21 P6.AN.NK.17081611
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
22 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Angles sum of triangle Angle properties within a circle
23 P6.AN.NK.17051735
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
3 m
Isosceles triangle Circle Rhombus Angles sum of triangle
24 P6.AN.NK.17051710
Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
3 m
Isosceles triangle Angles on a straight line Angles sum of triangle
25 P6.AN.NK.17051715
Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle
26 P6.AN.NK.17081801
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
3 m
Right angle Square Equilateral triangle Isosceles triangle Angles sum of triangle
27 P6.AN.NK.17081613
Level 3 PSLE
In the figure, PTR and STQ are straight lines. PQ = QR = RS. ∠PTS = 110° and ∠QPR = 30°. Find ∠PRS.
3 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
28 P6.AN.NK.21060921
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
  1. Find ∠YZR.
  2. Find ∠ZQR.
3 m
Isosceles triangle Parallelogram Vertically opposite angles Angles sum of triangle
29 P6.AN.JC.23031302
Level 3 PSLE
ABCD and BDEF are rhombuses. CGD is a straight line.
  1. Find ∠DBG.
  2. Find ∠CDE.
3 m
Isosceles triangle Rhombus Angles sum of triangle Angles at a point
30 P6.AN.NK.17051750
Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
  1. ∠z
  2. ∠x + ∠y
  3. ∠y
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles

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