Questions

From Worst to Best

181 P6.AN.NK.17051705

Level 3
The figure is not drawn to scale. ACDE is a trapezium and AC//ED. Given that AE = AB, ∠EAB = 76° and ∠ACD = 100°.

Find ∠CDE.
Find ∠ABE.
Find ∠BED.

3 m

Attempt

182 P6.AN.NK.17051745

Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?

3 m

Attempt

Isosceles triangle Rhombus Angles at a point Interior angles

183 P6.AN.NK.17050202

Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find

∠x
∠y.

3 m

Attempt

Isosceles triangle Circle Rhombus Corresponding angles Interior angles

184 P6.AN.NK.17051720

Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.

3 m

Attempt

Rectangle Rhombus Angles on a straight line Angles sum of triangle Interior angles

185 P6.AN.NK.17081702

Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.

3 m

Attempt

Isosceles triangle Parallelogram Rhombus Angles sum of triangle Angles at a point Interior angles

186 P6.AN.NK.17051727

Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.

3 m

Attempt

Isosceles triangle Parallelogram Angles on a straight line Exterior angle of a triangle Alternate angles Interior angles

187 P6.AP.TL.17090781

Level 3
The figure is formed by a circle and an isosceles triangle XYZ. The diameter of the circle is 56 cm. Find the difference in area between the two shaded parts. (Take π = ²²₇)