Being resilient

  • Snooker Frames
    problem

    Snooker frames

    Age
    16 to 18
    Challenge level
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    It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

  • Areas and Ratios
    problem

    Areas and ratios

    Age
    16 to 18
    Challenge level
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    Do you have enough information to work out the area of the shaded quadrilateral?

  • problem

    The puzzling sweet shop

    Age
    5 to 11
    Challenge level
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    There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

  • Chain of Changes
    problem

    Chain of changes

    Age
    5 to 7
    Challenge level
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    In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

  • One Big Triangle
    problem

    One big triangle

    Age
    5 to 7
    Challenge level
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    Make one big triangle so the numbers that touch on the small triangles add to 10.

  • Buying a Balloon
    problem

    Buying a balloon

    Age
    7 to 11
    Challenge level
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    Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

  • A City of Towers
    problem

    A city of towers

    Age
    5 to 7
    Challenge level
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    In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

  • 4 Dom
    problem

    4 dom

    Age
    5 to 11
    Challenge level
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    Use these four dominoes to make a square that has the same number of dots on each side.

  • 2, 4, 6, 8
    problem

    2, 4, 6, 8

    Age
    5 to 7
    Challenge level
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    Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

  • Mixed-up Socks
    problem

    Mixed-up socks

    Age
    5 to 7
    Challenge level
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    Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?