scheduling issue
  • Solving a logistical issue
  • Solving a company hiring issue
  • Solving a technical/software issue
  • Making a process more efficient and faster for the company
  • Creating a new business process to make the company more profitable
  • Improving the company’s brand/image/reputation
  • Getting the company positive reviews from customers/clients

Every employer wants to make more money, save money, and save time. If you can assess your problem solving experience and think about how you’ve helped past employers in those three areas, then that’s a great start. That’s where I recommend you begin looking for stories of times you had to solve problems.

Tips to Improve Your Problem Solving Skills

Throughout your career, you’re going to get hired for better jobs and earn more money if you can show employers that you’re a problem solver. So to improve your problem solving skills, I recommend always analyzing a problem and situation before acting. When discussing problem solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems.

Next, to get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t. Think about how you can get better at researching and analyzing a situation, but also how you can get better at communicating, deciding the right people in the organization to talk to and “pull in” to help you if needed, etc.

Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem solving ability.

If you practice the tips above, you’ll be ready to share detailed, impressive stories and problem solving examples that will make hiring managers want to offer you the job. Every employer appreciates a problem solver, whether solving problems is a requirement listed on the job description or not. And you never know which hiring manager or interviewer will ask you about a time you solved a problem, so you should always be ready to discuss this when applying for a job.

Related interview questions & answers:

  • How do you handle stress?
  • How do you handle conflict?
  • Tell me about a time when you failed

Biron Clark

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Problem-Solving Interview Questions And Answers (With Examples)

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Summary. Problem-solving questions are used to focus on a candidates past experience with managing conflicts and overcoming obstacles in the workplace. When answering these questions, be sure to make your answer relevant to the position that you are applying to and be honest about your strengths and weaknesses. Be sure to provide examples from previous experiences.

Are you in the process of searching for a new job ? If so, you might be getting ready to meet with a hiring manager or a recruiter for a job interview. And if you’re like the majority of job candidates, this stage of the job search process is probably making you feel a fair bit of trepidation.

And no wonder! The interview is a completely necessary step for any job search, but that doesn’t make it any less nerve-wracking to meet with a prospective employer and answer questions about your personality , skills, and professional background.

Key Takeaways:

Being able to solve problems is a skill that almost all job positions need.

Problem-solving questions assess a candidate’s ability to think on their feet, handle pressure, and find creative solutions to complex problems.

Make sure your answer to a problem-solving question tells a story of you as an effective team player.

Problem Solving Interview Questions And Answers (With Examples)

What Is a Problem-Solving Interview Question?

How to answer a problem-solving interview question, eight examples of common problem-solving interview questions and answers, interviewing successfully, curveball questions, problem-solving faq.

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A problem-solving interview question is a question that focuses on a candidate’s past experience with managing conflicts and overcoming unexpected obstacles in the workplace.

Problem-solving questions can come up in many different forms. As a general rule, however, they will be aimed at uncovering your ability to handle stress and uncertainty in a wide variety of contexts.

When you’re answering problem-solving interview questions, there are a few important tips to keep in mind:

Make your answers relevant to the position that you’re applying to. Always bear in mind that the fundamental goal of any interview question is to provide a hiring manager with a glimpse inside the mind of a candidate.

By asking you a problem-solving question, your interviewer is trying to understand whether or not you’re the type of person that could be relied upon under pressure or during a crisis. Every role, furthermore, comes with its own particular type of pressure.

Be honest about your strengths ( and weaknesses ). Hiring managers tend to be quite good at reading people. Therefore, if you give them a bogus response, they’re very likely to see through that – and to subsequently consider you to be untrustworthy.

Of course, it can be tempting at the moment to fabricate certain details in your response in the attempt to make yourself seem like a better candidate. But inventing details – however small – tends to backfire .

Tell stories that will portray you as a team player. Hiring managers and employers are always on the lookout for job candidates who will collaborate and communicate well amongst a broader team.

Be sure to provide examples of moments in which you took charge. Leadership skills are another key quality that hiring managers and employers seek out in job candidates. And being presented with a problem-solving question, as it turns out, is the perfect opportunity to demonstrate your own leadership skills.

Now that we understand the basic principles of problem-solving interview questions and how to respond to them, we’re finally ready to break down some real-world examples. So without any further preamble, here are eight examples of common problem-solving interview questions (as well as some examples of how you might answer them):

Can you tell me about a time when you encountered an unexpected challenge in the workplace? How did you go about dealing with it?

Explanation: With this question , your interviewer will be attempting to get a sense of how well you’re able to adapt to unexpected difficulties. The critical thing to remember when you’re answering this question – as we briefly discussed above – is to recall an incident that will be directly relevant to the role and the organization that you’re applying to.

Here’s an example of a high-quality response to this question:

“I remember a particular day at my previous job when an important deadline was pushed up at the very last minute. As the project manager , it was my responsibility to implement the necessary steps that would enable us to meet this new and truncated deadline. “Many of my peers began to hang their heads, resigning themselves to their belief that there was no hope to meet the new deadline. But I’ve always prided myself on my ability to adapt and thrive within a dynamic and quick-paced work environment – and that’s precisely the personal skill set that I channeled on this occasion. In the end, I reorganized my team’s priorities so that we were able to accommodate the new deadline.”

How would you say you typically respond to problems in general, and in the workplace in particular?

Explanation: This question is primarily designed to gauge a candidate’s ability (or lack thereof) to remain cool, calm, and collected under pressure. The ideal response to this question, in other words, will include a brief personal anecdote that illustrates your level-headedness and your ability to make rational, clear decisions during times of uncertainty.

“I would say that one of the primary qualities that sets me apart from the crowd of other candidates is my ability to remain calm and centered when conditions in the workplace become chaotic. “Looking back, I think that I first began to cultivate this ability during my tenure as a product manager working with a major Silicon Valley start-up. That was a particularly stressful period, but it was also quite instructive – I learned a great deal about staying positive, focused, and productive after an unexpected challenge presented itself. “These days, when I’m confronted by an unexpected problem – whether it’s in my personal life or in my professional life – I immediately channel the conflict management skills that I’ve been honing throughout the duration of my career. This helps a great deal, and my skills in this regard are only continuing to improve.”

Can you tell me about a time when you’ve had to settle a workplace dispute between yourself and a manager or colleague?

Explanation: Always keep in mind that one of the fundamental goals of any problem-solving question is to help a hiring manager gain a clearer sense of a candidate’s ability to work with others.

This question, in particular, is designed to give your interviewer a clearer sense of how well you’re able to communicate and compromise with your colleagues. With that in mind, you should be sure to answer this question in a way that will display a willingness to be fair, empathetic, and respectful to your teammates.

“I recall an incident in my last job in which one of my colleagues felt that I had not provided him with adequate resources to enable him to be successful in a particular project. I was acting as team leader for that particular project, and so it was my responsibility to ensure that everyone in my team was equipped for success. Unfortunately, I had to learn through the proverbial grapevine that this particular colleague bore some ill will toward me. I’ve never been one to participate in idle gossip, and so I decided to speak with this person so that we could begin to find a solution and address his grievances. So I crafted an email to him asking him if he would be interested in joining me for coffee the following day. He accepted the invitation, and during our coffee break, we were able to talk at length about the damage that he felt had been done to him. We devised a mutually agreeable solution on the spot. From then on, we had no significant problems between us.”

Are there any steps that you’ll regularly take during the early stages of a new project to ensure that you’ll be able to manage unexpected problems that occur down the road?

Explanation: This question, above all, is designed to test your ability to plan ahead and mitigate risk. These are both essential qualities that employers typically seek out in job candidates, particularly those who are being vetted for a management or leadership role.

When you’re answering this question, it’s important to emphasize your ability to look ahead towards the future and anticipate potential risks. As with the previous examples that we’ve already examined, the best way to communicate this ability is to provide your interviewer with a concrete example from your previous work history.

“I live my life – and I conduct my work – according to a single, incredibly important motto: “Failing to prepare is preparing to fail.” I’m a firm believer, in other words, of the primacy of careful planning. Without it, projects are almost always doomed to fail. “In my previous role as a marketing content writer with a major software company, I strived to apply this motto to my work every single day. “Here’s an example: About a year ago, I was responsible for overseeing and launching a new content strategy aimed at driving up consumer engagement. From the very outset, I understood that that particular project could be run off the rails if we did not take into account a considerable number of factors. “I won’t bore you with all of the nitty-gritty details, but the point is that this was a particularly sensitive project that required diligent and careful risk assessment. “Having realized that, my colleagues and I devised a comprehensive and flexible strategy for managing many risks that we envisioned would be awaiting us down the road. That initial step – looking ahead towards the future and mapping out the terrain of potential hazards – proved to be an essential measure for the success of the project.”

Do you consider your problem-solving capabilities to be above average?

Explanation: Hiring managers are always on the lookout for job candidates that stand out from the crowd. It’s even better when they can find a job candidate who knows that they stand out and who expresses that knowledge by being confident in their abilities.

At the same time, it’s never in a job candidate’s best interests to come across as egotistical or arrogant. When you’re responding to a question like this (that is, a question that’s focused on your ability to assess your own talents), it’s important to do your best to come across as self-assured but not pompous.

“Yes, all things considered, I would say that I have a talent for risk assessment, problem-solving, and risk mitigation. “That said, I can’t claim complete ownership over these abilities. In most cases, my demonstrated success in managing risk and solving problems in the workplace can be attributed at least as much to my team members as it can to me. For me to be able to be a successful problem-solver, it helps to be surrounded by colleagues whom I can trust.”

How would you describe your typical immediate reaction to unexpected challenges? Do you prefer to jump straight into the problem-solving process, or do you more commonly take some time to analyze and assess the problem before you dive in?

Explanation: This question is aimed at gauging your patience levels. This one can be a bit tricky because employers will sometimes prefer different responses – it all depends on the type of position and employer you’re applying for.

If you’re applying for a role in a quick-paced working environment that demands swift action , it will benefit you to describe your problem-solving strategy as unflinching and immediate.

If, on the other hand, the role you’re applying to does not demand such immediate action, it will probably be better to describe yourself as a more removed and relaxed problem solver.

But as always, you should never lie to your employer. Most of us will fall somewhere in the middle of these two types of problem solvers and will thereby have no difficulty painting ourselves honestly as one or the other.

However, if you’re definitely one type or the other, then you should describe yourself as such. This will make it much more likely that you’ll end up in a position that will be maximally rewarding both for you and for your employer.

“In most cases, my response to an unexpected problem will entirely depend on the nature of the problem at hand. If it demands immediate action, then I’ll dive right in without hesitation. “If, however, I determine that it would be more beneficial to take a step back and analyze the nature of the problem before we begin to meddle with it, then that’s exactly what I’ll do. “Generally speaking, I would say that I prefer the latter approach – that is, to take a step back and think things through before I begin to try to find a solution. In my experience, this makes it much easier for everyone involved to arrive at a practical and sustainable solution. “That said, I’m also perfectly capable of jumping straight into a problem if it demands immediate attention.”

Can you tell us about a time in which you had to explain a technically complicated subject to a client or customer? How did you approach that process, and how did it turn out?

Explanation: Strong communication skills are essential in the modern workplace. That means that employers tend to seek out job candidates that communicate well with their colleagues and individuals who have varying professional backgrounds and skill sets, including clients, customers, and third-party professionals.

“I recall an incident from many years ago – while I was working as a software engineer for a prominent robotics company – in which I found myself in the position of having to describe incredibly complex engineering details to a client. “This client had no prior experience in software engineering or artificial intelligence, so I had to relate this esoteric information more or less in layman terms. “Thankfully, I was able to employ some useful metaphors and analogies to communicate the information in a manner that this client could appreciate and understand. We went on to establish a successful collaborative partnership that flourished for four years.”

How would you rate your ability to work and succeed without direct supervision from your managers?

Explanation: Employers always tend to place a high value on job candidates who are self-motivated and can maintain high levels of productivity without constant supervision.

This is especially true now that the COVID-19 pandemic has suddenly made it necessary for so many millions of employers to transition to a remote workforce model. This question is designed to assess a candidate’s ability to stay focused and motivated while working remotely or without supervision.

“I’ve always considered myself – and my resume and references will support this – to be an exceptionally self-motivated individual, even when I’m working from home. “In fact, like many employees, I often find that my productivity levels tend to increase when I’m working remotely. I strive to set a positive example for my colleagues, even when we’re not all working under the same roof.”

Generally speaking, the best strategy for success in interviewing for a new job is doing your research beforehand. That means that you should be intimately familiar with the role, department, and company that you’re applying to before you step into the room (or log on to the Zoom meeting ) on the day of your interview.

When you preemptively take the time to carefully research the organization as a whole – and the responsibilities of the job opportunity in particular – you’ll minimize your chances of being caught off guard by an unexpectedly difficult question .

Still, there is only so much background information that you can uncover about an organization and a role before a job interview. No matter how carefully you prepare and how much background research you conduct, there are very likely going to be curveball questions during your job interview that you can’t predict.

In fact, many employers prefer to ask curveball questions (in addition to more run of the mill job interview questions) because they provide an insightful glimpse into a job candidate’s analytical thinking skills – not just their ability to memorize and recite answers to more common interview questions .

To that end, many hiring managers will ask job candidates to answer one or more problem-solving questions during a typical job interview. In contrast to traditional interview questions (such as: “Why do you think that you would be a good fit for this role?”

Or: “What do you consider to be your greatest professional achievement up to the current moment?”), problem-solving questions are specifically designed to assess a job candidate’s ability to think on their feet, handle real pressure, and find creative solutions to complex problems.

They’re also commonly referred to as analytical skills interview questions because they’re designed to gauge a candidate’s ability to make analytical decisions in real-time.

What are problem-solving skills?

Problem-solving skills include skills like research, communication, and decision making. Problem-solving skills allow for you to identify and solve problems effectively and efficiently. Research skills allow for you to identify the problem.

Communication skills allow for you to collaborate with others to come up with a plan to solve the problem. Decision making skills allow you to choose the right solution to the problem.

Why do interviewers ask problem-solving interview questions?

Interviewers ask problem-solving interview questions to see how candidate will approach and solve difficult situations. Interviewers want to see how you handle stress and uncertainty before hiring you for a position. Problem-solving is an important part of the everyday workday so they need to be sure you are capable of solving problems.

How do you solve a problem effectively?

To solve problems effectively you should first break the problem down and try different approaches. Breaking the problem up into different parts will help you have a better understanding and help you decide what your next step is going to be.

Once you see the different parts of the problem, trying different approaches to solve the problem can help you solve it faster. This will also help you determine the appropriate tools you need to solve the problem.

U.S. Department of Labor – Interview Tips

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Chris Kolmar is a co-founder of Zippia and the editor-in-chief of the Zippia career advice blog. He has hired over 50 people in his career, been hired five times, and wants to help you land your next job. His research has been featured on the New York Times, Thrillist, VOX, The Atlantic, and a host of local news. More recently, he's been quoted on USA Today, BusinessInsider, and CNBC.

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120 Math Word Problems To Challenge Students Grades 1 to 8

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Use Prodigy to spark a love for math in your students – including when solving word problems!

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You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesn’t come.

Whether you’re a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

120 Math word problems, categorized by skill

Addition word problems.

A teacher is teaching three students with a whiteboard happily.

Best for: 1st grade, 2nd grade

1. Adding to 10: Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?

2. Adding to 20: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store to get 3 more pieces of gum. How many pieces of gum does Adrianna have now?

3. Adding to 100: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

4. Adding Slightly over 100: The restaurant has 175 normal chairs and 20 chairs for babies. How many chairs does the restaurant have in total?

5. Adding to 1,000: How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies?

6. Adding to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?

7. Adding 3 Numbers: Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

8. Adding 3 Numbers to and over 100: Ashley bought a big bag of candy. The bag had 102 blue candies, 100 red candies and 94 green candies. How many candies were there in total?

Subtraction word problems

Best for: 1st grade, second grade

9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are left?

10. Subtracting to 20: Your friend said she had 11 stickers. When you helped her clean her desk, she only had a total of 10 stickers. How many stickers are missing?

11. Subtracting to 100: Adrianna has 100 pieces of gum to share with her friends. When she went to the park, she shared 10 pieces of strawberry gum. When she left the park, Adrianna shared another 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

Five middle school students sitting at a row of desks playing Prodigy Math on tablets.

Practice math word problems with Prodigy Math

Join millions of teachers using Prodigy to make learning fun and differentiate instruction as they answer in-game questions, including math word problems from 1st to 8th grade!

12. Subtracting Slightly over 100: Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

13. Subtracting to 1,000: Nathan has a big ant farm. He decided to sell some of his ants. He started with 965 ants. He sold 213. How many ants does he have now?

14. Subtracting to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In July, the hobby store sold a total of 20,777 trading cards. How many more trading cards did the hobby store sell in July compared with a normal month?

15. Subtracting 3 Numbers: Charlene had a pack of 35 pencil crayons. She gave 6 to her friend Theresa. She gave 3 to her friend Mandy. How many pencil crayons does Charlene have left?

16. Subtracting 3 Numbers to and over 100: Ashley bought a big bag of candy to share with her friends. In total, there were 296 candies. She gave 105 candies to Marissa. She also gave 86 candies to Kayla. How many candies were left?

Multiplication word problems

A hand holding a pen is doing calculation on a pice of papper

Best for: 2nd grade, 3rd grade

17. Multiplying 1-Digit Integers: Adrianna needs to cut a pan of brownies into pieces. She cuts 6 even columns and 3 even rows into the pan. How many brownies does she have?

18. Multiplying 2-Digit Integers: A movie theatre has 25 rows of seats with 20 seats in each row. How many seats are there in total?

19. Multiplying Integers Ending with 0: A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?

20. Multiplying 3 Integers: A bricklayer stacks bricks in 2 rows, with 10 bricks in each row. On top of each row, there is a stack of 6 bricks. How many bricks are there in total?

21. Multiplying 4 Integers: Cayley earns $5 an hour by delivering newspapers. She delivers newspapers 3 days each week, for 4 hours at a time. After delivering newspapers for 8 weeks, how much money will Cayley earn?

Division word problems

Best for: 3rd grade, 4th grade, 5th grade

22. Dividing 1-Digit Integers: If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?

23. Dividing 2-Digit Integers: If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?

24. Dividing Numbers Ending with 0: The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?

25. Dividing 3 Integers: Melissa buys 2 packs of tennis balls for $12 in total. All together, there are 6 tennis balls. How much does 1 pack of tennis balls cost? How much does 1 tennis ball cost?

26. Interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?

Mixed operations word problems

A female teacher is instructing student math on a blackboard

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?

Ordering and number sense word problems

31. Counting to Preview Multiplication: There are 2 chalkboards in your classroom. If each chalkboard needs 2 pieces of chalk, how many pieces do you need in total?

32. Counting to Preview Division: There are 3 chalkboards in your classroom. Each chalkboard has 2 pieces of chalk. This means there are 6 pieces of chalk in total. If you take 1 piece of chalk away from each chalkboard, how many will there be in total?

33. Composing Numbers: What number is 6 tens and 10 ones?

34. Guessing Numbers: I have a 7 in the tens place. I have an even number in the ones place. I am lower than 74. What number am I?

35. Finding the Order: In the hockey game, Mitchell scored more points than William but fewer points than Auston. Who scored the most points? Who scored the fewest points?

Fractions word problems

A student is drawing on a notebook, holding a pencil.

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

36. Finding Fractions of a Group: Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’s street gave her a chocolate bar?

37. Finding Unit Fractions: Heather is painting a portrait of her best friend, Lisa. To make it easier, she divides the portrait into 6 equal parts. What fraction represents each part of the portrait?

38. Adding Fractions with Like Denominators: Noah walks ⅓ of a kilometre to school each day. He also walks ⅓ of a kilometre to get home after school. How many kilometres does he walk in total?

39. Subtracting Fractions with Like Denominators: Last week, Whitney counted the number of juice boxes she had for school lunches. She had ⅗ of a case. This week, it’s down to ⅕ of a case. How much of the case did Whitney drink?

40. Adding Whole Numbers and Fractions with Like Denominators: At lunchtime, an ice cream parlor served 6 ¼ scoops of chocolate ice cream, 5 ¾ scoops of vanilla and 2 ¾ scoops of strawberry. How many scoops of ice cream did the parlor serve in total?

41. Subtracting Whole Numbers and Fractions with Like Denominators: For a party, Jaime had 5 ⅓ bottles of cola for her friends to drink. She drank ⅓ of a bottle herself. Her friends drank 3 ⅓. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed ½ of an assignment at school. When he was home that evening, he completed ⅚ of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used ⅞ of a package of ham. She also used ½ of a package of turkey. How much more ham than turkey did Patty use?

44. Multiplying Fractions: During gym class on Wednesday, the students ran for ¼ of a kilometre. On Thursday, they ran ½ as many kilometres as on Wednesday. How many kilometres did the students run on Thursday? Write your answer as a fraction.

45. Dividing Fractions: A clothing manufacturer uses ⅕ of a bottle of colour dye to make one pair of pants. The manufacturer used ⅘ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank ⅚ of a carton of milk this week. Frank drank 7 times more milk than Mark. How many cartons of milk did Frank drink? Write your answer as a fraction, or as a whole or mixed number.

Decimals word problems

Best for: 4th grade, 5th grade

47. Adding Decimals: You have 2.6 grams of yogurt in your bowl and you add another spoonful of 1.3 grams. How much yogurt do you have in total?

48. Subtracting Decimals: Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gemma have left?

49. Multiplying Decimals with Whole Numbers: Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

50. Dividing Decimals by Whole Numbers: To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to make 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?

51. Mixing Addition and Subtraction of Decimals: Rocco has 1.5 litres of orange soda and 2.25 litres of grape soda in his fridge. Antonio has 1.15 litres of orange soda and 0.62 litres of grape soda. How much more soda does Rocco have than Angelo?

52. Mixing Multiplication and Division of Decimals: 4 days a week, Laura practices martial arts for 1.5 hours. Considering a week is 7 days, what is her average practice time per day each week?

Comparing and sequencing word problems

Four students are sitting together and discussing math questions

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

Time word problems

66. Converting Hours into Minutes: Jeremy helped his mom for 1 hour. For how many minutes was he helping her?

69. Adding Time: If you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school, at what time will you get to school?

70. Subtracting Time: If a train departs at 2:00 p.m. and arrives at 4:00 p.m., how long were passengers on the train for?

71. Finding Start and End Times: Rebecca left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

60. Adding Money: Thomas and Matthew are saving up money to buy a video game together. Thomas has saved $30. Matthew has saved $35. How much money have they saved up together in total?

61. Subtracting Money: Thomas has $80 saved up. He uses his money to buy a video game. The video game costs $67. How much money does he have left?

62. Multiplying Money: Tim gets $5 for delivering the paper. How much money will he have after delivering the paper 3 times?

63. Dividing Money: Robert spent $184.59 to buy 3 hockey sticks. If each hockey stick was the same price, how much did 1 cost?

64. Adding Money with Decimals: You went to the store and bought gum for $1.25 and a sucker for $0.50. How much was your total?

65. Subtracting Money with Decimals: You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a sucker for $0.50. How much money do you have left?

67. Applying Proportional Relationships to Money: Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead, how much money will it cost his parents? Assume the relationship is directly proportional.

68. Applying Percentages to Money: Retta put $100.00 in a bank account that gains 20% interest annually. How much interest will be accumulated in 1 year? And if she makes no withdrawals, how much money will be in the account after 1 year?

Physical measurement word problems

A girl is doing math practice

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

72. Comparing Measurements: Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Micha’s dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Micha’s dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

A tablet showing an example of Prodigy Math's battle gameplay.

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

79. Converting Volume: Shad has a lemonade stand and sold 20 cups of lemonade. Each cup was 500 millilitres. How many litres did Shad sell in total?

80. Converting Length: Stacy and Milda are comparing their heights. Stacy is 1.5 meters tall. Milda is 10 centimetres taller than Stacy. What is Milda’s height in centimetres?

81. Understanding Distance and Direction: A bus leaves the school to take students on a field trip. The bus travels 10 kilometres south, 10 kilometres west, another 5 kilometres south and 15 kilometres north. To return to the school, in which direction does the bus have to travel? How many kilometres must it travel in that direction?

Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

82. Finding a Missing Number: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change: A decade ago, Oakville’s population was 67,624 people. Now, it is 190% larger. What is Oakville’s current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Probability and data relationships word problems

Two students are calculating on a whiteboard

Best for: 4th grade, 5th grade, 6th grade, 7th grade

89. Understanding the Premise of Probability: John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for $7.00. Store B is selling 3 pounds of bananas for $6.00. Which store has the better deal?

95. Writing Equations for Proportional Relationships: Lionel loves soccer, but has trouble motivating himself to practice. So, he incentivizes himself through video games. There is a proportional relationship between the amount of drills Lionel completes, in x , and for how many hours he plays video games, in y . When Lionel completes 10 drills, he plays video games for 30 minutes. Write the equation for the relationship between x and y .

Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

96. Introducing Perimeter:  The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

97. Introducing Area: The theatre has 4 chairs in a row. There are 5 rows. How many chairs are there in total?

98. Introducing Volume: Aaron wants to know how much candy his container can hold. The container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. What is the container’s volume?

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

100. Finding the Perimeter of 2D Shapes: Mitchell wrote his homework questions on a piece of square paper. Each side of the paper is 8 centimetres. What is the perimeter?

101. Determining the Area of 2D Shapes: A single trading card is 9 centimetres long by 6 centimetres wide. What is its area?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

103. Determining the Surface Area of 3D Shapes: What is the surface area of a cube that has a width of 2cm, height of 2 cm and length of 2 cm?

104. Determining the Volume of 3D Shapes: Aaron’s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruce’s container is 25 centimetres tall, 9 centimetres long and 9 centimetres wide. Find the volume of each container. Based on volume, whose container can hold more candy?

105. Identifying Right-Angled Triangles: A triangle has the following side lengths: 3 cm, 4 cm and 5 cm. Is this triangle a right-angled triangle?

106. Identifying Equilateral Triangles: A triangle has the following side lengths: 4 cm, 4 cm and 4 cm. What kind of triangle is it?

107. Identifying Isosceles Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 5 cm. What kind of triangle is it?

108. Identifying Scalene Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 6 cm. What kind of triangle is it?

109. Finding the Perimeter of Triangles: Luigi built a tent in the shape of an equilateral triangle. The perimeter is 21 metres. What is the length of each of the tent’s sides?

110. Determining the Area of Triangles: What is the area of a triangle with a base of 2 units and a height of 3 units?

111. Applying Pythagorean Theorem: A right triangle has one non-hypotenuse side length of 3 inches and the hypotenuse measures 5 inches. What is the length of the other non-hypotenuse side?

112. Finding a Circle’s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpack’s diameter?

113. Finding a Circle's Area: Captain America’s circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

114. Finding a Circle’s Radius: Skylar lives on a farm, where his dad keeps a circular corn maze. The corn maze has a diameter of 2 kilometres. What is the maze’s radius?

Variables word problems

A hand is calculating math problem on a blacboard

Best for: 6th grade, 7th grade, 8th grade

115. Identifying Independent and Dependent Variables: Victoria is baking muffins for her class. The number of muffins she makes is based on how many classmates she has. For this equation, m is the number of muffins and c is the number of classmates. Which variable is independent and which variable is dependent?

116. Writing Variable Expressions for Addition: Last soccer season, Trish scored g goals. Alexa scored 4 more goals than Trish. Write an expression that shows how many goals Alexa scored.

117. Writing Variable Expressions for Subtraction: Elizabeth eats a healthy, balanced breakfast b times a week. Madison sometimes skips breakfast. In total, Madison eats 3 fewer breakfasts a week than Elizabeth. Write an expression that shows how many times a week Madison eats breakfast.

118. Writing Variable Expressions for Multiplication: Last hockey season, Jack scored g goals. Patrik scored twice as many goals than Jack. Write an expression that shows how many goals Patrik scored.

119. Writing Variable Expressions for Division: Amanda has c chocolate bars. She wants to distribute the chocolate bars evenly among 3 friends. Write an expression that shows how many chocolate bars 1 of her friends will receive.

120. Solving Two-Variable Equations: This equation shows how the amount Lucas earns from his after-school job depends on how many hours he works: e = 12h . The variable h represents how many hours he works. The variable e represents how much money he earns. How much money will Lucas earn after working for 6 hours?

How to easily make your own math word problems & word problems worksheets

Two teachers are discussing math with a pen and a notebook

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

  • Link to Student Interests:  By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
  • Make Questions Topical:  Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
  • Include Student Names:  Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
  • Be Explicit:  Repeating keywords distills the question, helping students focus on the core problem.
  • Test Reading Comprehension:  Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
  • Focus on Similar Interests:  Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
  • Feature Red Herrings:  Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

A key to differentiated instruction , word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

Final thoughts about math word problems

You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, they’ll be more relevant to -- and engaging for -- your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

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Algebra Worksheets

Free worksheets with answer keys.

Enjoy these free printable sheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

  • Distance Formula
  • Equation of Circle
  • Factor Trinomials Worksheet
  • Domain and Range
  • Mixed Problems on Writing Equations of Lines
  • Slope Intercept Form Worksheet
  • Standard Form Worksheet
  • Point Slope Worksheet
  • Write Equation of Line from the Slope and 1 Point
  • Write Equation of Line from Two Points
  • Equation of Line Parallel to Another Line and Through a Point
  • Equation of Line Perpendicular to Another Line and Through a Point
  • Slope of a Line
  • Perpendicular Bisector of Segment
  • Write Equation of Line Mixed Review
  • Word Problems
  • Multiplying Monomials Worksheet
  • Multiplying and Dividing Monomials Sheet
  • Adding and Subtracting Polynomials Worksheet
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  • Operations with Polynomials Worksheet
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  • Solve Systems of Equations Graphically
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  • Solve Systems of Equations (Mixed review)
  • Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
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  • Operations with Scientific Notation

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basic problem solving questions and answers

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UsingKinEqns1ThN.png

Check Your Understanding

Answer: d = 1720 m

Answer: a = 8.10 m/s/s

Answers: d = 33.1 m and v f = 25.5 m/s

Answers: a = 11.2 m/s/s and d = 79.8 m

Answer: t = 1.29 s

Answers: a = 243 m/s/s

Answer: a = 0.712 m/s/s

Answer: d = 704 m

Answer: d = 28.6 m

Answer: v i = 7.17 m/s

Answer: v i = 5.03 m/s and hang time = 1.03 s (except for in sports commericals)

Answer: a = 1.62*10 5 m/s/s

Answer: d = 48.0 m

Answer: t = 8.69 s

Answer: a = -1.08*10^6 m/s/s

Answer: d = -57.0 m (57.0 meters deep) 

Answer: v i = 47.6 m/s

Answer: a = 2.86 m/s/s and t = 30. 8 s

Answer: a = 15.8 m/s/s

Answer: v i = 94.4 mi/hr

Solutions to Above Problems

d = (0 m/s)*(32.8 s)+ 0.5*(3.20 m/s 2 )*(32.8 s) 2

Return to Problem 1

110 m = (0 m/s)*(5.21 s)+ 0.5*(a)*(5.21 s) 2

110 m = (13.57 s 2 )*a

a = (110 m)/(13.57 s 2 )

a = 8.10 m/ s 2

Return to Problem 2

d = (0 m/s)*(2.60 s)+ 0.5*(-9.8 m/s 2 )*(2.60 s) 2

d = -33.1 m (- indicates direction)

v f = v i + a*t

v f = 0 + (-9.8 m/s 2 )*(2.60 s)

v f = -25.5 m/s (- indicates direction)

Return to Problem 3

a = (46.1 m/s - 18.5 m/s)/(2.47 s)

a = 11.2 m/s 2

d = v i *t + 0.5*a*t 2

d = (18.5 m/s)*(2.47 s)+ 0.5*(11.2 m/s 2 )*(2.47 s) 2

d = 45.7 m + 34.1 m

(Note: the d can also be calculated using the equation v f 2 = v i 2 + 2*a*d)

Return to Problem 4

-1.40 m = (0 m/s)*(t)+ 0.5*(-1.67 m/s 2 )*(t) 2

-1.40 m = 0+ (-0.835 m/s 2 )*(t) 2

(-1.40 m)/(-0.835 m/s 2 ) = t 2

1.68 s 2 = t 2

Return to Problem 5

a = (444 m/s - 0 m/s)/(1.83 s)

a = 243 m/s 2

d = (0 m/s)*(1.83 s)+ 0.5*(243 m/s 2 )*(1.83 s) 2

d = 0 m + 406 m

Return to Problem 6

(7.10 m/s) 2 = (0 m/s) 2 + 2*(a)*(35.4 m)

50.4 m 2 /s 2 = (0 m/s) 2 + (70.8 m)*a

(50.4 m 2 /s 2 )/(70.8 m) = a

a = 0.712 m/s 2

Return to Problem 7

(65 m/s) 2 = (0 m/s) 2 + 2*(3 m/s 2 )*d

4225 m 2 /s 2 = (0 m/s) 2 + (6 m/s 2 )*d

(4225 m 2 /s 2 )/(6 m/s 2 ) = d

Return to Problem 8

d = (22.4 m/s + 0 m/s)/2 *2.55 s

d = (11.2 m/s)*2.55 s

Return to Problem 9

(0 m/s) 2 = v i 2 + 2*(-9.8 m/s 2 )*(2.62 m)

0 m 2 /s 2 = v i 2 - 51.35 m 2 /s 2

51.35 m 2 /s 2 = v i 2

v i = 7.17 m/s

Return to Problem 10

(0 m/s) 2 = v i 2 + 2*(-9.8 m/s 2 )*(1.29 m)

0 m 2 /s 2 = v i 2 - 25.28 m 2 /s 2

25.28 m 2 /s 2 = v i 2

v i = 5.03 m/s

To find hang time, find the time to the peak and then double it.

0 m/s = 5.03 m/s + (-9.8 m/s 2 )*t up

-5.03 m/s = (-9.8 m/s 2 )*t up

(-5.03 m/s)/(-9.8 m/s 2 ) = t up

t up = 0.513 s

hang time = 1.03 s

Return to Problem 11

(521 m/s) 2 = (0 m/s) 2 + 2*(a)*(0.840 m)

271441 m 2 /s 2 = (0 m/s) 2 + (1.68 m)*a

(271441 m 2 /s 2 )/(1.68 m) = a

a = 1.62*10 5 m /s 2

Return to Problem 12

  • (NOTE: the time required to move to the peak of the trajectory is one-half the total hang time - 3.125 s.)

First use:  v f  = v i  + a*t

0 m/s = v i  + (-9.8  m/s 2 )*(3.13 s)

0 m/s = v i  - 30.7 m/s

v i  = 30.7 m/s  (30.674 m/s)

Now use:  v f 2  = v i 2  + 2*a*d

(0 m/s) 2  = (30.7 m/s) 2  + 2*(-9.8  m/s 2 )*(d)

0 m 2 /s 2  = (940 m 2 /s 2 ) + (-19.6  m/s 2 )*d

-940  m 2 /s 2  = (-19.6  m/s 2 )*d

(-940  m 2 /s 2 )/(-19.6  m/s 2 ) = d

Return to Problem 13

-370 m = (0 m/s)*(t)+ 0.5*(-9.8 m/s 2 )*(t) 2

-370 m = 0+ (-4.9 m/s 2 )*(t) 2

(-370 m)/(-4.9 m/s 2 ) = t 2

75.5 s 2 = t 2

Return to Problem 14

(0 m/s) 2 = (367 m/s) 2 + 2*(a)*(0.0621 m)

0 m 2 /s 2 = (134689 m 2 /s 2 ) + (0.1242 m)*a

-134689 m 2 /s 2 = (0.1242 m)*a

(-134689 m 2 /s 2 )/(0.1242 m) = a

a = -1.08*10 6 m /s 2

(The - sign indicates that the bullet slowed down.)

Return to Problem 15

d = (0 m/s)*(3.41 s)+ 0.5*(-9.8 m/s 2 )*(3.41 s) 2

d = 0 m+ 0.5*(-9.8 m/s 2 )*(11.63 s 2 )

d = -57.0 m

(NOTE: the - sign indicates direction)

Return to Problem 16

(0 m/s) 2 = v i 2 + 2*(- 3.90 m/s 2 )*(290 m)

0 m 2 /s 2 = v i 2 - 2262 m 2 /s 2

2262 m 2 /s 2 = v i 2

v i = 47.6 m /s

Return to Problem 17

( 88.3 m/s) 2 = (0 m/s) 2 + 2*(a)*(1365 m)

7797 m 2 /s 2 = (0 m 2 /s 2 ) + (2730 m)*a

7797 m 2 /s 2 = (2730 m)*a

(7797 m 2 /s 2 )/(2730 m) = a

a = 2.86 m/s 2

88.3 m/s = 0 m/s + (2.86 m/s 2 )*t

(88.3 m/s)/(2.86 m/s 2 ) = t

t = 30. 8 s

Return to Problem 18

( 112 m/s) 2 = (0 m/s) 2 + 2*(a)*(398 m)

12544 m 2 /s 2 = 0 m 2 /s 2 + (796 m)*a

12544 m 2 /s 2 = (796 m)*a

(12544 m 2 /s 2 )/(796 m) = a

a = 15.8 m/s 2

Return to Problem 19

v f 2 = v i 2 + 2*a*d

(0 m/s) 2 = v i 2 + 2*(-9.8 m/s 2 )*(91.5 m)

0 m 2 /s 2 = v i 2 - 1793 m 2 /s 2

1793 m 2 /s 2 = v i 2

v i = 42.3 m/s

Now convert from m/s to mi/hr:

v i = 42.3 m/s * (2.23 mi/hr)/(1 m/s)

v i = 94.4 mi/hr

Return to Problem 20

"Hello World!" in C Easy C (Basic) Max Score: 5 Success Rate: 85.71%

Playing with characters easy c (basic) max score: 5 success rate: 84.20%, sum and difference of two numbers easy c (basic) max score: 5 success rate: 94.56%, functions in c easy c (basic) max score: 10 success rate: 95.94%, pointers in c easy c (basic) max score: 10 success rate: 96.55%, conditional statements in c easy c (basic) max score: 10 success rate: 96.95%, for loop in c easy c (basic) max score: 10 success rate: 93.64%, sum of digits of a five digit number easy c (basic) max score: 15 success rate: 98.66%, bitwise operators easy c (basic) max score: 15 success rate: 94.83%, printing pattern using loops medium c (basic) max score: 30 success rate: 95.91%.

30 Fun Maths Questions with Answers

Table of Contents

Introduction

Mathematics can be fun if you treat it the right way. Maths is nothing less than a game, a game that polishes your intelligence and boosts your concentration. Compared to older times, people have a better and friendly approach to mathematics which makes it more appealing. The golden rule is to know that maths is a mindful activity rather than a task.

There is nothing like hard math problems or tricky maths questions, it’s just that you haven’t explored mathematics well enough to comprehend its easiness and relatability. Maths tricky questions and answers can be transformed into fun math problems if you look at it as if it is a brainstorming session. With the right attitude and friends and teachers, doing math can be most entertaining and delightful.

Kid trying to solve math

Math is interesting because a few equations and diagrams can communicate volumes of information. Treat math as a language, while moving to rigorous proof and using logical reason for performing a particular step in a proof or derivation.

Treating maths as a language totally eradicates the concept of hard math problems or tricky maths questions from your mind. Introducing children to fun maths questions can create a strong love and appreciation for maths at an early age. This way you are setting up the child’s successful future. Fun math problems will urge your child to choose to solve it over playing bingo or baking.

Apparently, there are innumerable methods to make easy maths tricky questions and answers. This includes the inception of the ideology that maths is simpler than their fear. This can be done by connecting maths with everyday life. Practising maths with the aid of dice, cards, puzzles and tables reassures that your child effectively approaches Maths.

If you wish to add some fun and excitement into educational activities, also check out

  • Check out some mind-blowing Math Magic Tricks!
  • Mental Maths: How to Improve it?

Cuemath is one of the world's leading math learning platforms that offers LIVE 1-to-1 online math classes for grades K-12 . Our mission is to transform the way children learn math, to help them excel in school and competitive exams. Our expert tutors conduct 2 or more live classes per week, at a pace that matches the child's learning needs.

Fun Maths Questions with answers - PDF

Here is the Downloadable PDF that consists of Fun Math questions. Click the Download button to view them.

Here are some fun, tricky and hard to solve maths problems that will challenge your thinking ability.

Answer: is 3, because ‘six’ has three letters

What is the number of parking space covered by the car?

Parking space  Math Fun Questions

This tricky math problem went viral a few years back after it appeared on an entrance exam in Hong Kong… for six-year-olds. Supposedly the students had just 20 seconds to solve the problem!

Believe it or not, this “math” question actually requires no math whatsoever. If you flip the image upside down, you’ll see that what you’re dealing with is a simple number sequence.

Replace the question mark in the above problem with the appropriate number.

Missing Number Fun Math Question

Which number is equivalent to 3^(4)÷3^(2)

This problem comes straight from a standardized test given in New York in 2014.

There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete? 

This question comes directly from a second grader's math homework.

To figure out how many small dogs are competing, you have to subtract 36 from 49 and then divide that answer, 13 by 2, to get 6.5 dogs, or the number of big dogs competing. But you’re not done yet! You then have to add 6.5 to 36 to get the number of small dogs competing, which is 42.5. Of course, it’s not actually possible for half a dog to compete in a dog show, but for the sake of this math problem let’s assume that it is.

Add 8.563 and 4.8292.

Adding two decimals together is easier than it looks. Don’t let the fact that 8.563 has fewer numbers than 4.8292 trip you up. All you have to do is add a 0 to the end of 8.563 and then add like you normally would.

I am an odd number. Take away one letter and I become even. What number am I?

Answer:  Seven (take away the ‘s’ and it becomes ‘even’).

Using only an addition, how do you add eight 8’s and get the number 1000?

Answer: 

888 + 88 + 8 + 8 + 8 = 1000

Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?

41 years ago, when Sally was 13 and her mother was 39.

Which 3 numbers have the same answer whether they’re added or multiplied together?

There is a basket containing 5 apples, how do you divide the apples among 5 children so that each child has 1 apple while 1 apple remains in the basket?

4 children get 1 apple each while the fifth child gets the basket with the remaining apple still in it.

There is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?

Fill in the question mark

fun math - find the missing number

Two girls were born to the same mother, at the same time, on the same day, in the same month and the same year and yet somehow they’re not twins. Why not?

Because there was a third girl, which makes them triplets!

A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?

The tide raises both the water and the boat so the water will never reach the fifth rung. 

The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday?  

You have a 3-litre bottle and a 5-litre bottle. How can you measure 4 litres of water by using 3L and 5L bottles? 

Solution 1 :

First, fill 3Lt bottle and pour 3 litres into 5Lt bottle.

Again fill the 3Lt bottle. Now pour 2 litres into the 5Lt bottle until it becomes full.

Now empty 5Lt bottle.

Pour remaining 1 litre in 3Lt bottle into 5Lt bottle.

Now again fill 3Lt bottle and pour 3 litres into 5Lt bottle.

Now you have 4 litres in the 5Lt bottle. That’s it.

Solution 2 :

First, fill the 5Lt bottle and pour 3 litres into 3Lt bottle.

Empty 3Lt bottle.

Pour remaining 2 litres in  5Lt bottle into 3Lt bottle.

Again fill the 5Lt bottle and pour 1 litre into 3 Lt bottle until it becomes full.

3 Friends went to a shop and purchased 3 toys. Each person paid Rs.10 which is the cost of one toy. So, they paid Rs.30 i.e. total amount. The shop owner gave a discount of Rs.5 on the total purchase of 3 toys for Rs.30. Then, among Rs.5, Each person has taken Rs.1 and remaining Rs.2 given to the beggar beside the shop. Now, the effective amount paid by each person is Rs.9 and the amount given to the beggar is Rs.2. So, the total effective amount paid is 9*3 = 27 and the amount given to beggar is Rs.2, thus the total is Rs.29. Where has the other Rs.1 gone from the original Rs.30?

The logic is payments should be equal to receipts. We cannot add the amount paid by persons and the amount given to the beggar and compare it to Rs.30.The total amount paid is ₹27. So, from ₹27, the shop owner received 25 rupees and beggar received ₹ 2. Thus, payments are equal to receipts.

How to get a number 100 by using four sevens (7’s) and a one (1)?

Answer 1:   177 – 77 = 100 ;

Answer 2: (7+7) * (7 + (1/7)) = 100 

Move any four matches to get 3 equilateral triangles only (don’t remove matches)

move match sticks to make equilateral triangles

Find the area of the red triangle.

Finding area of red triangle - fun math question

To solve this fun maths question, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense.

 How many feet are in a mile? 

Solve  - 15+ (-5x) =0

What is 1.92÷3

A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top? 

 If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?

Answer:  

Look at this series: 36, 34, 30, 28, 24, … What number should come next?

  Look at this series: 22, 21, 23, 22, 24, 23, … What number should come next?

If 13 x 12 = 651 & 41 x 23 = 448, then, 24 x 22 =?

Look at this series: 53, 53, 40, 40, 27, 27, … What number should come next?

The ultimate goals of mathematics instruction are students understanding the material presented, applying the skills, and recalling the concepts in the future. There's little benefit in students recalling a formula or procedure to prepare for an assessment tomorrow only to forget the core concept by next week.

Teachers must focus on making sure that the students understand the material and not just memorize the procedures. After you learn the answers to a fun maths question, you begin to ask yourself how you could have missed something so easy. The truth is, most trick questions are designed to trick your mind, which is why the answers to fun maths questions are logical and easy. 

About Cuemath

Cuemath, a student-friendly mathematics and coding platform, conducts regular Online Classes for academics and skill-development, and their Mental Math App, on both iOS and Android , is a one-stop solution for kids to develop multiple skills. Understand the Cuemath Fee structure and sign up for a free trial.

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Python Exercises, Practice Questions and Solutions

  • Python List Exercise
  • Python String Exercise
  • Python Tuple Exercise
  • Python Dictionary Exercise
  • Python Set Exercise

Python Matrix Exercises

  • Python program to a Sort Matrix by index-value equality count
  • Python Program to Reverse Every Kth row in a Matrix
  • Python Program to Convert String Matrix Representation to Matrix
  • Python - Count the frequency of matrix row length
  • Python - Convert Integer Matrix to String Matrix
  • Python Program to Convert Tuple Matrix to Tuple List
  • Python - Group Elements in Matrix
  • Python - Assigning Subsequent Rows to Matrix first row elements
  • Adding and Subtracting Matrices in Python
  • Python - Convert Matrix to dictionary
  • Python - Convert Matrix to Custom Tuple Matrix
  • Python - Matrix Row subset
  • Python - Group similar elements into Matrix
  • Python - Row-wise element Addition in Tuple Matrix
  • Create an n x n square matrix, where all the sub-matrix have the sum of opposite corner elements as even

Python Functions Exercises

  • Python splitfields() Method
  • How to get list of parameters name from a function in Python?
  • How to Print Multiple Arguments in Python?
  • Python program to find the power of a number using recursion
  • Sorting objects of user defined class in Python
  • Assign Function to a Variable in Python
  • Returning a function from a function - Python
  • What are the allowed characters in Python function names?
  • Defining a Python function at runtime
  • Explicitly define datatype in a Python function
  • Functions that accept variable length key value pair as arguments
  • How to find the number of arguments in a Python function?
  • How to check if a Python variable exists?
  • Python - Get Function Signature
  • Python program to convert any base to decimal by using int() method

Python Lambda Exercises

  • Python - Lambda Function to Check if value is in a List
  • Difference between Normal def defined function and Lambda
  • Python: Iterating With Python Lambda
  • How to use if, else & elif in Python Lambda Functions
  • Python - Lambda function to find the smaller value between two elements
  • Lambda with if but without else in Python
  • Python Lambda with underscore as an argument
  • Difference between List comprehension and Lambda in Python
  • Nested Lambda Function in Python
  • Python lambda
  • Python | Sorting string using order defined by another string
  • Python | Find fibonacci series upto n using lambda
  • Overuse of lambda expressions in Python
  • Python program to count Even and Odd numbers in a List
  • Intersection of two arrays in Python ( Lambda expression and filter function )

Python Pattern printing Exercises

  • Simple Diamond Pattern in Python
  • Python - Print Heart Pattern
  • Python program to display half diamond pattern of numbers with star border
  • Python program to print Pascal's Triangle
  • Python program to print the Inverted heart pattern
  • Python Program to print hollow half diamond hash pattern
  • Program to Print K using Alphabets
  • Program to print half Diamond star pattern
  • Program to print window pattern
  • Python Program to print a number diamond of any given size N in Rangoli Style
  • Python program to right rotate n-numbers by 1
  • Python Program to print digit pattern
  • Print with your own font using Python !!
  • Python | Print an Inverted Star Pattern
  • Program to print the diamond shape

Python DateTime Exercises

  • Python - Iterating through a range of dates
  • How to add time onto a DateTime object in Python
  • How to add timestamp to excel file in Python
  • Convert string to datetime in Python with timezone
  • Isoformat to datetime - Python
  • Python datetime to integer timestamp
  • How to convert a Python datetime.datetime to excel serial date number
  • How to create filename containing date or time in Python
  • Convert "unknown format" strings to datetime objects in Python
  • Extract time from datetime in Python
  • Convert Python datetime to epoch
  • Python program to convert unix timestamp string to readable date
  • Python - Group dates in K ranges
  • Python - Divide date range to N equal duration
  • Python - Last business day of every month in year

Python OOPS Exercises

  • Get index in the list of objects by attribute in Python
  • Python program to build flashcard using class in Python
  • How to count number of instances of a class in Python?
  • Shuffle a deck of card with OOPS in Python
  • What is a clean and Pythonic way to have multiple constructors in Python?
  • How to Change a Dictionary Into a Class?
  • How to create an empty class in Python?
  • Student management system in Python
  • How to create a list of object in Python class

Python Regex Exercises

  • Validate an IP address using Python without using RegEx
  • Python program to find the type of IP Address using Regex
  • Converting a 10 digit phone number to US format using Regex in Python
  • Python program to find Indices of Overlapping Substrings
  • Python program to extract Strings between HTML Tags
  • Python - Check if String Contain Only Defined Characters using Regex
  • How to extract date from Excel file using Pandas?
  • Python program to find files having a particular extension using RegEx
  • How to check if a string starts with a substring using regex in Python?
  • How to Remove repetitive characters from words of the given Pandas DataFrame using Regex?
  • Extract punctuation from the specified column of Dataframe using Regex
  • Extract IP address from file using Python
  • Python program to Count Uppercase, Lowercase, special character and numeric values using Regex
  • Categorize Password as Strong or Weak using Regex in Python
  • Python - Substituting patterns in text using regex

Python LinkedList Exercises

  • Python program to Search an Element in a Circular Linked List
  • Implementation of XOR Linked List in Python
  • Pretty print Linked List in Python
  • Python Library for Linked List
  • Python | Stack using Doubly Linked List
  • Python | Queue using Doubly Linked List
  • Program to reverse a linked list using Stack
  • Python program to find middle of a linked list using one traversal
  • Python Program to Reverse a linked list

Python Searching Exercises

  • Binary Search (bisect) in Python
  • Python Program for Linear Search
  • Python Program for Anagram Substring Search (Or Search for all permutations)
  • Python Program for Binary Search (Recursive and Iterative)
  • Python Program for Rabin-Karp Algorithm for Pattern Searching
  • Python Program for KMP Algorithm for Pattern Searching

Python Sorting Exercises

  • Python Code for time Complexity plot of Heap Sort
  • Python Program for Stooge Sort
  • Python Program for Recursive Insertion Sort
  • Python Program for Cycle Sort
  • Bisect Algorithm Functions in Python
  • Python Program for BogoSort or Permutation Sort
  • Python Program for Odd-Even Sort / Brick Sort
  • Python Program for Gnome Sort
  • Python Program for Cocktail Sort
  • Python Program for Bitonic Sort
  • Python Program for Pigeonhole Sort
  • Python Program for Comb Sort
  • Python Program for Iterative Merge Sort
  • Python Program for Binary Insertion Sort
  • Python Program for ShellSort

Python DSA Exercises

  • Saving a Networkx graph in GEXF format and visualize using Gephi
  • Dumping queue into list or array in Python
  • Python program to reverse a stack
  • Python - Stack and StackSwitcher in GTK+ 3
  • Multithreaded Priority Queue in Python
  • Python Program to Reverse the Content of a File using Stack
  • Priority Queue using Queue and Heapdict module in Python
  • Box Blur Algorithm - With Python implementation
  • Python program to reverse the content of a file and store it in another file
  • Check whether the given string is Palindrome using Stack
  • Take input from user and store in .txt file in Python
  • Change case of all characters in a .txt file using Python
  • Finding Duplicate Files with Python

Python File Handling Exercises

  • Python Program to Count Words in Text File
  • Python Program to Delete Specific Line from File
  • Python Program to Replace Specific Line in File
  • Python Program to Print Lines Containing Given String in File
  • Python - Loop through files of certain extensions
  • Compare two Files line by line in Python
  • How to keep old content when Writing to Files in Python?
  • How to get size of folder using Python?
  • How to read multiple text files from folder in Python?
  • Read a CSV into list of lists in Python
  • Python - Write dictionary of list to CSV
  • Convert nested JSON to CSV in Python
  • How to add timestamp to CSV file in Python

Python CSV Exercises

  • How to create multiple CSV files from existing CSV file using Pandas ?
  • How to read all CSV files in a folder in Pandas?
  • How to Sort CSV by multiple columns in Python ?
  • Working with large CSV files in Python
  • How to convert CSV File to PDF File using Python?
  • Visualize data from CSV file in Python
  • Python - Read CSV Columns Into List
  • Sorting a CSV object by dates in Python
  • Python program to extract a single value from JSON response
  • Convert class object to JSON in Python
  • Convert multiple JSON files to CSV Python
  • Convert JSON data Into a Custom Python Object
  • Convert CSV to JSON using Python

Python JSON Exercises

  • Flattening JSON objects in Python
  • Saving Text, JSON, and CSV to a File in Python
  • Convert Text file to JSON in Python
  • Convert JSON to CSV in Python
  • Convert JSON to dictionary in Python
  • Python Program to Get the File Name From the File Path
  • How to get file creation and modification date or time in Python?
  • Menu driven Python program to execute Linux commands
  • Menu Driven Python program for opening the required software Application
  • Open computer drives like C, D or E using Python

Python OS Module Exercises

  • Rename a folder of images using Tkinter
  • Kill a Process by name using Python
  • Finding the largest file in a directory using Python
  • Python - Get list of running processes
  • Python - Get file id of windows file
  • Python - Get number of characters, words, spaces and lines in a file
  • Change current working directory with Python
  • How to move Files and Directories in Python
  • How to get a new API response in a Tkinter textbox?
  • Build GUI Application for Guess Indian State using Tkinter Python
  • How to stop copy, paste, and backspace in text widget in tkinter?
  • How to temporarily remove a Tkinter widget without using just .place?
  • How to open a website in a Tkinter window?

Python Tkinter Exercises

  • Create Address Book in Python - Using Tkinter
  • Changing the colour of Tkinter Menu Bar
  • How to check which Button was clicked in Tkinter ?
  • How to add a border color to a button in Tkinter?
  • How to Change Tkinter LableFrame Border Color?
  • Looping through buttons in Tkinter
  • Visualizing Quick Sort using Tkinter in Python
  • How to Add padding to a tkinter widget only on one side ?
  • Python NumPy - Practice Exercises, Questions, and Solutions
  • Pandas Exercises and Programs
  • How to get the Daily News using Python
  • How to Build Web scraping bot in Python
  • Scrape LinkedIn Using Selenium And Beautiful Soup in Python
  • Scraping Reddit with Python and BeautifulSoup
  • Scraping Indeed Job Data Using Python

Python Web Scraping Exercises

  • How to Scrape all PDF files in a Website?
  • How to Scrape Multiple Pages of a Website Using Python?
  • Quote Guessing Game using Web Scraping in Python
  • How to extract youtube data in Python?
  • How to Download All Images from a Web Page in Python?
  • Test the given page is found or not on the server Using Python
  • How to Extract Wikipedia Data in Python?
  • How to extract paragraph from a website and save it as a text file?
  • Automate Youtube with Python
  • Controlling the Web Browser with Python
  • How to Build a Simple Auto-Login Bot with Python
  • Download Google Image Using Python and Selenium
  • How To Automate Google Chrome Using Foxtrot and Python

Python Selenium Exercises

  • How to scroll down followers popup in Instagram ?
  • How to switch to new window in Selenium for Python?
  • Python Selenium - Find element by text
  • How to scrape multiple pages using Selenium in Python?
  • Python Selenium - Find Button by text
  • Web Scraping Tables with Selenium and Python
  • Selenium - Search for text on page

Python Exercise: Practice makes you perfect in everything. This proverb always proves itself correct. Just like this, if you are a Python learner, then regular practice of Python exercises makes you more confident and sharpens your skills. So, to test your skills, go through these Python exercises with solutions.

Python is a widely used general-purpose high-level language that can be used for many purposes like creating GUI, web Scraping, web development, etc. You might have seen various Python tutorials that explain the concepts in detail but that might not be enough to get hold of this language. The best way to learn is by practising it more and more.

The best thing about this Python practice exercise is that it helps you learn Python using sets of detailed programming questions from basic to advanced. It covers questions on core Python concepts as well as applications of Python in various domains. So if you are at any stage like beginner, intermediate or advanced this Python practice set will help you to boost your programming skills in Python.

basic problem solving questions and answers

List of Python Programming Exercises

In the below section, we have gathered chapter-wise Python exercises with solutions. So, scroll down to the relevant topics and try to solve the Python program practice set.

Python List Exercises

  • Python program to interchange first and last elements in a list
  • Python program to swap two elements in a list
  • Python | Ways to find length of list
  • Maximum of two numbers in Python
  • Minimum of two numbers in Python

>> More Programs on List

Python String Exercises

  • Python program to check whether the string is Symmetrical or Palindrome
  • Reverse words in a given String in Python
  • Ways to remove i’th character from string in Python
  • Find length of a string in python (4 ways)
  • Python program to print even length words in a string

>> More Programs on String

Python Tuple Exercises

  • Python program to Find the size of a Tuple
  • Python – Maximum and Minimum K elements in Tuple
  • Python – Sum of tuple elements
  • Python – Row-wise element Addition in Tuple Matrix
  • Create a list of tuples from given list having number and its cube in each tuple

>> More Programs on Tuple

Python Dictionary Exercises

  • Python | Sort Python Dictionaries by Key or Value
  • Handling missing keys in Python dictionaries
  • Python dictionary with keys having multiple inputs
  • Python program to find the sum of all items in a dictionary
  • Python program to find the size of a Dictionary

>> More Programs on Dictionary

Python Set Exercises

  • Find the size of a Set in Python
  • Iterate over a set in Python
  • Python – Maximum and Minimum in a Set
  • Python – Remove items from Set
  • Python – Check if two lists have atleast one element common

>> More Programs on Sets

  • Python – Assigning Subsequent Rows to Matrix first row elements
  • Python – Group similar elements into Matrix

>> More Programs on Matrices

>> More Programs on Functions

  • Python | Find the Number Occurring Odd Number of Times using Lambda expression and reduce function

>> More Programs on Lambda

  • Programs for printing pyramid patterns in Python

>> More Programs on Python Pattern Printing

  • Python program to get Current Time
  • Get Yesterday’s date using Python
  • Python program to print current year, month and day
  • Python – Convert day number to date in particular year
  • Get Current Time in different Timezone using Python

>> More Programs on DateTime

>> More Programs on Python OOPS

  • Python – Check if String Contain Only Defined Characters using Regex

>> More Programs on Python Regex

>> More Programs on Linked Lists

>> More Programs on Python Searching

  • Python Program for Bubble Sort
  • Python Program for QuickSort
  • Python Program for Insertion Sort
  • Python Program for Selection Sort
  • Python Program for Heap Sort

>> More Programs on Python Sorting

  • Program to Calculate the Edge Cover of a Graph
  • Python Program for N Queen Problem

>> More Programs on Python DSA

  • Read content from one file and write it into another file
  • Write a dictionary to a file in Python
  • How to check file size in Python?
  • Find the most repeated word in a text file
  • How to read specific lines from a File in Python?

>> More Programs on Python File Handling

  • Update column value of CSV in Python
  • How to add a header to a CSV file in Python?
  • Get column names from CSV using Python
  • Writing data from a Python List to CSV row-wise

>> More Programs on Python CSV

>> More Programs on Python JSON

  • Python Script to change name of a file to its timestamp

>> More Programs on OS Module

  • Python | Create a GUI Marksheet using Tkinter
  • Python | ToDo GUI Application using Tkinter
  • Python | GUI Calendar using Tkinter
  • File Explorer in Python using Tkinter
  • Visiting Card Scanner GUI Application using Python

>> More Programs on Python Tkinter

NumPy Exercises

  • How to create an empty and a full NumPy array?
  • Create a Numpy array filled with all zeros
  • Create a Numpy array filled with all ones
  • Replace NumPy array elements that doesn’t satisfy the given condition
  • Get the maximum value from given matrix

>> More Programs on NumPy

Pandas Exercises

  • Make a Pandas DataFrame with two-dimensional list | Python
  • How to iterate over rows in Pandas Dataframe
  • Create a pandas column using for loop
  • Create a Pandas Series from array
  • Pandas | Basic of Time Series Manipulation

>> More Programs on Python Pandas

>> More Programs on Web Scraping

  • Download File in Selenium Using Python
  • Bulk Posting on Facebook Pages using Selenium
  • Google Maps Selenium automation using Python
  • Count total number of Links In Webpage Using Selenium In Python
  • Extract Data From JustDial using Selenium

>> More Programs on Python Selenium

  • Number guessing game in Python
  • 2048 Game in Python
  • Get Live Weather Desktop Notifications Using Python
  • 8-bit game using pygame
  • Tic Tac Toe GUI In Python using PyGame

>> More Projects in Python

In closing, we just want to say that the practice or solving Python problems always helps to clear your core concepts and programming logic. Hence, we have designed this Python exercises after deep research so that one can easily enhance their skills and logic abilities.

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  1. 15 Common Problem-Solving Interview Questions

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    1. When you are faced with a problem, what do you do? Tip: Employers typically ask this question to understand what your problem-solving process looks like. They are looking for you to describe a logical problem-solving process that includes gathering information, analyzing the information and making decisions based on what you've found.

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  8. 26 Good Examples of Problem Solving (Interview Answers)

    Examples of Problem Solving Scenarios in the Workplace. Correcting a mistake at work, whether it was made by you or someone else. Overcoming a delay at work through problem solving and communication. Resolving an issue with a difficult or upset customer. Overcoming issues related to a limited budget, and still delivering good work through the ...

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  10. What is Problem Solving? Steps, Process & Techniques

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    Here is a set of practice problems to accompany the Linear Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University. ... Problem Solving; 6. Studying For an Exam; 7. Taking an Exam; 8. Learn From Your Errors ... Solve each of the following equations and check your ...

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  19. Kinematic Equations: Sample Problems and Solutions

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