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ACT Mock Test
A timed 25-question mock for the ACT covering algebra, geometry & mensuration, probability & combinatorics, english grammar, physics, chemistry. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
ACT 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.AlgebraSolve: x² + 12x + 27 = 0
Answer: D — -9, -3
Find two roots with sum -12 and product 27: -9 and -3. So x² + 12x + 27 = (x + 9)(x + 3) = 0.
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Q2.Geometry & MensurationFind the area of a right triangle with legs 8 cm and 15 cm.
Answer: B — 60 cm²
Area = ½ × base × height = ½ × 8 × 15 = 60 cm².
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Q3.Probability & CombinatoricsIn how many ways can the letters of the word PENCIL be arranged?
Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q4.English GrammarIdentify the error: “One of my friend is a doctor.”
Answer: D — my friend
After “one of” use a plural noun: “one of my friends”.
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Q5.PhysicsWhich mirror is used as a rear-view mirror in vehicles?
Answer: C — Convex
Convex mirrors give an erect, diminished image and a wide field of view.
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Q6.ChemistryWhich element is liquid at room temperature?
Answer: C — Mercury
Mercury (and bromine) are liquids at room temperature.
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Q7.AlgebraSolve: x² + 4x − 12 = 0
Answer: A — -6, 2
Find two roots with sum -4 and product -12: 2 and -6. So x² + 4x − 12 = (x − 2)(x + 6) = 0.
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Q8.Geometry & MensurationFind the distance between (1, -2) and (6, 10).
Answer: D — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q9.Probability & CombinatoricsIn how many ways can the letters of the word TABLE be arranged?
Answer: D — 120
All 5 letters are different, so arrangements = 5! = 120.
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Q10.English GrammarChoose the correct option: Hardly had he left ___ it started raining.
Answer: B — when
The correlative pair is “hardly … when” (also “no sooner … than”).
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Q11.PhysicsA current of 2.5 A flows through a 8 Ω resistor. What is the potential difference across it?
Answer: B — 20 V
Ohm’s law: V = IR = 2.5 × 8 = 20 V.
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Q12.Chemistry40 g of glucose (molar mass 180) is dissolved to make 2000 mL of solution. Find the molarity.
Answer: B — 0.111 M
Moles = 40/180 = 0.222; molarity = moles ÷ litres = 0.222 ÷ 2 = 0.111 M.
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Q13.AlgebraFind the sum of the first 14 terms of the AP 13, 19, 25, …
Answer: A — 728
Sₙ = n/2 × [2a + (n − 1)d] = 14/2 × [26 + 78] = 728.
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Q14.Geometry & MensurationFind the area of a right triangle with legs 7 cm and 24 cm.
Answer: C — 84 cm²
Area = ½ × base × height = ½ × 7 × 24 = 84 cm².
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Q15.Probability & CombinatoricsIn how many ways can the letters of the word GARDEN be arranged?
Answer: C — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q16.English GrammarChoose the word that fits: The news ___ surprising.
Answer: A — is
“News” is an uncountable noun and takes a singular verb.
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Q17.PhysicsThe unit of electrical resistance is the:
Answer: A — Ohm
Resistance is measured in ohms (Ω).
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Q18.ChemistryWhich gas is responsible for most of the greenhouse effect from human activity?
Answer: B — Carbon dioxide
CO₂ from burning fossil fuels is the largest human-caused contributor.
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Q19.AlgebraSolve: x² − x − 2 = 0
Answer: B — -1, 2
Find two roots with sum 1 and product -2: 2 and -1. So x² − x − 2 = (x − 2)(x + 1) = 0.
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Q20.Geometry & MensurationA right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
Answer: A — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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Q21.Probability & Combinatorics2 fair coins are tossed. What is the probability of at least one head?
Answer: A — 3/4
P(no head) = (1/2)^2 = 1/4; P(at least one head) = 1 − 1/4 = 3/4.
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Q22.English GrammarChoose the correct option: She is senior ___ me by two years.
Answer: A — to
Latin comparatives (senior, junior, superior, inferior) take “to”, not “than”.
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Q23.PhysicsFind the kinetic energy of a 16 kg body moving at 6 m/s.
Answer: D — 288 J
KE = ½mv² = ½ × 16 × 6² = 288 J.
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Q24.ChemistryWhat is the mass of 2.5 mol of calcium carbonate (CaCO₃)? (Molar mass 100 g/mol)
Answer: D — 250 g
Mass = moles × molar mass = 2.5 × 100 g/mol = 250 g.
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Q25.AlgebraFind log 1,000 (base 10).
Answer: B — 3
log_10(1000) asks “10 to what power gives 1000?” → 10^3 = 1000, so the answer is 3.
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 ACT
ACT — conducted by ACT, Inc.. US college admission test with English, Math and Reading, plus an optional Science section.
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.
ACT practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |