Level 3
In the figure, O is the centre of the circle and SPQ is a straight line. Given that RS is parallel to OP, find ∠PSR.
4 m
Level 3
In the figure, WXYZ and XYML are squares. P and N are centres of square WXYZ and PQRS respectively. O is the centre of XY. If WL = 56 cm, take π = 227 and find
  1. the perimeter of the shaded region,
  2. the area of the shaded region.
4 m
Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
  1. Find the area of the shaded part.
  2. Find the perimeter of the dotted line. (Take π = 3.14)
4 m
Level 3
In the figure, O is the centre of the circle, AO is parallel to BC and ∠BOC = 100°. Find the values of
  1. ∠p
  2. ∠q
  3. ∠r
4 m
Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle shape and a pond. 4 quarter circles make up the shape of the pond. The length and breadth of the rectangle are 80 m and 44 m respectively.
  1. Find the perimeter of the pond.
  2. Find the area of the shaded part. (Take π = 3.14).
4 m