ACCUPLACER Next Generation Arithmetic Version 6 Questions
5 questions
Review Mode
Exam Mode
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?
A. {1/4} Correct
B. {1/3}
C. {1/2}
D. {3/4}
Explanation
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.
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?
A. $246
B. $615
C. $738 Correct
D. $820
Explanation
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.
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?
A. 32
B. 36
C. 40
D. 42 Correct
Explanation
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.
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?
A. 0.8
B. 0.16
C. 0.24 Correct
D. 0.32
Explanation
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.
5. 3(100 - 10) - (20 - 5) What is the value of the expression?
A. 245
B. 255 Correct
C. 265
D. 275