Level 3
Ling Ling used 6 identical squares in Figure A to make a rectangular card as shown in Figure B. The perimeter of Figure A was 80 cm. What was the length of the card?
4 m
Level 3
A rectangular piece of paper, measuring 20 cm by 10 cm, is cut into 4 smaller identical pieces as shown in Figure A. They are then used to form a shape as shown in Figure B. What is the perimeter of the shape in Figure B?
4 m
Level 3
The figure is made up of a square and a rectangle. It has an overall perimeter of 74 cm. The breadth of the rectangle is 34 as long as the length of the square. Given that the length of the rectangle is 16 cm, find the area of the whole figure.
4 m
Level 3
The figure is made up of 1 small square, 1 big square and 1 rectangle. It has an overall perimeter of 120 cm. The length of the rectangle is 4 times as long as its breadth. Find the area of the whole figure.
4 m
Level 3
The figure is formed from 2 rectangles and a square. The length of Rectangle R is twice that of Square S. The breadth of Rectangle R is 13 its length.
  1. Find the area of Rectangle T.
  2. Find the perimeter of the whole figure.
4 m
Level 3
The figure not drawn to scale is made up of a square and a rectangle. It has an overall perimeter of 56 cm. The length of the square is 23 as long as the length of the rectangle. Given that the breadth of the rectangle is 5 cm, find the area of the whole figure.
4 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
4 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
4 m
Level 3
Fadil has a rectangular piece of paper measuring 42 cm by 20 cm as shown in Figure 1. He cuts out a square from the paper and shifts it to the side of the remaining piece of paper to create a new figure as shown in Figure 2. There is no overlapping of the 2 pieces of paper. Figure 2 has a perimeter of 168 cm. What is the area of the square that was cut out?
4 m
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
4 m
Level 3
After a rectangular piece of paper was cut into 18 squares of sides 4 cm each, a piece of L-shaped strip of paper was left as shown. Given that the length of the rectangular piece of paper is 26 cm, what is the perimeter of the rectangular piece of paper before it was cut?
4 m
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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 is made up of identical rectangles. The length of the rectangle is twice of its breadth. The area of the figure is 256 cm2. What is the perimeter of the figure?
4 m
Level 3
Figure A is a rectangular piece of paper measuring 36 cm by 20 cm. James folded the paper along the dotted line to form Figure B. What is the area of the shaded part of the paper?
4 m
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, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
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