Being resourceful

  • Warmsnug Double Glazing
    problem
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    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Where is the dot?
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    Where Is the Dot?

    Age
    14 to 16
    Challenge level
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    A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?

  • Power Countdown
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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.

  • circles in quadrilaterals
    problem
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    Circles in Quadrilaterals

    Age
    14 to 16
    Challenge level
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    Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

  • Slick Summing
    problem
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    Slick Summing

    Age
    14 to 16
    Challenge level
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    Watch the video to see how Charlie works out the sum. Can you adapt his method?

  • 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?

  • Last one standing
    problem
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    Last One Standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Finding factors
    problem
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    Finding Factors

    Age
    14 to 16
    Challenge level
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    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • problem
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    Track Design

    Age
    14 to 16
    Challenge level
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    Where should runners start the 200m race so that they have all run the same distance by the finish?

  • problem
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    Who's the Winner?

    Age
    14 to 16
    Challenge level
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    When two closely matched teams play each other, what is the most likely result?