EWT | Academic Question

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Question (11)
QN009388
Which factorisation is correct?
  • (A) 25a 2 −1=(25a−1)(a+1)
  • (B) 25a 2 −1=(5a−1) 2
  • (C) 25a 2 −1=(5a+1)(5a−1)
  • (D) 25a 2 −1=(25a+1)(a−1)

Correct Answer: C
Explanation:

Difference of squares formula is used.

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Question (12)
QN009389
Factorise 4x 2 +12xy+9y 2 .
  • (A) (2x+3y) 2
  • (B) (2x−3y) 2
  • (C) (4x+9y) 2
  • (D) (x+3y) 2

Correct Answer: A
Explanation:

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Question (13)
QN009390
Which of the following cannot be factorised using identities directly?
  • (A) a 2 −36
  • (B) x 2 +10x+25
  • (C) 9m 2 −24mn+16n 2
  • (D) x 2 +7x+10

Correct Answer: D
Explanation:

It is not a perfect square or difference of squares.

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Question (14)
QN009391
Factorise 81y 2 −49.
  • (A) (9y−7) 2
  • (B) (9y+7)(9y−7)
  • (C) (81y−49)(y+1)
  • (D) (9y+49)(9y−49)

Correct Answer: B
Explanation:

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Question (15)
QN009392
Which term is twice the product of a and b in (a+b) 2 ?
  • (A) a 2
  • (B) b 2
  • (C) 2ab
  • (D) a+b

Correct Answer: C
Explanation:

Middle term in the expansion is 2ab.

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Question (16)
QN009393
Factorise 121p 2 −22pq+q 2 .
  • (A) (11p+q) 2
  • (B) (11p−q) 2
  • (C) (121p−q) 2
  • (D) (11p−q)(11p+q)

Correct Answer: B
Explanation:

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Question (17)
QN009394
Which identity is represented by a square divided into four regions?
  • (A) (a+b) 2
  • (B) a 2 −b 2
  • (C) (a−b) 2
  • (D) a 3 +b 3

Correct Answer: A
Explanation:

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Question (18)
QN009395
Factorise 100−4x 2 .
  • (A) (10−2x) 2
  • (B) (5−x)(5+x)
  • (C) 4(5−x)(5+x)
  • (D) (10+x)(10−x)

Correct Answer: C
Explanation:

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Question (19)
QN009396
Factorise 36m 2 +60mn+25n 2 .
  • (A) (6m+5n) 2
  • (B) (6m−5n) 2
  • (C) (36m+25n) 2
  • (D) (3m+5n) 2

Correct Answer: A
Explanation:

This is a perfect square trinomial.

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Question (20)
QN009397
The expression a 2 −2ab+b 2 is equal to
  • (A) (a+b) 2
  • (B) (a−b) 2
  • (C) (a+b)(a−b)
  • (D) (a 2 −b 2 )

Correct Answer: B
Explanation:

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