Level 3
The figure, not drawn to scale, is made up of 3 equilateral triangles and 3 squares. Find the ratio of the length AB to the length CD to the length EF. (Express your answer in its simplest form).
3 m
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
3 m
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Level 3
The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 25 the area of the unshaded big square. Find the area of the small square.
3 m
Level 3
Jermaine had a piece of wire 140 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 2.
  1. What is the length of the rectangle?
  2. What is the area of the rectangle?
3 m
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
3 m
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m