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For younger learners

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Addition and Subtraction

These activities are part of our Primary collections , which are problems grouped by topic.

Pairs of Numbers

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Butterfly Flowers

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Subtraction Slip

Can you spot the mistake in this video? How would you work out the answer to this calculation?

Number Lines

A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line. Can you work out where their counters will land?

The Add and Take-away Path

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

Equivalent Pairs

Can you match pairs of cards which show the same amount?

Two Spinners

What two-digit numbers can you make with these two dice? What can't you make?

Cuisenaire Counting

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

Find all the numbers that can be made by adding the dots on two dice.

What Could It Be?

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

What's in a Name?

What do you notice about these squares of numbers? What is the same? What is different?

Sort Them Out (1)

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Unit Differences

This challenge is about finding the difference between numbers which have the same tens digit.

Number Balance

Can you hang weights in the right place to make the the number balance balanced?

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

Domino Sorting

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

What Was in the Box?

This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?

One Big Triangle

Make one big triangle so the numbers that touch on the small triangles add to 10.

Arranging Additions and Sorting Subtractions

Order these four calculations from easiest to hardest. How did you decide?

How Do You See It?

Here are some short problems for you to try. Talk to your friends about how you work them out.

What could the half time scores have been in these Olympic hockey matches?

Strike it Out

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Poly Plug Rectangles

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Dicey Addition

Who said that adding couldn't be fun?

Sitting Round the Party Tables

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Doing and Undoing

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

Cuisenaire Environment

An environment which simulates working with Cuisenaire rods.

Birthday Cakes

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Find the Difference

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Heads and Feet

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Jumping Squares

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

Ladybirds in the Garden

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Eggs in Baskets

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

Secret Number

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

The Brown Family

Use the information about Sally and her brother to find out how many children there are in the Brown family.

The Tall Tower

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

Number Round Up

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Cambridge University Faculty of Mathematics

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Mathematical mindsets
  • Cross-curricular contexts
  • Physical and digital manipulatives

For younger learners

  • Early Years Foundation Stage

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics

Your Solutions

Take a look at these recently solved problems.

nrich subtraction problem solving ks1

Eightness of Eight

What do you see as you watch this video? Can you create a similar video for the number 12?

nrich subtraction problem solving ks1

If the World Were a Village

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

nrich subtraction problem solving ks1

Seeing Parallelograms

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

nrich subtraction problem solving ks1

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

nrich subtraction problem solving ks1

Seeing Rhombuses

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

nrich subtraction problem solving ks1

These clocks have only one hand, but can you work out what time they are showing from the information?

nrich subtraction problem solving ks1

Dice in a Corner

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

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nrich subtraction problem solving ks1

Your Solutions!

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Maths year 1 autumn addition and subtraction.

Teach a selection of units to meet the needs of your class.

Adding by counting on (suggested as 4 days)

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TAs & Tutors / Home Learning

With TA/Tutor

These materials are for a TA or Tutor to use with a small group of children or one child. They support the learning in class in this unit. Notes are provided for teacher and TA/Tutor.

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Back to Lockdown?

If your class or school is closing for a while, this Route map outlines what to teach online, and what to practise at home. The Home pack includes everything you and the children will need.

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Partitioning to create number bonds (suggested as 4 days)

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Subtraction: count back/take away (suggested as 5 days)

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Ruth's top tips: Subtraction Strategies for KS1 from YouTube.com

Add by counting on (numbers to 20) (suggested as 4 days)

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  • Unit Resources

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Number bonds to 10 (suggested as 4 days)

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Say 1 more/less than nos to 100 (suggested as 2 days)

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In-depth Investigation: Next Domino from nrich.maths.org

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This unit has no separate Extra Support activities.

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Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Extra Support worksheets come with guidance for a teacher or TA working with small groups. They can make a significant difference to children working below ARE. Extra support is linked to individual objectives-based units, but you can also explore a set for a whole year.

Procedural fluency is fundamental to numeracy, and Hamilton's practice worksheets are carefully differentiated for children working toward Age Related Expectations (ARE), at ARE and at greater depth. Practice is linked to individual objectives-based units, but you can also explore sets of worksheets for the whole year.

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nrich subtraction problem solving ks1

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Solving Subtraction Problems KS1 Reasoning Test Practice

These questions have been taken from the 2016 Reasoning Test KS1 Paper to help your children practise specific question types.

National Curriculum Objectives Year 1 -  (1C4) Solve one step problems involving subtraction Year 2 - (2C4) Solve problems with subtraction Year 2 - (2C1) Recall and use subtraction facts to 20 and related facts to 100. Year 2 -  (2C2b) Subtract a two digit and ones, a two-digit and tens and two two-digit numbers.​​

Differentiation:

Beginner Taking away a 1-digit number from a 1-digit number including number bonds to 10.  Aimed at Year 1 Developing.

Easy Taking away a 1-digit number from a 2-digit number (including number bonds to 20) using numbers up to 30.  Aimed at Year 1 secure/Year 2 Emerging.

Tricky Taking away a 1-digit number from a 2-digit number and some 2-digit numbers from a 2-digit number using multiples of 10.  Aimed at Year 2 Developing.

Expert Taking away 2-digit numbers from 2-digit numbers.  Aimed at Year 2 Secure.

Worksheets include answers.

Solving Subtraction Problems - Beginner (Worksheet)

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Solving Subtraction Problems - Easy (Worksheet)

nrich subtraction problem solving ks1

Solving Subtraction Problems - Tricky (Worksheet)

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Solving Subtraction Problems - Expert (Worksheet)

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VIDEO

  1. Math Episode 80 (Create and use problems that involve addition and subtraction.)

  2. solve Subtraction problem #shorts #maths

  3. Maths- Subtraction Operation

  4. Simple Subtraction Math video

  5. Subtraction in the easy method. (Without Regrouping)

  6. Can You Help the Farmer? 🚜🐔 Solve This 3rd Grade Math Problem!

COMMENTS

  1. Addition and Subtraction KS1

    Challenge Level Can you match pairs of cards which show the same amount? Number Lines Age 5 to 7 Challenge Level A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line.

  2. Addition and Subtraction

    Age 5 to 7 These lower primary tasks all involve addition, subtraction or both. Addition and Subtraction Age 7 to 11 Have a go at these upper primary activities which all involve addition, subtraction or both.

  3. Problem Solving

    Using NRICH Tasks to Develop Key Problem-solving Skills Age 5 to 11 This article, written for primary teachers, discusses what we mean by 'problem-solving skills' and draws attention to NRICH tasks which can help develop specific skills. Trial and Improvement at KS1 Age 5 to 7

  4. Addition and Subtraction

    Challenge Level A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line. Can you work out where their counters will land? The Add and Take-away Path Age 5 to 7 Challenge Level

  5. PDF Puzzles and Problems for Year 1 and Year 2

    Put the plates in a cross. Use all 15 counters. Put a different number on each plate. Make each line add up to 10. Do it again. This time make each line add up to 8. Solve mathematical problems or puzzles. Know addition and subtraction facts up to 10. Add three small numbers mentally.

  6. Your Solutions

    The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

  7. Number, Addition and Subtraction

    The Number, Addition and Subtraction spine is divided into 31 segments. For each of these segments we have produced a detailed teacher guide, including text and images. The images are also presented as animated PowerPoint slides, which further enhance teacher knowledge and can be used in the classroom (for best results, please view these in 'Slideshow' view; for some slides, supporting ...

  8. 30 Problem Solving Addition and Subtraction

    Year 1 Numbers to 20 Puzzles Seaside Number Bonds Activity Cards Subtraction Facts within 10 Cut and Stick 5.0 (1 review) Subtract a 1-Digit Number from a 2-Digit Differentiated Worksheets 4.0 (1 review) KS1 Making Totals Number Puzzles Number Bonds within 100 Multiple Choice Quiz 4.0 (5 reviews) Magic Square Addition to 100 Worksheet

  9. PDF Number: Addition and Subtraction with Reasoning

    problems such as 7 = - 9 solve problems with addition and subtraction: * using concrete objects and pictorial representations, including those involving numbers, quantities and measures * applying their increasing knowledge of mental and written methods solve problems, including mi ssing number problems, using number facts, place

  10. Year 1 Addition and Subtraction

    Each unit in this Flexible Maths Block covers a set of Year 1 Addition and Subtraction related skills and concepts. Unit 1: Adding by counting on. Unit 2: Partitioning to create number bonds. Unit 3: Subtraction: count back/take away. Unit 4: Add by counting on (numbers to 20). Unit 5: Number bonds to 10. Unit 6: Say one more/one less up to 100.

  11. Working Backwards at KS1

    This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

  12. Solving Subtraction Problems KS1 Reasoning Test Practice

    National Curriculum Objectives Year 1 - (1C4) Solve one step problems involving subtraction Year 2 - (2C4) Solve problems with subtraction Year 2 - (2C1) Recall and use subtraction facts to 20 and related facts to 100. Year 2 - (2C2b) Subtract a two digit and ones, a two-digit and tens and two two-digit numbers. Differentiation:

  13. PDF Problem-solving activities: ideas for the classroom

    KS1 / KS2 Introduction 33 schools from the Royal Society Schools Network were chosen to take part in a problem-solving club pilot scheme, with the aim to set up a new mathematics or computing focused problem-solving club for their students. Each club developed its own programme of activities, and teachers were encouraged to explore opportunities

  14. Maths problem of the Day

    Each day in March we provide four problems across KS1, KS2 and Lower KS3 for pupils to solve. View the archive BBC Bitesize problems Problems March Problems of the Day 2020 - KS2/KS3 Full Set Here's the full set of KS2/KS3 problems from this year, along with answers. Download March Problems of the Day 2020 - KS1 Full Set

  15. Subtraction Word Problems

    Make learning maths fun for children with these engaging challenge cards, which can be a great addition to your KS1 maths lessons. Each page features four different challenge cards with lovely hand-drawn images to help your pupils relate maths problems to real-life scenarios. The 12 subtraction word problems for year 1 and 2 are designed to match key maths curriculum aims, so you can rest ...

  16. Year 2 Addition and Subtraction Solve problems

    An award-winning maths scheme that has been written to address the aims of the 2014 curriculum and ready-to-progress criteria. Explore our FREE planning overviews by clicking here. Year 2 Number - Addition and Subtraction Solve problems with addition and subtraction: using concrete objects and pictorial representations, including those ...

  17. Subtraction Surprise

    Pick any three digit number. Reverse the digits, so write your number back to front. Subtract the smaller of your two numbers from the larger one. Now reverse the digits of the answer you get. Add the answer to its reverse. Choose some three-digit numbers of your own. (Make sure the first and third digits are different)

  18. Nrich Subtraction Problem Solving Ks 1

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  21. Addition and Subtraction KS2

    Age 5 to 11 Challenge Level This is an adding game for two players. Can you be the first to reach the target? Strike it Out Age 5 to 11 Challenge Level Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game. 4 Dom Age 5 to 11 Challenge Level

  22. Nrich Subtraction Problem Solving Ks 1

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  23. Multiplication and Division KS1

    Age 5 to 11 Challenge Level Follow the clues to find the mystery number. The Tomato and the Bean Age 5 to 7 Challenge Level At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height? Share Bears Age 5 to 7 Challenge Level Yasmin and Zach have some bears to share.