Combinations

There are 149 NRICH Mathematical resources connected to Combinations
Homes
problem

Homes

Age
5 to 7
Challenge level
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Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
Plants
problem

Plants

Age
5 to 14
Challenge level
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Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Tiles on a Patio
problem

Tiles on a Patio

Age
7 to 11
Challenge level
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How many ways can you find of tiling the square patio, using square tiles of different sizes?
Tea Cups
problem

Tea Cups

Age
7 to 14
Challenge level
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Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
Cereal Packets
problem

Cereal Packets

Age
7 to 11
Challenge level
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How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Multilink Cubes
problem

Multilink Cubes

Age
7 to 11
Challenge level
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If you had 36 cubes, what different cuboids could you make?
The Secret World of Codes and Code Breaking
article

The Secret World of Codes and Code Breaking

When you think of spies and secret agents, you probably wouldn’t think of mathematics. Some of the most famous code breakers in history have been mathematicians.