296 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
297 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
298 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
299 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
300 P6.AP.TL.17090845
Level 3
The figure shows a triangle KLM and 3 semicircles. If the shaded area of the semicircle, labelled y, is 13 the unshaded area of the semicircle, labelled x, find the total shaded area. (Take π = 3.14)
5 m
Triangle Semicircle Composite figure area Fraction to ratio

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