ISI Syllabus 2027 PDF: B Stat, B Math, M Stat, M Math, MS QE

The ISI syllabus 2027 will be released by the Indian Statistical Institute with the 2027-28 admission notice. Until then, the 2026 syllabus is the best guide: B Stat and B Math cover Class 11 and 12 level mathematics, while M Stat, M Math and MS (QE) cover undergraduate mathematics, statistics and economics.

ISI Syllabus 2027

Test-wise topics for the main ISI programmes, the official syllabus PDFs, the test pattern and preparation tips.

What is the ISI B Stat and B Math syllabus (UGA, UGB)?

B Stat and B Math share both tests, UGA (MCQ) and UGB (short answer), which are based on 10+2 level mathematics.

• Algebra: sets, primes and divisibility, rational and irrational numbers, permutations and combinations, basic probability, induction, recurrence relations, binomial theorem, logarithms, polynomials and quadratic equations, AP and GP, AM-GM-HM inequalities, complex numbers, matrices and determinants.
• Geometry: plane geometry, Cartesian and polar coordinates, straight lines, locus, area of a triangle, circle, parabola, ellipse and hyperbola with tangents and normals, mensuration.
• Trigonometry: trigonometric and inverse trigonometric functions, identities and addition formulae, trigonometric equations, properties of triangles, heights and distances.
• Calculus: sequences and limits, functions, limits and continuity, derivatives, tangents and normals, maxima and minima, curve sketching, definite and indefinite integrals, area, first-order homogeneous differential equations.

What is the ISI M Stat syllabus (PSA, PSB)?

The M Stat tests, PSA (objective) and PSB (short answer), cover undergraduate mathematics plus statistics and probability.

• Mathematics: progressions, trigonometry, 2D coordinate geometry, set theory, combinatorics, theory of equations, complex numbers, vector spaces, matrices, eigenvalues, limits, differentiation and integration, maxima and minima.
• Probability: sample space, conditional probability, Bayes theorem, random variables, moments and MGFs, standard distributions, order statistics, joint, marginal and conditional distributions, bivariate and multivariate normal, law of large numbers and CLT.
• Statistics: descriptive measures, correlation and regression, estimation (unbiasedness, sufficiency, MLE, method of moments), tests of hypotheses and Neyman-Pearson lemma, confidence intervals, CRD, RBD, LSD, ANOVA, factorial designs, SRSWR, SRSWOR and stratified sampling.

What is the ISI M Math syllabus (PMA, PMB)?

The M Math tests, PMA in the forenoon and PMB in the afternoon, are set at the level of an undergraduate mathematics degree.

• Analysis: countable sets, sequences and series, Cauchy sequences, Bolzano-Weierstrass, continuity and uniform continuity, Taylor expansion, partial derivatives and Jacobians, series of functions, ODEs, Riemann integration and improper integrals.
• Metric spaces: open, closed and compact sets, continuity, completeness and connectedness.
• Linear algebra: vector spaces, bases, linear transformations and matrices, dual spaces, eigenvalues, diagonalization, inner product spaces.
• Abstract algebra: groups, quotient groups, Lagrange and Sylow theorems, rings, ideals, integral domains, Chinese remainder theorem, polynomial rings and fields.

What is the ISI MS (QE) syllabus (PEA, PEB)?

The MS (QE) tests, PEA (MCQ) and PEB (short answer), combine mathematics, statistics and economics.

• Mathematics: binomial theorem, AP and GP, polynomial equations, linear algebra, functions, limits, continuity, differentiation in one or more variables, unconstrained and constrained optimization, integration, convexity and quasi-convexity, implicit function theorem, homogeneous and homothetic functions.
• Statistics: elementary probability, central tendency, dispersion, correlation and regression, binomial, geometric, normal, Poisson and chi-square distributions, Bayes theorem, sampling, estimation, hypothesis testing.
• Microeconomics: consumer and producer theory, competitive markets, monopoly, price discrimination, Cournot and Bertrand duopoly, strategic interaction, public goods, externalities, general equilibrium, welfare economics.
• Macroeconomics: national income accounting, Keynesian model and multiplier, IS-LM, AD-AS, money, banking and inflation, Phillips curve, open economy basics, Harrod-Domar and Solow models.

What is the ISI exam pattern and how are the tests marked?

Each programme has an MCQ test in the forenoon and, for most programmes, a descriptive test in the afternoon, each lasting two hours. The maximum marks below are from ISI’s 2026 selection policy.

ISI’s 2026 prospectus and test instructions do not state a negative marking rule, so read the instructions on the 2027 question booklet. Calculators are not allowed.

Where can you download the ISI syllabus PDF?

ISI publishes one syllabus PDF per test on its syllabus and sample questions page. These are the 2026 files; the 2027 versions are expected with the new admission notice.

How should you prepare for the ISI Admission Test 2027?

Start from the official syllabus, then practise with ISI’s own sample questions, which are past test papers.

1. Cover every topic in your test’s syllabus PDF; ISI questions test reasoning and proof, not formula recall.
2. Solve the official sample questions year by year from our ISI sample papers page, under a two-hour limit for each test.
3. For the descriptive test, write full solutions with every step, as answers are graded by examiners.
4. Practise without a calculator, as none is allowed in the exam hall.
5. Revise weak topics in the last month and re-solve the most recent papers.

ISI notes that the current year’s questions may not follow the structure of the sample questions. For B Stat and B Math, NCERT Class 11 and 12 Mathematics textbooks are the base, with standard texts such as Hall and Knight’s Higher Algebra and S L Loney’s Coordinate Geometry for extra practice.

ISI Syllabus 2027 FAQs