Coordinates

  • A Cartesian Puzzle
    problem
    Favourite

    A Cartesian Puzzle

    Age
    7 to 11
    Challenge level
    1 out of 3

    Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

  • Coordinate Challenge
    problem
    Favourite

    Coordinate Challenge

    Age
    7 to 11
    Challenge level
    1 out of 3

    Use the clues about the symmetrical properties of these letters to place them on the grid.

  • A rolled up old-fashioned treasure map.
    problem
    Favourite

    Treasure Hunt

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Eight hidden squares
    problem
    Favourite

    Eight Hidden Squares

    Age
    7 to 14
    Challenge level
    2 out of 3

    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?

  • Ten Hidden Squares
    problem
    Favourite

    Ten Hidden Squares

    Age
    7 to 14
    Challenge level
    3 out of 3

    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • Isosceles Triangles
    problem
    Favourite

    Isosceles Triangles

    Age
    11 to 14
    Challenge level
    1 out of 3

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

  • Attractive rotations
    problem
    Favourite

    Attractive Rotations

    Age
    11 to 14
    Challenge level
    1 out of 3

    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Hidden Squares
    problem
    Favourite

    Hidden Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the squares hidden on these coordinate grids?

  • Coordinate Patterns
    problem
    Favourite

    Coordinate Patterns

    Age
    11 to 14
    Challenge level
    2 out of 3

    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

  • Square coordinates
    problem
    Favourite

    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?