The NIOS Class 10 Mathematics 211 Objective Type Questions on this page are a chapter wise set of objective type questions with answers, built for learners preparing for the 2026 public examination. Every question here is drawn from a study of past NIOS 211 question papers and a full reading of the prescribed Mathematics textbook, so the practice you do actually mirrors the paper you sit for.
Written by Prateek Talwar. Reviewed by Jyoti Sharma, Senior NIOS Counsellor. Last updated 16 July 2026.
You will find four question formats that repeat across the exam: multiple choice questions, fill in the blanks, true or false statements and match the following. This page shows a verified preview from one chapter, and the complete subject wise set is available on request through WhatsApp.
Quick answer: These Mathematics 211 Objective Type Questions are objective type questions prepared by Unnati Educations after analysing NIOS previous year papers and the class 10 textbook. The full set covers every listed chapter across four formats, MCQs, fill in the blanks, true or false and match the following, each with a worked answer.
NIOS Class 10 Mathematics 211 Objective Type Questions at a Glance
Mathematics 211 is often the paper that decides whether a NIOS learner clears the secondary stage in one attempt. The objective section carries steady, scorable marks, and that is exactly where a focused question bank pays off. This collection concentrates on the topics that recur year after year, so your revision time goes into what the examiner actually asks.
Rather than a loose pile of sums, the material is organised chapter by chapter and format by format. That structure lets you revise a single lesson end to end, or drill one question type across the whole book before the exam. For the wider plan you can pair it with the NIOS Class 10 Syllabus so no listed topic slips through unrevised.
Chapters Covered in NIOS Class 10 Mathematics 211 Objective Type Questions
The complete set spans the core lessons of the NIOS 211 course, grouped below by lesson number. Each chapter includes objective questions across all four formats in the full pack, while this page previews a verified sample from the Special Products and Factorization lesson.
| Lesson | Chapter topic | Key topics covered |
|---|---|---|
| 4 | Special Products and Factorization | Special product identities, factorisation of polynomials, sum and difference of cubes |
| 5 | Linear Equations | Equations in one and two variables, substitution and elimination, graphical solution |
| 6 | Quadratic Equations | Roots by factorisation, quadratic formula, nature of roots |
| 7 | Arithmetic Progressions | Common difference, nth term, sum of n terms |
| 8 | Percentage and Its Applications | Profit and loss, discount, simple interest applications |
| 9 | Instalment Buying | Cash price and instalment price, rate of interest, number of instalments |
| 16 | Angles in a Circle and Cyclic Quadrilateral | Angle subtended by an arc, angles in the same segment, cyclic quadrilateral properties |
| 17 | Secants, Tangents and Their Properties | Tangent from an external point, length of tangents, secant and tangent relationships |
| 18 | Constructions | Division of a line segment, construction of tangents, triangle and circle constructions |
| 19 | Coordinate Geometry | Distance formula, section formula, midpoint of a line segment |
| 20 | Perimeters and Areas of Plane Figures | Area of triangles and quadrilaterals, circle and sector, combined figures |
| 21 | Surface Areas and Volumes of Solid Figures | Cube cuboid and cylinder, cone and sphere, combined solids |
| 22 | Introduction to Trigonometry | Trigonometric ratios, relationship between ratios, basic identities |
| 23 | Trigonometric Ratios of Some Special Angles | Ratios of 0 30 45 60 and 90 degrees, evaluation of expressions, standard values |
| 25 | Measures of Central Tendency | Mean median and mode, grouped data, cumulative frequency |
| 26 | Introduction to Probability | Sample space and events, classical probability, simple experiments |
Lesson numbering follows the official NIOS 211 course structure. To confirm the exact topic order and weightage before you start, cross check the list against the NIOS Syllabus for the current session.
Sample Multiple Choice Questions from Mathematics 211
These MCQs are taken verbatim from the Special Products and Factorization chapter of our set. Read the worked explanation after each answer to fix the identity in memory.
Q1. Find the value of 508 × 492 using a special product identity.
(A) 249936 (B) 249964 (C) 248964 (D) 250036
Answer: (A) 249936
Explanation: Use the identity (a + b)(a – b) = a² – b². Take a = 500, b = 8, so 508 × 492 = (500 + 8)(500 – 8) = 500² – 8² = 250000 – 64 = 249936.
Q2. What is the correct expansion of (a – b)³?
(A) a³ – b³ – 3a²b + 3ab² (B) a³ – 3ab(a – b) – b³ (C) a³ – 3ab(a + b) + b³ (D) a³ – b³ + 3ab² – 3a²b
Answer: (B)
Explanation: The standard identity is (a – b)³ = a³ – 3ab(a – b) – b³.
Q3. What is the complete factorization of x⁴ – 81y⁴?
(A) (x² + 9y²)(x² – 9y²) (B) (x + 3y)(x – 3y)(x² + 9y²) (C) Both A and B (D) None of these
Answer: (C)
Explanation: x⁴ – 81y⁴ = (x²)² – (9y²)² = (x² + 9y²)(x² – 9y²). Since x² – 9y² = (x + 3y)(x – 3y), the final form is (x + 3y)(x – 3y)(x² + 9y²).
Sample Fill in the Blanks from NIOS Class 10 Mathematics
Fill in the blanks reward precise recall of identities. Attempt each one before revealing the answer.
1. The identity (a + b)(a² – ab + b²) simplifies to ______.
Answer: a³ + b³ (the sum of cubes identity).
2. The cube of (a – b) is ______.
Answer: a³ – 3a²b + 3ab² – b³.
3. The product (x + 9)(x + 3) simplifies to ______.
Answer: x² + 12x + 27, using (x + a)(x + b) = x² + (a + b)x + ab.
4. The factorization of x³ – 64 is ______.
Answer: (x – 4)(x² + 4x + 16), from a³ – b³ = (a – b)(a² + ab + b²).
Sample True or False Statements from Mathematics 211
True or false items test whether you can spot a small change in a standard identity. Watch the signs carefully.
1. Statement: (a + b)(a² – ab + b²) = a³ – b³.
Answer: False. This product gives the sum of cubes, a³ + b³, not the difference.
2. Statement: The cube of (a – b) is a³ – 3a²b – 3ab² – b³.
Answer: False. The correct expansion is a³ – 3a²b + 3ab² – b³, with a plus sign before 3ab².
3. Statement: The expression (x² – 1)/(x – 1) simplifies to x + 1.
Answer: True. Since x² – 1 = (x – 1)(x + 1), cancelling (x – 1) leaves x + 1.
4. Statement: The expression x² – 4x + 3 has (x – 1) as a factor.
Answer: True. x² – 4x + 3 = (x – 1)(x – 3).
Sample Match the Following from NIOS Class 10 Maths 211
Matching questions pack several identities into one item, so they are a fast way to test breadth. Try to pair every row before checking the key.
Set 1: Identities and their expansions
| Column A | Column B |
|---|---|
| A. (a + b)³ | 1. a³ – 3a²b + 3ab² – b³ |
| B. (a – b)³ | 2. a³ + 3a²b + 3ab² + b³ |
| C. (a + b)(a – b) | 3. a² – b² |
| D. (a + b)² | 4. a² + 2ab + b² |
Correct matches: A → 2, B → 1, C → 3, D → 4.
Set 2: Expressions and their factorised forms
| Column A | Column B |
|---|---|
| A. x² – 4x + 4 | 1. (x – 3)(x – 1) |
| B. x² – 4 | 2. (x – 2)² |
| C. x² – 4x + 3 | 3. (x – 2)(x + 2) |
| D. x² – 6x + 9 | 4. (x – 3)² |
Correct matches: A → 2, B → 3, C → 1, D → 4.
Want every chapter in this format? Message us on WhatsApp at 9654279279 to receive the complete Mathematics 211 objective question pack with answers.
How We Prepared These Mathematics 211 Objective Type Questions
Every item began with three inputs. First, a chapter by chapter reading of the prescribed NIOS Mathematics textbook so that no question sits outside the syllabus. Second, a study of previous year NIOS 211 papers to see which identities, theorems and formulae the examiner returns to. Third, a check of the marking pattern, so the objective questions match the weight and style used in the real paper.
The result is a set that is easy to follow yet genuinely exam relevant. Each answer carries a short worked explanation, so you learn the method and not just the correct option. If you want to see how this fits the rest of your preparation, our wider NIOS Study Material covers solved assignments and support notes for the same subject.
Who Should Use These NIOS Mathematics 211 Objective Type Questions
This set suits first time NIOS candidates who need a clear scoring base, repeaters targeting the objective section, and self study learners without regular tuition. Because every answer is worked, you can use it without a teacher beside you and still understand the method behind each result.
It also fits learners revising late in the cycle. When time is short, objective practice returns marks fastest, and a chapter wise layout lets you focus on weak lessons first. To layer in real paper exposure, work alongside a NIOS Previous Year Question Paper once you have covered a chapter here.
For a broader booklet that groups high yield objective items across subjects, many learners also keep our NIOS Class 10 Objective Type Questions collection open during revision.
How to Get the Complete Mathematics 211 Question PDF
This page is a verified preview so you can judge the quality before you commit. The complete pack carries the full bank of MCQs, fill in the blanks, true or false and match the following for every chapter listed above, each with a worked answer.
To request the full NIOS Class 10 Mathematics 211 Objective Type Questions pack, send a message on WhatsApp at 9899436384 and tell us your exam month. Our team will share the delivery details and guide you on how to use the set for the 2026 examination.
Frequently Asked Questions on NIOS Class 10 Mathematics
Are these NIOS Class 10 Mathematics Objective Type Questions enough to pass 211?
They give a strong objective base, which is the most reliable scoring area in the NIOS 211 paper. For a safe result, combine this objective practice with your textbook exercises and at least two solved previous year papers. That way you also handle the descriptive and higher mark sections with confidence, and you enter the 2026 examination knowing the full pattern rather than only the easy marks.
Do the Mathematics 211 questions come with answers and explanations?
Yes. Every question in the set carries the correct answer along with a short worked explanation. The explanation shows the identity, formula or theorem used to reach the result, so you learn the method rather than memorising a single option. This approach is what actually helps under exam pressure, because the real NIOS Class 10 Mathematics paper rewards learners who understand why an answer is correct.
Which chapters do the NIOS Class 10 Mathematics 211 questions cover?
The set spans the core lessons listed in the chapters table above, from Special Products and Factorization through to Introduction to Probability. It covers algebra, commercial mathematics, geometry, mensuration, trigonometry and statistics, which matches the topic spread of the official NIOS 211 course for class 10. Working chapter by chapter means you can close weak areas first and revise the whole book in an orderly way.
Are these objective questions for the 2026 NIOS Mathematics 211 exam?
Yes, the set is prepared for the 2026 examination cycle. It is built from a study of recent NIOS 211 question papers and the current prescribed textbook, so the balance of MCQs, fill in the blanks, true or false and match the following reflects what learners can reasonably expect. Do confirm your final exam dates on the official NIOS portal, since the board updates the schedule each session.
How do I get the full NIOS Class 10 Mathematics question pack?
Send us a WhatsApp message using either number shown on this page and mention the subject as Mathematics 211. Our team will confirm the complete pack and explain how to access it after your request. The verified preview above lets you check the depth, accuracy and clarity of the NIOS Class 10 Mathematics material first, so you know exactly what you are getting before you ask for the full set.
Disclaimer: Unnati Educations is an independent academic support provider and is not affiliated with, endorsed by or connected to the National Institute of Open Schooling (NIOS). All question papers, syllabus references and trademarks belong to their respective owners. Content on this page is prepared for study support only. Sources referenced include NIOS previous year Mathematics 211 question papers and the prescribed NIOS class 10 Mathematics textbook (nios.ac.in).
