- No data uploaded
- Instant results
ACT Practice Questions
Original practice questions for the ACT (ACT, Inc.), mixed across 6 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
ACT mixed practice
-
Q1.AlgebraSolve: x² − 8x + 16 = 0
Show answer & explanation
Answer: D — 4, 4
Find two roots with sum 8 and product 16: 4 and 4. So x² − 8x + 16 = (x − 4)(x − 4) = 0.
-
Q2.Geometry & MensurationFind the volume of a cone with radius 3 cm and height 16 cm.
Show answer & explanation
Answer: C — 150.8 cm³
Using ⅓πr²h with π = 3.1416: 150.8 cm³.
-
Q3.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 9?
Show answer & explanation
Answer: C — 1/9
4 of the 36 equally likely outcomes give a sum of 9, so P = 4/36 = 1/9.
-
Q4.English GrammarChoose the correct tag question: She can swim, ___?
Show answer & explanation
Answer: A — can’t she
A positive statement takes a negative tag with the same auxiliary: “can’t she?”.
-
Q5.PhysicsA transformer works on the principle of:
Show answer & explanation
Answer: A — Mutual induction
A changing current in one coil induces a voltage in the other.
-
Q6.ChemistryWhich of these is an alkali metal?
Show answer & explanation
Answer: A — Potassium
Potassium is in Group 1 (alkali metals).
-
Q7.AlgebraFind log₂ 16.
Show answer & explanation
Answer: D — 4
log_2(16) asks “2 to what power gives 16?” → 2^4 = 16, so the answer is 4.
-
Q8.Geometry & MensurationFind the volume of a cylinder with radius 4 cm and height 20 cm.
Show answer & explanation
Answer: B — 1,005.31 cm³
Using πr²h with π = 3.1416: 1,005.31 cm³.
-
Q9.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 8 people?
Show answer & explanation
Answer: B — 28
Order does not matter → combinations: 8C2 = 8! / (2!·6!) = 28.
-
Q10.English GrammarChoose the correct option: The train ___ by the time we reach the station.
Show answer & explanation
Answer: B — will have left
An action completed before a future point takes the future perfect: “will have left”.
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.
Practise by topic
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Geometry & Mensuration questions — Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)).
- Probability & Combinatorics questions — Probability = favourable ÷ total outcomes.
- English Grammar questions — Find the subject first and make the verb agree with it, ignoring phrases in between.
- Physics questions — Write the formula before substituting and keep SI units throughout.
- Chemistry questions — Moles = mass ÷ molar mass; molarity = moles ÷ litres.
- ACT mock test — 25 timed questions.
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 |