Maths Formulas Complete List for Class 6 to 12 (CBSE)

Maths formulas are fixed rules written in symbols that express the relationship between quantities. Students from Class 6 to 12 use them every day in class tests, board exams, and entrance preparation.

Maths formulas help students solve questions faster and with more accuracy in class tests, board exams, and entrance preparation. This complete maths formulas guide covers algebra, geometry, trigonometry, and calculus in a class-wise and topic-wise format, so students can find the right formula, and use it like a maths formulas PDF for quick revision before exams.

Key Takeaways

Basic Maths Formulas Quick Reference Table

Students often search for basic maths formulas when they want one page that covers the most-used rules across topics. This quick reference table does that job well. 

Algebra Formulas

Geometry Formulas Area and Perimeter

Surface Area and Volume 3D Shapes

Trigonometry Formulas

BODMAS Formula

Most mistakes in calculations happen because students follow the wrong order of operations. The BODMAS formula fixes that.

Always solve brackets first, then apply the remaining operations left to right. Example: 6 + 2 × 3 = 6 + 6 = 12, not 24.

All Maths Formulas from Class 6 to 12

Chapters in the CBSE maths syllabus are interlinked. Understanding one chapter's formulas makes the next easier. These class-wise CBSE maths formula lists cover every major topic from the 2026 syllabus.

Class 6 Maths Formulas

1. Perimeter of a Square = 4 × side
2. Perimeter of a Rectangle = 2 × (length + breadth)
3. Area of a Rectangle = length × breadth
4. Perimeter of an Equilateral Triangle = 3 × side
5. A number is divisible by 3 if the sum of its digits is a multiple of 3
6. Division by zero is undefined

Class 7 Maths Formulas

1. Area of a Square = side²
2. Area of a Triangle = ½ × base × height
3. Area of a Parallelogram = base × height
4. Circumference of a Circle = 2πr
5. Area of a Circle = πr²
6. Simple Interest = (Principal × Rate × Time) / 100
7. Profit Percentage = (Profit / Cost Price) × 100
8. aᵐ × aⁿ = aᵐ⁺ⁿ | aᵐ / aⁿ = aᵐ⁻ⁿ | a⁰ = 1

Class 8 Maths Formulas

1. Compound Interest: A = Principal(1 + Rate/100)ⁿ
2. (a − b)² = a² − 2ab + b²
3. (a + b)(a − b) = a² − b²
4. Distributive Property: a(b − c) = ab − ac
5. Euler's Formula: Faces + Vertices − Edges = 2
6. Volume of a Cone = (1/3)πr²h
7. Volume of a Sphere = (4/3)πr³
8. Probability = Favourable outcomes / Total outcomes

Class 9 Maths Formulas

Algebra Identities

Heron's Formula

Area = √[s(s−a)(s−b)(s−c)], where s = (a + b + c)/2

Statistics

Class 10 Maths Formulas

Class 10 is where board exam pressure rises. These maths formulas for class 10 often appear in questions worth 3 to 5 marks.

Arithmetic Progression

1. nth term: aₙ = a + (n − 1)d
2. Sum of n terms: Sₙ = n/2 [2a + (n − 1)d]

Quadratic Formula

x = [−b ± √(b² − 4ac)] / 2a

Trigonometry Identities

1. sin²θ + cos²θ = 1
2. 1 + tan²θ = sec²θ
3. sin(90° − A) = cos A | cos(90° − A) = sin A

Coordinate Geometry

1. Distance: d = √[(x₂ − x₁)² + (y₂ − y₁)²]
2. Midpoint: M = [(x₁ + x₂)/2, (y₁ + y₂)/2]
3. Slope: m = (y₂ − y₁) / (x₂ − x₁)

Pair these formulas with chapter-wise solved examples from NCERT solutions for Class 10 Maths to see exactly how each formula applies in exam questions.

Class 11 Maths Formulas

Trigonometry

1. sin(A + B) = sinA cosB + cosA sinB
2. cos(A + B) = cosA cosB − sinA sinB
3. sin 2A = 2 sinA cosA
4. cos 2A = cos²A − sin²A

Differentiation

1. d/dx [f + g] = f'(x) + g'(x)
2. d/dx [f × g] = f'g + fg'
3. d/dx [f/g] = [f'g − fg'] / g²

Lines

1. y = mx + c (slope-intercept form)
2. y − y₁ = m(x − x₁) (point-slope form)

Class 12 Maths Formulas

Class 12 covers integration, vectors, and inverse trigonometry. These formulas need regular revision because board questions often test direct application.

Integration

1. ∫xⁿ dx = xⁿ⁺¹/(n+1) + C
2. ∫eˣ dx = eˣ + C
3. ∫(1/x) dx = ln|x| + C
4. ∫sin x dx = −cos x + C
5. ∫cos x dx = sin x + C
6. Integration by Parts: ∫f(x)g(x) dx = f(x)∫g(x)dx − ∫[f'(x)∫g(x)dx]dx

Vectors

1. A · B = |A||B| cos θ (Dot Product)
2. A × B = |A||B| sin θ (Cross Product)

Inverse Trigonometry

1. sin⁻¹x + cos⁻¹x = π/2
2. tan⁻¹x + cot⁻¹x = π/2

Access topic-wise CBSE Class 12 revision notes on Extramarks to revise each formula with solved board exam questions.

Important Maths Formulas for Board Exams

Students often ask which formulas to revise first before an exam. This shortlist covers many high-frequency questions.

1. Quadratic Formula: x = [−b ± √(b² − 4ac)] / 2a
2. Heron's Formula: Area = √[s(s−a)(s−b)(s−c)]
3. Distance Formula: d = √[(x₂ − x₁)² + (y₂ − y₁)²]
4. Compound Interest: A = P(1 + r/100)ⁿ
5. a³ − b³ = (a − b)(a² + ab + b²)
6. sin²θ + cos²θ = 1
7. AP Sum: Sₙ = n/2[2a + (n − 1)d]
8. Volume of Cone: V = (1/3)πr²h
9. Total Surface Area of Cylinder: 2πr(r + h)
10. Integration Power Rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C

How to Remember Maths Formulas

Students searching for how to remember maths formulas usually need practical methods, not theory. These tips improve recall before tests and boards.

1. Understand the concept first. Area = l × b makes sense once you picture a rectangle. Understanding beats memorising every time.
2. Write formulas by hand daily. Writing creates stronger memory than reading. Do it for one week straight.
3. Group formulas by topic. Your brain recalls clusters better than isolated facts. Put all algebra identities on one page.
4. Practise with problems. Use each formula to solve at least three questions. Application makes it stick.
5. Use flashcards for difficult ones. Formula name on one side, expression on the other. Test yourself before sleep.
6. Teach someone else. Explaining a formula aloud forces accurate recall and exposes any gaps.
7. Revise at night. Memory consolidation happens during sleep. A five-minute formula review before bed improves retention significantly.