All Practice Exams

100+ Free ACET Practice Questions

Pass your Actuarial Common Entrance Test exam on the first try — instant access, no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free
1 / 100
Question 1
Score: 0/0

What does a scatter plot primarily help to visualise?

A
B
C
D
to track
2026 Statistics

Key Facts: ACET Exam

70

MCQ Questions

IAI exam structure

100

Total Marks

IAI exam structure

3 hrs

Time Limit

IAI exam structure

50%

Pass Mark

IAI ACET rules

None

Negative Marking

IAI ACET rules

5

Weighted Sections

IAI syllabus

ACET is a 3-hour, 100-mark online home-based exam with remote proctoring, consisting of 70 single-correct multiple-choice questions weighted as 45 one-mark, 20 two-mark, and 5 three-mark items. Marks are split across Mathematics (30), Statistics (30), Data Interpretation (15), English (15), and Logical Reasoning (10). There is no negative marking, and candidates must score at least 50% to pass. The Institute of Actuaries of India sets each session's registration fee and schedule on its official ACET page.

Sample ACET Practice Questions

Try these sample questions to test your ACET exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate log₂ 32 − log₂ 4.
A.2
B.3
C.8
D.28
Explanation: Using the quotient law, log₂ 32 − log₂ 4 = log₂ (32/4) = log₂ 8 = 3, since 2³ = 8.
2If f(x) = 3x² − 5x + 2, what is f'(2)?
A.7
B.6
C.5
D.12
Explanation: Differentiating term by term gives f'(x) = 6x − 5. Substituting x = 2 yields 6(2) − 5 = 12 − 5 = 7.
3Evaluate the definite integral ∫₀² (2x + 1) dx.
A.4
B.5
C.6
D.8
Explanation: The antiderivative of 2x + 1 is x² + x. Evaluating from 0 to 2 gives (4 + 2) − (0 + 0) = 6.
4Solve for x: 2ˣ = 16.
A.3
B.4
C.5
D.8
Explanation: Since 16 = 2⁴, equating exponents gives x = 4. Taking log base 2 of both sides confirms x = log₂ 16 = 4.
5What is the determinant of the matrix [[3, 2], [1, 4]]?
A.10
B.14
C.12
D.5
Explanation: For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc = (3)(4) − (2)(1) = 12 − 2 = 10.
6Differentiate y = ln(x²) with respect to x.
A.1/x²
B.2/x
C.2x
D.1/(2x)
Explanation: Since ln(x²) = 2 ln x, its derivative is 2 · (1/x) = 2/x. The chain rule gives the same result: (1/x²)(2x) = 2/x.
7Find the equation of the tangent line to y = x² at the point (1, 1).
A.y = 2x − 1
B.y = x
C.y = 2x + 1
D.y = x − 1
Explanation: The slope is y' = 2x, so at x = 1 the slope is 2. Using point-slope form with (1, 1): y − 1 = 2(x − 1), giving y = 2x − 1.
8Evaluate ∫ eˣ dx + C is omitted; what is ∫₀¹ eˣ dx?
A.e
B.e − 1
C.1 − e
D.1/e
Explanation: The antiderivative of eˣ is eˣ. Evaluating from 0 to 1 gives e¹ − e⁰ = e − 1 ≈ 1.718.
9Given vectors a = (2, 3) and b = (4, −1), find the dot product a · b.
A.5
B.11
C.8
D.−3
Explanation: The dot product is the sum of component products: (2)(4) + (3)(−1) = 8 − 3 = 5.
10Simplify (x² − 9)/(x − 3) for x ≠ 3.
A.x − 3
B.x + 3
C.x² + 3
D.x − 9
Explanation: Factor the numerator as a difference of squares: x² − 9 = (x − 3)(x + 3). Cancelling the common factor (x − 3) leaves x + 3.

About the ACET Exam

The Actuarial Common Entrance Test (ACET) is the entry examination of the Institute of Actuaries of India. It assesses school-level mathematics, statistics, data interpretation, English, and logical reasoning to admit candidates as student members on the actuarial qualification pathway.

Assessment

70 single-correct multiple-choice questions (45 one-mark, 20 two-mark, 5 three-mark) totalling 100 marks

Time Limit

3 hours

Passing Score

Minimum aggregate of 50% (50 of 100 marks); no negative marking

Exam Fee

Set by IAI each session (historically around INR 3,000); confirm on the IAI ACET page (Institute of Actuaries of India (IAI))

ACET Exam Content Outline

30%

Mathematics

Notation and standard functions, numerical methods, algebra, differentiation, integration, vectors, and matrices at 10+2 level.

30%

Statistics

Permutations and combinations, measures of central tendency and spread, probability rules, discrete and continuous random variables, the binomial, Poisson, uniform, exponential, and normal distributions, and correlation.

15%

Data Interpretation

Reading and analysing tables, bar charts, pie charts, line graphs, and histograms to compute totals, averages, percentages, ratios, and percentage changes.

15%

English

Vocabulary, synonyms and antonyms, grammar, subject-verb agreement, sentence completion, error identification, idioms, and verbal analogies.

10%

Logical Reasoning

Number series, coding-decoding, blood relations, syllogisms, seating arrangements, calendar reasoning, classification, and logical inference.

How to Pass the ACET Exam

What You Need to Know

  • Passing score: Minimum aggregate of 50% (50 of 100 marks); no negative marking
  • Assessment: 70 single-correct multiple-choice questions (45 one-mark, 20 two-mark, 5 three-mark) totalling 100 marks
  • Time limit: 3 hours
  • Exam fee: Set by IAI each session (historically around INR 3,000); confirm on the IAI ACET page

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

ACET Study Tips from Top Performers

1Prioritise Mathematics and Statistics first because together they account for 60 of the 100 marks; fluency there protects your overall percentage.
2Memorise the key distribution facts, such as binomial mean np, Poisson variance equal to its mean, and exponential mean 1/lambda, so you can recall them instantly under time pressure.
3Practise data interpretation with a stopwatch; the skill being tested is fast, accurate extraction of totals, averages, percentages, and ratios rather than deep analysis.
4Because there is no negative marking, never leave a question blank; make an informed guess on anything you cannot solve fully.
5Run full 3-hour mock tests in an online, webcam-on setting that mirrors the remote-proctored format so your pacing and environment match exam day.

Frequently Asked Questions

How many questions are on the ACET exam?

ACET has 70 single-correct multiple-choice questions worth 100 marks in total. The items are weighted as 45 one-mark questions, 20 two-mark questions, and 5 three-mark questions.

How long is the ACET exam?

You get 3 hours to complete ACET. Because the paper mixes calculation-heavy maths and statistics with verbal and reasoning items, disciplined time management matters across all five sections.

What is the passing score for ACET?

You must score a minimum aggregate of 50%, meaning at least 50 of the 100 marks. ACET has no negative marking, so it is worth attempting every question.

Which sections carry the most marks in ACET?

Mathematics and Statistics each carry 30 marks, the highest weightings. Data Interpretation and English carry 15 marks each, and Logical Reasoning carries 10 marks.

Is ACET conducted online?

Yes. The Institute of Actuaries of India delivers ACET as an online home-based examination with remote proctoring, so candidates need a reliable internet connection, a webcam, and a quiet environment.

Who is eligible to take ACET?

Candidates who have passed or are appearing in 10+2 (Higher Secondary) or an equivalent qualification, with English as a subject, can register. ACET is the entry route to becoming a student member of the Institute of Actuaries of India.