Working systematically

  • No Square Sums
    problem

    No Square Sums

    Age
    14 to 16
    Challenge level
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    How many numbers do you need to remove to avoid making a perfect square?
  • Alberta's Age
    problem

    Alberta's Age

    Age
    14 to 16
    Challenge level
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    Alberta won't reveal her age. Can you work it out from these clues?
  • Double with 1 to 9
    problem

    Double With 1 to 9

    Age
    11 to 14
    Challenge level
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    Can you find a number and its double using the digits $1$ to $9$ only once each?
  • Rolling Along the Trail
    problem

    Rolling Along the Trail

    Age
    11 to 14
    Challenge level
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    What could be the scores from five throws of this dice?
  • The Square of My Age
    problem

    The Square of My Age

    Age
    11 to 14
    Challenge level
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    Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?
  • 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.
  • Relative Time
    problem

    Relative Time

    Age
    14 to 16
    Challenge level
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    Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
  • Staircase Sum
    problem

    Staircase Sum

    Age
    11 to 14
    Challenge level
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    The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?
  • Alphabetical Angle
    problem

    Alphabetical Angle

    Age
    14 to 16
    Challenge level
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    If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?
  • Latin Multiplication
    problem

    Latin Multiplication

    Age
    11 to 14
    Challenge level
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    Can you choose one number from each row and column in this grid to form the largest possibe product?