Cubes and cuboids

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Cubes Cut Into Four Pieces

Age

5 to 7

Challenge level

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?
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The Third Dimension

Age

5 to 11

Challenge level

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
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Always, Sometimes or Never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
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Cubes

Age

7 to 11

Challenge level

How many faces can you see when you arrange these three cubes in different ways?
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A Puzzling Cube

Age

7 to 11

Challenge level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
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Making Cuboids

Age

7 to 11

Challenge level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
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Next Size Up

Age

7 to 11

Challenge level

The challenge for you is to make a string of six (or more!) graded cubes.
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Castles in the Middle

Age

7 to 14

Challenge level

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
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Inky Cube

Age

7 to 14

Challenge level

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
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Which Solid?

Age

7 to 16

Challenge level

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.