Class 10 Maths Formulas

This is the Class 10 Maths Formulas hub. It gathers every chapter-wise formula page you need for CBSE revision. Use it in two ways: tap a chapter row in the directory to open that chapter’s formula page, or scan the list below to find the chapter you are revising.

All 14 chapters of the current rationalised CBSE Class 10 Maths syllabus are here, from Real Numbers to Probability. For the full subject index, visit the Maths Formulas hub.

Class 10 Maths formulas: complete chapter directory

Each row in the directory links to that chapter’s formula page. The list follows the current rationalised NCERT/CBSE Class 10 Maths chapter list, so no outdated chapters appear.

• Arithmetic Progressions: sequences where each term is reached by adding a fixed number, with nth term and sum formulas.
• Real Numbers: Euclid’s division lemma and the fundamental theorem of arithmetic used for HCF and LCM work.
• Polynomials: relationships between zeroes and coefficients, plus the division algorithm.
• Pair of Linear Equations in Two Variables: solving two linear equations by substitution, elimination and cross multiplication.
• Quadratic Equations: the quadratic formula and the discriminant for the nature of roots.
• Triangles: similarity criteria, the basic proportionality theorem and Pythagoras theorem.
• Coordinate Geometry: distance between two points, section formula and area of a triangle from coordinates.
• Introduction to Trigonometry: sine, cosine, tangent, their reciprocals, identities and standard angle values.
• Some Applications of Trigonometry: heights and distances using angles of elevation and depression.
• Circles: tangent properties, including the tangent perpendicular to the radius and equal tangent lengths.
• Areas Related to Circles: area and perimeter of a circle, sector, segment and arc length.
• Surface Areas and Volumes: surface area and volume of combined solids such as cones, cylinders and spheres.
• Statistics: mean, median and mode for grouped and ungrouped data, and the ogive.
• Probability: theoretical probability as favourable outcomes divided by total outcomes for coins, dice and cards.

How to use the Class 10 Maths formula pages

Every formula page in this hub follows the same layout, so you can revise in four steps:

1. Open the chapter page from the directory above.
2. Read Formulas at a Glance for the formulas you must remember.
3. Check What Each Symbol Means so you substitute values correctly.
4. Apply one formula to a problem and compare your working with When to Use Each Formula.

If you remember the formula but not its chapter, use this map.

Worked example: for the AP 4, 7, 10, …, the first term is a = 4 and the common difference is d = 3. The nth term formula is aₙ = a + (n − 1)d, so a₁₂ = 4 + (12 − 1) × 3 = 37. The formula page tells you which values to substitute; the working is the same for every chapter.

What each Class 10 Maths formula page contains

The formulas on every page are drawn from the NCERT Class 10 Mathematics textbook, available from the NCERT website. Each chapter page uses the same four blocks, so you always know where to look:

• Formulas at a Glance: the exam-critical formulas for quick recall.
• All Formulas, Grouped by Topic: the same formulas arranged by idea, so related ones sit together.
• What Each Symbol Means: a plain-language list of every symbol used in the formulas.
• When to Use Each Formula: a short note on which situation each formula fits.

Common Class 10 Maths formula mistakes to avoid

These four formula swaps appear often in board-exam working. Each one has a simple correction.

• The nth term of an AP vs the sum of n terms: the nth term formula gives one term; the sum formula gives a total. Read the question to see which one it asks for.
• Distance formula vs section formula: distance measures how far apart two points are; the section formula finds the coordinates of a point dividing a line segment. Choose by what the question wants.
• Pythagoras theorem on a non-right-angled triangle: Pythagoras works only when one angle is 90°. For other triangles use similarity criteria instead.
• Ignoring the discriminant: for ax² + bx + c = 0, b² − 4ac > 0 means two distinct real roots, = 0 means one repeated root, and < 0 means no real roots.

Class 10 Maths formulas quick revision FAQs

How many Class 10 Maths formula pages are there?

There are 14 chapter pages, one for each chapter of the current rationalised CBSE Class 10 Maths syllabus.

Which chapter page covers trigonometry identities and applications?

Trigonometry identities are on the Introduction to Trigonometry page. Heights and distances using angles of elevation and depression are on the Some Applications of Trigonometry page.

How should I use these formula pages while revising for the board exam?

Open the chapter page, read Formulas at a Glance, confirm each symbol in What Each Symbol Means, then apply one formula to a solved problem. Working through one chapter like this is more focused than rereading the whole textbook.

Do the Class 10 Maths formula pages follow the latest CBSE syllabus?

Yes. The directory follows the current rationalised NCERT/CBSE Class 10 Maths chapter list, so every chapter here is one you actually need. No outdated chapters appear.

Reference: NCERT textbooks (CBSE).

Official source: download the NCERT textbook free from ncert.nic.in.