Fractions

There are 131 NRICH Mathematical resources connected to Fractions
Ben's Game
problem
Favourite

Ben's game

Age
11 to 16
Challenge level
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Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Bryony's Triangle
problem
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Bryony's triangle

Age
7 to 11
Challenge level
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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?

Fractions in a Box
problem
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Fractions in a box

Age
7 to 11
Challenge level
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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.

Harmonic Triangle
problem
Favourite

Harmonic triangle

Age
14 to 16
Challenge level
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Can you see how to build a harmonic triangle? Can you work out the next two rows?
Fractions Rectangle
problem
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Fractions rectangle

Age
11 to 14
Challenge level
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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
Happy Halving
problem
Favourite

Happy halving

Age
5 to 7
Challenge level
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Can you split each of the shapes below in half so that the two parts are exactly the same?

Egyptian Fractions
problem
Favourite

Egyptian fractions

Age
11 to 14
Challenge level
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The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.

A Bowl of Fruit
problem
Favourite

A bowl of fruit

Age
5 to 7
Challenge level
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Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
Orange Drink
problem
Favourite

Orange drink

Age
7 to 11
Challenge level
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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?