NIOS 211 — Mathematics
This is a complete, free study companion for NIOS 211 — Mathematics — built around what the exam actually asks. The topics examiners repeat most are Probability of an Event, Radius-Tangent Perpendicularity and Tangents from an External Point, and Right Circular Cylinder. The syllabus runs to 26 chapters. Below you'll find the full topic-frequency ranking, the exam paper pattern, every chapter, a step-by-step study plan, and the official downloads — everything in one place.
Everything here is free. We're an independent student resource, not the official NIOS body, so always confirm the current syllabus and exam dates on the official NIOS website before you rely on them.
Key information
- Subject code
- 211
- Level
- Class 10
- Programme
- CL10
- Exam
- On-Demand Examination System
- Conducted by
- National Institute of Open Schooling (NIOS)
Most important topics (by past-paper frequency)
| # | Topic | Times asked | Likelihood |
|---|---|---|---|
| 1 | Probability of an Event | 65 | 13.3% |
| 2 | Radius-Tangent Perpendicularity and Tangents from an External Point | 31 | 6.4% |
| 3 | Right Circular Cylinder | 27 | 5.5% |
| 4 | Trigonometric Identities | 26 | 5.3% |
| 5 | Section Formula and Mid-Point Formula | 25 | 5.1% |
| 6 | Concyclic Points and Cyclic Quadrilaterals | 24 | 4.9% |
| 7 | Construction of Triangles | 24 | 4.9% |
| 8 | Median of Raw and Ungrouped Data | 24 | 4.9% |
| 9 | Angles Made by a Tangent and a Chord | 23 | 4.7% |
| 10 | Sum of the First 'n' Terms of an Arithmetic Progression | 22 | 4.5% |
| 11 | Properties of Different Quadrilaterals | 22 | 4.5% |
| 12 | Discount | 21 | 4.3% |
Based on how often each topic appeared in official previous-year question papers.
Exam paper pattern
| Section | What to expect |
|---|---|
| Q1-Q17 | Answer all 17 multiple choice questions. Each question has four options and only one correct answer. |
| Q18-Q27 | Answer all 10 objective questions. Each question has two one-mark parts to be completed exactly as instructed, such as fill in the blanks, true or false, or matching items. |
| Q28 | Answer the case-based objective question based on the given situation. It has five one-mark sub-parts. |
| Q29-Q37 | Answer all nine very short answer questions. Each question carries 2 marks and some questions include one internal choice. |
| Q38-Q42 | Answer all five short answer questions. Each question carries 3 marks and some questions include one internal choice. |
| Q43-Q44 | Answer both long answer questions. Each question carries 5 marks and each has one internal choice. |
What you will study (chapters)
- Chapter 1
- Algebraic Expressions and Polynomials
- Chapter 2
- Exponents and Radicals
- Chapter 3
- Linear Equations
- Chapter 4
- Arithmetic Progressions
- Chapter 5
- Quadratic Equations
- Chapter 6
- Number Systems
- Chapter 7
- Special Products and Factorization
- Chapter 8
- Percentage and its Applications
- Chapter 9
- Instalment Buying
- Chapter 10
- Circles
- Chapter 11
- Lines and Angles
- Chapter 12
- Co-ordinate Geometry
- Chapter 13
- Constructions
- Chapter 14
- Concurrent Lines
- Chapter 15
- Similarity of Triangles
- Chapter 16
- Quadrilaterals
- Chapter 17
- Angles in a Circle and Cyclic Quadrilateral
- Chapter 18
- Secants, Tangents and their Properties
- Chapter 19
- Congruence of Triangles
- Chapter 20
- Perimeters and Areas of Plane Figures
- Chapter 21
- Surface Areas and Volumes of Solid Figures
- Chapter 22
- Trigonometric Ratios of Some Special Angles
- Chapter 23
- Introduction to Trigonometry
- Chapter 24
- Measures of Central Tendency
- Chapter 25
- Data and Their Representations
- Chapter 26
- Introduction to Probability
Official textbook
- NIOS 211 — Mathematics — official textbook / study material — Free download from the official source.
How to study NIOS 211 — Mathematics and score well
- Start with the highest-frequency topics — In NIOS 211 — Mathematics, Probability of an Event, Radius-Tangent Perpendicularity and Tangents from an External Point, Right Circular Cylinder, and Trigonometric Identities appear again and again in past papers. Master these first — they return the most marks for the time you put in.
- Learn how the paper is set — The NIOS 211 — Mathematics paper is split into sections (see the exam pattern above). Knowing the marks each section carries tells you how long to spend on each — then practise to that timing.
- Practise with previous-year papers — Solve the last 5–10 years of NIOS NIOS 211 — Mathematics papers under timed, exam-like conditions. Past papers show exactly which topics repeat and how questions are worded.
- Revise actively, not passively — Write a one-page summary for each of the 26 chapters — key definitions, formulas and the points examiners reward — then re-test yourself instead of re-reading.
- Mark your answers with the official scheme — After each practice paper, score yourself against the official marking scheme. It shows how marks are awarded step-by-step, so you learn to present answers the way examiners expect.
Exam tips: how to score higher in NIOS 211 — Mathematics
Where students lose marks: rushing the high-weightage questions, skipping the steps the marking scheme rewards, and saving easy sections for last. Read the whole paper first, attempt your strongest section early to bank marks, and always show your working.
Manage your time: split your time in proportion to the marks each section carries, keep a few minutes at the end to check, and never leave a question blank — a partial, structured answer still earns partial marks.
Frequently asked questions
What are the most important topics in NIOS 211 — Mathematics?
Based on past papers, the most frequently asked topics include Probability of an Event, Radius-Tangent Perpendicularity and Tangents from an External Point, Right Circular Cylinder. The full ranked list with how often each appears is in the "Most important topics" section above.
Where can I download NIOS 211 — Mathematics previous-year question papers?
Official NIOS previous-year question papers are available on the official NIOS website. Open the Question Papers section for the direct link, plus the exam pattern and the topics that repeat most.
How can I prepare for NIOS 211 — Mathematics faster?
Start with the highest-frequency topics, learn the exam pattern so you know how each section is marked, and practise with past papers. A subject-aware study tutor can quiz you on exactly these topics.
A Gyani AI tutor trained on the NIOS 211 — Mathematics syllabus and past papers can quiz you on the most-asked topics and show you exactly what to revise.