NIOS 311 — Mathematics — Syllabus & Chapters

The complete syllabus for NIOS 311 — Mathematics — every chapter you need to study, and how the exam paper is structured.

What you will study (chapters)

Chapter 1: Sets
Chapter 2: Relations and Functions-I
Chapter 3: Trigonometric Functions-I
Chapter 4: Trigonometric Functions-II
Chapter 5: Relations Between Sides and Angles of a Triangle
Chapter 6: Sequences and Series
Chapter 7: Some Special Sequences
Chapter 8: Complex Numbers
Chapter 9: Quadratic Equations and Linear Inequalities
Chapter 10: Principle of Mathematical Induction
Chapter 11: Permutations and Combinations
Chapter 12: Binomial Theorem
Chapter 13: Conic Sections
Chapter 14: Straight Lines
Chapter 15: Cartesian System of Rectangular Co-ordinates
Chapter 16: Circles
Chapter 17: Measures of Dispersion
Chapter 18: Probability
Chapter 19: Random Experiments and Events
Chapter 20: Determinants
Chapter 21: Inverse of a Matrix and Its Applications
Chapter 22: Matrices
Chapter 23: Relations and Functions-II
Chapter 24: Inverse Trigonometric Functions
Chapter 25: Differential Equations
Chapter 26: Differentiation
Chapter 27: Differentiation of Trigonometric Functions
Chapter 28: Differentiation of Exponential and Logarithmic Functions
Chapter 29: Applications of Derivatives
Chapter 30: Limit and Continuity
Chapter 31: Definite Integrals
Chapter 32: Integration
Chapter 33: Plane
Chapter 34: Vectors
Chapter 35: Straight Lines
Chapter 36: Introduction to Three Dimensional Geometry
Chapter 37: Linear Programming
Chapter 38: Mathematical Reasoning

Exam paper pattern

Section	What to expect
Q1-Q20	Answer all 20 multiple choice questions. Select and write the most appropriate option from the four options given in each question.
Q21-Q24	Answer four objective questions. Each question contains two one-mark parts such as matching, fill in the blanks, true or false, or direct answers.
Q25-Q28	Answer four objective questions. Each question contains four one-mark parts such as fill in the blanks, true or false, or direct answers.
Q29	Answer all six one-mark parts based on one common mathematical problem.
Q30-Q38	Answer all nine very short mathematical problems. Some questions may give an internal choice; attempt only one choice in such questions.
Q39-Q43	Answer all five short mathematical problems. Some questions may give an internal choice; attempt only one choice in such questions.
Q44-Q45	Answer both long mathematical problems. Some questions may give an internal choice; attempt only one choice in such questions.

Frequently asked questions

How many chapters are there in NIOS 311 — Mathematics?

The NIOS 311 — Mathematics syllabus has 38 chapters, listed in full above. Cover the high-weightage chapters first using the exam pattern as a guide.

How do I know which NIOS 311 — Mathematics chapters carry the most marks?

Compare the chapter list above with the exam pattern and the last few years of question papers — the topics that appear most often and the units with the highest marks are where to focus first. Always confirm weightage against the official syllabus for your exam year.

Has the NIOS 311 — Mathematics syllabus changed this year?

Boards occasionally revise the syllabus or remove topics for a session. Always download the official syllabus for your exact exam year from the official NIOS portal rather than relying on an older copy or a social-media list.

How can I prepare for NIOS 311 — Mathematics faster?

Begin with the most-frequently-asked topics and the last few years of question papers, then test yourself under timed conditions. If you want guided help, you can use the free AI study tutor for NIOS 311 — Mathematics — practise past-paper questions and get instant feedback — or a focused NIOS 311 — Mathematics study guide that condenses the syllabus into the topics that matter most — both are free to start.