Important Maths Questions for Class 12 Board Exams (Chapter-wise with Marks Weightage)
Class 12 Maths board exams demand conceptual clarity, structured practice, and smart prioritisation. With 80 marks at stake, students who prepare chapter-wise according to marks weightage consistently perform better than those who revise randomly.
As a Class 12 Maths teacher and board exam evaluator, I have seen that board questions follow fixed patterns every year. While numerical values may change, the important question types remain largely the same.
This guide on Important Maths Questions for Class 12 Board Exams is designed to help students focus on high-probability questions from each chapter, aligned with the latest CBSE syllabus and exam pattern, so they can revise efficiently and score higher with confidence.
Class 12 Maths Marks Distribution (CBSE)
| Unit | Chapter Group | Marks |
|---|---|---|
| I | Relations & Functions | 8 |
| II | Algebra | 10 |
| III | Calculus | 35 |
| IV | Vectors & 3D Geometry | 14 |
| V | Linear Programming | 5 |
| VI | Probability | 8 |
| Total | 80 |
Important:
Calculus alone carries nearly 45% of the paper, so it must be your top priority.
This marks distribution is based on the latest syllabus and assessment framework published by CBSE Academic.
Unit-wise Important Maths Questions for Class 12
Unit I – Relations and Functions (8 Marks)
Important Topics
Types of relations
Domain, codomain, and range
Types of functions
Composition of functions
Inverse of a function
Unit II – Algebra (10 Marks)
Matrices
Important Questions
Find transpose and inverse of a matrix
Solve matrix equations
Determinants
Important Questions
Evaluate determinants
Solve system of linear equations using determinants
Find area of triangle using determinants
Unit III – Calculus (35 Marks – MOST IMPORTANT)
This unit decides top scores vs average scores.
Since Calculus carries the highest weightage in Class 12 Maths, structured revision and expert guidance for Class 12 maths preparation are essential to avoid common mistakes.
Continuity and Differentiability
Important Questions
Check continuity at a point
Differentiate functions using chain rule
Solve questions based on differentiability
Applications of Derivatives (AOD)
Important Questions
Find increasing/decreasing intervals
Find local maxima and minima
Solve word problems based on optimisation
Integrals
Important Questions
Evaluate integrals using substitution
Use properties of definite integrals
Solve standard integrals
Applications of Integrals
Important Questions
Find area under curves
Find area between two curves
Differential Equations
Important Questions
Solve differential equations using variable separation
Solve homogeneous differential equations
Unit IV – Vectors and Three-Dimensional Geometry (14 Marks)
Vectors
Important Questions
Find magnitude and direction ratios
Prove vector identities
Find angle between two vectors
Three-Dimensional Geometry
Important Questions
Find direction cosines
Find equation of line
Find shortest distance between two skew lines
Unit V – Linear Programming (5 Marks)
Important Questions
Formulate LPP
Solve LPP graphically
Find optimal solution
Unit VI – Probability (8 Marks)
Important Questions
Find conditional probability
Use Bayes’ theorem
Solve probability distribution problems
How to Prepare These Important Questions Effectively
Consistent practice along with reliable Maths tuition support helps students improve accuracy and time management before board exams.
Revise formulas daily
Practise previous year questions chapter-wise
Focus on presentation and step-wise solutions
Take timed mock tests regularly
Teacher’s Final Advice (Very Important)
Calculus cannot be skipped
Step-wise presentation is crucial
Avoid careless algebraic mistakes
Practise diagrams neatly in 3D Geometry
Frequently Asked Questions – Class 12 Maths Board Exam
Q1. Are these important maths questions enough for Class 12 board exams?
These important maths questions cover high-probability concepts based on the latest CBSE syllabus and past year trends. Students should also practise NCERT examples and exemplar problems.
Q2. Which unit carries the highest marks in Class 12 Maths?
Calculus carries the highest weightage with approximately 35 marks and should be prioritised during preparation.
Q3. Is NCERT enough for Class 12 Maths board exams?
NCERT is essential for concept clarity, but solving exemplar problems and important question types is necessary for better performance.
Q4. How many hours should I study Maths daily in Class 12?
Studying Maths for 2.5 to 3.5 focused hours daily with proper revision is ideal.
Students can also refer to our detailed Class 12 Maths revision strategy to plan their preparation more effectively.
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