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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 3

For more resources see the primary curriculum mapping documents.

Number Stage 3

I Like ...

Age 5 to 7
Challenge Level Yellow star

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Our Numbers

Age 5 to 7
Challenge Level Yellow star

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Count the Crayons

Age 5 to 7
Challenge Level Yellow star

How could you estimate the number of pencils/pens in these pictures?

Buzzy Bee

Age 5 to 7
Challenge Level Yellow star

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

Jumping Squares

Age 5 to 7
Challenge Level Yellow starYellow star

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.

Domino Pick

Age 5 to 7
Challenge Level Yellow starYellow star

Are these domino games fair? Can you explain why or why not?

Lots of Lollies

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

The Amazing Splitting Plant

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

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?

Fraction Match

Age 5 to 11
Challenge Level Yellow star

A task which depends on members of the group noticing the needs of others and responding.

Fair Feast

Age 5 to 11
Challenge Level Yellow star

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Doing and Undoing

Age 5 to 11
Challenge Level Yellow star

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

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.

Beads and Bags

Age 5 to 11
Challenge Level Yellow star

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

Super Shapes

Age 7 to 11
ShortChallenge Level Yellow star

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

What Do You Need?

Age 7 to 11
Challenge Level Yellow star

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Fifteen Cards

Age 7 to 11
Challenge Level Yellow star

Can you use the information to find out which cards I have used?

Sweets in a Box

Age 7 to 11
Challenge Level Yellow star

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

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?

Highest and Lowest

Age 7 to 11
Challenge Level Yellow star

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Number Tracks

Age 7 to 11
Challenge Level Yellow star

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

Journeying in Numberland

Age 7 to 11
Challenge Level Yellow star

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

A Numbered Route

Age 7 to 11
Challenge Level Yellow starYellow star

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

Worms

Age 7 to 11
Challenge Level Yellow starYellow star

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Geometry Stage 3

Shapely Lines

Age 5 to 7
Challenge Level Yellow star

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

Mrs Trimmer's String

Age 5 to 7
Challenge Level Yellow starYellow star

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

Overlaps

Age 5 to 7
Challenge Level Yellow starYellow star

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

Sorting Logic Blocks

Age 5 to 11
Challenge Level Yellow star

This activity focuses on similarities and differences between shapes.

Rolling That Cube

Age 5 to 11
Challenge Level Yellow star

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

Describe the Drawers

Age 5 to 11
Challenge Level Yellow star

Can you come up with a system for describing where any of these drawers are?

The Third Dimension

Age 5 to 11
Challenge Level Yellow starYellow starYellow star

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

Building Blocks

Age 7 to 11
Challenge Level Yellow star

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

Tiles in a Public Building

Age 7 to 11
Challenge Level Yellow star

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

National Flags

Age 7 to 11
Challenge Level Yellow star

This problem explores the shapes and symmetries in some national flags.

Let Us Reflect

Age 7 to 11
Challenge Level Yellow star

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

A Puzzling Cube

Age 7 to 11
Challenge Level Yellow star

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Overlapping Again

Age 7 to 11
Challenge Level Yellow starYellow star

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

Egyptian Rope

Age 7 to 11
Challenge Level Yellow starYellow star

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

What Shape?

Age 7 to 14
Challenge Level Yellow star

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Measure Stage 3

Measure Our Heights

Age 5 to 7
Challenge Level Yellow star

How could you measure the height of your friend without too much difficulty?

Measure Our Weights

Age 5 to 7
Challenge Level Yellow star

This practical challenge focuses on what you would use to find out your weight.

Shaping It

Age 5 to 11
Challenge Level Yellow star

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

What Is the Time?

Age 5 to 11
Challenge Level Yellow star

Can you put these times on the clocks in order? You might like to arrange them in a circle.

Five Coins

Age 5 to 11
Challenge Level Yellow starYellow star

Ben has five coins in his pocket. How much money might he have?

Olympic Starters

Age 7 to 11
Challenge Level Yellow star

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

How Much?

Age 7 to 11
Challenge Level Yellow starYellow star

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Handling Data Stage 3

Venn Diagrams

Age 5 to 11
Challenge Level Yellow star

How will you complete these interactive Venn diagrams?

Class 5's Names

Age 7 to 11
Challenge Level Yellow star

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

Our Sports

Age 7 to 11
Challenge Level Yellow star

This problem explores the range of events in a sports day and which ones are the most popular and attract the most entries.

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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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