Cubes and cuboids

  • Cubes
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    Cubes

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Next size up
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    Next Size Up

    Age
    7 to 11
    Challenge level
    2 out of 3

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

  • Castles in the middle
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    Castles in the Middle

    Age
    7 to 14
    Challenge level
    2 out of 3

    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
    3 out of 3

    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?

  • Which solid?
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    Which Solid?

    Age
    7 to 16
    Challenge level
    1 out of 3

    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.

  • Sending a Parcel
    problem
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    Sending a Parcel

    Age
    11 to 14
    Challenge level
    2 out of 3

    What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

  • Changing areas, changing volumes
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    Changing Areas, Changing Volumes

    Age
    11 to 14
    Challenge level
    2 out of 3

    How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

  • Cuboids
    problem
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    Cuboids

    Age
    11 to 14
    Challenge level
    3 out of 3

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

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    Marbles in a Box

    Age
    11 to 16
    Challenge level
    2 out of 3

    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Nine Colours
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    Nine Colours

    Age
    11 to 16
    Challenge level
    3 out of 3

    Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?