Sample Questions

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Exam Questions

Question 1
Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by
A. 100
B. 10
C. 1/10
D. 1/100
Correct Answer: A
Rationale: x × 0.01 = x × 1/100 = x ÷ 100. Dividing by 100 matches option A.
Question 2
Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph above. If Tom's share of the profits was $492, what was Ellen's share?
A. $2,460
B. $615
C. $738
D. $820
Correct Answer: A
Rationale: Identify Tom’s percentage from the chart The circle graph shows: Tom = 10% Ellen = 50% Sarah = 25% Joel = 15% Relate Tom’s percentage to his profit Tom’s 10% share is worth $492. Find the total profit Since 10% corresponds to $492: Total Profit = 492 / 0.10 = 4920 Find Ellen’s share Ellen has 50% of the total profit: Ellen’s Share = 0.50 × 4920 = 2460
Question 3
Linda has borrowed 8 more books than Susan from the school library. Richard has borrowed half as many books as Linda has. If Richard has borrowed 17 books from the library, how many books has Susan borrowed?
A. 25
B. 26
C. 34
D. 42
Correct Answer: B
Rationale: Richard’s 17 books = 0.5 × Linda → Linda = 34. Susan = 34 - 8 = 26, matching option B.
Question 4
Harriet took 48 minutes to ride her bike the distance from her house to the town library. If she rode at a constant rate, what fraction of the total distance did she ride in the first 12 minutes?
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Correct Answer: A
Rationale: Distance ∝ time. 12/48 = 1/4 of total distance, matching option A.
Question 5
Which of the following integers, when rounded to the nearest thousand, results in 2,000?
A. 2,567
B. 1,499
C. 1,097
D. 1,601
Correct Answer: d
Rationale: Rounding: 1,601 → 2,000, matching option d.