Being resourceful

  • Arithmagons
    problem
    Favourite

    Arithmagons

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Can you find the values at the vertices when you know the values on the edges?

  • Semi-regular Tessellations
    problem
    Favourite

    Semi-Regular Tessellations

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • Charlie's delightful machine
    problem
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Statistical shorts
    problem
    Favourite

    Statistical Shorts

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Can you decide whether these short statistical statements are always, sometimes or never true?

  • Vector Racer
    game
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    Vector Racer

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    The classic vector racing game.

  • Multiple Surprises
    problem
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Sequences of multiples keep cropping up...

  • Countdown fractions
    problem
    Favourite

    Countdown Fractions

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Here is a chance to play a fractions version of the classic Countdown Game.

  • Same length
    problem
    Favourite

    Same Length

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

  • Funny Factorisation
    problem
    Favourite

    Funny Factorisation

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?