Being resourceful

  • Last one standing
    problem
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    Last One Standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Finding factors
    problem
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    Finding Factors

    Age
    14 to 16
    Challenge level
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    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • problem
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    Who's the Winner?

    Age
    14 to 16
    Challenge level
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    When two closely matched teams play each other, what is the most likely result?

  • Olympic Triathlon
    problem
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    Olympic Triathlon

    Age
    14 to 16
    Challenge level
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    Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

  • Picturing the world
    problem
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    Picturing the World

    Age
    14 to 16
    Challenge level
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    How can we make sense of national and global statistics involving very large numbers?

  • Box plot match
    problem
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    Box Plot Match

    Age
    14 to 16
    Challenge level
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    Match the cumulative frequency curves with their corresponding box plots.

  • Three cubes
    problem
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    Three Cubes

    Age
    14 to 16
    Challenge level
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    Can you work out the dimensions of the three cubes?

  • Expenses
    problem
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    Expenses

    Age
    14 to 16
    Challenge level
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    What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?

  • Fair Shares?
    problem
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    Fair Shares?

    Age
    14 to 16
    Challenge level
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    A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?

  • What's Possible?
    problem
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    What's Possible?

    Age
    14 to 16
    Challenge level
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    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?