20 total questions (5 free)
2/3 (6 + 1/2) =
Correct Answer: A
Rationale: 6 + 1/2 = 13/2. Then 2/3 × 13/2 = 13/3 = 4 1/3, matching option A.
Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by
Rationale: x × 0.01 = x × 1/100 = x ÷ 100. Dividing by 100 matches option A.
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?
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 = Tom’s Share Tom’s Percentage = 492 0.10 = 4920 Total Profit= Tom’s Percentage Tom’s Share = 0.10 492 =4920 Find Ellen’s share Ellen has 50% of the total profit: Ellen’s Share = 0.50 × 4920 = 2460 Ellen’s Share=0.50×4920=2460
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?
Correct Answer: B
Rationale: Richard’s 17 books = 0.5 × Linda → Linda = 34. Susan = 34 - 8 = 26, matching option B.
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?
Rationale: Distance ∝ time. 12/48 = 1/4 of total distance, matching option A.
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