Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the common baseline for all the semi-circles.
  1. Find the length of AB.
  2. Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
3 m
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m