Class 11 Maths Important Questions Chapter-wise is a curated collection of short and long answer questions sourced from NCERT textbooks, CBSE sample papers, and previous year question papers. This post is designed to help students grasp high-weightage concepts through practice questions categorized by chapter. These questions not only improve your understanding of critical topics but also train you for the exam pattern followed by CBSE in 2025-26.
Each chapter includes both subjective and objective questions, with tips to approach them correctly. We’ve included marking schemes, examiner’s point of view, and error-free solutions to help you score full marks. These questions complement our comprehensive Class 11 Maths Formula Sheet and are ideal for quick revision and self-testing.
Table of Contents
- Chapter 1: Sets
- Chapter 2: Relations and Functions
- Chapter 3: Trigonometric Functions
- Chapter 4: Principle of Mathematical Induction
- Chapter 5: Complex Numbers and Quadratic Equations
- Chapter 6: Linear Inequalities
- Chapter 7: Permutations and Combinations
- Chapter 8: Binomial Theorem
- Chapter 9: Sequences and Series
- Chapter 10: Straight Lines
- Chapter 11: Conic Sections
- Chapter 12: Introduction to Three-Dimensional Geometry
- Chapter 13: Limits and Derivatives
- Chapter 14: Mathematical Reasoning
- Chapter 15: Statistics
- Chapter 16: Probability
Chapter 4: Principle of Mathematical Induction
This chapter introduces the concept of proving statements for all natural numbers using induction. Important questions include:
- Prove 1 + 2 + 3 + ... + n = n(n+1)/2 using PMI.
- Prove: 2ⁿ > n² for n ≥ 5 by mathematical induction.
Tip: Practice each step carefully — basis, assumption, and inductive step.
Chapter 5: Complex Numbers and Quadratic Equations
- Define complex numbers and find conjugate of z = 3 + 4i.
- Solve: x² + 4x + 13 = 0
Tip: Use the identity i² = -1 and follow standard roots of quadratic equation format.
Chapter 6: Linear Inequalities
- Solve and graph: 2x + 3 < 7
- System of inequalities in two variables
Tip: Plot the feasible region and check boundary conditions.
Chapter 7: Permutations and Combinations
- Find total 3-digit numbers using 1, 2, 3, 4, 5
- How many ways can 4 people sit on 6 chairs?
Tip: Use nPr and nCr wisely depending on whether order matters.
Chapter 8: Binomial Theorem
- Find 5th term in (2x – 3)⁶
- General term of (a + b)ⁿ
Tip: Remember general term = Tₖ₊₁ = nCk aⁿ⁻ᵏ bᵏ
Chapter 9: Sequences and Series
- Find sum of first 10 terms of A.P. with a = 5, d = 3
- Find nth term of G.P.
Tip: Practice A.P., G.P., and their sum formulas. Combine with PMI for proofs.
Chapter 10: Straight Lines
- Find slope and equation of line through two points
- Angle between two lines
Tip: Memorize slope forms: point-slope, two-point, intercept
Chapter 11: Conic Sections
- Standard equation of parabola, ellipse, hyperbola
- Focus, directrix, and vertex problems
Tip: Use diagrams to visualize and apply correct standard form
Chapter 12: Introduction to Three-Dimensional Geometry
- Find distance between two points in space
- Find coordinates of a point dividing line segment in ratio
Tip: Use 3D formulas carefully; include direction ratios
Chapter 13: Limits and Derivatives
- Evaluate: lim(x→0) (sinx/x)
- Find derivative of f(x) = x² + 3x + 2
Tip: Learn all standard limits and derivatives. Use chain rule and product rule
Chapter 14: Mathematical Reasoning
- Differentiate between statement and open sentence
- Negation and converse of a statement
Tip: Use truth tables and learn logical connectives
Chapter 15: Statistics
- Find mean, median, mode of grouped data
- Standard deviation using step deviation method
Tip: Solve using table format for accurate answer
Chapter 16: Probability
- Basic events and sample space
- Find probability of drawing red card from deck
Tip: Write all events clearly; use classical approach
How to Use Class 11 Maths Important Questions Effectively
- Start with NCERT textbook exercises and highlight the repeated question types.
- Use PYQs to identify high-weightage questions.
- Practice diagrams, graphs, and formulas from each chapter to score in visuals-based questions.
Reinforce your concepts by referring to our detailed Class 11 Formula Sheet.
Frequently Asked Questions
Which chapters have the most important questions in Class 11 Maths?
Chapters like Trigonometric Functions, Limits and Derivatives, and Sequences & Series carry higher weightage in exams and are often repeated in question banks.
How to score full marks in Class 11 Maths?
Understand concepts, practice all NCERT examples, solve NCERT solutions, use RD Sharma for variety, and revise formulas regularly.
Are NCERT questions enough for Class 11 Maths exams?
NCERT forms the base. For thorough preparation, include RD Sharma and PYQs.