Perimeter

  • Small pepper seedlings in turquoise pots.
    problem

    Rectangle Cutting

    Age
    14 to 16
    Challenge level
    2 out of 3

    Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?

  • Garden Fence
    problem

    Garden Fence

    Age
    14 to 16
    Challenge level
    3 out of 3

    Weekly Problem 44 - 2009
    A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?

  • Altitude Inequalities
    problem

    Altitude Inequalities

    Age
    14 to 16
    Challenge level
    3 out of 3

    Weekly Problem 8 - 2010
    Are you able to find triangles such that these five statements are true?

  • Five circuits, seven spins
    problem

    Five Circuits, Seven Spins

    Age
    16 to 18
    Challenge level
    2 out of 3
    A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.
  • Von Koch Curve
    problem

    Von Koch Curve

    Age
    16 to 18
    Challenge level
    3 out of 3

    Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.