Question:

Level 3

Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?

3 m
Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?

Level 3

In an office tower of 600 workers, 35% of the staff is the same as 70% of the number of visitors. How many less visitors than staff are there in the office tower?

3 m
In an office tower of 600 workers, 35% of the staff is the same as 70% of the number of visitors. How many less visitors than staff are there in the office tower?

Level 3

The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.

The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.

3 m

Level 3

In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is^{5}_{4} of ∠DCQ . Find ∠ADC.

In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is

3 m

Level 3

The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.

The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.

3 m

Level 3

In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.

In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.

4 m

Level 3

In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.

In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.

4 m

Level 3

The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is^{1}_{2} of ∠x and ∠z is 3 times of ∠y, find

The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is

- ∠z
- ∠w.

4 m

Level 3

The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.

The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.

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.

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