Level 3
The figure is made up of identical quadrants. The radius is 10 cm long. Take π as 3.14.
  1. Find the area of the shaded part.
  2. Find the perimeter of the shaded part.
4 m
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
4 m
Level 3 PSLE
OPQRS is part of a circle of radius 10 cm. OPR and OQS are quarter circles. The area of the shaded part OQR is 40 cm2 and the perimeter of the shaded part OQR is 30 cm. For each of the following, use the calculator value of π to find:
  1. the area of the figure OPQRS, correct to 2 decimal places,
  2. the perimeter of the figure OPQRS, correct to 1 decimal places.
4 m
Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
4 m
Level 3
The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 60 cm.
  1. Find the perimeter of the shaded figure. (Take π = 3.14)
  2. Find the shaded area of this figure. (Take π = 3.14)
4 m
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
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 shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
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
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