Questions

541 P5.AN.JM.17083165

Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.

4 m

Video Attempt

542 P6.AN.NK.17081614

Level 3 PSLE
In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.

Find ∠XYS.
Find ∠XWY.

4 m

Attempt

Parallelogram Angles on a straight line Angles sum of triangle Angles at a point Interior angles

543 P5.AP.JM.17083162

Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is ²₅ of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm². Find the area of the unshaded triangles.

4 m

Attempt

Rectangle Triangle Triangle common base Fraction to units More than or less than

544 P5.AN.JM.17083152

Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find

∠CFD,
∠DCF.

4 m

Attempt

Isosceles triangle Parallelogram Angles on a straight line Interior angles

545 P6.AN.NK.17051716

Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .

4 m

Attempt

Equilateral triangle Isosceles triangle Parallelogram Corresponding angles Interior angles Times as many

546 P5.AN.JM.17083183

Level 3
ABCD is a parallelogram. ADE and BFE are straight lines. Find the values of

∠t
∠w
∠v
∠u

4 m

Attempt

Isosceles triangle Parallelogram Alternate angles Interior angles

547 P5.AP.NK.23102502

Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.

Find the area of the rectangular piece of paper.
Find the total area of X, Y and Z in Figure B.

4 m

Attempt

Length Rectangle Triangle Composite figure area Folded figure

548 P5.AN.JM.17083151

Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find

∠ADC,
∠GAD.

4 m

Video Attempt

Parallelogram Angles sum of triangle Alternate angles Interior angles

549 P6.AN.NK.17052213

Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c

4 m

Attempt

Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure

550 P5.AN.JM.17083173

Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.

4 m

Video Attempt

Isosceles triangle Rhombus Angles sum of triangle Corresponding angles

551 P6.AN.RA.17081802

Level 3 PSLE
In the figure, XYZ is a triangle. P, R and S are points on the triangle such that XP = XR and SZ = PZ. If ∠XPR = 104°and ∠SPZ = 123°, find ∠RYS.

4 m

Video Attempt

Isosceles triangle Angles on a straight line Angles sum of triangle Overlapping angles

552 P5.AN.JM.17083181

Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of

∠x
∠y

4 m

Attempt

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

553 P6.AN.NK.17052210

Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.

4 m

Attempt

Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure

554 P6.AP.TL.17090825

Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = ²²₇)

4 m

Attempt

Square Triangle Circle Composite figure area

555 P6.AP.TL.17090826

Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)

4 m

Attempt

Triangle Semicircle Composite figure area D Place values D Round off

556 P5.AN.JM.17083194

Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.

4 m

Attempt

Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure

557 P6.AN.NK.17051742

Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?

4 m

Attempt

Angles on a straight line Exterior angle of a triangle Sum of angles in a quadrilateral

558 P6.AP.TL.17090828

Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = ²²₇)