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ACCUPLACER Mock Test
A timed 25-question mock for the ACCUPLACER placement tests covering algebra, percentages, english grammar. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
ACCUPLACER mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.AlgebraFind the sum of the first 25 terms of the AP 9, 15, 21, …
Answer: D — 2025
Sₙ = n/2 × [2a + (n − 1)d] = 25/2 × [18 + 144] = 2,025.
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Q2.PercentagesThe price of an item changes from $475 to $665. What is the percentage change?
Answer: A — 40% increase
Change = 190 on a base of 475: 190/475 × 100 = 40% increase. Always divide by the ORIGINAL value.
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Q3.English GrammarChoose the correct conditional: If it rains tomorrow, we ___ the match.
Answer: A — will cancel
First conditional (real future possibility): if + present, will + base verb.
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Q4.AlgebraFind the sum of the first 24 terms of the AP 14, 18, 22, …
Answer: D — 1440
Sₙ = n/2 × [2a + (n − 1)d] = 24/2 × [28 + 92] = 1,440.
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Q5.PercentagesThe price of an item changes from $100 to $92. What is the percentage change?
Answer: A — 8% decrease
Change = -8 on a base of 100: -8/100 × 100 = 8% decrease. Always divide by the ORIGINAL value.
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Q6.English GrammarChoose the correct option: This is the best book I ___.
Answer: B — have ever read
A superlative + experience up to now uses the present perfect: “have ever read”.
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Q7.AlgebraSolve: 3x + y = 26 and 4x + y = 31
Answer: C — x = 5, y = 11
Elimination/substitution gives x = 5, y = 11. Check: 3(5) + 1(11) = 26 ✓ and 4(5) + 1(11) = 31 ✓.
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Q8.PercentagesWhat is 45% of 660?
Answer: D — 297
45% of 660 = 45/100 × 660 = 297.
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Q9.English GrammarChoose the correct form: By the time we arrived, the film ___.
Answer: D — had already started
An action completed before another past action takes the past perfect: “had already started”.
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Q10.AlgebraSolve: x + 4y = -12 and 5x + 5y = -15
Answer: C — x = 0, y = -3
Elimination/substitution gives x = 0, y = -3. Check: 1(0) + 4(-3) = -12 ✓ and 5(0) + 5(-3) = -15 ✓.
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Q11.PercentagesTwo successive discounts of 15% and 5% are equivalent to a single discount of:
Answer: D — 19.25%
Net discount = a + b − ab/100 = 15 + 5 − 15×5/100 = 19.25%.
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Q12.English GrammarChoose the correct option: She has been working here ___ 2019.
Answer: A — since
Use “since” with a point in time (2019) and “for” with a duration.
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Q13.AlgebraFind the sum of the first 21 terms of the AP 9, 14, 19, …
Answer: B — 1239
Sₙ = n/2 × [2a + (n − 1)d] = 21/2 × [18 + 100] = 1,239.
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Q14.PercentagesTwo successive discounts of 20% and 20% are equivalent to a single discount of:
Answer: A — 36%
Net discount = a + b − ab/100 = 20 + 20 − 20×20/100 = 36%.
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Q15.English GrammarChoose the word that fits: The news ___ surprising.
Answer: D — is
“News” is an uncountable noun and takes a singular verb.
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Q16.AlgebraFind log₃ 81.
Answer: D — 4
log_3(81) asks “3 to what power gives 81?” → 3^4 = 81, so the answer is 4.
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Q17.PercentagesThe price of an item changes from $200 to $250. What is the percentage change?
Answer: C — 25% increase
Change = 50 on a base of 200: 50/200 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q18.English GrammarChoose the correct preposition: She is good ___ mathematics.
Answer: A — at
The idiom is “good at” a subject or skill.
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Q19.AlgebraFind log₅ 125.
Answer: C — 3
log_5(125) asks “5 to what power gives 125?” → 5^3 = 125, so the answer is 3.
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Q20.PercentagesTwo successive discounts of 15% and 12% are equivalent to a single discount of:
Answer: C — 25.2%
Net discount = a + b − ab/100 = 15 + 12 − 15×12/100 = 25.2%.
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Q21.English GrammarChoose the correct option: Let’s discuss ___ the matter tomorrow.
Answer: D — no preposition
“Discuss” is transitive: we discuss the matter (no “about”).
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Q22.AlgebraSolve: 4x + 2y = 6 and 4x + 5y = 27
Answer: C — x = -2, y = 7
Elimination/substitution gives x = -2, y = 7. Check: 4(-2) + 2(7) = 6 ✓ and 4(-2) + 5(7) = 27 ✓.
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Q23.English GrammarChoose the correct option: There is no ___ in crying over spilt milk.
Answer: C — use
Fixed expression: “There is no use (in) doing something”.
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Q24.AlgebraSolve: x² − 5x + 6 = 0
Answer: C — 2, 3
Find two roots with sum 5 and product 6: 2 and 3. So x² − 5x + 6 = (x − 2)(x − 3) = 0.
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Q25.English GrammarChoose the correct option: The furniture in the house ___ new.
Answer: C — is
“Furniture” is uncountable and takes a singular verb.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (this test has no negative marking by default — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
About ACCUPLACER
ACCUPLACER placement tests — conducted by College Board. College placement tests in reading, writing and math used by community colleges.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
ACCUPLACER practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| English Grammar | English | Question bank |