Visualising and representing

  • Box plot match
    problem
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    Box Plot Match

    Age
    14 to 16
    Challenge level
    1 out of 3

    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
    1 out of 3

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

  • Picture Story
    problem
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    Picture Story

    Age
    14 to 16
    Challenge level
    2 out of 3

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

  • Three cubes
    problem
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    Three Cubes

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the dimensions of the three cubes?

  • Small pepper seedlings in turquoise pots.
    problem
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    Triangle Midpoints

    Age
    14 to 16
    Challenge level
    2 out of 3

    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
    2 out of 3

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

  • One and three
    problem
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    One and Three

    Age
    14 to 16
    Challenge level
    2 out of 3

    Two motorboats travelling up and down a lake at constant speeds leave opposite ends A and B at the same instant, passing each other, for the first time 600 metres from A, and on their return, 400 metres from B. How long is the lake?

  • Plus Minus
    problem
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    Plus Minus

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you explain the surprising results Jo found when she calculated the difference between square numbers?

  • Sitting Pretty
    problem
    Favourite

    Sitting Pretty

    Age
    14 to 16
    Challenge level
    2 out of 3

    A circle of radius r touches two sides of a right angled triangle, sides x and y, and has its centre on the hypotenuse. Can you prove the formula linking x, y and r?

  • In a box
    problem
    Favourite

    In a Box

    Age
    14 to 16
    Challenge level
    2 out of 3

    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?