41 P5.AN.NK.23041248
Leve 2
The diagram is not drawn to scale. Given that RST and QSP are straight lines and QRS is an isosceles triangle, find ∠a.
2 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Angles at a point
42 P6.AN.NK.17051713
Level 2
Find the sum of ∠m, ∠n, ∠p, ∠l and ∠k.
2 m
Angles sum of triangle Sum of angles in a quadrilateral
43 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
44 P5.AN.JM.17083160
Level 2
The figure shows a rhombus EFGH. Given that ∠EGF = 57°, what is the value of ∠EHF?
2 m
Rhombus Angles sum of triangle Alternate angles
45 P5.AN.JM.17083238
Level 2
The figure is made up of a rhombus ABCD and a trapezium BEFC. DCF is a straight line and ∠BDC = 41°. Find ∠p.
2 m
Rhombus Trapezium Isosceles triangle Angles sum of triangle Corresponding angles
46 P5.AN.JM.17083147
Level 2
The figure is not drawn to scale. WXYZ is a parallelogram. Find ∠XYV.
2 m
Parallelogram Angles sum of triangle Interior angles
47 P5.AN.JM.17083175
Level 2
In the figure, JKLM is a trapezium, KMN is a straight line, KL = ML, ∠KLM = 106° and ∠JMN = 75°. Find ∠KJM.
2 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Alternate angles
48 P5.AN.JM.17083180
Level 2
Given the figure, find
  1. ∠x
  2. ∠y
2 m
Angles sum of triangle Alternate angles Interior angles
49 P5.AN.JM.17083244
Level 2
Given the figure shown, find
  1. ∠x
  2. ∠y
2 m
Right angle Angles sum of triangle Alternate angles Interior angles
50 P5.AN.JM.17083205
Level 2
The figure shows a parallelogram WXVZ and an isosceles triangle UZV. WZV and UZV are straight lines. Given that ∠XYZ = 118°, what is the value of ∠ZUV?
2 m
Isosceles triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
51 P5.AN.JM.17083250
Level 2
ABCD and EFGC are different squares. Given that ∠EHC = 70°, find ∠ACE.
2 m
Right angle Square Angles sum of triangle Overlapping angles
52 P5.AN.JM.17083127
Level 2
In the figure, ∠BAE = 45° and ∠BED = 130°. Find ∠CBE.
2 m
Angles sum of triangle Sum of angles in a quadrilateral
53 P5.AN.JM.17083140
Level 2
Find the unknown angles.
  1. angle x
  2. angle y
2 m
Isosceles triangle Angles sum of triangle Sum of angles in a quadrilateral
54 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
55 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
56 P6.AN.NK.17052102
Level 3
The figure is not drawn to scale. Find the sum of ∠FAC + ∠FBD + ∠ACF + ∠DFC.
3 m
Angles sum of triangle
57 P6.AN.NK.17050214
Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
3 m
Circle Angles at a point Angles sum of triangle
58 P4.AN.JM.17092855
Level 3
The figure shows a rectangle EFGH. ∠GFH = 46° and ∠GHJ = 31°. Find
  1. ∠FHJ
  2. ∠GJH
3 m
Rectangle Angles sum of triangle
59 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
60 P4.AN.JM.17092854
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m
Square Angles sum of triangle Model Times-as-many Units method

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