Perimeter

problem

Rectangle Cutting

Age

14 to 16

Challenge level

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?
problem

Garden Fence

Age

14 to 16

Challenge level

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?
problem

Altitude Inequalities

Age

14 to 16

Challenge level

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

Five Circuits, Seven Spins

Age

16 to 18

Challenge level

A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.
problem

Von Koch Curve

Age

16 to 18

Challenge level

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.