Fractions

There are 129 NRICH Mathematical resources connected to Fractions
What a Joke
problem

What a Joke

Age
14 to 16
Challenge level
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Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?
Circuit training
problem

Circuit training

Age
14 to 16
Challenge level
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Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?
Andy's Marbles
problem

Andy's Marbles

Age
7 to 11
Challenge level
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Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
Orange Drink
problem

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?
Canny Fraction
problem

Canny Fraction

Age
14 to 16
Challenge level
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What fraction of the volume of this can is filled with lemonade?
Water lilies
problem

Water lilies

Age
11 to 14
Challenge level
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There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?
Ben's Game
problem

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?
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?
Fair Feast
problem

Fair Feast

Age
5 to 11
Challenge level
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Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Peaches today, Peaches tomorrow...
problem

Peaches today, Peaches tomorrow...

Age
11 to 14
Challenge level
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A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?