Board Formulas

CBSE · Class 10

Mathematics

14 chapters · All formulas with solved examples

Class 10 Maths: Real Numbers, Polynomials, Linear Equations, Quadratic Equations, Arithmetic Progressions, Coordinate Geometry, Trigonometry, Circles, Areas, Statistics and Probability. Trig identities + AP + Coordinate Geometry drive the highest formula load.

14 chapters · 150 formulas · Free · Print-ready

Complete Mathematics formula sheet (PDF) →
01
Real Numbers
Fundamental Theorem of Arithmetic, HCF and LCM by prime factorisation, HCF × LCM = product, and proofs of irrationality — NCERT Class 10 Maths Ch 1
12 formulas
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02
Polynomials
Degree, zeroes, geometrical meaning, and relation between zeroes and coefficients for linear, quadratic and cubic polynomials — NCERT Class 10 Maths Ch 2
10 formulas
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03
Pair of Linear Equations in Two Variables
Graphical meaning of a pair of linear equations, consistency conditions from coefficient ratios, and solution by substitution and elimination — NCERT Class 10 Maths Ch 3
11 formulas
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04
Quadratic Equations
Standard form, factorisation, quadratic formula, discriminant, nature of roots and word problems — NCERT Class 10 Maths Ch 4
9 formulas
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05
Arithmetic Progressions
General term, sum of first n terms, applications of arithmetic progressions in word problems — NCERT Class 10 Maths Ch 5
8 formulas
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06
Triangles
Similar figures, similarity of triangles, Basic Proportionality Theorem and its converse, and the AAA, AA, SSS and SAS similarity criteria — NCERT Class 10 Maths Ch 6
14 formulas
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07
Coordinate Geometry
Distance formula, section formula, midpoint formula and area of a triangle in the Cartesian plane — NCERT Class 10 Maths Ch 7
8 formulas
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08
Introduction to Trigonometry
Trigonometric ratios of acute angles, values at 0°/30°/45°/60°/90°, complementary angles and identities — NCERT Class 10 Maths Ch 8
10 formulas
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09
Some Applications of Trigonometry
Line of sight, angles of elevation and depression, and heights-and-distances problems using trigonometric ratios — NCERT Class 10 Maths Ch 9
12 formulas
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10
Circles
Tangent to a circle, tangent perpendicular to the radius at the point of contact, equal tangents from an external point and their applications — NCERT Class 10 Maths Ch 10
14 formulas
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11
Areas Related to Circles
Length of an arc, area and perimeter of a sector, and areas of minor and major segments of a circle with simple applications — NCERT Class 10 Maths Ch 11
12 formulas
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12
Surface Areas and Volumes
Surface areas and volumes of cuboid, cube, cylinder, cone, sphere, hemisphere, and combinations of solids — NCERT Class 10 Maths Ch 12
9 formulas
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13
Statistics
Mean of grouped data by the direct, assumed-mean and step-deviation methods, mode and median of grouped data, and the empirical relationship between them — NCERT Class 10 Maths Ch 13
11 formulas
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14
Probability
Theoretical (classical) probability of an event, complementary events, sure and impossible events, with problems on coins, dice, playing cards and random draws — NCERT Class 10 Maths Ch 14
10 formulas
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Mathematics Class 10 — Frequently asked

How many Mathematics formulas are in Class 10 CBSE?+

14 chapters covering roughly 150 core formulas — all listed with derivations and solved examples.

Are these Mathematics formulas aligned to the 2025-26 syllabus?+

Yes. Every chapter follows the current CBSE Class 10 syllabus for the 2026 board exam.

Can I download the Mathematics formula sheet as PDF?+

Yes. Open the complete Mathematics formula sheet (all chapters on one printable page) or any chapter's formula sheet, press Print / Save PDF and choose "Save as PDF". Every formula comes with its symbols, units and a short hint.