421 P5.AN.JM.17083172
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Isosceles triangle Rhombus Angles on a straight line Vertically opposite angles Interior angles Sum of angles in a quadrilateral
422 P5.AN.JM.17083259
Level 3
In the figure, O is the centre of the circle and SPQ is a straight line. Given that RS is parallel to OP, find ∠PSR.
4 m
Corresponding angles Angle properties within a circle
423 P5.AN.JM.17083262
Level 3
In the figure, O is the centre of the circle, AO is parallel to BC and ∠BOC = 100°. Find the values of
  1. ∠p
  2. ∠q
  3. ∠r
4 m
Angles at a point Alternate angles Angle properties within a circle
424 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle
425 P5.AN.JM.17083256
Level 3
In the figure, ABCD is a parallelogram. O is the centre of the circle. Find
  1. ∠ADC
  2. ∠ABD
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Interior angles Angle properties within a circle
426 P6.AN.NK.17052109
Level 3
Figure UWXYZ is not drawn to scale. Find ∠a.
5 m
Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
427 P6.AN.NK.17051751
Level 3
In the figure, ∠LRV is a right-angled isosceles triangle. LV//NU , ∠TQP = 49°, ∠RTS = 40° and ∠PSQ = 57°. Find
  1. ∠LVR
  2. ∠QNU
  3. ∠SUT.
5 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Corresponding angles
428 P5.AN.JM.17083162
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Isosceles triangle Rhombus Trapezium Angles on a straight line
429 P5.AN.JM.17083168
Level 3
In the figure, given that FBDE is a rhombus and ACE is a triangle, find
  1. ∠x
  2. ∠y
5 m
Triangle Rhombus Angles on a straight line Angles sum of triangle Alternate angles
430 P6.AN.NK.17052304
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
  1. ∠EFG
  2. ∠AEB.
5 m
Square Equilateral triangle Isosceles triangle Rhombus Interior angles
431 P6.AN.NK.17050213
Level 3
In the figure, O Is the centre of the circle and AE is parallel to BC. DF = DE, ∠OAB = 56° and ∠FED = 48°. Find
  1. ∠CBG.
  2. ∠BCD.
5 m
Isosceles triangle Circle Vertically opposite angles Angles sum of a triangle Exterior angle of a triangle Alternate angles Interior angles
432 P6.AN.NK.17050209
Level 3
The figure, not drawn to scale, O is the centre of the circle and BG//CF//DE. Find
  1. ∠AOD
  2. ∠AFO
5 m
Isosceles triangle Circle Angles sum of a triangle Angles at a point Exterior angle of a triangle Interior angles
433 P6.AN.NK.17051743
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination
434 P6.AN.JC.22050904
Level 3 PSLE
Maria has a triangular piece of paper ABC with BA =BC, ∠ABC = 82° and ∠CDE = 69°. ADC and BEC are straight lines. She folded it along the line DE as shown.
  1. Find ∠x.
  2. Find ∠y
5 m
Isosceles triangle Angles on a straight line Angles sum of triangle Folded figure
435 P5.AN.JM.17083138
Level 3
In the figure, PRT and QRS are straight lines. RP = RQ and SR = ST. If ∠QPR = 55°, find
  1. ∠PRS
  2. ∠RST
5 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
436 P5.AN.JM.17083227
Level 3
WXYZ is a rhombus, STZ and XTY are straight lines. If XT = TZ, ∠TZY = 18° and ∠VXY = 31°, find
  1. ∠TYZ
  2. ∠VST
5 m
Rhombus Angles on a straight line Exterior angle of a triangle
437 P5.AN.JM.17083150
Level 3
AFED and ABCE are two different parallelograms. Given that ∠DAE = 35° and ∠ABC = 75°, find
  1. ∠AED
  2. ∠FEC
5 m
Parallelogram Angles on a straight line Alternate angles

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