2D shapes and their properties

  • An Equilateral Triangular Problem
    problem
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    An Equilateral Triangular Problem

    Age
    11 to 14
    Challenge level
    1 out of 3

    Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

  • Quadrilaterals game
    game
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    Quadrilaterals Game

    Age
    11 to 14
    Challenge level
    1 out of 3

    A game for 2 or more people, based on the traditional card game Rummy.

  • Blue and White
    problem
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    Blue and White

    Age
    11 to 14
    Challenge level
    1 out of 3

    Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

  • Hidden Squares
    problem
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    Hidden Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the squares hidden on these coordinate grids?

  • 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?