Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
4 m
Level 3
The figure is made up of 4 identical rectangles, A, B, C and D. The perimeter of rectangle A is 72 cm.
  1. What is the breadth of rectangle B?
  2. Find the area of rectangle C.
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
A, B, C and D are identical rectangles. What is the perimeter of the shaded part?
4 m
Level 3
The figure is made up of 6 identical triangles. Given that the perimeter of Square EFGH is 72 cm, Find the area of the whole figure.
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
The figure shows a square frame that is made up of 4 identical rectangles. The length of each rectangle is three times of its breadth. The perimeter of the frame is 96 cm. Find the shaded area.
4 m
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Level 3
4 identical rectangles are arranged as shown. XY is 13 cm and the unshaded area Square ABCD is 81 cm2. Find the breadth of the rectangle.
4 m
Level 3
The figure shows a big square that is made up of a small square with area 16 cm2 and 8 right-angled triangles with a base of 3 cm.
  1. Find the height of each triangle.
  2. Find the area of the big square.
4 m