Quadrilaterals

  • Square split into a triangle and trapezium
    problem
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    Tangram Tangle

    Age
    5 to 7
    Challenge level
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    If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

  • Seeing Squares
    problem
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    Seeing Squares

    Age
    5 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 square.

  • problem
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    Poly Plug Rectangles

    Age
    5 to 11
    Challenge level
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    The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

  • A section of a bracelet made of colourful beads.
    problem
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    Bracelets

    Age
    7 to 11
    Challenge level
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    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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    Rectangle Tangle

    Age
    7 to 11
    Challenge level
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    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

  • A Cartesian Puzzle
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    A Cartesian Puzzle

    Age
    7 to 11
    Challenge level
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    Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

  • Transformations on a Pegboard
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    Transformations on a Pegboard

    Age
    7 to 11
    Challenge level
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    How would you move the bands on the pegboard to alter these shapes?

  • Torn Shapes
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    Torn Shapes

    Age
    7 to 11
    Challenge level
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    These rectangles have been torn. How many squares did each one have inside it before it was ripped?

  • Shape Draw
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    Shape Draw

    Age
    7 to 11
    Challenge level
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    Use the information on these cards to draw the shape that is being described.

  • Seeing Parallelograms
    problem
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    Seeing Parallelograms

    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 parallelogram.