NIOS Class 12 Maths Syllabus 2025 – Download PDF, Chapters & Weightage

Module

TMA (40% of syllabus)

Public Examination (60% of syllabus)

Module I (Sets, relations, and functions)

1. Sets

-

2. Relations and functions - I

-

3. Trigonometric functions- I

-

4. Trigonometric function - II

-

5. Relation between sides and angles of a triangle

-

Module II (Sequences and series)

6. Sequences and series

-

7. Some special sequences

-

Module III (Algebra I)

8. Complex numbers

-

9. Quadratic equations and linear inequalities

-

10. Principle of mathematical induction

-

11. Permutations and combinations

-

12. Binomial theorem

-

Module IV (Co-ordinate geometry)

-

13. Cartesian system of rectangular co-ordinates

-

14. Straight lines

-

15. Circles

-

16. Conic sections

Module V

17. Measures of dispersion

-

18. Random experiments and events

-

19. Probability

-

Module VI (Algebra II)

-

20. Matrices

-

21. Determinants

-

22. Inverse trigonometric functions

Module VII (Relations and functions)

-

23. Relations and functions II

24. Inverse trigonometric functions

Module VIII (Calculus)

-

25. Limits and continuity

-

26. Differentiation

-

27. Differentiation and trigonometric functions

-

28. Differentiation of exponential and logarithmic functions

-

29. Application of derivatives

-

30. Integration

-

31. Definite Integrals

-

32. Differential equations

Module IX (Vectors and three-dimensional geometry)

-

33. Introduction to three dimensions

-

34. Vectors

-

35. Plane

-

36. Straight Line

Module X (Linear programming and mathematical reasoning)

-

37. Linear programming

-

38. Mathematical reasoning

Objectives

Marks

% of Total Marks

Knowledge

30

30%

Understanding

40

40%

Application

22

22%

Skill

8

8%

Types of Questions

No. of Questions

Marks per question

Marks

MCQ (1 mark)

20

1

20

Objective-type questions (1x2=2 marks)

4

2

8

Objective-type questions (1x4=4 marks)

4

4

16

Objective-type questions (1x6=6 marks)

1

6

6

Total

29

-

50

Very short answer

9

2

18

Short answer

5

4

20

Long answer

2

6

12

Total

16

50

Grand Total

45

100