Question:

Level 2

In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.

In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.

2 m

Level 2

Find the sum of ∠m, ∠n, ∠p, ∠l and ∠k.

Find the sum of ∠m, ∠n, ∠p, ∠l and ∠k.

2 m

Level 2

In the figure, ABC and XYZ are equilateral triangles, and ∠BGX = 84°. Find ∠CHZ.

In the figure, ABC and XYZ are equilateral triangles, and ∠BGX = 84°. Find ∠CHZ.

2 m

Level 3

In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.

In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.

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

A rectangular piece of paper was folded as shown. Find ∠EGI.

A rectangular piece of paper was folded as shown. Find ∠EGI.

3 m

Level 3

The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z

The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z

3 m

Level 3

A rectangular piece of paper was folded as shown.

A rectangular piece of paper was folded as shown.

- Find ∠a.
- Find ∠b.

4 m

Level 3

The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.

The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.

- Find the area of Figure 2. ABEDF, after the folding.
- In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.

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