NIOS 12th Mathematics sample papers are the best way to get comfortable with how the Mathematics (311) theory paper is set, from objective items to the long multi-step problems that carry the most marks. On this page you get free NIOS Class 12 Maths sample papers built to the latest 311 pattern, each with fully worked solutions so you practise the way the real board paper tests you.

Official website: nios.ac.in

NIOS 12th Mathematics Sample Papers 2026

NIOS 12th Mathematics Sample Paper 1

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NIOS 12th Mathematics Sample Paper 2

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NIOS 12th Mathematics Sample Paper 3

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NIOS 12th Mathematics Sample Paper 4

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NIOS 12th Mathematics Sample Paper 5

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NIOS 12th Mathematics Sample Paper 6

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NIOS 12th Mathematics Sample Paper 7

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NIOS 12th Mathematics Sample Paper 8

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NIOS 12th Mathematics Sample Paper 9

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NIOS 12th Mathematics Sample Paper 10

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Download any of the sample papers above and solve it in one timed sitting of about 3 hours to match the real NIOS Mathematics exam. Each paper follows the 311 theory pattern of 80 marks with a mix of objective, short answer and long answer questions, and every question comes with a step-by-step solution so you can review your working afterwards.

You can download these papers here on Collegedunia, and you should also check the official website nios.ac.in for the latest date sheet, syllabus and sample question papers before you plan your practice.

  • Exam cycle: NIOS Class 12 Mathematics theory exams are held twice a year, in April-May and October-November; the April 2026 exams ran from April 10 to May 6, 2026.
  • Paper format: The Mathematics (311) paper carries 80 theory marks plus 20 marks of Tutor Marked Assignment, totalling 100 marks, with a mix of objective, short answer and long answer questions.
  • Marking: No negative marking; you need at least 33% overall to pass, which works out to 27 in theory and 6 in the assignment.
  • Mode and duration: Pen and paper exam of 3 hours, held from 2:30 PM to 5:30 PM.
  • High weightage: Calculus alone carries 35 of the 80 theory marks, followed by Vectors and Three Dimensional Geometry at 14 and Algebra at 10.
  • Syllabus base: The NIOS Senior Secondary Mathematics 311 course of 10 modules, available free on the official website.

NIOS Class 12th Maths Sample Paper

NIOS 12th Mathematics Exam Pattern and Marks Distribution 2026

Knowing how the Mathematics 311 paper is built helps you plan your three hours across the different question types. Since there is no negative marking, you should attempt every question and show your full working so you pick up step marks even when the final answer slips.

  • Total marks: 100, made up of 80 theory marks in the written exam plus 20 marks of Tutor Marked Assignment.
  • Question types: A mix of objective and multiple choice questions, short answer questions and long answer questions across the 311 modules.
  • Marking: No negative marking; a minimum of 33% is needed to pass, which is 27 in theory and 6 in the assignment.
  • Duration: 3 hours, held from 2:30 PM to 5:30 PM.
  • Weightage: Calculus carries the most marks at 35, then Vectors and Three Dimensional Geometry at 14 and Algebra at 10.

Key advice: Clear the objective and short answer questions first to bank quick marks, then give the bulk of your time to Calculus and Vectors long answers where most of the paper's marks sit.

NIOS 12th Mathematics Sample Papers - Why Recent Papers Matter Most

NIOS revises the Mathematics 311 course and question style from time to time, so recent sample papers reflect the exact format you will face this cycle. Practising with fresh papers keeps your preparation aligned with the current pattern rather than an outdated one.

  • Recent papers follow the latest split of objective, short answer and long answer questions, so your practice matches what the real 311 paper looks like now.
  • The high-weightage Calculus and Vectors questions repeat in similar forms, so solving the last few years of papers shows you which problem types keep coming back.
  • Current papers help you judge the real length and difficulty, so you can pace yourself across the full 3-hour sitting without running out of time.

NIOS 12th Mathematics Chapter Wise Weightage - High Scoring Topics to Focus in Sample Papers

This breakdown shows how the 80 theory marks are spread across the Mathematics 311 modules so you know where to focus first. Use it to plan your revision and to set a quick pace while solving the sample papers.

Chapter Marks Difficulty What to Watch For
Calculus (Differentiation, Applications, Integration and Differential Equations) 35 Moderate to High The single largest block; master limits, derivatives, integration methods and area or volume applications for full marks.
Vectors and Three Dimensional Geometry 14 Moderate to High Learn dot and cross products, lines and planes; a clean diagram and correct formula pick up marks fast.
Algebra (Complex Numbers, Sequences, Determinants and Matrices) 10 Moderate Practise determinant and matrix operations; these are formula-driven and reliable if you avoid sign errors.
Statistics and Probability 10 Moderate Focus on probability rules, distributions and measures of dispersion; read the data carefully before you calculate.
Sets, Relations and Functions 6 Easy to Moderate Quick foundational marks; be clear on types of functions, inverse and composition.
Linear Programming 5 Easy to Moderate Plot the feasible region accurately and check every corner point to find the optimum.

Note: Do not skip the smaller Linear Programming and Sets sections, since they are among the easiest marks in the paper and take only a few minutes each once your basics are clear.

NIOS 12th Mathematics Sample Paper Video Solutions 2026 - Watch Before You Start Solving

Watching a solver work through a full NIOS Class 12 Mathematics paper shows you how the 311 questions are framed and how much working an answer needs to score full marks. The goal is to pick up the right method and presentation, not just the final answers, so you can carry the same approach into your own papers.

The video below works through a solved NIOS Class 12 Mathematics 311 question paper, running through the objective, short answer and long answer questions across Calculus, Vectors, Algebra and more, which makes it a useful revision before you attempt any of the sample papers on this page.

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Source: NIOS Class 12 Mathematics 311 fully solved question paper walkthrough, covering the objective, short answer and long answer questions across Calculus, Vectors and Algebra (YouTube)

How to Use NIOS 12th Mathematics Sample Papers to Clear in First Attempt

A sample paper only helps if you treat it like the real exam and review it harder than you solve it. Build a fixed routine around each paper so every attempt sharpens your speed and accuracy.

  • Solve each paper in one strict 3-hour block so you get used to the real length and learn to manage your time across all the modules.
  • Attempt the objective and short answer questions first, then give the remaining time to the long Calculus and Vectors problems.
  • Write every step of your working, since NIOS awards step marks even when the final answer is wrong.
  • Compare your solutions with the given ones and note exactly where you lost marks, whether it was a formula, a sign or a missing step.
  • Keep a chapter-wise error list so you can see which topics keep costing you marks and revise them first.
  • Re-solve your weakest paper closer to the exam to confirm your accuracy has actually improved.

NIOS 12th Mathematics Answer Writing and Step Marking Strategy

NIOS Mathematics awards marks step by step, so how you present a solution matters as much as the final answer. Since there is no negative marking, you should attempt every question and lay out your working clearly so the examiner can follow each step.

  • Show all steps in every numerical and derivation, since the method carries marks even if the final figure is wrong.
  • State the formula before you substitute values, so you earn the formula mark even when the arithmetic slips.
  • Draw clean, labelled diagrams for Vectors, Three Dimensional Geometry and Linear Programming to secure the diagram marks.
  • Attempt every question because a partial, correct-method attempt still picks up step marks with no penalty for a wrong answer.

NIOS 12th Mathematics 4 Week Preparation Plan Using Sample Papers

  • Week 1: Revise Calculus thoroughly since it carries 35 marks, work through the standard problem types, and attempt your first sample paper at the end of the week.
  • Week 2: Cover Vectors, Three Dimensional Geometry and Algebra, and solve two of the sample papers under the timed 3-hour block.
  • Week 3: Finish the remaining sample papers, revise Statistics, Probability, Sets and Linear Programming, and review your errors more than you solve new questions.
  • Week 4: Re-solve your weakest paper, then keep the last two days for light revision of formulas and key methods only.

FAQs on NIOS 12th Mathematics Sample Papers 2026

Ques.How many marks is the NIOS Class 12 Mathematics 311 paper worth?

Ans.The Mathematics 311 paper carries 100 marks in total, made up of 80 marks in the written theory exam and 20 marks in the Tutor Marked Assignment.

Ques.Is there negative marking in the NIOS 12th Mathematics exam?

Ans.No, there is no negative marking in NIOS Class 12 Mathematics, so you should attempt every question. You need 33% overall to pass, which is 27 in theory and 6 in the assignment.

Ques.Are these NIOS 12th Mathematics sample papers free with solutions?

Ans.Yes, all the Mathematics sample papers on this page are free to download as PDFs and come with step-by-step solutions so you can check your working on every question.

Ques.Which chapter carries the most marks in NIOS Class 12 Mathematics?

Ans.Calculus carries the highest weightage at 35 out of the 80 theory marks, followed by Vectors and Three Dimensional Geometry at 14 marks and Algebra at 10 marks.

Ques.How much time do I get for the NIOS 12th Mathematics exam?

Ans.The NIOS Class 12 Mathematics paper runs for 3 hours, held from 2:30 PM to 5:30 PM, so practise each sample paper in a single timed 3-hour block.

Ques.How many Mathematics sample papers should I solve before the NIOS exam?

Ans.Solve all the papers here at least twice, focus on the Calculus and Vectors questions, and review every question you get wrong so the method stays with you.