Questions

From Worst to Best

51 P6.AN.NK.17052211

Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.

3 m

Attempt

52 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

Attempt

Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral

53 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

Attempt

Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral

54 P6.AN.NK.17050205

Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.

3 m

Video Attempt

Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle

55 P6.AN.NK.21060910

Level 3 PSLE
The figure is formed by five straight lines AC, AD, BD, BE and CE.

Find ∠y.
Find ∠z.

3 m

Attempt

Angles on a straight line Vertically opposite angles Angles sum of triangle Sum of angles in a star

56 P6.AN.NK.17052103

Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.

3 m

Video Attempt

Angles sum of triangle Exterior angle of a triangle Sum of angles in a star

57 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

Attempt

Right angle Square Vertically opposite angles Angles sum of triangle

58 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.

Find ∠YZB.
Find ∠XAZ.

4 m

Attempt

Equilateral triangle Isosceles triangle Angles sum of triangle Fraction of a whole

59 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

Attempt

Equilateral triangle Angles on a straight line Vertically opposite angles Angles sum of triangle

60 P6.AN.NK.17051731

Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.