1. Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by
A. 100 Correct
B. 10
C. 1/10
D. 1/100
Explanation
x × 0.01 = x × 1/100 = x ÷ 100. Dividing by 100 matches option A.
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 Correct
B. $615
C. $738
D. $820
Explanation
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
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 Correct
C. 34
D. 42
Explanation
Richard’s 17 books = 0.5 × Linda → Linda = 34. Susan = 34 - 8 = 26, matching option B.
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 Correct
B. 1/3
C. 1/2
D. 3/4
Explanation
Distance ∠time. 12/48 = 1/4 of total distance, matching option A.
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
Explanation
Rounding: 1,601 → 2,000, matching option d.