Year 10 Being resourceful

  • problem
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    Track Design

    Age
    14 to 16
    Challenge level
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    Where should runners start the 200m race so that they have all run the same distance by the finish?

  • 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?

  • Steel Cables
    problem
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    Steel Cables

    Age
    14 to 16
    Challenge level
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    Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

  • 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.

  • Isosceles Seven
    problem
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    Isosceles Seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • Standard Index Form Matching
    problem
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    Standard Index Form Matching

    Age
    14 to 16
    Challenge level
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    Can you match these calculations in Standard Index Form with their answers?

  • 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?