Being curious

  • problem

    Caterpillars

    Age
    5 to 7
    Challenge level
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    These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

  • Secret Number
    problem

    Secret number

    Age
    5 to 7
    Challenge level
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    Annie and Ben are playing a game with a calculator. What was Annie's secret number?

  • Matching Triangles
    problem

    Matching triangles

    Age
    5 to 7
    Challenge level
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    Can you sort these triangles into three different families and explain how you did it?

  • A Chance to Win?
    problem

    A chance to win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • What's in the Box?
    problem

    What's in the box?

    Age
    7 to 11
    Challenge level
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    This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

  • Street Sequences
    problem

    Street sequences

    Age
    5 to 11
    Challenge level
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    Investigate what happens when you add house numbers along a street in different ways.

  • Multiples Grid
    problem

    Multiples grid

    Age
    7 to 11
    Challenge level
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    What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

  • Sort the Street
    problem

    Sort the street

    Age
    5 to 7
    Challenge level
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    Sort the houses in my street into different groups. Can you do it in any other ways?

  • Fraction Fascination
    problem

    Fraction fascination

    Age
    7 to 11
    Challenge level
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    This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

  • Trapezium Four
    problem

    Trapezium four

    Age
    14 to 16
    Challenge level
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    The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?