Being resourceful

  • Substitution Cipher
    problem
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    Substitution Cipher

    Age
    11 to 14
    Challenge level
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    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • m, m and m
    problem
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    M, M and M

    Age
    11 to 14
    Challenge level
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    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • How much can we spend?
    problem
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    How Much Can We Spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • Shifting Times Tables
    problem
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    Shifting Times Tables

    Age
    11 to 14
    Challenge level
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    Can you find a way to identify times tables after they have been shifted up or down?

  • Mixing Lemonade
    problem
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    Mixing Lemonade

    Age
    11 to 14
    Challenge level
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    Can you work out which drink has the stronger flavour?

  • problem
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    How Would You Score It?

    Age
    11 to 14
    Challenge level
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    Invent a scoring system for a 'guess the weight' competition.

  • A ring of Jacks, Queens and Kings on a green table.
    problem
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    Sociable Cards

    Age
    11 to 14
    Challenge level
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    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • What does random look like?
    problem
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    What Does Random Look Like?

    Age
    11 to 14
    Challenge level
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    Engage in a little mathematical detective work to see if you can spot the fakes.

  • Fractions Rectangle
    problem
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    Fractions Rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

  • Number Families
    problem
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    Number Families

    Age
    11 to 14
    Challenge level
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    How many different number families can you find?