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Question (1)

QN0019532

A square is halved by reversing the construction used in doubling a square. Which figure is formed inside the original square?

(A) Rectangle
(B) Circle
(C) Smaller tilted square
(D) Triangle

Correct Answer: C

Explanation:

The reverse of doubling forms a tilted square inside the original square.

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Question (2)

QN0019533

In the halving construction, the inside square has what fraction of the area of the original square?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3

Correct Answer: C

Explanation:

The inside square has half the area of the original square.

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Question (3)

QN0019534

Which method is suggested to create a square of half the area using paper?

(A) Rolling
(B) Folding through side midpoints
(C) Tearing randomly
(D) Cutting diagonally only

Correct Answer: B

Explanation:

The paper is folded so that crease lines pass through the midpoints of the sides.

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Question (4)

QN0019535

If a square has area 64 cm², the area of the square obtained by halving is:

(A) 16 cm²
(B) 24 cm²
(C) 32 cm²
(D) 48 cm²

Correct Answer: C

Explanation:

Half of 64 cm² is 32 cm².

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Question (5)

QN0019536

A square of area 98 m² is transformed into a square of half the area. The new area is:

(A) 39 m²
(B) 49 m²
(C) 59 m²
(D) 69 m²

Correct Answer: B

Explanation:

98 ÷ 2 = 49 m².

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Question (6)

QN0019537

In the paper-folding activity, the crease lines pass through the:

(A) Vertices of the square
(B) Centre only
(C) Midpoints of the sides
(D) Diagonals only

Correct Answer: C

Explanation:

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Question (7)

QN0019538

The square formed by joining the midpoints of the sides of a square has area equal to:

(A) One-fourth of the original
(B) Half of the original
(C) Double the original
(D) Four times the original

Correct Answer: B

Explanation:

The midpoint square has half the area of the original square.

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Question (8)

QN0019539

Which labelled figure in the activity represents the required half-area square?

(A) ABCD
(B) WXYZ
(C) PQRS
(D) LMNO

Correct Answer: C

Explanation:

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Question (9)

QN0019540

A square has area 72 cm². What is the area of the square with half the area?

(A) 18 cm²
(B) 24 cm²
(C) 36 cm²
(D) 48 cm²

Correct Answer: C

Explanation:

72 ÷ 2 = 36 cm².

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Question (10)

QN0019541

Which statement exactly describes the goal of halving a square?

(A) Construct a square with double the perimeter.
(B) Construct a square whose area is half that of the original square.
(C) Construct a square with half the side length.
(D) Construct a rectangle of equal area.

Correct Answer: B

Explanation:

This is the exact objective of halving a square.

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Question (1)

A square is halved by reversing the construction used in doubling a square. Which figure is formed inside the original square?

Explanation:

Link:

Question (2)

In the halving construction, the inside square has what fraction of the area of the original square?

Explanation:

Link:

Question (3)

Which method is suggested to create a square of half the area using paper?

Explanation:

Link:

Question (4)

If a square has area 64 cm², the area of the square obtained by halving is:

Explanation:

Link:

Question (5)

A square of area 98 m² is transformed into a square of half the area. The new area is:

Explanation:

Link:

Question (6)

In the paper-folding activity, the crease lines pass through the:

Explanation:

Link:

Question (7)

The square formed by joining the midpoints of the sides of a square has area equal to:

Explanation:

Link:

Question (8)

Which labelled figure in the activity represents the required half-area square?

Explanation:

Link:

Question (9)

A square has area 72 cm². What is the area of the square with half the area?

Explanation:

Link:

Question (10)

Which statement exactly describes the goal of halving a square?

Explanation:

Link:

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