Top 50 Maths Formulas Every Class 10 Student Must Remember (2026 Guide)

Mathematics is one of the most important subjects in Class 10. Whether you are preparing for your CBSE Board Exams, school tests, or competitive entrance exams, remembering the right formulas can save time and help you solve questions accurately. Many students lose marks simply because they forget basic formulas during the exam.

In this guide, we have compiled the Top 50 Maths Formulas Every Class 10 Student Must Remember. Bookmark this page and revise these formulas regularly to improve your speed and confidence.

Why Learning Maths Formulas is Important

Knowing formulas helps students:

Solve questions faster.
Avoid calculation mistakes.
Improve board exam scores.
Build confidence during exams.
Revise the syllabus in less time.

Instead of memorizing formulas at the last moment, practice using them daily.

Algebra Formulas

Identities

Basic Algebraic Identities

(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b)(a - b) = a² - b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³

Factorisation

a² - b² = (a + b)(a - b)
a³ + b³ = (a + b)(a² - ab + b²)
a³ - b³ = (a - b)(a² + ab + b²)

Quadratic Equations Formulas

Important Formulas

Standard Formula

ax² + bx + c = 0

Quadratic Formula

x = (-b ± √(b² - 4ac)) / 2a

Discriminant

D = b² - 4ac

If D > 0, there are two distinct real roots.
If D = 0, there is one repeated root.
If D < 0, there are no real roots.

Arithmetic Progression (AP)

Key Formulas

nth Term

an = a + (n − 1)d

Sum of n Terms

Sn = n/2 [2a + (n − 1)d]

Where:

a = First term
d = Common difference
n = Number of terms

Coordinate Geometry Formulas

Distance Formula

Formula

√[(x? − x?)² + (y? − y?)²]

Section Formula

Midpoint

((x? + x?)/2, (y? + y?)/2)

Trigonometry Formulas

Basic Ratios

Six Trigonometric Ratios

sin θ = Perpendicular / Hypotenuse
cos θ = Base / Hypotenuse
tan θ = Perpendicular / Base
cosec θ = Hypotenuse / Perpendicular
sec θ = Hypotenuse / Base
cot θ = Base / Perpendicular

Important Identities

Identities

sin²θ + cos²θ = 1
sec²θ = 1 + tan²θ
cosec²θ = 1 + cot²θ

Mensuration Formulas

Circle

Area

πr²

Circumference

2πr

Cylinder

Curved Surface Area

2πrh

Total Surface Area

2πr(r + h)

Volume

πr²h

Cone

Volume = 1/3 πr²h
Curved Surface Area = πrl

Sphere

Surface Area = 4πr²
Volume = 4/3 πr³

Statistics Formulas

Mean

Mean = Sum of Observations / Number of Observations

Median

Middle value after arranging data.

Mode

Most frequently occurring value.

Probability Formula

Basic Formula

Probability = Number of Favourable Outcomes / Total Number of Outcomes

The probability value always lies between 0 and 1.

Tips to Remember Maths Formulas

Practice Every Day

Spend at least 20–30 minutes revising formulas.

Create Flashcards

Write formulas on small cards for quick revision.

Solve Sample Papers

Applying formulas repeatedly helps you remember them naturally.

Make a Formula Notebook

Maintain one notebook containing all important formulas chapter-wise.

Common Mistakes Students Make

Memorizing without understanding.
Ignoring NCERT examples.
Forgetting units in mensuration.
Mixing trigonometric identities.
Not revising formulas regularly.

Avoid these mistakes to score higher in the board examination.

Conclusion

Learning Maths formulas is one of the easiest ways to improve your Class 10 board exam performance. Instead of trying to memorize everything in one day, revise these formulas regularly and solve practice questions daily. Consistent revision will increase your confidence and help you solve problems quickly during the exam.

If you need personal guidance, experienced teachers, and regular doubt-solving sessions, explore our Class 10 Maths Online Tuition program.

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