Being resilient

  • Nine Colours
    problem
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    Nine Colours

    Age
    11 to 16
    Challenge level
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    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?

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    Shopping Basket

    Age
    11 to 16
    Challenge level
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    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • crossing the bridge
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    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Spotting the loophole
    problem
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    Spotting the Loophole

    Age
    14 to 16
    Challenge level
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    A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?

  • Power Countdown
    problem
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    Power Countdown

    Age
    14 to 16
    Challenge level
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    In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

  • A little light thinking
    problem
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    A Little Light Thinking

    Age
    14 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

  • Factorising with Multilink
    problem
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    Factorising With Multilink

    Age
    14 to 16
    Challenge level
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    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

  • Standard Index Form Matching
    problem
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    Standard Index Form Matching

    Age
    14 to 16
    Challenge level
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    Can you match these calculations in Standard Index Form with their answers?

  • 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?

  • Two Ladders
    problem
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    Two Ladders

    Age
    14 to 16
    Challenge level
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    Two ladders are propped up against facing walls. At what height do the ladders cross?