Being curious

  • 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...
  • 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.

  • 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?

  • Domino Sorting
    problem

    Domino sorting

    Age
    5 to 7
    Challenge level
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    Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

  • Brush Loads
    problem

    Brush loads

    Age
    7 to 11
    Challenge level
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    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Litov's Mean Value Theorem
    problem

    Litov's mean value theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
  • Semi-regular Tessellations
    problem

    Semi-regular tessellations

    Age
    11 to 16
    Challenge level
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    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • Two Clocks
    problem

    Two clocks

    Age
    7 to 11
    Challenge level
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    These clocks have only one hand, but can you work out what time they are showing from the information?