501 P6.AP.TL.17090853
Level 3
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
4 m
Square Triangle Composite figure area
502 P5.AN.JM.17083252
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Right angle Square Equilateral triangle Angles on a straight line Angles sum of triangle
503 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
504 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
505 P6.AN.JC.17051708
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Right angle Equilateral triangle Square Angles on a straight line Exterior angles of a triangle Fraction of a whole Times as many
506 P5.AN.JM.17083161
Level 3
In the figure, ABCD is a rhombus and ACE is a straight line. Find ∠BEC.
4 m
Isosceles triangle Rhombus Exterior angle of a triangle
507 P6.AN.NK.17050211
Level 3
In the figure, not drawn to scale, O is the centre of the smaller circle. AB is a straight line. Find ∠AED.
4 m
Isosceles triangle Circle Angles on a straight line Alternate angles
508 P5.AN.JM.17083222
Level 3
In the figure, not drawn to scale, ABC, BFG, BDE, ADF are straight lines. Given that ∠CBF is twice the size of ∠FBD. Find ∠BAF.
4 m
Vertically opposite angles Exterior angle of a triangle Times as many
509 P5.AN.JM.17083225
Level 3
In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Exterior angle of a triangle
510 P6.AP.NK.21060427
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Rectangle Right-angled triangle Tiling Min-max
511 P6.AN.NK.21060925
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m
Rectangle Triangle Vertically opposite angles Angles sum of triangle Alternate angles
512 P5.AN.JM.17083134
Level 3
ABCE is a rectangle. Given that FBD is an isosceles triangle, find ∠DBC.
4 m
Right angle Rectangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
513 P6.AN.JC.23031305
Level 3 PSLE
ABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
  1. Find ∠ACD.
  2. Find ∠CDA.
  3. Find &angEAB.
4 m
Isosceles triangle Equilateral triangle Parallelogram Angles sum of triangle Angles at a point Alternate angles
514 P5.AN.JM.17083135
Level 3
In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find
  1. ∠GKJ
  2. ∠EFK
4 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
515 P3.AP.PR.17102411
Level 3
Trees were planted along each side of a triangle shaped garden so that an equal number of trees were found along each side of the garden. If there were 78 trees used, how many trees were there along each side of the garden?
4 m
Triangle Equal stage Intervals
516 P6.AP.TL.17090816
Level 3
Find the area of the figure.
4 m
Triangle Triangle common base
517 P6.AN.NK.17051746
Level 3
The figure is not drawn to scale. BDEF is a parallelogram, ABF and BCF are isosceles triangles. FE//UZ and ∠EYZ= 104°. AD is straight line.
  1. Find ∠AFB.
  2. Find ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Corresponding angles
518 P6.AN.NK.17051756
Level 3
In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.
  1. Find ∠x.
  2. Find ∠y.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
519 P6.AP.TL.17090817
Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
4 m
Rectangle Triangle Mixed numbers
520 P5.AN.JM.17083241
Level 3
Given the figure, find
  1. ∠y
  2. ∠x
4 m
Angles on a straight line Angles sum of triangle Alternate angles

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