Being curious

  • What was in the Box?
    problem

    What was in the box?

    Age
    5 to 7
    Challenge level
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    This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

  • Vector journeys
    problem

    Vector journeys

    Age
    14 to 18
    Challenge level
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    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • What numbers can we make?
    problem

    What numbers can we make?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

  • Bryony's Triangle
    problem

    Bryony's triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Fit for photocopying
    problem

    Fit for photocopying

    Age
    14 to 16
    Challenge level
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    Explore the relationships between different paper sizes.

  • missing multipliers
    problem

    Missing multipliers

    Age
    7 to 14
    Challenge level
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    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • Opposite vertices
    problem

    Opposite vertices

    Age
    11 to 14
    Challenge level
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    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • Dotty Six
    problem

    Dotty six

    Age
    5 to 11
    Challenge level
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    Dotty Six is a simple dice game that you can adapt in many ways.

  • Which solids can we make?
    problem

    Which solids can we make?

    Age
    11 to 14
    Challenge level
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    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • Count The Digits
    problem

    Count the digits

    Age
    5 to 11
    Challenge level
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    In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?