Being curious

  • Shaping It
    problem

    Shaping it

    Age
    5 to 11
    Challenge level
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    These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
  • Archimedes Numerical Roots
    problem

    Archimedes numerical roots

    Age
    16 to 18
    Challenge level
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    How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

  • The add and take-away path
    problem

    The add and take-away path

    Age
    5 to 7
    Challenge level
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    Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

  • Mathsland National Lottery
    problem

    Mathsland national lottery

    Age
    14 to 16
    Challenge level
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    Can you work out the probability of winning the Mathsland National Lottery?

  • Sitting round the party tables
    problem

    Sitting round the party tables

    Age
    5 to 11
    Challenge level
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    Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

  • Same Number!
    problem

    Same number!

    Age
    14 to 16
    Challenge level
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    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Last one standing
    problem

    Last one standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Curious number
    problem

    Curious number

    Age
    7 to 11
    Challenge level
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    Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

  • Your number was...
    problem

    Your number was...

    Age
    11 to 14
    Challenge level
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    Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

  • Sorting Logic Blocks
    problem

    Sorting logic blocks

    Age
    5 to 11
    Challenge level
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    This activity focuses on similarities and differences between shapes.