Free ACCUPLACER Practice Test
Try these 10 questions, two from each of five ACCUPLACER tests. Use paper and pencil. The answer and a short explanation follow each question.
Reading
1. Read the passage, then answer the question.
Library staff had expected the seed-lending shelf to be a small side project that a few gardeners would use in the spring. It was not. Indeed, the shelf turned out to be the busiest new service the branch has opened in a decade, and staff have had to restock it twice a month since March.
In the passage, the word "Indeed" signals that the sentence it begins will
- A. introduce one more branch service alongside the seed shelf.
- B. underline the point just made and restate it in stronger terms.
- C. reverse the point just made about how popular the shelf is.
- D. give the result that the staff's low expectations produced.
Show the answer
Answer: B. "It was not" says the shelf was not small. "Indeed" pushes that point further: it was the busiest new service in ten years.
2. Read the passage, then answer the question.
The town board could not vote on the budget in March. Only four of the nine members came that night, and the board's own rules require a quorum of five before any vote may be taken.
As used in the passage, the word quorum most nearly means
- A. the smallest number of members who must be present before a vote can count
- B. the number of votes needed for a measure to pass
- C. a scheduled public meeting of a governing body
- D. the nine members who together make up the whole board
Show the answer
Answer: A. Four members came, five had to be there, and no vote could happen. So a quorum is the smallest number who must attend.
Writing
3. A registrar's memo needs one word filled in: "The office will ____ late applications through Friday afternoon." Which word correctly completes the sentence?
- A. accept
- B. except
- C. expect
- D. access
Show the answer
Answer: A. "Accept" means to take in or receive. "Except" means to leave out, and "expect" means to look for something to happen.
4. A writer drafted this pair of sentences: "The clinic began offering evening appointments in March. Moreover, the number of patients who miss appointments has dropped by half." The drop in missed appointments is the direct result of the evening hours. Which revision best replaces the transition so it signals the actual relationship between the two ideas?
- A. Keep "moreover" as written
- B. Replace "moreover" with "for example"
- C. Replace "moreover" with "nevertheless"
- D. Replace "moreover" with "consequently"
Show the answer
Answer: D. "Consequently" shows that the second idea is a result of the first, which is the true link.
Arithmetic
5. What is 7/10 divided by 2/5, written in lowest terms?
- A. 4/7
- B. 3 4/7
- C. 1 3/4
- D. 7/25
Show the answer
Answer: C. Keep 7/10, flip 2/5 to 5/2, and multiply: 7/10 × 5/2 = 35/20 = 7/4 = 1 3/4.
6. What is the value of (4.5 - 1.8) × 0.3?
- A. 3.96
- B. 81
- C. 8.1
- D. 0.81
Show the answer
Answer: D. Do the parentheses first: 4.5 - 1.8 = 2.7. Then 2.7 × 0.3 = 0.81. Choice A multiplies before it subtracts.
Quantitative Reasoning, Algebra, and Statistics
7. A proportion is written as 6/x = 15/40. What is the value of x?
- A. 2.25
- B. 31
- C. 16
- D. 1.6
Show the answer
Answer: C. Cross multiply: 6 × 40 = 15 × x, so 240 = 15x and x = 16. Check: 6/16 and 15/40 both equal 0.375.
8. A box holds 20 tiles numbered 1 through 20, one number per tile. One tile is drawn at random. What is the probability of drawing a number less than 6? Express your answer as a decimal.
- A. 0.75
- B. 0.3
- C. 0.25
- D. 4.0
Show the answer
Answer: C. The numbers less than 6 are 1, 2, 3, 4 and 5. That is 5 out of 20, and 5 ÷ 20 = 0.25.
Advanced Algebra and Functions
9. Which expression is the simplified form of (x² - 25)/(x² + 2x - 35)?
- A. 5/7
- B. (x + 5)/(x + 7)
- C. (x - 5)/(x - 7)
- D. (x - 5)/(x + 7)
Show the answer
Answer: B. The top factors as (x - 5)(x + 5) and the bottom as (x - 5)(x + 7). Cancel the shared (x - 5) to get (x + 5)/(x + 7).
10. A clinic records 240 milligrams of a medication in a patient's system. The medication has a half-life of 6 hours, so the amount remaining is M(t) = 240 · (1/2)^(t/6), with t measured in hours. How many milligrams remain after 24 hours?
- A. 15 milligrams
- B. 120 milligrams
- C. 30 milligrams
- D. 60 milligrams
Show the answer
Answer: A. 24 hours is 4 half-lives. Halve 240 four times: 120, 60, 30, 15.
How did you do?
Ten questions give you a quick look, not a full picture. The real ACCUPLACER tests are adaptive, so the questions change based on your answers. A full diagnostic shows which tests need the most work.
Take the full free diagnostic. SPARK's placement diagnostic covers reading, writing and math and turns your results into a study plan. Take the diagnostic
FAQ
- Are these real ACCUPLACER questions?
- No. These are practice questions written by SPARK to practice the same skills as five ACCUPLACER tests. They are not taken from the actual ACCUPLACER.
- Which ACCUPLACER tests does this practice test cover?
- This practice test covers Reading, Writing, Arithmetic, Quantitative Reasoning, Algebra, and Statistics, and Advanced Algebra and Functions.
- Can I use a calculator on ACCUPLACER practice questions?
- On the real ACCUPLACER, you cannot bring your own calculator. Some math questions show a calculator on the screen. Practicing by hand helps on the questions that do not.
- Does the ACCUPLACER have a time limit?
- ACCUPLACER tests are generally untimed, so you can take the time you need. The school or test center giving your test will confirm.
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