Questions

From Worst to Best

11 P6.AN.NK.17052206

Level 2
The figure shows a trapezium ABCD folded as shown. AB is parallel to DC. DA is parallel to FB. ∠ADF = 67°. Find ∠DAF.

2 m

Attempt

12 P6.AN.JC.23030117

Level 2 PSLE
A rectangular piece of paper is folded to form a trapezium ABCD. The two shaded triangles are identical. Find ∠x.

2 m

Attempt

Right angle Rectangle Trapezium Angles on a straight line Angles sum of triangle Angles at a point Overlapping angles Folded figure

13 P6.AP.NK.21060418

Level 3 PSLE
Figure 1 is a trapezium with a perimeter of 18 cm. Figure 2 is made up of four such trapeziums. The perimeter of Figure 2 is 48 cm. What is the length of the side GH of the trapezium?

2 m

Attempt

Length Composite figure perimeter Trapezium

14 P6.AN.NK.21060932

Level 3 PSLE
ABCD is a trapezium with AB parallel to DC. AFB and EFC are straight lines and AE = EB. ∠EBC = 94°.

Find ∠AFD.
Find ∠BFE.

3 m

Attempt

Angles sum of triangle Trapezium Exterior angle of a triangle Alternate angles

15 P6.AN.NK.17051712

Level 3
In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is ⁵₄ of ∠DCQ . Find ∠ADC.

3 m

Attempt

Square Trapezium Interior angles Fraction of a whole Units method

16 P6.AN.NK.17051719

Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.

3 m

Attempt

Isosceles triangle Trapezium Angles on a straight line Interior angles

17 P6.AN.NK.17081701

Level 3 PSLE
In the figure, EFGH is a trapezium. P is a point on EH such that PG = GH. ∠EFG = 62° and ∠FEP = 110°. Find LPGF.

3 m

Attempt

Isosceles triangle Trapezium Angles sum of triangle Interior angles

18 P6.AN.NK.17051705

Level 3
The figure is not drawn to scale. ACDE is a trapezium and AC//ED. Given that AE = AB, ∠EAB = 76° and ∠ACD = 100°.

Find ∠CDE.
Find ∠ABE.
Find ∠BED.

3 m

Attempt

Isosceles triangle Trapezium Alternate angles Interior angles

19 P6.AN.NK.17051733

Level 3
ABCD is a quadrilateral and OADC is a trapezium in which OA // DC and ∠BAD = 110°, ∠ADC = 124°, ∠BCD = 65° and DC = DA. Find

∠ABO
∠DAO
∠ACD.

3 m

Attempt

Trapezium Interior angles Sum of angles in a quadrilateral

20 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.