Being curious

  • Where to Land
    problem

    Where to land

    Age
    14 to 16
    Challenge level
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    Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

  • 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?

  • Partly Painted Cube
    problem

    Partly painted cube

    Age
    14 to 16
    Challenge level
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    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • 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?

  • 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?

  • Odds and Evens made fair
    problem

    Odds and evens made fair

    Age
    14 to 16
    Challenge level
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    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Multiplication arithmagons
    problem

    Multiplication arithmagons

    Age
    14 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

  • Hexy-Metry
    problem

    Hexy-metry

    Age
    14 to 16
    Challenge level
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    A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

  • Fit for photocopying
    problem

    Fit for photocopying

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

  • Data matching
    problem

    Data matching

    Age
    14 to 18
    Challenge level
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    Use your skill and judgement to match the sets of random data.