Working systematically

  • A blue patchwork quilt draped over a white sofa.
    problem

    Alison's quilt

    Age
    11 to 14
    Challenge level
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    Nine squares are fitted together to form a rectangle. Can you find its dimensions?

  • Shape Products
    problem

    Shape products

    Age
    11 to 14
    Challenge level
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    These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • problem

    This Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
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    Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Finding factors
    problem

    Finding factors

    Age
    14 to 16
    Challenge level
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    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • Placeholder: several colourful numbers
    problem

    Bent out of shape

    Age
    14 to 18
    Challenge level
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    An introduction to bond angle geometry.
  • 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?

  • 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?

  • Beads and bags
    problem

    Beads and bags

    Age
    5 to 11
    Challenge level
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    How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?