ACCUPLACER Next Generation Arithmetic Version 6
Practice exam for Accuplacer under College Placement Exams (College Exams). 5 sample questions.
Sample Questions
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Question 1
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?
Correct Answer: A
Rationale: Step 1: The total time Harriet took to ride the distance is 48 minutes. Step 2: The time for the first part of the ride is 12 minutes. Step 3: Since she rode at a constant rate, the fraction of the distance is the ratio of the times, 12/48. Step 4: Simplify 12/48 to 1/4, which represents the fraction of the distance covered in the first 12 minutes.
Rationale: Step 1: The total time Harriet took to ride the distance is 48 minutes. Step 2: The time for the first part of the ride is 12 minutes. Step 3: Since she rode at a constant rate, the fraction of the distance is the ratio of the times, 12/48. Step 4: Simplify 12/48 to 1/4, which represents the fraction of the distance covered in the first 12 minutes.
Question 2
Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph. If Tom's share of the profits was $492, what was Ellen's share?
Correct Answer: C
Rationale: Step 1: From the circle graph, Tom's share is 20% of the total profits. Step 2: Calculate the total profits: $492 / 0.2 = $2460. Step 3: From the graph, Ellen's share is 30% of the total. Step 4: Compute Ellen's share: 0.3 * $2460 = $738.
Rationale: Step 1: From the circle graph, Tom's share is 20% of the total profits. Step 2: Calculate the total profits: $492 / 0.2 = $2460. Step 3: From the graph, Ellen's share is 30% of the total. Step 4: Compute Ellen's share: 0.3 * $2460 = $738.
Question 3
Alexia bought a book that is 252 pages long. She read the book in 3 days. The first day, she read 1/2 of the book's pages; the second day, she read 1/3 of the book's pages; and the third day, she read all the remaining pages. How many pages did Alexia read(he third day?
Correct Answer: D
Rationale: Step 1: First day pages: 1/2 * 252 = 126. Step 2: Second day pages: 1/3 * 252 = 84. Step 3: Total pages read: 126 + 84 = 210. Step 4: Third day pages: 252 - 210 = 42.
Rationale: Step 1: First day pages: 1/2 * 252 = 126. Step 2: Second day pages: 1/3 * 252 = 84. Step 3: Total pages read: 126 + 84 = 210. Step 4: Third day pages: 252 - 210 = 42.
Question 4
The large square has area 1 and is divided into 25 squares of equal area. Which of the following represents the area of the shaded region?
Correct Answer: C
Rationale: Step 1: The large square's area is 1, divided into 25 equal squares, so each small square's area is 1/25 = 0.04. Step 2: Assume 6 small squares are shaded based on the provided options. Step 3: Shaded area: 6 * 0.04 = 0.24. Step 4: The value 0.24 matches the correct option.
Rationale: Step 1: The large square's area is 1, divided into 25 equal squares, so each small square's area is 1/25 = 0.04. Step 2: Assume 6 small squares are shaded based on the provided options. Step 3: Shaded area: 6 * 0.04 = 0.24. Step 4: The value 0.24 matches the correct option.
Question 5
3(100 - 10) - (20 - 5) What is the value of the expression?
Correct Answer: B
Rationale: Step 1: Inside parentheses: 100 - 10 = 90 and 20 - 5 = 15. Step 2: Multiply: 3 * 90 = 270. Step 3: Subtract: 270 - 15 = 255. Step 4: The result matches option B.
Rationale: Step 1: Inside parentheses: 100 - 10 = 90 and 20 - 5 = 15. Step 2: Multiply: 3 * 90 = 270. Step 3: Subtract: 270 - 15 = 255. Step 4: The result matches option B.