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MATHS MCQ

Polygons · ICSE STD 6 (ICSE - English Medium). 17 questions.

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17 questions · timed · auto-graded

MCQ 11 Mark
Five of the angles of a hexagon are $115^{\circ}$ each. The 6th angle is
  • A
    $130^{\circ}$
  • ✓
    $145^{\circ}$
  • C
    $160^{\circ}$
  • D
    $125^{\circ}$
Answer
Correct option: B.
$145^{\circ}$
(B) $145^{\circ}$
$\left.[\text {Hint: Sum of the angles }=\{2 \times 6-4) \times 90\}^{\circ}=720^{\circ}\right]$
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MCQ 21 Mark
The angles of a heptagon are $(x-5)^{\circ},(x+7)^{\circ},(5 x-6)^{\circ},(2 x+1)^{\circ},(x+8)^{\circ},(2 x+9)^{\circ}$ and $(3 x+1)^{\circ}$. The value of $x$ is
  • ✓
    59
  • B
    58
  • C
    60
  • D
    61
Answer
Correct option: A.
59
A
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MCQ 31 Mark
Each interior angle of a regular polygon of 18 sides, is
  • A
    $144^{\circ}$
  • ✓
    $160^{\circ}$
  • C
    $60^{\circ}$
  • D
    $120^{\circ}$
Answer
Correct option: B.
$160^{\circ}$
B
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MCQ 41 Mark
Each interior angle of a regular decagon is
  • A
    $124^{\circ}$
  • B
    $120^{\circ}$
  • ✓
    $144^{\circ}$
  • D
    $140^{\circ}$
Answer
Correct option: C.
$144^{\circ}$
(C) $144^{\circ}$
[Hint: Each exterior angle $=\frac{360^{\circ}}{10}=36^{\circ}$ So, each interior angle $\left.=\left(180^{\circ}-36^{\circ}\right)=144^{\circ}\right]$
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MCQ 51 Mark
If each exterior angle of a regular polygon is $36^{\circ}$, how many sides does it have?
  • A
    9
  • ✓
    10
  • C
    8
  • D
    12
Answer
Correct option: B.
10
B
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MCQ 61 Mark
If each interior angle of a regular polygon is $135^{\circ}$ how many sides does it have?
  • A
    6
  • B
    7
  • ✓
    8
  • D
    9
Answer
Correct option: C.
8
C
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MCQ 81 Mark
The region of a curve is its
  • A
    interior
  • B
    exterior
  • C
    boundary
  • ✓
    interior together with its boundary
Answer
Correct option: D.
interior together with its boundary
D
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MCQ 91 Mark
Each interior angle of a regular polygon is $150^{\circ}$. How many sides does it have?
  • A
    10
  • B
    11
  • ✓
    12
  • D
    8
Answer
Correct option: C.
12
C
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MCQ 121 Mark
Which of the following is incorrect for the given polygon?
Image
  • ✓
    Number of pairs of adjacent sides is 3.
  • B
    Number of vertices is 5.
  • C
    Both (a) and (b)
  • D
    Neither (a) nor (b)
Answer
Correct option: A.
Number of pairs of adjacent sides is 3.
A
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MCQ 161 Mark
Assertion (A) : In a polygon, exterior angle and the adjacent interior angle form a linear pair.
Reason (R) : For a polygon of n-sides, sum of the interior angles = (2n - 4) right angles
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
    Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: B.
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
B
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MCQ 171 Mark
Assertion (A) : A square is a regular polygon of 4-sides.
Reason (R) : A polygon having all sides equal and all angles equal is called a regular polygon.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: A.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
A
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