Being curious

  • Hundred Square Poster
    problem
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    Hundred Square

    Age
    5 to 11
    Challenge level
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    A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

  • problem
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    How Odd

    Age
    5 to 11
    Challenge level
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    This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

  • Three Squares
    problem
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    Three Squares

    Age
    5 to 11
    Challenge level
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    What is the greatest number of squares you can make by overlapping three squares?

  • Shadow Play
    problem
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    Shadow Play

    Age
    5 to 11
    Challenge level
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    Here are shadows of some 3D shapes. What shapes could have made them?

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Statement Snap

    Age
    7 to 11
    Challenge level
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    You'll need to know your number properties to win a game of Statement Snap...

  • Tumbling Down
    problem
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    Tumbling Down

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you see? Can you explain why this happens?

  • Doplication
    problem
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    Doplication

    Age
    7 to 11
    Challenge level
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    We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

  • A section of a bracelet made of colourful beads.
    problem
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    Bracelets

    Age
    7 to 11
    Challenge level
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    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • Which Scripts?
    problem
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    Which Scripts?

    Age
    7 to 11
    Challenge level
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    There are six numbers written in five different scripts. Can you sort out which is which?

  • problem
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    How Many Times?

    Age
    7 to 11
    Challenge level
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    On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?