41 P6.AN.NK.17052209
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Rectangle Angles on a straight line Alternate angles Corresponding angles Interior angles Overlapping angles Folded figure
42 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
  1. ∠ABO
  2. ∠DAO
  3. ∠ACD.
3 m
Trapezium Interior angles Sum of angles in a quadrilateral
43 P6.AN.NK.17051722
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles Sum of angles in a quadrilateral
44 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle
45 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
Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle
46 P5.AN.JM.17083254
Level 3
In the figure, AC is parallel to ED and AF is parallel to BG. AFE is a straight line, ∠AFG = 96°. ∠FAB = 99° and the sum of ∠BCD and ∠DEF is 150°. Find
  1. ∠FGB
  2. ∠EDC
3 m
Interior angles Sum of angles in a quadrilateral
47 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
48 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
49 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
50 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
51 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
52 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
53 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
54 P5.AN.JM.17083170
Level 3
ABCD is a rhombus. BO = BE. Find
  1. ∠y
  2. ∠x
4 m
Rhombus Interior angles
55 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
56 P5.AN.JC.18011601
Level 3
Given the figure, find
  1. ∠z
  2. ∠y
  3. ∠x
4 m
Angles on a straight line Alternate angles Interior angles
57 P5.AN.JM.17083144
Level 3
The figure shows a parallelogram STUV and a triangle VXY. UVX and ZVY are straight lines. Find ∠XYV.
4 m
Triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
58 P5.AN.JM.17083176
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Square Parallelogram Trapezium Right angle Angles sum of triangle Interior angles
59 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
60 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
  1. ∠CFD,
  2. ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles

5 per page

10 per page

20 per page

Symbols

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