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Question (31)

QN0019562

A square of area 144 cm² is halved once. The resulting area is:

(A) 36 cm²
(B) 48 cm²
(C) 72 cm²
(D) 96 cm²

Correct Answer: C

Explanation:

144 ÷ 2 = 72 cm².

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Question (32)

QN0019563

Which figure is obtained by connecting the midpoints of all sides of a square?

(A) Rectangle
(B) Square
(C) Pentagon
(D) Hexagon

Correct Answer: B

Explanation:

Connecting the midpoints forms a smaller square.

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Question (33)

QN0019564

A square with area 52 cm² is halved. What is the new area?

(A) 13 cm²
(B) 26 cm²
(C) 39 cm²
(D) 104 cm²

Correct Answer: B

Explanation:

52 ÷ 2 = 26 cm².

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Question (34)

QN0019565

Which statement is true about the square PQRS formed in the activity?

(A) It has double the area of the original square.
(B) It has half the area of the original square.
(C) It has the same area as the original square.
(D) Its area cannot be determined.

Correct Answer: B

Explanation:

PQRS is the required square having half the area.

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Question (35)

QN0019566

If a square of area 320 cm² undergoes one halving operation, the new area is:

(A) 80 cm²
(B) 120 cm²
(C) 160 cm²
(D) 240 cm²

Correct Answer: C

Explanation:

320 ÷ 2 = 160 cm².

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Question (36)

QN0019567

The crease lines in the paper activity intersect to help form a:

(A) Triangle
(B) Circle
(C) Square
(D) Trapezium

Correct Answer: C

Explanation:

The intersecting creases define the square PQRS.

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Question (37)

QN0019568

A square has area 112 cm². After halving, the new square has area:

(A) 28 cm²
(B) 56 cm²
(C) 84 cm²
(D) 224 cm²

Correct Answer: B

Explanation:

112 ÷ 2 = 56 cm².

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Question (38)

QN0019569

If a square of area x is halved three times successively, the final area becomes:

(A) x/2
(B) x/4
(C) x/8
(D) x/16

Correct Answer: C

Explanation:

Three halvings divide the area by 2³ = 8.

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Question (39)

QN0019570

A square of area 400 cm² is reduced to half its area. The area removed is:

(A) 100 cm²
(B) 150 cm²
(C) 200 cm²
(D) 300 cm²

Correct Answer: C

Explanation:

Half of 400 cm² is removed, i.e., 200 cm².

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Question (40)

QN0019571

Which fact best explains why the inner figure PQRS is a square?

(A) All sides are curved.
(B) Opposite sides are unequal.
(C) Triangle congruence shows equal sides and right angles.
(D) Its perimeter is half of the original square.

Correct Answer: C

Explanation:

Triangle congruence establishes equal sides and right angles, proving PQRS is a square.

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Question (31)

A square of area 144 cm² is halved once. The resulting area is:

Explanation:

Link:

Question (32)

Which figure is obtained by connecting the midpoints of all sides of a square?

Explanation:

Link:

Question (33)

A square with area 52 cm² is halved. What is the new area?

Explanation:

Link:

Question (34)

Which statement is true about the square PQRS formed in the activity?

Explanation:

Link:

Question (35)

If a square of area 320 cm² undergoes one halving operation, the new area is:

Explanation:

Link:

Question (36)

The crease lines in the paper activity intersect to help form a:

Explanation:

Link:

Question (37)

A square has area 112 cm². After halving, the new square has area:

Explanation:

Link:

Question (38)

If a square of area x is halved three times successively, the final area becomes:

Explanation:

Link:

Question (39)

A square of area 400 cm² is reduced to half its area. The area removed is:

Explanation:

Link:

Question (40)

Which fact best explains why the inner figure PQRS is a square?

Explanation:

Link:

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