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Question (31)

QN009408

Which identity helps in visualising factorisation using algebra tiles?

(A) Area model identities
(B) Division algorithm
(C) Linear equations
(D) Coordinate geometry

Correct Answer: A

Explanation:

Algebra tiles are based on area representations.

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Question (32)

QN009409

Factorise 4p 2 −q 2 .

(A) (2p−q) 2
(B) (2p+q)(2p−q)
(C) (4p−q)(p+q)
(D) (p−q) 2

Correct Answer: B

Explanation:

Use difference of squares identity.

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Question (33)

QN009410

Factorise x 2 +12x+36.

(A) (x+6) 2
(B) (x−6) 2
(C) (x+12) 2
(D) (x+3)(x+12)

Correct Answer: A

Explanation:

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Question (34)

QN009411

The expression 49a 2 −b 2 has factors

(A) (7a−b) 2
(B) (7a+b)(7a−b)
(C) (49a−b)(a+b)
(D) (7a+b) 2

Correct Answer: B

Explanation:

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Question (35)

QN009412

Factorise x 2 −14x+49.

(A) (x+7) 2
(B) (x−7) 2
(C) (x−14) 2
(D) (x−1)(x−49)

Correct Answer: B

Explanation:

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Question (36)

QN009413

Which expression is not a difference of squares?

(A) a 2 −49
(B) 81x 2 −y 2
(C) x 2 +16
(D) 25p 2 −36q 2

Correct Answer: C

Explanation:

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Question (37)

QN009414

Factorise 64m 2 −1.

(A) (8m−1) 2
(B) (8m+1)(8m−1)
(C) (64m−1)(m+1)
(D) (4m+1)(16m−1)

Correct Answer: B

Explanation:

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Question (38)

QN009415

Which identity was historically used in Indian mathematics for quick calculations?

(A) a 2 −b 2
(B) (a+b) 2
(C) (a−b) 2
(D) All of these

Correct Answer: D

Explanation:

All these identities were used in ancient calculations.

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Question (39)

QN009416

Factorise 144x 2 +24xy+y 2 .

(A) (12x+y) 2
(B) (12x−y) 2
(C) (144x+y) 2
(D) (6x+y) 2

Correct Answer: A

Explanation:

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Question (40)

QN009417

Which of the following is correctly factorised?

(A) x 2 −64=(x−8) 2
(B) x 2 −64=(x+8)(x−8)
(C) x 2 −64=(x−64)(x+1)
(D) x 2 −64=(x−4)(x+16)

Correct Answer: B

Explanation:

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Question (31)

Which identity helps in visualising factorisation using algebra tiles?

Explanation:

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Question (32)

Factorise 4p 2 −q 2 .

Explanation:

Link:

Question (33)

Factorise x 2 +12x+36.

Explanation:

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Question (34)

The expression 49a 2 −b 2 has factors

Explanation:

Link:

Question (35)

Factorise x 2 −14x+49.

Explanation:

Link:

Question (36)

Which expression is not a difference of squares?

Explanation:

Link:

Question (37)

Factorise 64m 2 −1.

Explanation:

Link:

Question (38)

Which identity was historically used in Indian mathematics for quick calculations?

Explanation:

Link:

Question (39)

Factorise 144x 2 +24xy+y 2 .

Explanation:

Link:

Question (40)

Which of the following is correctly factorised?

Explanation:

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