Being collaborative

  • Placeholder: several colourful numbers
    problem

    Triangles in the middle

    Age
    11 to 18
    Challenge level
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    This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
  • Chances are
    problem

    Chances are

    Age
    14 to 16
    Challenge level
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    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • The Better Choice
    problem

    The better choice

    Age
    14 to 16
    Challenge level
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    Here are two games you can play. Which offers the better chance of winning?

  • circles in quadrilaterals
    problem

    Circles in quadrilaterals

    Age
    14 to 16
    Challenge level
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    Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

  • problem

    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?

  • Generating Triples
    problem

    Generating triples

    Age
    14 to 16
    Challenge level
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    Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

  • Steel Cables
    problem

    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?

  • Factorising with Multilink
    problem

    Factorising with multilink

    Age
    14 to 16
    Challenge level
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    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

  • Nutrition and Cycling
    problem

    Nutrition and cycling

    Age
    14 to 16
    Challenge level
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    Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

  • Picturing the world
    problem

    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?