Coordinates

  • Treasure Hunt
    problem

    Treasure hunt

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • Eight hidden squares
    problem

    Eight hidden squares

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Graphical Triangle
    problem

    Graphical triangle

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    What is the area of the triangle formed by these three lines?
  • Two Number Lines
    problem

    Two number lines

    Age
    7 to 11
    Challenge level
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    Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
  • Flight Path
    problem

    Flight path

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Use simple trigonometry to calculate the distance along the flight path from London to Sydney.
  • Route to infinity
    problem

    Route to infinity

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    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
    filled star empty star empty star
    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
    filled star filled star empty star
    Can you draw perpendicular lines without using a protractor? Investigate how this is possible.
  • Cubestick
    problem

    Cubestick

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    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
    filled star filled star empty star

    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?