Question:

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.

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

In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .

In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .

4 m

Level 2 PSLE

The square ABCD is made up of 4 smaller squares.

The square ABCD is made up of 4 smaller squares.

- What is the ratio of the area of the shaded part to the area of the unshaded part?
- If the length of the square ABCD is 4 cm, what is the area of the shaded part?

2 m

Level 2 PSLE

A rope was first cut into two pieces in the ratio 3 : 2. The longer piece was then cut into two pieces in the ratio 3 : 1. Among the three pieces, the length of the shortest piece was 6 cm. What was the length of the rope before it was first cut?

2 m
A rope was first cut into two pieces in the ratio 3 : 2. The longer piece was then cut into two pieces in the ratio 3 : 1. Among the three pieces, the length of the shortest piece was 6 cm. What was the length of the rope before it was first cut?

Level 3

The length of Bamboo Pole G is^{1}_{4} of the length of Bamboo Pole H and the length of Bamboo Pole H is ^{1}_{3} of the length of Bamboo Pole I and ^{1}_{10} of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?

3 m
The length of Bamboo Pole G is

Level 3

After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?

4 m
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?

Level 1

The figure shows a cube. The total length of all the edges of the cube is 156 cm. Find the area of the shaded face.

The figure shows a cube. The total length of all the edges of the cube is 156 cm. Find the area of the shaded face.

2 m

Level 2

The length, breadth and height of a cuboid are in the ratio 8 : 5 : 2. If the length of the cuboid is 30 cm longer than its height, find its volume.

2 m
The length, breadth and height of a cuboid are in the ratio 8 : 5 : 2. If the length of the cuboid is 30 cm longer than its height, find its volume.

Level 2

A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain (Take π = 3.14)

A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain (Take π = 3.14)

2 m

Level 3 PSLE

In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.

In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.

- What fraction of square ACEG is shaded?
- If the length of the square is 96 cm, find the unshaded area in cm
^{2}.

3 m