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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
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Cambridge Primary Maths Mapping Stage 1

For more resources see the primary curriculum mapping documents.

Number Stage 1

Incey Wincey

Age 3 to 5

In this game, children roll the dice and count how many steps to move the spider up or down the drainpipe.

Dice

Age 3 to 5

This dice activity encourages children to relate the number on the dice to the number of teddies they need to choose.

How Many?

Age 5 to 7
Challenge Level Yellow star

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

Number Lines

Age 5 to 7
Challenge Level Yellow star

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?

Share Bears

Age 5 to 7
Challenge Level Yellow star

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Pairs of Numbers

Age 5 to 7
Challenge Level Yellow star

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?

All Change

Age 5 to 7
Challenge Level Yellow star

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

Matching Numbers

Age 5 to 7
Challenge Level Yellow star

Can you find different ways of showing the same number? Try this matching game and see!

Robot Monsters

Age 5 to 7
Challenge Level Yellow star

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Number Balance

Age 5 to 7
Challenge Level Yellow star

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

Two Spinners

Age 5 to 7
Challenge Level Yellow star

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

Biscuit Decorations

Age 5 to 7
Challenge Level Yellow star

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Writing Digits

Age 5 to 7
Challenge Level Yellow star

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

Next Domino

Age 5 to 7
Challenge Level Yellow star

Which comes next in each pattern of dominoes?

Shut the Box

Age 5 to 7
Challenge Level Yellow star

An old game but lots of arithmetic!

One Big Triangle

Age 5 to 7
Challenge Level Yellow star

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

Sort Them Out (1)

Age 5 to 7
Challenge Level Yellow star

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

What Could It Be?

Age 5 to 7
Challenge Level Yellow star

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

Domino Patterns

Age 5 to 7
Challenge Level Yellow star

What patterns can you make with a set of dominoes?

Pairs of Legs

Age 5 to 7
Challenge Level Yellow starYellow star

How many legs do each of these creatures have? How many pairs is that?

Find the Difference

Age 5 to 7
Challenge Level Yellow starYellow star

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

Noah

Age 5 to 7
Challenge Level Yellow starYellow star

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

Making Longer, Making Shorter

Age 5 to 7
Challenge Level Yellow starYellow star

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

Birthday Cakes

Age 5 to 7
Challenge Level Yellow starYellow star

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?

Number Round Up

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

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.

Dotty Six

Age 5 to 11
Challenge Level Yellow star

Dotty Six is a simple dice game that you can adapt in many ways.

How Would We Count?

Age 5 to 11
Challenge Level Yellow star

An activity centred around observations of dots and how we visualise number arrangement patterns.

Geometry Stage 1

Building with Solid Shapes

Age 5 to 7
Challenge Level Yellow star

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Chain of Changes

Age 5 to 7
Challenge Level Yellow starYellow star

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Measure Stage 1

Making Caterpillars

Age 3 to 5

By making 'caterpillars' in this activity, children will have an opportunity to practise using language of length and width, as well as using non-standard measures to compare lengths.

Packing

Age 3 to 5

This activity involves sorting toys into categories by using comparing and classifying skills.

Presents

Age 3 to 5

Comparing the wrapped presents in this activity will give children the chance to explore and discuss weight, including the idea that large objects aren't necessarily the heaviest.

Timing

Age 3 to 5

In this task, children will practise using a variety of timers to work out how many items they can put into a jar before the time finishes.

Tubes and Tunnels

Age 3 to 5

When investigating these tubes, children will have the opportunity to practise using everyday language to talk about length, size and position.

Sort the Street

Age 5 to 7
Challenge Level Yellow star

Sort the houses in my street into different groups. Can you do it in any other ways?

Bottles (1)

Age 5 to 7
Challenge Level Yellow star

For this activity which explores capacity, you will need to collect some bottles and jars.

Sizing Them Up

Age 5 to 7
Challenge Level Yellow star

Can you put these shapes in order of size? Start with the smallest.

The Animals' Sports Day

Age 5 to 7
Challenge Level Yellow star

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

Can You Do it Too?

Age 5 to 7
Challenge Level Yellow star

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

Are You Thirsty?

Age 5 to 7
Challenge Level Yellow star

Can you lay out the pictures of the drinks in the way described by the clue cards?

Coins (1)

Age 5 to 7
Challenge Level Yellow star

This activity will help you get used to the coins you have in your country.

Compare the Cups

Age 5 to 7
Challenge Level Yellow star

You'll need a collection of cups for this activity.

Snap

Age 5 to 7
Challenge Level Yellow star

Try this version of Snap with a friend - do you know the order of the days of the week?

Hand Span

Age 5 to 7
Challenge Level Yellow star

Use your hand span to measure the distance around a tree trunk. If you ask a friend to try the same thing, how do the answers compare?

Times of Day

Age 5 to 7
Challenge Level Yellow star

These pictures show some different activities that you may get up to during a day. What order would you do them in?

Stop the Clock

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

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

Buying a Balloon

Age 7 to 11
Challenge Level Yellow star

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

Handling Data Stage 1

Ladybird Count

Age 5 to 7
Challenge Level Yellow star

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Sorting Logic Blocks

Age 5 to 11
Challenge Level Yellow star

This activity focuses on similarities and differences between shapes.

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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