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Question (21)

QN0019552

A square has area 40 cm². After halving its area, the new area becomes:

(A) 10 cm²
(B) 15 cm²
(C) 20 cm²
(D) 30 cm²

Correct Answer: C

Explanation:

40 ÷ 2 = 20 cm².

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Question (22)

QN0019553

In the folding activity, joining the crease intersections forms:

(A) A rectangle
(B) A rhombus
(C) A square
(D) A kite

Correct Answer: C

Explanation:

The points of intersection form the square PQRS.

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Question (23)

QN0019554

If a square has area 84 cm², its half-area square has area:

(A) 21 cm²
(B) 42 cm²
(C) 63 cm²
(D) 168 cm²

Correct Answer: B

Explanation:

84 ÷ 2 = 42 cm².

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Question (24)

QN0019555

Which mathematical idea is used to justify that PQRS is a square?

(A) Probability
(B) Triangle congruence
(C) Statistics
(D) Linear equations

Correct Answer: B

Explanation:

Triangle congruence helps establish equal sides and right angles.

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Question (25)

QN0019556

A square of area 96 cm² is halved. What is the area of the resulting square?

(A) 24 cm²
(B) 36 cm²
(C) 48 cm²
(D) 72 cm²

Correct Answer: C

Explanation:

96 ÷ 2 = 48 cm².

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Question (26)

QN0019557

If the area of the half-area square is 45 cm², what is the area of the original square?

(A) 60 cm²
(B) 75 cm²
(C) 90 cm²
(D) 120 cm²

Correct Answer: C

Explanation:

The original area is twice the half-area square: 45 × 2 = 90 cm².

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Question (27)

QN0019558

The vertices of the inner square in the folding activity lie on the:

(A) Diagonals only
(B) Midpoints of the sides
(C) Corners only
(D) Exterior region

Correct Answer: B

Explanation:

The inner square is formed by joining the midpoints of the sides.

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Question (28)

QN0019559

A square of area 128 cm² is transformed into a half-area square. The new area is:

(A) 32 cm²
(B) 48 cm²
(C) 64 cm²
(D) 96 cm²

Correct Answer: C

Explanation:

128 ÷ 2 = 64 cm².

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Question (29)

QN0019560

Two identical half-area squares together have area equal to:

(A) Half of the original square
(B) The original square
(C) Double the original square
(D) Four times the original square

Correct Answer: B

Explanation:

Each square has half the original area, so two together equal the original.

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Question (30)

QN0019561

If a square of area 60 cm² is halved twice successively, the final area is:

(A) 10 cm²
(B) 15 cm²
(C) 20 cm²
(D) 30 cm²

Correct Answer: B

Explanation:

60 → 30 → 15 cm².

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Question (21)

A square has area 40 cm². After halving its area, the new area becomes:

Explanation:

Link:

Question (22)

In the folding activity, joining the crease intersections forms:

Explanation:

Link:

Question (23)

If a square has area 84 cm², its half-area square has area:

Explanation:

Link:

Question (24)

Which mathematical idea is used to justify that PQRS is a square?

Explanation:

Link:

Question (25)

A square of area 96 cm² is halved. What is the area of the resulting square?

Explanation:

Link:

Question (26)

If the area of the half-area square is 45 cm², what is the area of the original square?

Explanation:

Link:

Question (27)

The vertices of the inner square in the folding activity lie on the:

Explanation:

Link:

Question (28)

A square of area 128 cm² is transformed into a half-area square. The new area is:

Explanation:

Link:

Question (29)

Two identical half-area squares together have area equal to:

Explanation:

Link:

Question (30)

If a square of area 60 cm² is halved twice successively, the final area is:

Explanation:

Link:

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