Question:

Level 2

An equilateral triangle, XYZ, is folded as shown in the figure. Find

An equilateral triangle, XYZ, is folded as shown in the figure. Find

- ∠BAZ
- ∠YBZ.

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, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.

In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.

3 m

Level 3

In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.

In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.

3 m

Level 1

In the figure, EFG is an equilateral triangle and ∠FGH = 70°. Find ∠a.

In the figure, EFG is an equilateral triangle and ∠FGH = 70°. Find ∠a.

2 m

Level 3 PSLE

In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.

In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.

3 m

Level 3

In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?

In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?

3 m

Level 3

In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.

In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.

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

The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.

The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.

- Find ∠WVZ.
- Find ∠VXW.
- Find ∠YXZ.

4 m