Coordinates

  • Route to infinity
    problem

    Route to infinity

    Age
    11 to 14
    Challenge level
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    Can you describe this route to infinity? Where will the arrows take you next?

  • Coordinate Challenge
    problem

    Coordinate challenge

    Age
    7 to 11
    Challenge level
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    Use the clues about the symmetrical properties of these letters to place them on the grid.

  • Dotty Relationship
    problem

    Dotty relationship

    Age
    7 to 11
    Challenge level
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    Can you draw perpendicular lines without using a protractor? Investigate how this is possible.
  • Cubestick
    problem

    Cubestick

    Age
    16 to 18
    Challenge level
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    Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

  • Square coordinates
    problem

    Square coordinates

    Age
    11 to 14
    Challenge level
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    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?

  • Isosceles Triangles
    problem

    Isosceles triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Cartesian Isometric
    problem

    Cartesian isometric

    Age
    7 to 11
    Challenge level
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    The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
  • Ten Hidden Squares
    problem

    Ten hidden squares

    Age
    7 to 14
    Challenge level
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    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • 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?
  • 3D Treasure Hunt
    problem

    3D treasure hunt

    Age
    14 to 18
    Challenge level
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    Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?