1 P6.AN.NK.17052107
Level 2
In the figure, AOB, COD, EOF and GOH are straight lines. Find ∠s + ∠k + ∠l + ∠m + ∠n + ∠p + ∠q + ∠r.
2 m
Angles sum of triangle Angles at a point Exterior angle of a triangle Interior angles
2 P6.AN.NK.17050212
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.
2 m
Circle Exterior angle of a triangle Sum of angles in a quadrilateral
3 P6.AN.NK.17052105
Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.
  1. Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
  2. lf ∠e = 32°, find ∠f.
2 m
Angles sum of triangle in a star Exterior angle of a triangle
4 P6.AN.NK.21060932
Level 3 PSLE
ABCD is a trapezium with AB parallel to DC. AFB and EFC are straight lines and AE = EB. ∠EBC = 94°.
  1. Find ∠AFD.
  2. Find ∠BFE.
3 m
Angles sum of triangle Trapezium Exterior angle of a triangle Alternate angles
5 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
Isosceles triangle Parallelogram Angles on a straight line Exterior angle of a triangle Alternate angles Interior angles
6 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle
7 P6.AN.NK.17052103
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Angles sum of triangle Exterior angle of a triangle Sum of angles in a star
8 P6.AN.NK.21060926
Level 3 PSLE
ABCD is a rhombus. DFB and DECG are straight lines.
  1. Find ∠ABD.
  2. Find ∠DCG.
  3. Find ∠DFE.
4 m
Isosceles triangle Rhombus Angles on a straight line Angles sum of triangle Exterior angle of a triangle
9 P6.AN.NK.21060912
Level 3 PSLE
In the figure, ABCD is a straight line, BDEF is a parallelogram and EC = EF. ∠FAB is a right angle, ∠AFB = 30° and ∠DEC = 20°.
  1. Find ∠x.
  2. Find ∠y.
4 m
Right angle Isosceles triangle Parallelogram Exterior angle of a triangle
10 P6.AN.NK.17051742
Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?
4 m
Angles on a straight line Exterior angle of a triangle Sum of angles in a quadrilateral

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