Explaining, convincing and proving

  • problem
    Favourite

    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?

  • Double Trouble
    problem
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    Double trouble

    Age
    14 to 16
    Challenge level
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    Simple additions can lead to intriguing results...

  • 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?

  • Nutrition and Cycling
    problem
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    Nutrition and cycling

    Age
    14 to 16
    Challenge level
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    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
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    Olympic triathlon

    Age
    14 to 16
    Challenge level
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    Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

  • Picturing the world
    problem
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    Picturing the world

    Age
    14 to 16
    Challenge level
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    How can we make sense of national and global statistics involving very large numbers?

  • Box plot match
    problem
    Favourite

    Box plot match

    Age
    14 to 16
    Challenge level
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    Match the cumulative frequency curves with their corresponding box plots.

  • Different Products
    problem

    Different products

    Age
    14 to 16
    Challenge level
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    Take four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
  • Isosceles Seven
    problem
    Favourite

    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?