Every NIOS Class 12 Mathematics 311 Objective Type Questions set on this page is built from real exam behaviour, not guesswork. Learners sitting the 311 paper usually want one clear answer: which objective questions keep coming back, and which lessons carry the marks. Our team read through the complete 311 textbook and several past papers, then shortlisted the objective type questions that map most closely to how the examiner actually frames the paper.
Written by Prateek Talwar. Reviewed by Jyoti Sharma, Senior NIOS Counsellor. Last updated on 17 July 2026.
The 311 course is spread across coordinate geometry, algebra, calculus, vectors and three dimensional geometry, linear programming and mathematical reasoning. That is a wide surface area for one exam, so smart revision is less about solving everything and more about solving the right things repeatedly. The samples below let you judge our question quality before you ask for the full set.
NIOS Class 12 Mathematics 311 Objective Type Questions Overview
The 311 objective section rewards learners who recognise patterns. Distance and section formulae, the order of a matrix, derivative rules, definite integral properties and vector dot products show up in predictable shapes year after year. Our compilation groups these recurring ideas so you spend revision time on what the paper tends to test rather than on rarely asked corners of the syllabus.
This page is a preview. You will find a genuine cross section of our work here, and the same care runs through every lesson in the full set. If you have already collected our NIOS Class 12 Objective Type Questions for other subjects, you will notice the 311 file follows the same tested, lesson by lesson approach.
Each objective question here carries a worked answer, not just a key. That matters in mathematics, where knowing why the correct option is correct helps you handle a reworded version of the same idea in the actual exam hall.
How We Prepared These NIOS Mathematics 311 Objective Type Questions
We did not pull these questions from a single source. The shortlist grew out of three parallel readings, and only the questions that survived all three made it into the file.
First, we studied the pattern of repeated topics across earlier 311 papers. Reading a stack of our NIOS Previous Year Question Paper archives showed clearly which coordinate geometry and calculus ideas the examiner returns to almost every session.
Second, we worked through the entire NIOS 311 textbook lesson by lesson, so no examinable concept was left uncovered. Every check your progress exercise and terminal exercise was treated as a signal of what the board considers core.
Third, we weighed each lesson by its exam value. Calculus carries the heaviest content weightage in 311, algebra of matrices and determinants follows, and coordinate geometry stays a reliable scoring zone. The number of questions per lesson in our file reflects that reality.
This is why the set behaves like exam preparation and not like a random worksheet. Nothing here is padded to look longer, and nothing important is quietly skipped.
Question Types in NIOS Class 12 Maths Objective Type Questions
The full file organises every lesson into four objective formats, because the 311 paper mixes these styles and each one trains a slightly different skill. Aligning your practice to the NIOS Syllabus for 311 means you meet all four formats in the shapes the examiner prefers.
Multiple choice questions test quick recognition of a formula or property. Fill in the blanks push you to recall an exact expression such as a distance formula or a derivative. True and false statements sharpen your eye for common traps, like confusing an abscissa with an ordinate. Solved match the following builds fluency by pairing a concept with its correct result at speed.
The samples below show three to four questions from each format so you can check the depth and accuracy for yourself. The complete file carries the full bank across every lesson listed in the coverage table further down.
A sample page from our NIOS Mathematics 311 objective type questions file.
Sample NIOS Mathematics 311 Multiple Choice Questions with Answers
These multiple choice questions are drawn from the coordinate geometry and algebra lessons, two areas where a single formula often decides the mark. Read the option you would pick, then check the worked answer.
Q1. The distance between the points (3, 4) and (0, 0) is:
(a) 5 (b) 7 (c) 25 (d) √7
Answer: (a) 5. Using the distance formula, √(32 + 42) = √(9 + 16) = √25 = 5.
Q2. The coordinates of the mid-point of the line segment joining (2, 3) and (4, 5) are:
(a) (3, 4) (b) (6, 8) (c) (2, 2) (d) (1, 1)
Answer: (a) (3, 4). The mid-point is ((2 + 4)/2, (3 + 5)/2) = (3, 4).
Q3. The distance of the point (−3, 4) from the origin is:
(a) 7 (b) 1 (c) 5 (d) √7
Answer: (c) 5. Distance from origin = √((−3)2 + 42) = √(9 + 16) = 5.
Q4. A matrix having only one row is called a:
(a) column matrix (b) row matrix (c) square matrix (d) null matrix
Answer: (b) row matrix. A matrix with a single row is a row matrix, regardless of the number of columns.
Sample NIOS Maths 311 Fill in the Blanks with Answers
Fill in the blanks reward precise recall. In the full file these run across every lesson, but the coordinate geometry examples below give you a fair taste of the exactness we aim for.
Q1. The distance of the point (x, y) from the origin is __________.
Answer: √(x2 + y2)
Q2. The distance between the two points (x1, y1) and (x2, y2) is __________.
Answer: √[(x2 − x1)2 + (y2 − y1)2]
Q3. The coordinates of the mid-point of the line segment joining (x1, y1) and (x2, y2) are __________.
Answer: ((x1 + x2)/2, (y1 + y2)/2)
Sample NIOS Maths 311 True and False Statements
True and false statements catch small misreadings that cost easy marks. Decide your answer first, then confirm with the reasoning we provide in the full file.
Q1. The distance of the point (5, 0) from the origin is 5. True. The point lies on the x-axis, five units from the origin.
Q2. The point (0, 3) lies on the x-axis. False. With a zero abscissa, the point lies on the y-axis.
Q3. The abscissa of every point on the y-axis is zero. True. Any point on the y-axis has the form (0, y).
Q4. The distance between the points (2, 3) and (2, 7) is 4. True. The x-coordinates match, so the distance is simply 7 − 3 = 4.
Sample NIOS Mathematics 311 Solved Match the Following
Match the following builds speed by linking a concept straight to its result. Here is one solved set from the coordinate geometry lesson, with the correct pairing already worked out for you.
| Column A | Column B (correct match) |
|---|---|
| Distance of (x, y) from the origin | √(x2 + y2) |
| Mid-point of (x1, y1) and (x2, y2) | ((x1 + x2)/2, (y1 + y2)/2) |
| Distance between (x1, y1) and (x2, y2) | √[(x2 − x1)2 + (y2 − y1)2] |
| Coordinates of the origin | (0, 0) |
Solved match the following as it appears in our NIOS Maths 311 file.
Chapter Wise NIOS Class 12 Maths Objective Type Questions Coverage
The complete file covers every public examination lesson in the 311 course, arranged by module so your revision follows the same logical flow as the textbook. The table lists each lesson included, and every one of them carries all four objective formats with answers.
If you are still organising your wider preparation, our broader NIOS Study Material collection sits alongside this file and covers solved assignments, question papers and notes for the same session.
| Module | Lesson | Chapter Name |
|---|---|---|
| Co-ordinate Geometry | 13 | Cartesian System of Rectangular Co-ordinates |
| Co-ordinate Geometry | 14 | Straight Lines |
| Co-ordinate Geometry | 15 | Circles |
| Co-ordinate Geometry | 16 | Conic Sections |
| Algebra-II | 20 | Matrices |
| Algebra-II | 21 | Determinants |
| Algebra-II | 22 | Inverse of a Matrix and its Applications |
| Relations and Functions | 23 | Relations and Functions-II |
| Relations and Functions | 24 | Inverse Trigonometric Functions |
| Calculus | 25 | Limit and Continuity |
| Calculus | 26 | Differentiation |
| Calculus | 27 | Differentiation of Trigonometric Functions |
| Calculus | 28 | Differentiation of Exponential and Logarithmic Functions |
| Calculus | 29 | Applications of Derivatives |
| Calculus | 30 | Integration |
| Calculus | 31 | Definite Integrals |
| Calculus | 32 | Differential Equations |
| Vectors and Three Dimensional Geometry | 33 | Introduction to Three Dimensional Geometry |
| Vectors and Three Dimensional Geometry | 34 | Vectors |
| Vectors and Three Dimensional Geometry | 35 | Plane |
| Vectors and Three Dimensional Geometry | 36 | Straight Line in Space |
| Linear Programming and Mathematical Reasoning | 37 | Linear Programming |
| Linear Programming and Mathematical Reasoning | 38 | Mathematical Reasoning |
A lesson opening from our NIOS Maths 311 objective questions file.
Get the Complete NIOS Class 12 Mathematics 311 Objective Type Questions
The samples above are a small slice. The complete NIOS Class 12 Mathematics 311 Objective Type Questions file carries the full objective bank for all twenty three public examination lessons, every question answered, and organised in the four formats you saw here.
To receive the full file, message us on WhatsApp and tell us you want the 311 Mathematics objective set for 2026. We will share the details and help you get started the same day.
Message us on WhatsApp for the full 311 file
FAQs on NIOS Class 12 Maths 311 Objective Type Questions
Are these NIOS Class 12 Maths 311 Objective Type Questions updated for the 2026 exam?
Yes. This NIOS Maths 311 set is prepared for the 2026 session by reading recent 311 papers and the current textbook. We refresh the shortlist each session so the objective questions stay aligned with the pattern the board is using now, rather than an older one that no longer reflects how the paper is set.
Which lessons do the NIOS Maths 311 Objective Type Questions cover?
The full NIOS Maths 311 file covers all twenty three public examination lessons, from coordinate geometry and matrices through calculus, vectors, three dimensional geometry, linear programming and mathematical reasoning. Every lesson listed in the coverage table above appears with multiple choice, fill in the blanks, true and false, and solved match the following questions, so no examinable chapter is left out of your revision.
Do the NIOS Class 12 Maths 311 objective questions come with answers?
Every question in the NIOS Class 12 Maths 311 file has a worked answer. For calculation based items we show the short working, not only the final option, so you understand the method. This helps you handle a reworded version of the same idea in the exam, which is often how objective marks are lost or gained on the day.
How do the NIOS Maths 311 Objective Type Questions help me pass the exam?
The NIOS Maths 311 questions concentrate your revision on ideas the examiner repeats, so your effort lands where the marks are. Objective questions are often the most reliable scoring section of the paper. Practising the recurring formulae and common traps builds the speed and accuracy you need to clear the 311 exam with confidence, even under time pressure on exam day.
Alongside NIOS Maths 311 questions, where can I find syllabus and material for other classes?
Beyond this NIOS Maths 311 file, we maintain resources across the board, including the NIOS Class 10 Syllabus for learners at the secondary stage. Senior secondary students can pair the 311 questions with our subject notes and past papers to build a complete revision plan for their session, whichever subjects they have registered for this year.
How do I get the complete NIOS Class 12 Maths 311 Objective Type Questions file?
Message us on WhatsApp and ask for the NIOS Maths 311 objective set for 2026. We will confirm the details and share access quickly, usually the same day. The samples on this page reflect the quality of the full file, so you know exactly what standard of objective questions and answers you will receive before you decide to reach out to us.
Unnati Educations is an independent academic support platform and is not affiliated with, endorsed by, or officially connected to the National Institute of Open Schooling (NIOS). The 311 course code and NIOS name are used only for identification and reference. Sources: NIOS senior secondary Mathematics (311) textbook and previous year 311 question papers.
