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
The figure, not drawn to scale, is made up of 3 identical small squares within a larger square of length 12 cm. The perimeter of the unshaded portion of the figure is 40 cm. What is the area of the shaded portion of the figure?
4 m
Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 81 cm2.
  1. Find the length of AE
  2. Find the area of the shaded region.
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
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
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.
4 m
Level 3
Mr Lim has three pieces of rope of length 80 cm, 140 cm and 180 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainder.
  1. What is the greatest possible length of each of the smaller pieces of rope?
  2. How many of the smaller pieces of rope of equal length can he get?
4 m
Level 3
Roger had some rope with a total length of 24 m. He used 23 of the rope to tie a wooden structure for outdoor cooking and 34 of the remaining rope to strengthen the pegs for his tent. How much rope did he have left? Give your answer in meters.
4 m