Fractions

There are 129 NRICH Mathematical resources connected to Fractions
Egyptian Fractions
problem

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.
Fractions in a Box
problem

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.
Dividing a Cake
problem

Dividing a Cake

Age
7 to 11
Challenge level
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Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
Fun Time
problem

Fun Time

Age
7 to 11
Challenge level
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On Saturday, Asha and Kishan's grandad took them to a Theme Park. Use the information to work out how long were they in the theme park.
In the Money
problem

In the Money

Age
7 to 11
Challenge level
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One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
Rectangle Tangle
problem

Rectangle Tangle

Age
7 to 11
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 shapes?
Red Balloons, Blue Balloons
problem

Red Balloons, Blue Balloons

Age
7 to 11
Challenge level
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Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
Pies
problem

Pies

Age
7 to 11
Challenge level
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Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
Pumpkin Pie Problem
problem

Pumpkin Pie Problem

Age
7 to 11
Challenge level
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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?
Mathematical Swimmer
problem

Mathematical Swimmer

Age
11 to 14
Challenge level
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Can you work out how many lengths I swim each day?