EWT | Academic Question

Questions
Question (31)
QN0020242
The centre value of a 2 × 2 calendar grid is numerically equal to:
  • (A) Average of the four entries
  • (B) Smallest entry
  • (C) Largest entry
  • (D) Difference of corner entries

Correct Answer: A
Explanation:

The average equals the central value.

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Question (32)
QN0020243
If the average of the four entries in a 2 × 2 grid is 20, the top-left number is:
  • (A) 14
  • (B) 15
  • (C) 16
  • (D) 17

Correct Answer: C
Explanation:

a+4=20 ⇒ a=16.

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Question (33)
QN0020244
If the top-left entry is p, the average of the four entries is:
  • (A) p + 2
  • (B) p + 3
  • (C) p + 4
  • (D) p + 5

Correct Answer: C
Explanation:

Average = (4p+16)/4 = p+4.

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Question (34)
QN0020245
A 2 × 2 calendar grid has sum 124. Its top-left entry is:
  • (A) 25
  • (B) 26
  • (C) 27
  • (D) 28

Correct Answer: C
Explanation:

4a+16=124 ⇒ a=27.

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Question (35)
QN0020246
If the top-left number is 27, the bottom-left number is:
  • (A) 32
  • (B) 33
  • (C) 34
  • (D) 35

Correct Answer: C
Explanation:

27+7=34.

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Question (36)
QN0020247
If the top-left number is 27, the bottom-right number is:
  • (A) 34
  • (B) 35
  • (C) 36
  • (D) 37

Correct Answer: B
Explanation:

27+8=35.

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Question (37)
QN0020248
If the four numbers of a 2 × 2 calendar grid add to 140, the top-left number is:
  • (A) 29
  • (B) 30
  • (C) 31
  • (D) 32

Correct Answer: C
Explanation:

4a+16=140 ⇒ a=31.

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Question (38)
QN0020249
Calendar grids are useful because they help reveal:
  • (A) Random arrangements
  • (B) Algebraic patterns and relationships
  • (C) Measurement formulas only
  • (D) Geometrical constructions only

Correct Answer: B
Explanation:

Grids reveal number patterns and relationships.

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Question (39)
QN0020250
Which property of a calendar makes algebraic analysis possible?
  • (A) Dates increase in a regular pattern
  • (B) Dates are coloured differently
  • (C) Months have different names
  • (D) Calendars contain holidays

Correct Answer: A
Explanation:

The regular arrangement creates predictable patterns.

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Question (40)
QN0020251
The main idea behind Fun with Grids is to use algebra to:
  • (A) Explain patterns hidden in number arrangements
  • (B) Draw graphs
  • (C) Measure distances
  • (D) Perform statistical surveys

Correct Answer: A
Explanation:

Algebra helps explain hidden numerical patterns.

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