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Question (31)

QN0020162

A final answer of 1390 is reported. After subtracting 165, the result is:

(A) 1220
(B) 1225
(C) 1235
(D) 1245

Correct Answer: B

Explanation:

1390 − 165 = 1225.

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Question (32)

QN0020163

A final answer of 1390 corresponds to which date?

(A) 12 January
(B) 25 December
(C) 22 May
(D) 15 February

Correct Answer: B

Explanation:

1225 = 100×12 + 25, so the date is 25 December.

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Question (33)

QN0020164

If the month is March (3) and the day is 10, the final answer in the date trick is:

(A) 465
(B) 475
(C) 480
(D) 490

Correct Answer: B

Explanation:

100×3 + 165 + 10 = 475.

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Question (34)

QN0020165

If the month is July (7) and the day is 15, the final answer is:

(A) 880
(B) 875
(C) 870
(D) 865

Correct Answer: A

Explanation:

100×7 + 165 + 15 = 880.

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Question (35)

QN0020166

If the month is October (10) and the day is 8, the final answer is:

(A) 1173
(B) 1170
(C) 1165
(D) 1180

Correct Answer: A

Explanation:

100×10 + 165 + 8 = 1173.

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Question (36)

QN0020167

Which feature makes both tricks examples of algebraic thinking?

(A) They rely on guessing
(B) They can be explained using variables and expressions
(C) They require calculators
(D) They work only for positive integers

Correct Answer: B

Explanation:

Variables and algebraic expressions explain why the tricks work.

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Question (37)

QN0020168

The purpose of using algebra in these tricks is to:

(A) Hide the answer
(B) Justify why the trick always works
(C) Avoid arithmetic
(D) Memorize formulas

Correct Answer: B

Explanation:

Algebra provides a logical justification.

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Question (38)

QN0020169

If a trick always produces the same final value regardless of the starting number, it demonstrates:

(A) A coincidence
(B) A pattern explained by algebra
(C) A measurement error
(D) A probability experiment

Correct Answer: B

Explanation:

Algebra shows why the pattern is always true.

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Question (39)

QN0020170

Which of the following could be changed to create a new “Think of a Number” trick?

(A) The operations performed
(B) The constants added or subtracted
(C) The order of operations
(D) All of these

Correct Answer: D

Explanation:

Any of these changes can create a new trick.

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Question (40)

QN0020171

The main idea behind ‘Think of a Number’ tricks is that algebra can be used to:

(A) Analyse and create mathematical tricks
(B) Draw graphs only
(C) Solve geometry constructions only
(D) Measure lengths accurately

Correct Answer: A

Explanation:

Algebra helps analyse, explain and invent number tricks.

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Question (31)

A final answer of 1390 is reported. After subtracting 165, the result is:

Explanation:

Link:

Question (32)

A final answer of 1390 corresponds to which date?

Explanation:

Link:

Question (33)

If the month is March (3) and the day is 10, the final answer in the date trick is:

Explanation:

Link:

Question (34)

If the month is July (7) and the day is 15, the final answer is:

Explanation:

Link:

Question (35)

If the month is October (10) and the day is 8, the final answer is:

Explanation:

Link:

Question (36)

Which feature makes both tricks examples of algebraic thinking?

Explanation:

Link:

Question (37)

The purpose of using algebra in these tricks is to:

Explanation:

Link:

Question (38)

If a trick always produces the same final value regardless of the starting number, it demonstrates:

Explanation:

Link:

Question (39)

Which of the following could be changed to create a new “Think of a Number” trick?

Explanation:

Link:

Question (40)

The main idea behind ‘Think of a Number’ tricks is that algebra can be used to:

Explanation:

Link:

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