261 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
262 P6.AN.NK.21060919
Level 2
In the figure, ABCD is a parallelogram and EA = EB.
  1. Find ∠y.
  2. Find ∠z.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
263 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
264 P6.AP.TL.17090820
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
4 m
Square Square & square root Right-angled triangle Circumference Circle area Composite figure area
265 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles
266 P6.AN.NK.17051758
Level 3
ABEF is a parallelogram. DF, DG, AF and BE are straight lines. AB = AG. Find ∠BGC.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Interior angles
267 P6.AP.TL.17090821
Level 3
The figure is not drawn to scale. A, B and C are radii of 21 cm long. Find the area of the shaded part. (Take π = 227)
4 m
Triangle Semicircle
268 P6.AN.NK.17051732
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m
Angles on a straight line Angles sum of triangle Alternate angles Corresponding angles Interior angles
269 P6.AP.TL.17090822
Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)
4 m
Equilateral triangle Circumference Semicircle
270 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°.
  1. Find ∠XYS.
  2. Find ∠XWY.
4 m
Parallelogram Angles on a straight line Angles sum of triangle Angles at a point Interior angles
271 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
Equilateral triangle Isosceles triangle Parallelogram Corresponding angles Interior angles Times as many
272 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.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Length Rectangle Triangle Composite figure area Folded figure
273 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
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
274 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
Isosceles triangle Angles on a straight line Angles sum of triangle Overlapping angles
275 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
Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure
276 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
Angles on a straight line Exterior angle of a triangle Sum of angles in a quadrilateral
277 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
Square Triangle Circle Composite figure area
278 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
Triangle Semicircle Composite figure area D Place values D Round off
279 P6.AN.NK.17051747
Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
  1. ∠BCG
  2. the sum of ∠BHE, ∠CYE and ∠EZG.
4 m
Triangle Parallelogram Vertically opposite angles Interior angles Sum of angles in a quadrilateral
280 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method

5 per page

10 per page

20 per page

Symbols

x2
x3
₵
$
⊥
//
∠
°
π
%
:
\[ \]
STUDENT
Navigations
Contact Us
Members
Links