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Question (1)

QN0020092

Algebra Play begins with the use of algebra to explain:

(A) Geometry constructions
(B) Tricks and puzzles
(C) Graphs only
(D) Statistics

Correct Answer: B

Explanation:

The chapter introduces algebra through tricks and puzzles.

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Question (2)

QN0020093

In a ‘Think of a Number’ trick, the unknown starting number is usually represented by:

(A) 1
(B) n only
(C) x
(D) 0

Correct Answer: C

Explanation:

Algebra commonly uses x to represent an unknown number.

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Question (3)

QN0020094

In the trick: Think of a number, double it, add 4, divide by 2, subtract the original number. The final answer is always:

(A) 1
(B) 2
(C) 4
(D) Depends on the number

Correct Answer: B

Explanation:

Let the number be x. Then ((2x+4)/2)−x = 2.

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Question (4)

QN0020095

If the starting number in the above trick is 15, what is the final result?

(A) 15
(B) 4
(C) 2
(D) 0

Correct Answer: C

Explanation:

The trick always gives 2 regardless of the starting number.

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Question (5)

QN0020096

In the date trick, after multiplying the month M by 5 and adding 6, the expression becomes:

(A) 5M + 9
(B) 4M + 6
(C) 5M + 6
(D) 20M + 24

Correct Answer: C

Explanation:

Month M becomes 5M and then 6 is added.

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Question (6)

QN0020097

In the date trick, the final expression obtained before revealing the answer is:

(A) 100M + D
(B) 100M + 165 + D
(C) 20M + 33 + D
(D) 100M + 24 + D

Correct Answer: B

Explanation:

Following all steps gives 100M + 165 + D.

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Question (7)

QN0020098

A final answer of 1269 is obtained in the date trick. What was the date?

(A) 4 September
(B) 4 November
(C) 9 April
(D) 11 April

Correct Answer: A

Explanation:

1269 − 165 = 1104 = 100×11 + 4, so date is 4 November.

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Question (8)

QN0020099

In the date trick, a final answer of 394 corresponds to:

(A) 29 February
(B) 29 April
(C) 4 February
(D) 2 September

Correct Answer: A

Explanation:

394 − 165 = 229 = 100×2 + 29.

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Question (9)

QN0020100

A final answer of 296 is obtained in the date trick. What is the date?

(A) 31 January
(B) 31 March
(C) 31 December
(D) 31 July

Correct Answer: A

Explanation:

296 − 165 = 131 = 100×1 + 31.

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Question (10)

QN0020101

In a number pyramid, every box contains:

(A) Product of two boxes below
(B) Difference of two boxes below
(C) Sum of two boxes below
(D) Average of two boxes below

Correct Answer: C

Explanation:

Each box is the sum of the two boxes directly below it.

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Question (1)

Algebra Play begins with the use of algebra to explain:

Explanation:

Link:

Question (2)

In a ‘Think of a Number’ trick, the unknown starting number is usually represented by:

Explanation:

Link:

Question (3)

In the trick: Think of a number, double it, add 4, divide by 2, subtract the original number. The final answer is always:

Explanation:

Link:

Question (4)

If the starting number in the above trick is 15, what is the final result?

Explanation:

Link:

Question (5)

In the date trick, after multiplying the month M by 5 and adding 6, the expression becomes:

Explanation:

Link:

Question (6)

In the date trick, the final expression obtained before revealing the answer is:

Explanation:

Link:

Question (7)

A final answer of 1269 is obtained in the date trick. What was the date?

Explanation:

Link:

Question (8)

In the date trick, a final answer of 394 corresponds to:

Explanation:

Link:

Question (9)

A final answer of 296 is obtained in the date trick. What is the date?

Explanation:

Link:

Question (10)

In a number pyramid, every box contains:

Explanation:

Link:

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