CBSE Class 10 Maths: All Important Formulas (Chapter-Wise)
Having a solid grasp of all mathematical formulas is essential for scoring high in the CBSE Class 10 Board Exam. This comprehensive chapter-wise formula sheet covers all 15 chapters with approximately 80-100 key formulas you must memorize.
Chapter 1: Real Numbers
- Euclid's Division Lemma: a = bq + r, where 0 ≤ r < b
- HCF × LCM = Product of two numbers
- Fundamental Theorem of Arithmetic: Every composite number can be expressed as a product of primes
Chapter 2: Polynomials
For a quadratic polynomial ax² + bx + c:
- Sum of zeroes = −b/a
- Product of zeroes = c/a
- Polynomial form: x² − (sum of zeroes)x + (product of zeroes)
Chapter 3: Pair of Linear Equations in Two Variables
For equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0:
- Unique solution: a₁/a₂ ≠ b₁/b₂
- No solution: a₁/a₂ = b₁/b₂ ≠ c₁/c₂
- Infinite solutions: a₁/a₂ = b₁/b₂ = c₁/c₂
Chapter 4: Quadratic Equations
- Standard form: ax² + bx + c = 0
- Discriminant: D = b² − 4ac
- Roots formula: x = (−b ± √D) / 2a
- Nature of roots: D > 0 (real & distinct), D = 0 (equal), D < 0 (imaginary)
Chapter 5: Arithmetic Progressions (AP)
- nth term: aₙ = a + (n − 1)d
- Sum of n terms: Sₙ = n/2 [2a + (n − 1)d]
Chapter 6: Triangles
- Pythagoras Theorem: Hypotenuse² = Base² + Height²
- Area of triangle: (1/2) × base × height
Chapter 7: Coordinate Geometry
- Distance formula: √[(x₂−x₁)² + (y₂−y₁)²]
- Section formula: X = (mx₂ + nx₁)/(m+n), Y = (my₂ + ny₁)/(m+n)
Chapter 8: Trigonometry
- sin θ = Perpendicular / Hypotenuse
- cos θ = Base / Hypotenuse
- tan θ = Perpendicular / Base
- Key Identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = cosec²θ
Chapter 9: Applications of Trigonometry
Height and Distance problems: tan θ = height / distance
Chapter 10: Circles
- Tangent is perpendicular to radius at the point of contact
- Tangents drawn from an external point are equal in length
Chapter 12: Areas Related to Circles
- Area of circle: πr²
- Circumference: 2πr
- Sector area: (θ/360) × πr²
- Arc length: (θ/360) × 2πr
Chapter 13: Surface Areas & Volumes
- Cube: SA = 6a², Volume = a³
- Cylinder: CSA = 2πrh, Volume = πr²h
- Sphere: SA = 4πr², Volume = (4/3)πr³
Chapter 14: Statistics
- Mean (Direct): Σfx / Σf
- Median: l + [(n/2 − cf)/f] × h
- Mode: l + [(f₁−f₀)/(2f₁−f₀−f₂)] × h
Chapter 15: Probability
- P(E) = Favorable outcomes / Total outcomes
- Range: 0 ≤ P(E) ≤ 1
FAQs – CBSE Class 10 Maths Formula Sheet 2026
I. What is a Class 10 Maths formula sheet?
A Maths formula sheet is a quick revision resource that includes all important formulas chapter-wise to help students revise efficiently before the board exam.
II. Is a formula sheet useful for CBSE Class 10 board exam preparation?
Yes, it helps in quick revision, improves accuracy, and saves time during exam preparation.
III. Which chapters are most important for Class 10 Maths formulas?
Important chapters include Algebra, Trigonometry, Coordinate Geometry, Mensuration, and Statistics.
IV. Can I revise the entire syllabus using a formula sheet?
A formula sheet is best for revision, but students should also practice questions to fully understand concepts.
V. How can I memorize Maths formulas easily?
Regular revision, solving problems, and writing formulas repeatedly are effective ways to memorize them.
VI. Is this formula sheet enough for scoring high marks?
It is very helpful for revision, but combining it with sample papers and previous year questions will give better results.
VII. Is the Class 10 Maths formula sheet available for free download?
Yes, you can download the complete PDF for free and start your preparation immediately.
VIII. Can this formula sheet help in last-minute revision?
Absolutely, it is designed for quick and effective last-minute revision before exams.