Explaining, convincing and proving

  • Nutrition and Cycling
    problem
    Favourite

    Nutrition and Cycling

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

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

  • Olympic Triathlon
    problem
    Favourite

    Olympic Triathlon

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

    Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

  • Picturing the world
    problem
    Favourite

    Picturing the World

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

    How can we make sense of national and global statistics involving very large numbers?

  • Box plot match
    problem
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    Box Plot Match

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

    Match the cumulative frequency curves with their corresponding box plots.

  • Isosceles Seven
    problem
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    Isosceles Seven

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

    Is it possible to find the angles in this rather special isosceles triangle?

  • Picture Story
    problem
    Favourite

    Picture Story

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

    Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

  • Three cubes
    problem
    Favourite

    Three Cubes

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

    Can you work out the dimensions of the three cubes?

  • Triangle midpoints
    problem
    Favourite

    Triangle Midpoints

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

    You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

  • Five green equilateral triangles, arranged to almost make a complete pentagon.
    problem
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    Doesn't Add Up

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

    In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

  • Two Ladders
    problem
    Favourite

    Two Ladders

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

    Two ladders are propped up against facing walls. At what height do the ladders cross?