Being collaborative

  • circles in quadrilaterals
    problem

    Circles in quadrilaterals

    Age
    14 to 16
    Challenge level
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    Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

  • Back fitter
    problem

    Back fitter

    Age
    14 to 18
    Challenge level
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    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

  • Reflecting Lines
    problem

    Reflecting lines

    Age
    11 to 14
    Challenge level
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    Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
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    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • Power mad!
    problem

    Power mad!

    Age
    11 to 14
    Challenge level
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    Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

  • problem

    Venn diagrams

    Age
    5 to 11
    Challenge level
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    How will you complete these interactive Venn diagrams?

  • Eight hidden squares
    problem

    Eight hidden squares

    Age
    7 to 14
    Challenge level
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    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Magic Vs
    problem

    Magic Vs

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • m, m and m
    problem

    M, M and M

    Age
    11 to 14
    Challenge level
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    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • Snap
    problem

    Snap

    Age
    5 to 7
    Challenge level
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    Try this version of Snap with a friend - do you know the order of the days of the week?