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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 2

For more resources see the primary curriculum mapping documents.

Number Stage 2

Clapping Times

Age 5 to 7
Challenge Level Yellow star

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

Snail One Hundred

Age 5 to 7
Challenge Level Yellow star

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

The Add and Take-away Path

Age 5 to 7
Challenge Level Yellow star

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?

Are You Well Balanced?

Age 5 to 7
Challenge Level Yellow star

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

Cube Bricks and Daisy Chains

Age 5 to 7
Challenge Level Yellow star

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Constant Counting

Age 5 to 7
Challenge Level Yellow star

You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?

Round the Two Dice

Age 5 to 7
Challenge Level Yellow star

This activity focuses on rounding to the nearest 10.

100 Square Jigsaw

Age 5 to 7
Challenge Level Yellow star

Can you complete this jigsaw of the 100 square?

Two-digit Targets

Age 5 to 7
Challenge Level Yellow star

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Skip Counting

Age 5 to 7
Challenge Level Yellow star

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

Butterfly Flowers

Age 5 to 7
Challenge Level Yellow star

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?

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?

Unit Differences

Age 5 to 7
Challenge Level Yellow star

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

Bugs in the Garden

Age 5 to 7
Challenge Level Yellow starYellow star

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

Secret Number

Age 5 to 7
Challenge Level Yellow starYellow star

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

Queue

Age 5 to 7
Challenge Level Yellow starYellow star

25 students are queuing in a straight line. How many are there between Julia and Jenny?

Making Shapes

Age 5 to 7
Challenge Level Yellow starYellow star

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

Wallpaper

Age 5 to 7
Challenge Level Yellow starYellow star

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do 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?

Magic Plant

Age 5 to 7
Challenge Level Yellow starYellow star

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

What Number?

Age 5 to 7
ShortChallenge Level Yellow starYellow star

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

Making Sticks

Age 5 to 7
Challenge Level Yellow starYellow star

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Halving

Age 5 to 7
Challenge Level Yellow starYellow star

These pictures show squares split into halves. Can you find other ways?

2, 4, 6, 8

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

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

Grouping Goodies

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Largest EvenLive

Age 5 to 11
Challenge Level Yellow star

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Different Sizes

Age 5 to 11
Challenge Level Yellow star

A simple visual exploration into halving and doubling.

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.

Strike it Out

Age 5 to 11
Challenge Level Yellow star

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

That Number Square

Age 5 to 11
Challenge Level Yellow star

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Let Us Divide!

Age 7 to 11
Challenge Level Yellow star

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Which Symbol?

Age 7 to 11
Challenge Level Yellow star

Choose a symbol to put into the number sentence.

Coded Hundred Square

Age 7 to 11
Challenge Level Yellow star

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Fingers and Hands

Age 7 to 11
Challenge Level Yellow star

How would you count the number of fingers in these pictures?

Geometry Stage 2

Turning

Age 5 to 7
Challenge Level Yellow star

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

Opening Patterns

Age 5 to 7
Challenge Level Yellow star

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

Data Shapes

Age 5 to 7
Challenge Level Yellow star

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Turning Man

Age 5 to 7
Challenge Level Yellow star

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Skeleton Shapes

Age 5 to 7
Challenge Level Yellow starYellow star

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Colouring Triangles

Age 5 to 7
Challenge Level Yellow starYellow star

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Shadow Play

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Here are shadows of some 3D shapes. What shapes could have made them?

Tangrams

Age 5 to 11
Challenge Level Yellow starYellow star

Can you make five differently sized squares from the interactive tangram pieces?

Measure Stage 2

Matching Time

Age 5 to 7
Challenge Level Yellow star

Try this matching game which will help you recognise different ways of saying the same time interval.

Sizing Them Up

Age 5 to 7
Challenge Level Yellow star

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

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.

Bottles (2)

Age 5 to 7
Challenge Level Yellow star

In this activity focusing on capacity, you will need a collection of different jars and bottles.

Who Can Be the Winner?

Age 5 to 7
Challenge Level Yellow starYellow star

Some children have been doing different tasks. Can you see who was the winner?

Little Man

Age 5 to 7
Challenge Level Yellow starYellow star

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Time Line

Age 5 to 7
Challenge Level Yellow starYellow star

Describe what Emma might be doing from these pictures of clocks which show important times in her day.

Making Sticks

Age 5 to 7
Challenge Level Yellow starYellow star

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Car Journey

Age 7 to 11
Challenge Level Yellow star

This practical activity involves measuring length/distance.

This Puzzling Sweet Shop

Age 7 to 11
Challenge Level Yellow starYellow star

There were chews for 2 cents, mini eggs for 3 cents, Chocko bars for 5 cents and lollypops for 7 cents in the sweet shop. What could each of the children buy with their money?

Handling Data Stage 2

Sticky Data

Age 5 to 7
Challenge Level Yellow star

You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.

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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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