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### Number and algebra

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# How Many Pieces?

You can see how many loops of string were used to make these string patterns because the strings are different colours.

In the next pictures can you work out how many loops were used?

How many pieces of string do you need to make this string pattern?

Can you explain how you decided?

Here is a pdf of the string images which you could print off if you find it easier to work on paper.

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Age 5 to 7

Challenge Level

You can see how many loops of string were used to make these string patterns because the strings are different colours.

In the next pictures can you work out how many loops were used?

How many pieces of string do you need to make this string pattern?

Can you explain how you decided?

Here is a pdf of the string images which you could print off if you find it easier to work on paper.

If you enjoyed this problem, you might like to have a go at How Many Pieces This Time?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?