Question:

Level 3

In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.

In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.

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

Level 3

The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.

The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.

- Find ∠FAE.
- Find ∠CDE.

4 m

Level 3

Ben has a white rectangular card which is pink on the other side. He folds the card along its diagonal ED. Find (a) ∠a, (b) ∠b (c) ∠c

Ben has a white rectangular card which is pink on the other side. He folds the card along its diagonal ED. Find (a) ∠a, (b) ∠b (c) ∠c

4 m

Level 3 PSLE

In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.

In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.

4 m

Level 3 PSLE

In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.

In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.

- Find ∠XYS.
- Find ∠XWY.

4 m

Level 3

In the figure, not drawn to scale, O is the centre of the smaller circle. AB is a straight line. Find ∠AED.

In the figure, not drawn to scale, O is the centre of the smaller circle. AB is a straight line. Find ∠AED.

4 m

Level 3

In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.

In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.

- Find ∠x.
- Find ∠y.

4 m

Level 3

ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.

ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.

4 m

Level 3

The figure is not drawn to scale. Find

The figure is not drawn to scale. Find

- ∠a
- ∠b

4 m