Fractions

There are 131 NRICH Mathematical resources connected to Fractions
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?

Rod Fractions
problem

Rod fractions

Age
7 to 14
Challenge level
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Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?
Ratio Sudoku 3
problem

Ratio sudoku 3

Age
11 to 16
Challenge level
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A Sudoku with clues as ratios or fractions.
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.
Can it be?
problem

Can it be?

Age
16 to 18
Challenge level
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When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?
Pride of Place
problem

Pride of place

Age
11 to 14
Challenge level
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Two fractions have been placed on a number line. Where should another fraction be placed?
Plutarch's Boxes
problem

Plutarch's boxes

Age
11 to 14
Challenge level
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According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?
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?
Fractions Made Faster
problem

Fractions made faster

Age
7 to 11
Challenge level
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Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!