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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

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From our blog

120 Math Word Problems To Challenge Students Grades 1 to 8

math problem solving test questions and answers

Make solving math problems fun!

With Prodigy's assessment tools, you can engage your students that adapts for your curriculum, lesson and student needs.

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:

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.

MathPapa Practice

MathPapa Practice has practice problems to help you learn algebra.

Basic Arithmetic

Subtraction, multiplication, basic arithmetic review, multi-digit arithmetic, addition (2-digit), subtraction (2-digit), multiplication (2-digit by 1-digit), division (2-digit answer), multiplication (2-digit by 2-digit), multi-digit division, negative numbers, addition: negative numbers, subtraction: negative numbers, multiplication: negative numbers, division: negative numbers, order of operations, order of operations 1, basic equations, equations: fill in the blank 1, equations: fill in the blank 2, equations: fill in the blank 3 (order of operations), fractions of measurements, fractions of measurements 2, adding fractions, subtracting fractions, adding fractions: fill in the blank, multiplication: fractions 1, multiplication: fractions 2, division: fractions 1, division: fractions 2, division: fractions 3, addition (decimals), subtraction (decimals), multiplication 2 (example problem: 3.5*8), multiplication 3 (example problem: 0.3*80), division (decimals), division (decimals 2), percentages, percentages 1, percentages 2, chain reaction, balance arithmetic, number balance, basic balance 1, basic balance 2, basic balance 3, basic balance 4, basic balance 5, basic algebra, basic algebra 1, basic algebra 2, basic algebra 3, basic algebra 4, basic algebra 5, algebra: basic fractions 1, algebra: basic fractions 2, algebra: basic fractions 3, algebra: basic fractions 4, algebra: basic fractions 5.

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We are providing here maths quiz questions for children to help them increase their knowledge of the subject. These questions are prepared based on fundamental mathematical concepts. The problems here are provided with four multiple answers and students have to choose the right answer. The questions here could be solved by students of all the classes from 6 to 10, as they are based on basic arithmetic operations and geometrical concepts. Thus, on solving them they can also participate in quiz competitions conducted in schools.

Solving these quizzes will help students to gain more knowledge and boost their problem-solving skills. These questions are very easy to solve and will not take much time. Hence, it is recommended to all the children to solve each one of them and test their abilities.

Maths Quiz Questions with Answers (MCQs)

Let us answer here some of the quizzes which are based on simple arithmetic concepts. These problems are based on fundamental concepts, which students can easily answer without picking up a pen and paper.

Q.1. What is the sum of 130+125+191?

Q.2: If we minus 712 from 1500, how much do we get?

Q.3: 50 times of 8 is equal to:

Q.4: 110 divided by 10 is:

D. None of these

Q.5: 20+(90÷2) is equal to:

Q.6: The product of 82 and 5 is:

Q.7: Find the missing terms in multiple of 3: 3, 6, 9, __, 15

Q.8: Solve 24÷8+2.

Q.9: Solve: 300 – (150×2)

Q.10: The product of 121 x 0 x 200 x 25 is

Q.11: What is the next prime number after 5?

Also, read:

Maths Quizzes and Answers

Here are some quiz questions which children should be able to answer quickly.

Q.12: The circumference of the circle is also sometimes called:

Answer: Perimeter of a circle

Q.13: 90 – 35 is equal to:

Q.14: 72 divided by 8 is equal to:

Q.15: How many sides does a decagon have?

Answer: Ten

Q.16: Is -5 an integer? Yes or No.

Answer: Yes

Q.17: The value of pi is equal to:

Answer: 22/7 or 3.14

Q.18: 9 x 7 is equal to:

Q.19: Is triangle a two-dimensional or three-dimensional shape?

Answer: A two-dimensional shape

Q.20: An equilateral triangle has two of its sides equal. True or false?

Answer: False

All the sides of the equilateral triangle are equal.

Q.21: 10 is a natural number. True or false?

Answer: True

Q.22: -10 is a whole number. True or false?

Q.23: 8 raised to the power 0 is equal to:

Q.24: The largest 4 digit number is:

Answer: 9999

Q.25: The smallest 4-digit number is:

Answer: 1000

Q.26: The square of 8 is equal to:

8 2 = 8 x 8 = 64

Q.27: The square root of 5 is:

Answer: 2.23

Q.28: 3 is a perfect square. True or False?

Answer: False.

Q.29: Cube of 5 is equal to:

Answer: 125

5 3 = 5 x 5 x 5 = 125

Q.30: Cube root of 1331 is:

1331 = 11 x 11 x 11 = 11 3

Q.31: 27 is a perfect cube. True or False?

27 = 3 x 3 x 3= 3 3

Q.32: A square has all its angles equal to:

Answer: 90 degrees

Q.33: The area of rectangle is equal to:

Answer: Length x Breadth

Q.34: If a is the side of cube, then the volume of the cube is:

Answer: a 3

Q.35: A regular polygon has all its sides:

Answer: Equal

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Regular Math questions are the classic multiple-choice math problems that you find on many standardized tests. Regular Math questions consist of a question followed by 5 answer choices, one of which is correct. 35 out of the 60 math questions on the SAT are Regular Math , so doing well on this question type is essential for a good score on the quantitative section of the SAT. The math tested on the SAT mainly consists of junior and senior high school level arithmetic, algebra and geometry. Sample Question #1 Directions: Solve the following problem and choose the best answer. A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total which of the following?
$1,000 $1,200 $1,400 $1,800 $2,200

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Course: SAT   >   Unit 6

The SAT Math Test: Problem Solving and Data Analysis

In this series of articles, we take a closer look at the SAT Math Test.

Sat math questions fall into different categories called "domains." one of these domains is problem solving and data analysis..

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Top Trade School

Computation & Problem Solving Practice Test

This is a short math practice test with questions and answers related to computation and problem solving.

#1 21 birds is correct

#2 -85 is correct

#3 6 stickers is correct

#4 8 1/12 miles

#5 $ 99.89 is correct

#6 32 students is correct

#7 $ 32.30 is correct

#8 3 is correct

#9 3($3.50 – $1.75) $3.50

Try again 🙂

Share your score!

#1. Keiko spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon?

21 birds is correct

#2. The expression –105 + (–14) + 34 simplifies to which of the following?

-85 is correct

#3. A teacher has three packages of stickers. One package contains 56 stickers, another package contains 48 stickers, and the third package contains 58 stickers. If the teacher divides all the stickers equally among 27 students, how many stickers will each student receive?

6 stickers is correct

#4. Last week Mario walked 7 3/4 miles. This week he walked 15 5/6 miles. What is the difference between the distance he walked this week and the distance he walked last week?

8 1/12 miles is correct

#5. A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax?

$ 99.89 is correct

#6. At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 8 students remaining in the class, how many students were originally in the class?

32 students is correct

#7. Peter works 38 hours per week and earns $7.25 per hour. His employer gives him a raise that increases his weekly gross pay to $307.80. What is the increase in Peter’s weekly gross pay?

$ 32.30 is correct

#8. Solve for y when y – 2 + 3y = 10

3 is correct

#9. Tony buys 4 notebooks for $3.50 each at a store. The next day he returns to the store and exchanges the notebooks for 3 notebooks that have gone on sale for $1.75 each. Antonio uses the following expression to calculate the amount of money he should receive back from the exchange. (4 × $3.50) – (3 × $1.75) Which of the following expressions could Antonio have also used?

3($3.50 – $1.75) $3.50 is correct

Correct answers shown at end of test.

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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

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.

Complete Test Preparation Inc.

Free Basic Math Practice Test – Includes Answer Key and Step-by-Step Solution!

math problem solving test questions and answers

FREE Basic Math Interactive Quiz

Practice questions.

1. 491 ÷ 9 =

A. 54 r5 B. 56 r6 C. 57 r5 D. 51 r3

2. 703 ÷ 6 =

A. 116 r5 B. 117 r1 C. 116 r3 D. 118 r4

3. Express 71/1000 as a decimal.

A. .71 B. .0071 C. .071 D. 7.1

4. 4.7 + .9 + .01 =

A. 5.5 B. 6.51 C. 5.61 D. 5.7

5. .33 × .59 =

A. .1947 B. 1.947 C. .0197 D. .1817

6. .84 ÷ .7 =

A. .12 B. 12 C. .012 D. 1.2

7. Express the ten thousandths place in 1.7389

A. 1 B. 8 C. 9 D. 3

8. .87 – .48 =

A. .39 B. .49 C. .41 D. .37

9. Round 3.864 to the nearest tenth.

A. 3.9 B. 3.86 C. 4 D. 3.96

10. Which is the equivalent decimal number for forty nine thousandths?

A. .49 B. .0049 C. .049 D. 4.9

1.  A 2 . B 3 .  C 4 . C 5.  A 6.  D 7.  C 8.  A 9.  A 10.  C

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22 comments.

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Check your figures – Choice D, 1.2 is correct. You are missing a decimal point. .84 ÷ .7 = 1.2

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#6 Answer is .12

the answer is correct – .84 ÷ .7 = 1.2 choice D. Watch the decimal from the question number – 6. .84 ÷ .7 = 1.2

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Sorry. Got it.

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Hi, your site is great. I’ve liked you on facebook. How can I please get the other questions?

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what a fantastic site

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Ok 4) is not c. Its d

Yes – #4 is C 4.7 + .9 + .01 = 5.61

lets see – the question is – notice that .9 equals 0.9 and .01 equals 0.01 – that makes it easier to keep straight Questions is – 4.7 + .9 + .01

Take the first part – 4.7 + 0.9 = 5.6

5.6 + 0.01 = 5.61 Choice C is correct

Watch your decimals!

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5.61 is the right answer.

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how?explain

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good practice thanks!

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Why for number 6 the decimal is moved only once and for number 5 the decimal is all the way in the front?

One is multiplication and one is division

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For #5, count the digits behind the decimal place in the question, this will tell you where to place the decimal place in the answer. For #6, you only need to move the decimal one place over for the the denominator to be devisable by the numerator (7 goes into 8)

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good explanation is needed” because ” other people don’t understand it

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Great practice questions and i really enjoyed the practice on this site. I have a upcoming basic math test to take this weekend for a better job career and i needed a little practice. Thanks…

703 / 6 = 117.1667 or 117 R1

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Hi Brian, I’m in Fort St. John, BC I’d like to study for and take this test as soon as possible …. How do I get started?

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how to compute number 10

Which is the equivalent decimal number for forty nine thousandths? A number in the thousanths place means 3 places of decimal so choice C – 0.049 is correct

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Free practice tests, questions and answers

Practice Aptitude Tests

Take one of our practice aptitude tests : numerical, verbal, inductive, abstract, cognitive, deductive, logical, mechanical and watson graser..

Each test is free to take and includes questions, answers and fully explained solutions . After you take a test, write a comment below it to let others know how you found it.

math problem solving test questions and answers

What Are Aptitude Tests?

Aptitude tests are short tests employers use to assess whether a candidate has the level of competency necessary for a particular type of job.

In general these tests will measure critical thinking skills, attention to detail and problem-solving skills.

Aptitude tests are often used as part of an interview process, particularly for graduate jobs, entry level jobs and jobs in Finance.

What Are The Different Types Of Aptitude Test?

Broadly speaking there are three types of aptitude test :

How to Prepare for an Aptitude Test

Aptitude tests are designed to be challenging.

To ensure that you do as well as you possibly can, there really is no substitute for practice.

But don’t waste time practicing more than you need to.

Find out exactly what type of aptitude test you will be taking and practice just this type of test.

First use example questions with explained answers to familiarise yourself with the types of questions you will be asked and then take practice tests to improve your performance.

What Are Aptitude Tests Like?

Aptitude tests are typically quite short, often less than 15 minutes long, and are usually completed online.

Tests generally have challenging time limits and often increase in difficulty throughout the test.

This is to put the candidate under pressure and try to understand what their maximum level of performance is.

Typically, tests present the candidate with some information and ask them to use this information to answer a question, usually providing a number of possible answers.

The more questions the candidate answers correctly within the time limit, the better their score will be.

While some aptitude tests will only focus on one type of thinking (either verbal or numerical reasoning, for example) some will have multiple sections that will test various different types of skills.

A multi-part assessment such as that will often take about an hour to complete.

Each section will be roughly 10 to 30 questions, depending on how complex each question is on a particular test.

Basically, if there are more complex questions, the assessment section will have fewer questions.

The position for which the test is being given may also determine the complexity and length of the assessment, i.e., the higher-level the job, the more questions and more complex questions are likely to be asked.

How Aptitude Tests Are Marked

Aptitude tests are norm referenced.

This means that your performance on the test will be compared to a “norm group.”

A norm group is a group of people with similar characteristics to the candidate, a group of graduate trainees for example.

Your score will be compared to the scores of the people in the norm group, and this will allow the assessor to understand your performance relative to others who are similar to you.

Usually, a candidate’s score is expressed as a percentile.

This, then, tells the assessor what percentage of the norm group their performance surpassed.

If a candidate scored on the 75th percentile, for example, they have performed better than 75 percent of the norm group.

Each particular employer may have a different performance level required for specific positions.

To be successful, the candidate must achieve a level of performance that exceeds a stated minimum.

Candidates will usually not know what the minimum score requirement is before they take an aptitude test .

Why Are Aptitude Tests Used?

Aptitude tests are often used by employers as part of a selection process for a job.

While aptitude tests won’t necessarily test candidates on their ability to perform a specific job within a company, they will give the employer a general sense of how well a candidate can think on their toes and demonstrate critical-thinking skills that would be reflective of the type of thinking they’ll need to do on the job.

Administering aptitude tests allows companies to narrow down the number of candidates who have applied for a job to a more refined group that may be more qualified for the job.

When Are Aptitude Tests Used?

Aptitude tests are most often used before a formal interview and are normally conducted online.

Employers often use the results of the tests in conjunction with how a candidate has performed in an interview to make a final hiring decision.

Combined, the two modes of assessment give employers a clearer picture of a candidate’s ability.

How To Pass Aptitude Tests: Our Top 3 Tips

Familiarize yourself with common types of questions that you will be asked. For example, numerical tests often have questions about percentages. Make sure you know how to work these out before your test!

If you’re taking an aptitude test online make sure you are sitting somewhere quiet where you won’t be disturbed for the duration of the test.

When you are taking tests, work quickly but accurately and ensure you take a few seconds to double check you’ve understood the question and that you’ve actually selected the answer you had in mind.

THE JOBSEEKER'S GUIDE TO

Aptitude tests.

math problem solving test questions and answers

The secret to not being intimidated by tests?

Preparation, what are the different types of aptitude test, these are the most common types of aptitude test that you will encounter:, numerical reasoning tests.

These tests require you to answer questions based on statistics, figures and charts.

Verbal reasoning tests

A means of assessing your verbal logic and capacity to quickly digest information from passages of text.

Intray exercises

A business-related scenario that assesses how well you can prioritise tasks.

Diagrammatic tests

Tests that measure your logical reasoning , usually under strict time conditions.

Situational judgement tests

Psychological tests that assess your judgement in resolving work-based problems.

Inductive reasoning tests

Tests that identify how well a candidate can see the underlying logic in patterns, rather than words or numbers.

Cognitive ability tests

A measurement of general intelligence, covering many categories of aptitude test .

Mechanical reasoning tests

These assess your ability to apply mechanical or engineering principles to problems; they are often used for technical roles.

Watson Glaser tests

Designed to assess a candidate’s ability to critically consider arguments; often used by law firms.

Abstract reasoning tests

Another name for inductive reasoning tests .

Spatial awareness tests

These tests assess your capacity to mentally manipulate images, and are often used in applications for jobs in design, engineering and architecture.

Error checking tests

An unusual type of aptitude test that focuses on your ability to identify errors in complex data sets.

Test Structure for Aptitude Tests

Tests are timed and are typically multiple choice. It is not uncommon for some available answers to be deliberately misleading, so you must take care as you work through.

Some tests escalate in difficulty as they progress. Typically these tests are not designed to be finished by candidates.

SCORES AND MARKING

Most employers take people’s backgrounds into consideration for marking.

For example, maths graduates will have an unfair advantage over arts graduates on a numerical test .

NEGATIVE MARKING

Many aptitude tests incorporate negative marking. This means that for every answer you give incorrectly, a mark will be deducted from your total (rather than scoring no mark). If this is the case, you will normally be told beforehand.

In any test that does incorporate negative marking, you must not guess answers, even if you are under extreme time pressure, as you will undo your chances of passing.

PRACTICE IN ADVANCE

Evidence suggests that some practice of similar aptitude tests may improve your performance in the real tests. Practice exam technique and try to become more familiar with the types of test you may face by completing practice questions.

Even basic word and number puzzles may help you become used to the comprehension and arithmetic aspects of some tests.

PREPARATION BEFORE THE TEST

Treat aptitude tests like an interview: get a good night’s sleep, plan your journey to the test site, and arrive on time and appropriately dressed. Listen to the instructions you are given and follow them precisely.

You will normally be given some paper on which to make rough workings. Often you can be asked to hand these in with the test, but typically they do not form part of the assessment

TAKING THE TEST

Don’t get stuck on any particular question: should you have any problems, return to it at the end of the test. You should divide your time per question as accurately as you can – typically this will be between 50 and 90 seconds per question.

Remember that multiple-choice options are often designed to mislead you, with incorrect choices including common mistakes that candidates make.

TIPS FOR SUCCESS

math problem solving test questions and answers

math problem solving test questions and answers

Free Mathematics Tutorials

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Grade 7 Maths Problems With Answers

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

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GCSE Maths question stumps parents as only 8% can answer it

GCSE Maths question stumps parents as only 8% can answer it

Jasmyne Jeffery

Parents will often say that maths has got a lot harder since they were kids, and a recent question seems to prove that. As Year 11s are now in the full swing of the GCSE exams, test your Maths knowledge with this tricky algebra question only 8 per cent of parents could answer.

It’s typical for parents to dread their kids bringing back their homework and needing help with it. Some subjects are easy to blag your way through, but Maths is definitely not one of them. As children hit secondary school, the subject becomes less to do with numbers and more to do with letters and confusing equations that seem like riddles .

Year 11 students are currently sitting their GCSEs, meaning many will be running to parents needing panicked help with their revision. Prepare yourself by putting your knowledge to the test by having a go at this tricky Maths question that 92 per cent of parents couldn’t answer.

This Maths GCSE question has stumped most parents

The baffling question has stumped well over the majority of parents that SaveMyExam tested it on and has made it onto Twitter .

We’ll give you a go at answering first. However, the answer and explanation will follow, as well as some handy tips for puzzle -solving next time.

The question:

Apparently this is the "GCSE maths question that 100% of parents got wrong" according to a few online news outlets. Can you do any better? pic.twitter.com/GZYMsxzt1Y — DHS Maths (@DHSMaths1) December 29, 2022

Just looking at it is confusing and we wouldn’t be surprised if all your Maths knowledge immediately left your brain.

Don’t worry if you haven’t got it, you certainly aren’t alone as 92 per cent of parents asked couldn’t work it out either. To make you feel better, it’s also one of the hardest GCSE Maths questions that could be asked.

Plus, it’s very unlikely something like this would come up in everyday life. It’s definitely not information that should be prioritised.

Nonetheless, let’s tell you how to figure it out.

The answer that 92 per cent of parents couldn’t work out

Thankfully we, along with the people that set the question, can give you a helping hand to figure out the tricky GCSE maths question.

Little boy in white shirt facing white board with hands on his head looking at lots of maths calculations

Lucy Kirkham, a Maths Lead at SaveMyExams who posed the question, has offered some handy tips.

“Seeing questions with loads of Algebra can be scary but breaking them down into smaller chunks will help you work through them more easily.”

In their example, they break the shape into two shapes. They become Shape B, the smaller square, and Shape C, the larger rectangle.

From this, you can work out the area of each shape.

Shape B = 4(x+1)

Shape C = (2x + 6) (x +n7)

As you have used the 4 on Shape B, you remove it from x + 11 which will give you x + 7 to work with instead.

At this point, it’s the case of expanding the brackets and simplifying the equation. Then it’s just adding the two areas together.

Shape B = 4x + 4

Shape C = 2x² + 14x 6x+ 42, when then simplified becomes: 2x ² + 20x + 42.

Add it all together and you get…

2x ² + 24x + 46

If you’re still confused, then Lucy has some reassuring words:

“Even if you don’t get all the way through, marks are awarded for different stages of your working so you can always try to pick up some marks and use our model answers to see how you’d pick up the rest.”

It’s the classic case of showing your workings out that teachers have drilled into us since education began! So, even though you didn’t get full marks, you may have scraped through with the odd couple.

You can rest assured that, despite your Year 11 children presenting you with this every now and then, it’s fairly likely you’ll never have to see algebra again!

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