Fractions

problem
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There's a Limit

Age

14 to 18

Challenge level

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
problem
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Equal Temperament

Age

14 to 16

Challenge level

The scale on a piano does something clever : the ratio (interval) between any adjacent points on the scale is equal. If you play any note, twelve points higher will be exactly an octave on.
problem
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A Bowl of Fruit

Age

5 to 7

Challenge level

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
problem
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Halving

Age

5 to 7

Challenge level

These pictures show squares split into halves. Can you find other ways?
problem
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Making Longer, Making Shorter

Age

5 to 7

Challenge level

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
problem
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Happy Halving

Age

5 to 7

Challenge level

Can you split each of the shapes below in half so that the two parts are exactly the same?
problem
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Fair Feast

Age

5 to 11

Challenge level

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
problem
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Fraction Match

Age

5 to 11

Challenge level

A task which depends on members of the group noticing the needs of others and responding.
interactivity
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Cuisenaire Environment

Age

5 to 16

Challenge level

An environment which simulates working with Cuisenaire rods.
problem
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Tumbling Down

Age

7 to 11

Challenge level

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