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For younger learners

  • Early Years Foundation Stage

Fractions, Decimals, Percentages, Ratio and Proportion

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

Fractional Wall

Age 7 to 11
Challenge Level Yellow star

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

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.

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?

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?

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?

Greater Than or Less Than?

Age 7 to 11
Challenge Level Yellow star

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

Tumbling Down

Age 7 to 11
Challenge Level Yellow star

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

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?

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.

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.

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?

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.

Spiralling Decimals

Age 7 to 14
Challenge Level Yellow starYellow star

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

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?

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?

Pumpkin Pie Problem

Age 7 to 11
Challenge Level Yellow starYellow star

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

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.

Orange Drink

Age 7 to 11
Challenge Level Yellow starYellow star

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

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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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