Visualising and representing

  • Who's who?
    problem

    Who's Who?

    Age
    11 to 16
    Challenge level
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    Can you solve the clues to find out who's who on the friendship graph?

  • Spots and Measles
    problem

    Spots and Measles

    Age
    11 to 16
    Challenge level
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    99% of people who have measles have spots. Ben has spots. Do you think he has measles?

  • Sprouts
    game

    Sprouts

    Age
    11 to 16
    Challenge level
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    A game for 2 people. Take turns joining two dots, until your opponent is unable to move.

  • LOGO Challenge - Triangles-Squares-Stars
    problem

    Logo Challenge - Triangles-Squares-Stars

    Age
    11 to 16
    Challenge level
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    Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

  • 11x11 square
    problem

    11x11 Square

    Age
    11 to 16
    Challenge level
    filled star filled star empty star
    Here's a neat trick you can do with an 11 by 11 square...
  • Yih or Luk tsut k'i or Three Men's Morris
    game

    Yih or Luk Tsut K'i or Three Men's Morris

    Age
    11 to 18
    Challenge level
    filled star empty star empty star

    Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.

  • The Bridges of Konigsberg
    problem

    The Bridges of Konigsberg

    Age
    11 to 18
    Challenge level
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    Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.

  • Placeholder: several colourful numbers
    problem

    Triangles in the Middle

    Age
    11 to 18
    Challenge level
    filled star empty star empty star
    This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
  • Four coloured wooden cubes balanced precariously to make a tower.
    problem

    Instant Insanity

    Age
    11 to 18
    Challenge level
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    Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.