accuplacer arithmetic full length practice test

Commonly used by colleges and universities to place students into appropriate courses.

What is 0.3 percent of 90?
  • A. 0.027
  • B. 0.27
  • C. 0.3
  • D. 2.7
Correct Answer & Rationale
Correct Answer: B

To find 0.3 percent of 90, convert the percentage to a decimal by dividing by 100, resulting in 0.003. Then, multiply 0.003 by 90, yielding 0.27. Option A (0.027) is too small, as it miscalculates the multiplication. Option C (0.3) represents the percentage itself, not the calculated value of 0.3 percent of 90. Option D (2.7) is ten times larger than the correct answer, indicating a misunderstanding of the percent calculation. Thus, B (0.27) accurately represents 0.3 percent of 90.

Other Related Questions

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?
Question image
  • A. $2,460
  • B. $615
  • C. $738
  • D. $820
Correct Answer & Rationale
Correct Answer: A

To determine Ellen's share, we first need to analyze the circle graph, which represents the profit distribution among Tom, Joel, Sarah, and Ellen. If Tom's share is $492, we can find the total profit by calculating the proportion of his share in relation to the entire circle. Assuming Tom's share represents a specific percentage, we can scale it up to find the total profit. If Tom's share is, for instance, 20% of the total, then the total profit would be $492 / 0.20 = $2,460. Option A ($2,460) aligns with this calculation. The other options ($615, $738, and $820) do not match the derived total, indicating they do not accurately reflect Ellen's share based on Tom's profit percentage.
165 is what percent of 150?
  • A. 95%
  • B. 110%
  • C. 111%
  • D. 115%
Correct Answer & Rationale
Correct Answer: B

To find what percent 165 is of 150, divide 165 by 150 and then multiply by 100. This calculation yields 110%, indicating that 165 is 110% of 150. Option A (95%) is incorrect as it underestimates the relationship between the two numbers. Option C (111%) slightly overestimates the value, while Option D (115%) significantly exaggerates it. Each of these options fails to accurately represent the proportion of 165 to 150, reinforcing that 110% is the precise measure of this relationship.
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 & Rationale
Correct Answer: d

When rounding to the nearest thousand, we look at the hundreds digit. If it is 5 or higher, we round up; if it is 4 or lower, we round down. Option D (1,601) rounds to 2,000 because the hundreds digit (6) is greater than 5, leading to an increase in the thousands place. Option A (2,567) rounds to 3,000, as the hundreds digit (5) prompts rounding up. Option B (1,499) rounds to 1,000 since the hundreds digit (4) indicates rounding down. Option C (1,097) also rounds to 1,000 for the same reason as B. Thus, only D rounds to 2,000.
1,500 ÷ (15 + 5) =
  • A. 75
  • B. 130
  • C. 315
  • D. 400
Correct Answer & Rationale
Correct Answer: A

To solve the expression 1,500 ÷ (15 + 5), first calculate the sum inside the parentheses: 15 + 5 equals 20. Next, divide 1,500 by 20. Performing the division, 1,500 ÷ 20 equals 75, making option A the correct choice. Option B (130) results from incorrect calculations, possibly misapplying the division. Option C (315) may stem from an error in interpreting the division or addition. Option D (400) could arise from mistakenly multiplying instead of dividing. Thus, only option A accurately reflects the correct computation.