Combinations

There are 153 NRICH Mathematical resources connected to Combinations
Noah
problem
Favourite

Noah

Age
5 to 7
Challenge level
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Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Five Coins
problem
Favourite

Five coins

Age
5 to 11
Challenge level
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Ben has five coins in his pocket. How much money might he have?
The Puzzling Sweet Shop
problem
Favourite

The puzzling sweet shop

Age
5 to 11
Challenge level
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There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Teddy Town
problem

Teddy town - part five

Age
5 to 11
Challenge level
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There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy town - part four

Age
5 to 11
Challenge level
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There are twenty five teddies in Teddy Town - five red, five blue, five yellow, five green and five purple. There are also twenty five houses, five of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy town - part three

Age
5 to 11
Challenge level
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There are sixteen teddies in Teddy Town - four red, four blue, four yellow and four green. There are also sixteen houses, four of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy town - part two

Age
5 to 11
Challenge level
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There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Five More Coins
problem

Five more coins

Age
7 to 11
Challenge level
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Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
Unequal Exam
problem

Unequal exam

Age
11 to 14
Challenge level
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120 students sit an exam with 100 marks available. What is the smallest number of pairs that are awarded the same mark?
Nine or Ten?
problem

Nine or ten?

Age
11 to 14
Challenge level
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Is a score of 9 more likely than a score of 10 when you roll three dice?