Decimals

  • Tiny Nines
    problem
    Favourite

    Tiny Nines

    Age
    14 to 16
    Challenge level
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    What do you notice about these families of recurring decimals?

  • Repetitiously
    problem
    Favourite

    Repetitiously

    Age
    14 to 16
    Challenge level
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    Can you express every recurring decimal as a fraction?

  • Decimal Time
    problem

    Decimal Time

    Age
    11 to 14
    Challenge level
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    Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?
  • Recurring Mean
    problem

    Recurring Mean

    Age
    14 to 16
    Challenge level
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    What is the mean of 1.2 recurring and 2.1 recurring?
  • Reductant ratios
    problem

    Reductant Ratios

    Age
    16 to 18
    Challenge level
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    What does the empirical formula of this mixture of iron oxides tell you about its consituents?
  • Magic Matrix
    problem

    Magic Matrix

    Age
    7 to 11
    Challenge level
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    Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
  • Toad in the Hole
    problem

    Toad in the Hole

    Age
    11 to 14
    Challenge level
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    Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
  • Shopping basket of various food items.
    problem

    A Long Time at the Till

    Age
    14 to 18
    Challenge level
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    Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?