CBSE Class 12 · Mathematics

CBSE Class 12 Maths Board Exam Preparation

Calculus, vectors, probability — the most scoring subject in Class 12 boards

Complete chapter-wise preparation guide for CBSE Class 12 Mathematics board exam. Relations, matrices, calculus, differential equations, vectors, 3D geometry, linear programming, and probability — with marks distribution.

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80

Theory Marks

20

Practical Marks

3 hours

Exam Duration

13

Total Chapters

Chapter-Wise Marks Breakdown

88 theory marks
ChapterMarksDifficulty
Relations and Functions8Medium
Inverse Trigonometric Functions5Medium
Matrices5Easy
Determinants8Medium
Continuity and Differentiability8Hard
Applications of Derivatives8Hard
Integrals8Hard
Applications of Integrals5Medium
Differential Equations8Hard
Vector Algebra6Medium
Three Dimensional Geometry6Hard
Linear Programming5Easy
Probability8Hard

Topics That Appear Every Year

01Integration — all methods: substitution, parts, partial fractions
02Differential equations — variable separable and linear DE
033D Geometry — equation of line and plane, angle and distance
04Maxima and minima — first and second derivative tests
05Bayes' Theorem — full conditional probability problems
06Determinants — inverse of matrix and solving system of equations
07Vector algebra — cross product applications (area, moment)
08Continuity — checking at a point using LHL, RHL, and function value

Study Strategy for 90+

1

Calculus (Chapters 5–9) carries 37 marks — highest in the paper. Spend 40% of time here

2

Integration needs daily practice — do 5 new integrals every day from week 1

3

3D Geometry and Vectors together carry 12 marks and are fully formula-based — memorise all formulas

4

Linear Programming is fully predictable — 5 marks, always solvable with graphical method

5

Attempt 3 full mock papers in timed conditions. Upload for AI evaluation — step marking in Maths is strict

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