Fractions

There are 131 NRICH Mathematical resources connected to Fractions
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!
Percentage Swap
problem

Percentage swap

Age
14 to 16
Challenge level
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What is 50% of 2007 plus 2007% of 50?
Fractions of 1000
problem

Fractions of 1000

Age
14 to 16
Challenge level
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Find a simple way to compute this long fraction.
Fraction Lengths
problem

Fraction lengths

Age
7 to 11
Challenge level
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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?

Linked Chains
problem

Linked chains

Age
7 to 11
Challenge level
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Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

Paper Halving
problem

Paper halving

Age
5 to 11
Challenge level
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In how many ways can you halve a piece of A4 paper? How do you know they are halves?
What do you see here?
problem

What do you see here?

Age
7 to 11
Challenge level
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An activity for teachers to initiate that adds to learners' developing understanding of fractions.