NIOS Maths Class 12 (311) TMA2025-26 – Solved Example with Weightage, Last date & Complete Guide

The submission deadline for April/May is 30 January 2025, and for October/November is 30 July 2025. This guide will help you understand the weightage and last dates. It also covers marking rules and an example that is fully solved.

📌 Quick Snapshot – NIOS Maths (311) TMA 2025–26

Column 1	Column 2
Subject	Mathematical (311) – Class 12 NIOS
Total TMA marks	20 Marks
TMA Weighing	Final Maths Score: 20%
Required Format	Follow NIOS TMA guidelines
April/May 2020 - Last date	31 Jan 2025
April/May - Tutor Feedback	15 February 2025
Oct/Nov 2025 - Last Date	31 Jul 2025
Oct/Nov - Tutor Feedback	15 August 2025

🎯 Why This Maths (311) TMA Actually Matters

• It is worth 20 marks in Math.
• A strong TMA will help you reach your goal of moving from borderline-pass to pass with distinction.
• Students who skip TMA often see their final percentage quietly decrease, missing out on a valuable advantage.

The examiner will not deduct marks if you submit an original, clean, step-by-step TMA. Students who copy or submit unclear assignments will lose out.

📘 Lesson-Wise Bifurcation – NIOS Maths (311) TMA vs Public Exam

NIOS divides its syllabus into modules. Some lessons are in TMA and others in public examination.

NIOS Mathematics (311) - Lesson Distribution (2025-26)

Column 1	Column 2	Column 3	Column 4
Module 1	Sets, Relationships & Functions	1. Sets 2 Relationships & Functions I 3. Trigonometric Functions I 4. Trigonometric Functions -II Relationship between Sides and angles of a triangle	-
Module I	Sequences and Series	6. Some Special Sequences in Series 7 There are some special sequences	-
Module 3	Algebra-I	8. Complex Numbers 9. Linear Equations and Quadratic Equations 10. Inductive Principles of Mathematics 11. Combinations and Permutations. The Binomial Theorem	-
Module 4	Geometry Co-ordinate	-	13. Cartesian System of Rectangular Coordinates 14. Straight Lines 15. Circles 16. Conic Sections
Module V	Probability & Statistics	17. Measures of dispersion 19. Random Events and Experiments 19. Probability	-
Module VI	Algebra-II	-	20. Determinants 22. Determinants 22. Inverse of Matrix and its Applications 23. Relationships and Functions II 24. Inverse trigonometric functions
Module 7	Relationships & Functions	-	Continue here with some book prints 23-24
Module VIII	Calculus	-	25. Differentiation and Limits 26. Differentiation 28. Differentiation Trigonometric Functions 29. Differentiation Exponential and Logarithmic Functions 28. Applications of derivatives 30. Integration 31. Definite Integrals 32. Differential Equations
Module IX	Vectors and 3-D	-	33. Vectors 35. Introduction to 3-D geometry 34. Vectors 35. Plane 36. Straight Line
Module X	Mathematical Reasoning & Linear Programming	-	37. Linear Programming 38. Mathematical Reasoning

The TMA questions are mainly from Lessons 1-12, 17-19. If you master these lessons, your TMA scores will be predictable.

🧩 How the Maths (311) TMA Is Structured

• Total marks: 20
• All questions must be answered.
• You can choose between two options (A or B) when answering certain questions.
• You must show all steps.
• Not just the final answer, but also the method, presentation and HTML2_ solution HTML2_ are marked.

Official NIOS Guidelines clearly state:

• Mention name, enrolment number, subject code (311)
• It is important to write neatly.
• Draw diagrams correctly and leave space.
• The final answer is NOT enough to get a mark.

🧠 Solved Example – Question 1 (Sets & Venn Diagram)

This example will help you to understand the method and presentation. Write your answers using your own handwriting and steps. Q1: The numbers of students studying English, Hindi, and Punjabi are listed based on survey results. Using set notation/Venn diagram, find: (i) Total Hindi students (iii) Students who study both Hindi and English

Given Table

Column 1	Column 2
English only	18
English but not Hindi	23
English and Punjabi	8
English (total)	26
Punjabi (total)	48
Punjabi and Hindi	8
No language	24

Step 1 – Define the Sets

• E = English
• H = Hindi
• P = Punjabi

Let the regions in the Venn diagram be a, b, c, d, e, f, g. Total students: a + b + c + d + e + f + g + 24 = 100. So, a + b + c + d + e + f + g = 76 (Equation 1).

Step 2 – Decode Information

1. a = 18
2. a - f = 23 ⇒ f = 5
3. f + g = 8 ⇒ g = 3
4. e + g = 8 ⇒ e = 6
5. Total a + d + f + g = 26 ⇒ d = 0
6. Punjabi total: c + e + f + g = 48 ⇒ c = 35
7. Equation 1: 18 + b + 35 + 0 + 5 + 5 + 3 = 76 ⇒ b = 10

All regions are now known.

Step 4 - Final Answers

(i) Hindi students = b + d + e + g = 10 + 0 + 5 + 3 = 18 (ii) English & Hindi students = d + g = 0 + 3 = 3

📝 How to Write NIOS Maths (311) TMA Answers – Practical Checklist

1. Present data clearly using a table or notation.
2. What is required?
3. Use proper symbols (, , n(A), etc.)
4. Full method
5. Answer the final question by underlining or ticking the box.
6. Keep handwriting neat
7. Write the entire number, not just the last digit.
8. Directly copying text from guides is not recommended.
9. Then, clean up the rough copy.
10. Send your submission before the deadline.

⚠️ Common Mistakes That Reduce Marks

• Write your answer without Steps.
• Use shortcut formulas without explanation.
• Diagrams that are cluttered or have unlabeled axes
• Calculator steps
• Missing final statements
• Ignoring sequences/series questions
• Rushing to submit on the last possible day

Keep it simple: give your teacher every reason to award you full marks with your effort.

FAQs - NIOS Class 12 Maths (311) TMA 2025-26

1. Is Maths (311) TMA mandatory? Yes. You will lose 20 marks if you do not submit the TMA. 2. What is the TMA Weightage? Add 20 marks to your exam results. 3. Can I print out my TMA responses? No. NIOS prefers only handwritten responses. 4. What lessons is TMA covering? Mostly Sets, Relationships, Functions. Sequences and Series. Complex Numbers. Quadratic Equations. P&C. Binomial Theorem. Statistics. Probability. 5. Two students can submit the same TMA. Risky. Teachers may lower marks for identical copies. 6. Understanding one solved example is enough? No. Write your own steps after you have understood the method. 7. When should I complete the TMA? Re-checking is allowed 15 days before the deadline.

🏁 Final Word

The Maths TMA (311) is more than just an assignment—it's a chance to earn 20 free and predictable marks. Follow the NIOS rules, write neatly, and understand the method to succeed. Approach the lesson list with determination and answer every question as if it were an actual exam.