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Free Accuplacer Arithmetic Practice Test

18 total questions (5 free)

Question 1 of 5

Alexia, Bob, and Comelia recorded the number of pages of books they read last month. Alexia read 135 pages, Bob read 26 pages less than Alexia, and Comelia read 3 and one-half times more pages than Alexia and Bob combined. Which of the following represents the total number of pages that Alexia, Bob, and Comelia read last month?

Correct Answer: C

Rationale: Bob’s pages: 135 - 26 = 109. Alexia + Bob: 135 + 109 = 244. Comelia: 3.5 × 244 = 854. Total: 135 + 109 + 854 = 1098. Option C, 4.5[2(135) - 26] = 4.5 × 244 = 1098, matches.

Question 2 of 5

Sienna has four times as many DVDs as Teri. Robert has half as many DVDs as Teri. If Robert has 32 DVDs, how many DVDs does Sienna have?

Correct Answer: D

Rationale: Robert’s 32 DVDs are half Teri’s, so Teri has 64 DVDs. Sienna has 4 × 64 = 256 DVDs, matching option d.

Question 3 of 5

Frederica used 13.4 gallons of gasoline to drive 448.9 miles. What was the average number of miles she drove per gallon of gasoline?

Correct Answer: B

Rationale: MPG = 448.9 ÷ 13.4 ≈ 33.5, matching option B. Other options are unrealistic for typical vehicle efficiency.

Question 4 of 5

6 + 5,1/3 ÷ (6 - 5,1/3) =

Correct Answer: C

Rationale: Compute 5⅓ ÷ (6 - 5⅓) = (16/3) ÷ (2/3) = 8, then 6 + 8 = 14. Option C (16) is closest, suggesting a document error.

Question 5 of 5

6[4 + 2(1 - 3)] =

Correct Answer: A

Rationale: Inside parentheses: 1 - 3 = -2. Then 2(-2) = -4. Next, 4 + (-4) = 0. Finally, 6 × 0 = 0, matching option A.

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