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 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
The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm2. Find the area of the unshaded square.
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
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
John wants to cover a floor measuring 80 cm by 100 cm with square tiles of the same size. Given that he uses only whole tiles, find
  1. the largest possible length of the side of each tile.
  2. the number of tiles that are needed to cover the floor.
4 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
Serena had 134 round and square shaped cookies. After giving away 13 of her round shaped cookies and 14 of her square shaped cookies, she had an equal number of round and square shaped cookies. How many square shaped cookies did she have at first?
4 m