Level 3 PSLE
In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm2.
  1. What is the area of each triangle that was cut out?
  2. The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
5 m
Level 3
The figure is not drawn to scale. 16 of the rectangle and 35 of the square is shaded as shown. What fraction of the figure is shaded?
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
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Level 2 PSLE
A symmetric figure is drawn on a rectangular piece of paper 20 cm by 15 cm as shown. Its outline consists of a large semicircle, 2 smaller semicircles and 2 straight lines.
  1. What is the area of the figure?
  2. What is its perimeter? Take π = 3.14
5 m
Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)
5 m
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Level 3
The figure is made up of a circle, a rectangle and 2 semicircles. AC, the diameter of the circle, is 15 cm, AB is 12 cm and BC is 9 cm.
  1. What is the total area of the shaded parts?
  2. What is the total perimeter of the shaded parts? (Take π = 3.14)
5 m
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
Level 3 PSLE
The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm2.
  1. Find the perimeter of the rectangle.
  2. Find the area of the figure. Take π = 3.14
5 m
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
5 m
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
  1. Find the width of each tile.
  2. Find the total area of the shaded regions.
5 m
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m
Level 3
2 rectangles A and B, not drawn to scale, overlap at x as shown. x is 18 of rectangle A and 16 of rectangle B. If the length of rectangle B is 9 cm and its breadth is 4 cm, what is the area of the unshaded part of figures A and B?
4 m