Quadrilaterals

  • Stellar Angles
    problem

    Stellar angles

    Age
    11 to 14
    Challenge level
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    Weekly Problem 30 - 2013
    What is the angle $x$ in the star shape shown?
  • Rabbit Run
    problem

    Rabbit run

    Age
    7 to 11
    Challenge level
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    Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?

  • Fred the Class Robot
    problem

    Fred the class robot

    Age
    7 to 11
    Challenge level
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    Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
  • Square It
    problem

    Square it

    Age
    11 to 16
    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.

  • Square split into a triangle and trapezium
    problem

    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?

  • Flexi Quad Tan
    problem

    Flexi quad tan

    Age
    16 to 18
    Challenge level
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    As a quadrilateral Q is deformed (keeping the edge lengths constnt) the diagonals and the angle X between them change. Prove that the area of Q is proportional to tanX.
  • content-03-01-cupboardlove2-sol1.gif
    problem

    Folding

    Age
    7 to 11
    Challenge level
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    What shapes can you make by folding an A4 piece of paper?
  • A Cartesian Puzzle
    problem

    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.

  • Making Rectangles, Making Squares
    problem

    Making rectangles, making squares

    Age
    11 to 14
    Challenge level
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    How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?