Being collaborative

  • Dice in a Corner
    problem

    Dice in a corner

    Age
    7 to 11
    Challenge level
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    How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

  • Fence it
    problem

    Fence it

    Age
    11 to 14
    Challenge level
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    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Hidden Squares
    problem

    Hidden squares

    Age
    11 to 14
    Challenge level
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    Can you find the squares hidden on these coordinate grids?

  • Kite in a Square
    problem

    Kite in a square

    Age
    14 to 18
    Challenge level
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    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Constructing Triangles
    problem

    Constructing triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Ordering cards
    problem

    Ordering cards

    Age
    5 to 11
    Challenge level
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    This problem is designed to help children to learn, and to use, the two and three times tables.

  • Can you do \it too?
    problem

    Can you do it too?

    Age
    5 to 7
    Challenge level
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    Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

  • Olympic Measures
    problem

    Olympic measures

    Age
    11 to 14
    Challenge level
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    These Olympic quantities have been jumbled up! Can you put them back together again?

  • The Fastest Cyclist
    problem

    The fastest cyclist

    Age
    14 to 16
    Challenge level
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    Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

  • Nutrition and Cycling
    problem

    Nutrition and cycling

    Age
    14 to 16
    Challenge level
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    Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?