Exploring and noticing

  • What's it worth?
    problem
    Favourite

    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Square It
    problem
    Favourite

    Square it

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Arithmagons
    problem
    Favourite

    Arithmagons

    Age
    11 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges?

  • problem
    Favourite

    Cyclic quadrilaterals

    Age
    11 to 16
    Challenge level
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    Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

  • Charlie's delightful machine
    problem
    Favourite

    Charlie's delightful machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • project

    Investigating epidemics

    11 to 16
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    Simple models which help us to investigate how epidemics grow and die out.

  • Multiple Surprises
    problem
    Favourite

    Multiple surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Countdown fractions
    problem
    Favourite

    Countdown fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.

  • Parallelogram It
    problem
    Favourite

    Parallelogram it

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • Do Rare Events Happen?
    problem

    Do rare events happen?

    Age
    11 to 16
    Challenge level
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    I'd be very surprised if I had three children all with the same birthday, but I read in the paper that it happened to one family...