Visualising and representing

  • problem

    St Ives

    Age
    7 to 11
    Challenge level
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    How many people were going to St Ives?

  • What numbers can we make now?
    problem
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    What numbers can we make now?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

  • Isosceles Seven
    problem
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    Isosceles seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • To swim or to run?
    problem

    To swim or to run?

    Age
    16 to 18
    Challenge level
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    The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

  • Pythagoras Proofs
    problem
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    Pythagoras proofs

    Age
    11 to 16
    Challenge level
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    Can you make sense of these three proofs of Pythagoras' Theorem?

  • Three neighbours
    problem
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    Three neighbours

    Age
    7 to 14
    Challenge level
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    Take three consecutive numbers and add them together. What do you notice?

  • Euler meets Schlegel
    problem

    Euler meets Schlegel

    Age
    16 to 18
    Challenge level
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    Discover how networks can be used to prove Euler's Polyhedron formula.

  • Always Perfect
    problem
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    Always perfect

    Age
    14 to 18
    Challenge level
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    Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

  • Quadratic Matching
    problem

    Quadratic matching

    Age
    14 to 16
    Challenge level
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    Can you match each graph to one of the statements?