21 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
22 P6.AN.NK.17052106
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
23 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
24 P6.AP.TL.17090802
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ.  Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
3 m
Equilateral triangle Composite figure area
25 P6.AP.TL.17090777
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
3 m
Length Equilateral triangle Intervals
26 P6.AN.NK.17051721
Level 3
The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
  1. Find ∠WVZ.
  2. Find ∠VXW.
  3. Find ∠YXZ.
4 m
Equilateral triangle Isosceles triangle Angles on a straight line
27 P6.AN.NK.17051740
Level 3
The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.
  1. Find ∠FAE.
  2. Find ∠CDE.
4 m
Square Equilateral triangle Isosceles triangle Angles on a straight line
28 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
29 P6.AN.NK.17081805
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
4 m
Equilateral triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
30 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

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