Being resourceful

  • An Unusual Shape
    problem
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    An Unusual Shape

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you maximise the area available to a grazing goat?

  • Coordinate Patterns
    problem
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    Coordinate Patterns

    Age
    11 to 14
    Challenge level
    2 out of 3

    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

  • Peaches today, Peaches tomorrow...
    problem
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    Peaches Today, Peaches Tomorrow...

    Age
    11 to 14
    Challenge level
    2 out of 3

    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Sending a Parcel
    problem
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    Sending a Parcel

    Age
    11 to 14
    Challenge level
    2 out of 3

    What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

  • Square coordinates
    problem
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    Square Coordinates

    Age
    11 to 14
    Challenge level
    2 out of 3

    A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

  • Stars
    problem
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    Stars

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out what step size to take to ensure you visit all the dots on the circle?

  • problem
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    Right Angles

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

  • Shapely pairs
    problem
    Favourite

    Shapely Pairs

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Two's company
    problem
    Favourite

    Two's Company

    Age
    11 to 14
    Challenge level
    2 out of 3

    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?