2D shapes and their properties

  • Quad match
    problem
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    Quad Match

    Age
    7 to 11
    Challenge level
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    A task which depends on members of the group noticing the needs of others and responding.

  • Seeing Rhombuses
    problem

    Seeing Rhombuses

    Age
    7 to 11
    Challenge level
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    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.

  • Count the Trapeziums
    problem

    Count the Trapeziums

    Age
    7 to 11
    Challenge level
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    How many trapeziums, of various sizes, are hidden in this picture?
  • Board Block Challenge
    problem
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    Board Block Challenge

    Age
    7 to 11
    Challenge level
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    Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

  • article

    From One Shape to Another

    Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.

  • What shape?
    problem
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    What Shape?

    Age
    7 to 14
    Challenge level
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    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

  • LOGO Challenge 2 - Diamonds are forever
    problem

    Logo Challenge 2 - Diamonds Are Forever

    Age
    7 to 16
    Challenge level
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    The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.

  • LOGO Challenge 8  - Rhombi
    problem

    Logo Challenge 8 - Rhombi

    Age
    7 to 16
    Challenge level
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    Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

  • First Forward into Logo 4: Circles
    problem

    First Forward Into Logo 4: Circles

    Age
    7 to 16
    Challenge level
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    Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

  • An Equilateral Triangular Problem
    problem
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    An Equilateral Triangular Problem

    Age
    11 to 14
    Challenge level
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    Take an equilateral triangle and cut it into smaller pieces. What can you do with them?