Being curious

  • Triangle transformation
    problem

    Triangle transformation

    Age
    7 to 14
    Challenge level
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    Start with a triangle. Can you cut it up to make a rectangle?
  • 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?

  • Reversals
    problem

    Reversals

    Age
    11 to 14
    Challenge level
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    Where should you start, if you want to finish back where you started?

  • Beach Huts
    problem

    Beach huts

    Age
    11 to 14
    Challenge level
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    Can you figure out how sequences of beach huts are generated?

  • Unequal Averages
    problem

    Unequal averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

  • Wipeout
    problem

    Wipeout

    Age
    11 to 16
    Challenge level
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    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?

  • Estimating time
    problem

    Estimating time

    Age
    11 to 14
    Challenge level
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    How well can you estimate 10 seconds? Investigate with our timing tool.

  • Perimeter Possibilities
    problem

    Perimeter possibilities

    Age
    11 to 14
    Challenge level
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    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Beelines
    problem

    Beelines

    Age
    14 to 16
    Challenge level
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    Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?