Combinations

There are 149 NRICH Mathematical resources connected to Combinations
Six is the Sum
problem

Six is the Sum

Age
7 to 11
Challenge level
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What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Fair Exchange
problem

Fair Exchange

Age
5 to 7
Challenge level
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In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
The Puzzling Sweet Shop
problem

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?
Hubble, bubble
problem

Hubble, bubble

Age
7 to 11
Challenge level
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Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
Delia's routes
problem

Delia's routes

Age
7 to 11
Challenge level
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A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
On Target
problem

On Target

Age
7 to 11
Challenge level
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You have 5 darts and your target score is 44. How many different ways could you score 44?
The School Trip
problem

The School Trip

Age
5 to 7
Challenge level
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Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
Super Value Shapes
problem

Super Value Shapes

Age
7 to 11
Challenge level
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If each of these three shapes has a value, can you find the totals of the combinations? Perhaps you can use the shapes to make the given totals?
Number Round Up
problem

Number Round Up

Age
5 to 7
Challenge level
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Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Buying a Balloon
problem

Buying a Balloon

Age
7 to 11
Challenge level
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Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?