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Question (1)

QN0026606

A circular garden has radius 14 m. A path of width 7 m is built around it. The area of the path is:

(A) 462 m²
(B) 770 m²
(C) 924 m²
(D) 1078 m²

Correct Answer: B

Explanation:

Outer radius = 21 m. Area of path = π(21² − 14²) = 770 m².

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Question (2)

QN0026607

The perimeter of a semicircle of radius 7 cm is:

(A) 22 cm
(B) 36 cm
(C) 44 cm
(D) 58 cm

Correct Answer: B

Explanation:

Perimeter = πr + 2r = 22 + 14 = 36 cm.

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Question (3)

QN0026608

A rectangle measuring 18 cm × 8 cm is transformed into a square of equal area. The perimeter of the square is:

(A) 40 cm
(B) 44 cm
(C) 48 cm
(D) 52 cm

Correct Answer: C

Explanation:

Area = 144 cm², side = 12 cm, perimeter = 48 cm.

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Question (4)

QN0026609

The area of a parallelogram with base 15 cm and height 12 cm is:

(A) 150 cm²
(B) 160 cm²
(C) 170 cm²
(D) 180 cm²

Correct Answer: D

Explanation:

Area = base × height = 15 × 12 = 180 cm².

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Question (5)

QN0026610

Which quantity remains unchanged when a rectangle is squared?

(A) Perimeter
(B) Area
(C) Length
(D) Breadth

Correct Answer: B

Explanation:

Area remains unchanged while squaring a rectangle.

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Question (6)

QN0026611

The circumference of a wheel is 154 cm. Using π = 22/7, its radius is:

(A) 21 cm
(B) 24.5 cm
(C) 28 cm
(D) 35 cm

Correct Answer: B

Explanation:

2πr = 154 ⇒ r = 24.5 cm.

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Question (7)

QN0026612

A sector subtends an angle of 120° at the centre of a circle of radius 21 cm. The arc length is:

(A) 22 cm
(B) 44 cm
(C) 66 cm
(D) 88 cm

Correct Answer: B

Explanation:

Arc length = (120/360) × 2π × 21 = 44 cm.

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Question (8)

QN0026613

The area of a triangle with base 16 cm and height 9 cm is:

(A) 54 cm²
(B) 64 cm²
(C) 72 cm²
(D) 144 cm²

Correct Answer: C

Explanation:

Area = 1/2 × 16 × 9 = 72 cm².

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Question (9)

QN0026614

If the radius of a circle is tripled, its circumference becomes:

(A) Double
(B) Triple
(C) Six times
(D) Nine times

Correct Answer: B

Explanation:

Circumference is directly proportional to radius.

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Question (10)

QN0026615

A circular track has radius 35 m. Distance covered in 3 complete rounds is:

(A) 330 m
(B) 440 m
(C) 550 m
(D) 660 m

Correct Answer: D

Explanation:

Circumference = 220 m, so distance in 3 rounds = 660 m.

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Question (1)

A circular garden has radius 14 m. A path of width 7 m is built around it. The area of the path is:

Explanation:

Link:

Question (2)

The perimeter of a semicircle of radius 7 cm is:

Explanation:

Link:

Question (3)

A rectangle measuring 18 cm × 8 cm is transformed into a square of equal area. The perimeter of the square is:

Explanation:

Link:

Question (4)

The area of a parallelogram with base 15 cm and height 12 cm is:

Explanation:

Link:

Question (5)

Which quantity remains unchanged when a rectangle is squared?

Explanation:

Link:

Question (6)

The circumference of a wheel is 154 cm. Using π = 22/7, its radius is:

Explanation:

Link:

Question (7)

A sector subtends an angle of 120° at the centre of a circle of radius 21 cm. The arc length is:

Explanation:

Link:

Question (8)

The area of a triangle with base 16 cm and height 9 cm is:

Explanation:

Link:

Question (9)

If the radius of a circle is tripled, its circumference becomes:

Explanation:

Link:

Question (10)

A circular track has radius 35 m. Distance covered in 3 complete rounds is:

Explanation:

Link:

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