Visualising and representing

  • Pythagoras Perimeters
    problem

    Pythagoras perimeters

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

    If you know the perimeter of a right angled triangle, what can you say about the area?

  • Puzzling Place Value
    problem

    Puzzling place value

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

    Can you explain what is going on in these puzzling number tricks?

  • Square Number Surprises
    problem

    Square number surprises

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

    There are unexpected discoveries to be made about square numbers...

  • Geometry and Measure - Short Problems
    problem

    Tied up

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

    How much of the field can the animals graze?

  • Jam
    game

    Jam

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    A game for 2 players
  • Jam
    game

    Jam

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    To avoid losing think of another very well known game where the patterns of play are similar.

  • Ladder and Cube
    problem

    Ladder and cube

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

  • Bendy Quad
    problem

    Bendy quad

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

  • Platonic Planet
    problem

    Platonic planet

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?
  • A Problem of time
    problem

    A problem of time

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?