101 P5.AN.JM.17083258
Level 3
In the figure, O is the centre of the circle. ∠ABD is 90°. Find ∠x.
3 m
Right angle Angles sum of triangle Isosceles triangle Angle properties within a circle
102 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
103 P4.AN.JM.17092851
Level 3
The figure shows a square ABCD. ∠BAE = 27°.
  1. Name the line of symmetry for the square ABCD.
  2. Find ∠AEC.
4 m
Square Angles sum of triangle Symmetry
104 P4.AN.JM.17092852
Level 3
The figure shows a square PQRS. ∠QST is 21° larger than ∠RST.
  1. Name the line of symmetry for the square PQRS.
  2. Find ∠QST.
  3. Find ∠QTS.
4 m
Square Angles sum of triangle Symmetry Model Comparison Units method
105 P4.AN.JM.17092853
Level 3
The figure shows a square JKLM. ∠LJN is twice as large as angle MJN.
  1. Name the line of symmetry tor the square JKLM.
  2. Find ∠LJN.
  3. Find ∠JNM.
4 m
Square Angles sum of triangle Symmetry Model Times-as-many Units method
106 P4.AN.JM.17092866
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m
Rectangle Angles sum of triangle Overlapping angles
107 P4.AN.JM.17092858
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
  1. Name the line that is perpendicular to FC.
  2. Find ∠BCH.
  3. Find ∠HKC.
4 m
Square Rectangle Angles sum of triangle Overlapping angles
108 P4.AN.JM.17092872
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Square Angles sum of triangle Overlapping angles Model Comparison Model Times-as-many Units method
109 P6.AN.NK.17051754
Level 3
In the figure, not drawn to scale, PQRS is a square. RLN, SLQ and RMN are straight lines. Find the value of ∠PMN.
4 m
Right angle Square Vertically opposite angles Angles sum of triangle
110 P6.AN.NK.17051701
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
4 m
Equilateral triangle Isosceles triangle Angles sum of triangle Fraction of a whole

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