Being collaborative

  • Pythagoras Proofs
    problem
    Favourite

    Pythagoras Proofs

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you make sense of these three proofs of Pythagoras' Theorem?

  • Rhombus It
    problem
    Favourite

    Rhombus It

    Age
    11 to 16
    Challenge level
    2 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • Ben's Game
    problem
    Favourite

    Ben's Game

    Age
    11 to 16
    Challenge level
    3 out of 3

    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • Chances are
    problem
    Favourite

    Chances Are

    Age
    14 to 16
    Challenge level
    1 out of 3

    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • The Better Choice
    problem
    Favourite

    The Better Choice

    Age
    14 to 16
    Challenge level
    1 out of 3

    Here are two games you can play. Which offers the better chance of winning?

  • Making sixty
    problem
    Favourite

    Making Sixty

    Age
    14 to 16
    Challenge level
    1 out of 3

    Why does this fold create an angle of sixty degrees?

  • circles in quadrilaterals
    problem
    Favourite

    Circles in Quadrilaterals

    Age
    14 to 16
    Challenge level
    1 out of 3

    Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

  • Which is cheaper?
    problem
    Favourite

    Which Is Cheaper?

    Age
    14 to 16
    Challenge level
    1 out of 3

    When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

  • 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?