2D shapes and their properties

  • Completing Quadrilaterals
    problem
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    Completing Quadrilaterals

    Age
    11 to 14
    Challenge level
    1 out of 3

    We started drawing some quadrilaterals - can you complete them?

  • Guess \my Quad
    problem
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    Guess My Quad

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many questions do you need to identify my quadrilateral?

  • Rolling Around
    problem
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    Rolling Around

    Age
    11 to 14
    Challenge level
    2 out of 3

    A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

  • Square coordinates
    problem
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    Square Coordinates

    Age
    11 to 14
    Challenge level
    2 out of 3

    A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

  • Shapely pairs
    problem
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    Shapely Pairs

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Property chart
    problem
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    Property Chart

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Opposite vertices
    problem
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    Opposite Vertices

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • Efficient cutting
    problem
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    Efficient Cutting

    Age
    11 to 14
    Challenge level
    3 out of 3

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Square It
    problem
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    Square It

    Age
    11 to 16
    Challenge level
    1 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 square.

  • Parallelogram It
    problem
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    Parallelogram It

    Age
    11 to 16
    Challenge level
    1 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 parallelogram.