EWT | Academic Question

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Question (31)
QN0015537
The simplified form of l + b + l + b is:
  • (A) 2lb
  • (B) 2l + 2b
  • (C) l² + b²
  • (D) 4lb

Correct Answer: B
Explanation:

Combine like terms.

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Question (32)
QN0015538
If l = 12 and b = 8, the perimeter of the rectangle is:
  • (A) 20
  • (B) 40
  • (C) 96
  • (D) 192

Correct Answer: B
Explanation:

2 × 12 + 2 × 8 = 40.

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Question (33)
QN0015539
Which pair consists of like terms?
  • (A) 18c and 11d
  • (B) 5x and 5y
  • (C) 12n and –4n
  • (D) 7a and 7b

Correct Answer: C
Explanation:

Like terms have the same variable.

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Question (34)
QN0015540
Simplify: 5c + 3c + 10c
  • (A) 18
  • (B) 18c
  • (C) 15c
  • (D) 8c

Correct Answer: B
Explanation:

(5 + 3 + 10)c = 18c.

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Question (35)
QN0015541
Simplify: 12n – 4n
  • (A) 48n
  • (B) 8
  • (C) 8n
  • (D) 16n

Correct Answer: C
Explanation:

(12 – 4)n = 8n.

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Question (36)
QN0015542
A pattern repeats as A, B, C, A, B, C, ... The position of the nth occurrence of C is:
  • (A) 3n – 2
  • (B) 3n – 1
  • (C) 3n
  • (D) n + 3

Correct Answer: C
Explanation:

C appears at multiples of 3.

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Question (37)
QN0015543
In the same repeating pattern, the position of the nth occurrence of B is:
  • (A) 3n – 1
  • (B) 3n
  • (C) 3n + 1
  • (D) 3n – 2

Correct Answer: A
Explanation:

B appears one position before C.

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Question (38)
QN0015544
In the same pattern, the position of the nth occurrence of A is:
  • (A) 3n
  • (B) 3n – 1
  • (C) 3n + 1
  • (D) 3n – 2

Correct Answer: D
Explanation:

A appears two positions before C.

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Question (39)
QN0015545
Design A, B, C repeat in order. Which design appears at position 122?
  • (A) A
  • (B) B
  • (C) C
  • (D) Cannot be determined

Correct Answer: A
Explanation:

122 ÷ 3 leaves remainder 2, so Design A appears.

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Question (40)
QN0015546
Which statement best explains why letter-numbers are useful in mathematics?
  • (A) They replace arithmetic completely.
  • (B) They allow general relationships and patterns to be written concisely.
  • (C) They are used only for geometry.
  • (D) They make calculations unnecessary.

Correct Answer: B
Explanation:

Letter-numbers help express general patterns and relationships.

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