Being collaborative

  • problem
    Favourite

    Track Design

    Age
    14 to 16
    Challenge level
    1 out of 3

    Where should runners start the 200m race so that they have all run the same distance by the finish?

  • Generating Triples
    problem
    Favourite

    Generating Triples

    Age
    14 to 16
    Challenge level
    1 out of 3

    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
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    Steel Cables

    Age
    14 to 16
    Challenge level
    1 out of 3

    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
    Favourite

    Factorising With Multilink

    Age
    14 to 16
    Challenge level
    1 out of 3

    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

  • Nutrition and Cycling
    problem
    Favourite

    Nutrition and Cycling

    Age
    14 to 16
    Challenge level
    1 out of 3

    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
    Favourite

    Picturing the World

    Age
    14 to 16
    Challenge level
    1 out of 3

    How can we make sense of national and global statistics involving very large numbers?

  • Quadratic Patterns
    problem
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    Quadratic Patterns

    Age
    14 to 16
    Challenge level
    1 out of 3

    Surprising numerical patterns can be explained using algebra and diagrams...

  • Box plot match
    problem
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    Box Plot Match

    Age
    14 to 16
    Challenge level
    1 out of 3

    Match the cumulative frequency curves with their corresponding box plots.

  • Standard Index Form Matching
    problem
    Favourite

    Standard Index Form Matching

    Age
    14 to 16
    Challenge level
    1 out of 3

    Can you match these calculations in Standard Index Form with their answers?

  • Three cubes
    problem
    Favourite

    Three Cubes

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the dimensions of the three cubes?