Exploring and noticing

  • Price Match
    problem

    Price match

    Age
    7 to 11
    Challenge level
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    Can you find pairs of differently sized windows that cost the same?

  • Count Me In
    problem

    Count me in

    Age
    7 to 11
    Challenge level
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    How do you know whether you will reach these numbers when you count in steps of six from zero?

  • Almost One
    problem

    Almost one

    Age
    11 to 14
    Challenge level
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    Choose some fractions and add them together. Can you get close to 1?

  • Diagonal in a Spiral
    problem

    Diagonal in a spiral

    Age
    7 to 11
    Challenge level
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    Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
  • Paper Patchwork 2
    problem

    Paper patchwork 2

    Age
    5 to 7
    Challenge level
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    Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

  • Paper Patchwork 1
    problem

    Paper patchwork 1

    Age
    5 to 7
    Challenge level
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    Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

  • 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...

  • Can you traverse it?
    problem

    Can you traverse it?

    Age
    14 to 18
    Challenge level
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    How can you decide if a graph is traversable?

  • Who's who?
    problem

    Who's who?

    Age
    11 to 16
    Challenge level
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    Can you solve the clues to find out who's who on the friendship graph?