Class 11 Maths Formula Sheet – All Chapters PDF Download

Struggling to remember all the formulas from Class 11 Maths? You’re not alone. The Class 11 Maths syllabus introduces students to deeper concepts in algebra, geometry, trigonometry, and calculus, forming the foundation for Class 12 and competitive exams like JEE. To make your revision faster and easier, we’ve compiled the complete Class 11 Maths formula sheet, organized chapter-wise, with explanations, tips, and FAQs. Whether you’re a CBSE student or preparing for competitive exams, this guide is a must-have resource.

Table of Contents

Why Use a Class 11 Maths Formula Sheet?

Mathematics in Class 11 is a huge leap from Class 10. Many students face difficulty adjusting to the depth of topics. This formula sheet helps in:

Quick and effective revision before exams
Boosting accuracy in problem-solving
Building long-term memory through structured review
Saving time during competitive exam prep

Let’s dive into the chapter-wise formula breakdown.

Chapter-wise Class 11 Maths Formula Sheet

1. Sets

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
Complement: A′ = U – A
De Morgan’s Laws: (A ∪ B)′ = A′ ∩ B′, (A ∩ B)′ = A′ ∪ B′

2. Relations and Functions

Ordered Pair: (a, b) ≠ (b, a)
Domain: Set of input values
Range: Set of output values
Function: Every element of domain has a unique image in codomain

3. Trigonometric Functions

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
sin(–θ) = –sinθ, cos(–θ) = cosθ
Periodicity: sin(θ + 2π) = sinθ, cos(θ + 2π) = cosθ

4. Principle of Mathematical Induction

Base Case: Prove for n = 1
Inductive Step: Assume true for n = k, prove for n = k + 1

5. Complex Numbers and Quadratic Equations

i = √–1, i² = –1
z = x + iy (Complex Number)
Conjugate: z̄ = x – iy
|z| = √(x² + y²)
Quadratic Formula: x = [–b ± √(b² – 4ac)] / 2a

6. Linear Inequalities

ax + b < c → solve like equations
Change inequality sign when multiplying/dividing by negative
Graphically represented on number line or 2D plane

7. Permutations and Combinations

Permutation (order matters): nPr = n! / (n – r)!
Combination (order doesn’t matter): nCr = n! / [r!(n – r)!]
nCr = nC(n – r)

8. Binomial Theorem

(x + a)ⁿ = Σ (nCr) × xⁿ⁻ʳ × aʳ for r = 0 to n
Number of terms = n + 1
Middle term when n is even = T₍n/2₊1₎

9. Sequences and Series

AP nth term: aₙ = a + (n – 1)d
AP sum: Sₙ = n/2 [2a + (n – 1)d]
GP nth term: aₙ = arⁿ⁻¹
GP sum (r ≠ 1): Sₙ = a(1 – rⁿ) / (1 – r)

10. Straight Lines

Slope = m = (y₂ – y₁)/(x₂ – x₁)
Point-slope form: y – y₁ = m(x – x₁)
Slope-intercept form: y = mx + c
Two-point form: y – y₁ = (y₂ – y₁)/(x₂ – x₁)(x – x₁)

11. Conic Sections

Parabola: y² = 4ax or x² = 4ay
Ellipse: (x²/a²) + (y²/b²) = 1
Hyperbola: (x²/a²) – (y²/b²) = 1

12. Introduction to 3D Geometry

Distance: √[(x₂–x₁)² + (y₂–y₁)² + (z₂–z₁)²]
Section formula: Internal division = (mx₂ + nx₁)/(m + n)

13. Limits and Derivatives

limₓ→ₐ f(x) = L means f(x) approaches L as x approaches a
Derivative: f′(x) = limₕ→0 [f(x+h) – f(x)] / h
d/dx (xⁿ) = nxⁿ⁻¹
d/dx (sinx) = cosx, d/dx (cosx) = –sinx

14. Mathematical Reasoning

Statements can be true or false
Converse: reverse of original statement
Contrapositive: negation and reversal
Truth Tables used to validate statements

15. Statistics

Mean: Σfx / Σf
Median: l + [(n/2 – F)/f] × h
Mode: l + [(f₁ – f₀) / (2f₁ – f₀ – f₂)] × h

16. Probability

Probability = (Favorable outcomes) / (Total outcomes)
0 ≤ P(E) ≤ 1

Tips to Remember Class 11 Maths Formulas

Make flashcards for each chapter
Use color-coded notes (blue for algebra, green for geometry)
Revise the formula sheet daily for 10–15 minutes
Apply formulas to practice problems — this builds memory
Teach a friend — explaining helps retain better

Real-World Uses of Class 11 Maths Concepts

Permutations and Combinations in probability and game theory
Trigonometry in engineering and architecture
Sequences and Series in finance and computer science
Statistics in business analytics

Download Class 11 Maths Formula Sheet PDF

If you want to revise formulas offline or before your exam, download the full Class 11 Maths Formula Sheet in PDF format. You can print it and keep it near your study table or save it on your phone for easy access.

Frequently Asked Questions

1. Is this Class 11 Maths formula sheet enough for board exams?

Yes, the sheet covers all major formulas from the NCERT Class 11 Maths syllabus. It’s ideal for CBSE school exams and pre-board tests.

2. How often should I revise these formulas?

Revise them 2–3 times per week during normal study, and daily during exam time. Active recall helps improve long-term retention.

3. Are these formulas useful for competitive exams like JEE?

Absolutely. Class 11 forms 50% of the JEE syllabus. These formulas will help in solving Physics and Maths questions more efficiently.

4. Can I create my own formula sheet?

Yes! You can use this as a reference and create your personalized sheet in your own handwriting. That will help you remember better.

5. Are these formulas applicable in real life?

Yes. Topics like Trigonometry, Sequences, Probability, and Geometry have direct applications in science, engineering, and economics.

Conclusion

This Class 11 Maths formula sheet gives you everything you need to revise quickly and effectively. Whether you’re studying for school exams, preparing for entrance tests, or building a strong Maths foundation — this is your one-stop solution. Make it part of your daily routine, and you’ll notice the improvement in speed, accuracy, and confidence.

Download it, revise it, and use it smartly — because smart preparation always beats last-minute panic. Happy learning!

Explore More Formula Sheets

If you’re studying in Classes 9 to 12, having a solid grip on Maths formulas is crucial for your academic success. We’ve created dedicated formula sheets for each class to help you revise quickly and score better in exams. Check them out below:

Disclaimer: This website is an independent educational resource and is not affiliated with the Central Board of Secondary Education (CBSE). For official updates, curriculum changes, and guidelines, please refer to the official CBSE website.