Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

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
  • 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

Fractions KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

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?

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.

Fractional Triangles

Age 7 to 11
Challenge Level Yellow star

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Bryony's Triangle

Age 7 to 11
Challenge Level Yellow star

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

A4 Fraction Subtraction

Age 7 to 11
Challenge Level Yellow star

This task offers opportunities to subtract fractions using A4 paper.

Matching Fractions

Age 7 to 11
Challenge Level Yellow star

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

Round the Dice Decimals 2

Age 7 to 11
Challenge Level Yellow star

What happens when you round these numbers to the nearest whole number?

Fractional Wall

Age 7 to 11
Challenge Level Yellow star

Using the picture of the fraction wall, can you find equivalent fractions?

Would You Rather?

Age 7 to 11
Challenge Level Yellow star

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Round the Dice Decimals 1

Age 7 to 11
Challenge Level Yellow star

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Tumbling Down

Age 7 to 11
Challenge Level Yellow star

Watch this animation. What do you see? Can you explain why this happens?

Linked Chains

Age 7 to 11
Challenge Level Yellow star

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

A4 Fraction Addition

Age 7 to 11
Challenge Level Yellow starYellow star

Try adding fractions using A4 paper.

Forgot the Numbers

Age 7 to 11
Challenge Level Yellow starYellow star

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Andy's Marbles

Age 7 to 11
Challenge Level Yellow starYellow star

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

More Fraction Bars

Age 7 to 11
Challenge Level Yellow starYellow star

What fraction of the black bar are the other bars? Have a go at this challenging task!

Fractions in a Box

Age 7 to 11
Challenge Level Yellow starYellow star

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Extending Fraction Bars

Age 7 to 11
Challenge Level Yellow starYellow star

Can you compare these bars with each other and express their lengths as fractions of the black bar?

Route Product

Age 7 to 11
Challenge Level Yellow starYellow star

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Fraction Lengths

Age 7 to 11
Challenge Level Yellow starYellow star

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

Light Blue - Dark Blue

Age 7 to 11
Challenge Level Yellow starYellow star

Investigate the successive areas of light blue in these diagrams.

Matching Fractions, Decimals and Percentages

Age 7 to 14
Challenge Level Yellow star

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Doughnut Percents

Age 7 to 14
Challenge Level Yellow starYellow star

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Chocolate

Age 7 to 14
Challenge Level Yellow starYellow star

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?



 
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.
  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

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.

University of Cambridge logo NRICH logo