Level 3
Find the:
  1. area and
  2. perimeter of the shaded part. The diameter of the small circle is 6 cm. (Take π = 3.14)
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 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
Level 3 PSLE
The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
  1. Find the perimeter of the unshaded part.
  2. Find the total area of the shaded parts.
4 m
Level 3
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.
  1. How many rounds did Zane complete in 1 h?
  2. When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.
5 m