Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
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
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
4 m
Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 m
TRY FOR FREE
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m