Uttar Pradesh (UPMSP)Class 10Subject library

Uttar Pradesh (UPMSP) Class 10 Mathematics

Chapter-wise notes, previous year papers, sample papers and Q&A for Uttar Pradesh (UPMSP) Class 10 mathematics — free, syllabus-aligned, exam-ready.

14 chapters~288 min read totalFree · printable

Chapters

14 chapters — sequenced for revision and exam prep.

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NCERT text — the book Uttar Pradesh (UPMSP) prescribes

UPMSP prescribes NCERT textbooks for Class 9–12. Hindi, Sanskrit and Urdu are the Parishad's own books, not NCERT. Classes 1–8 are run by the Basic Shiksha Parishad, not UPMSP.

Real Numbers

The Fundamental Theorem of Arithmetic, HCF and LCM through prime factorisation, and proofs that numbers like √5 are irrational.

CBSE⏱ 11 minRead chapter

Polynomials

Zeroes of a polynomial, what they mean on a graph, and the relationship between the zeroes and coefficients of a quadratic.

CBSE⏱ 9 minRead chapter

Pair of Linear Equations in Two Variables

Solving a pair of linear equations graphically and algebraically — by substitution and by elimination — plus consistency conditions and word problems. CBSE Class 10 Maths Chapter 3.

CBSE⏱ 25 minRead chapter

Quadratic Equations

Degree-2 equations ax² + bx + c = 0 — solving by factorisation and by the quadratic formula, the discriminant and the nature of roots, and word problems on area, speed, age and geometry. CBSE Class 10 Maths Chapter 4.

CBSE⏱ 25 minRead chapter

Arithmetic Progressions

Arithmetic Progressions (AP) — sequences with constant difference between consecutive terms. nth term formula, sum of n terms, applications in saving plans, loans, and patterns. CBSE Class 10 Maths Chapter 5.

CBSE⏱ 22 minRead chapter

Triangles

Similar figures, the Basic Proportionality Theorem (Thales) and its converse, and the AA, SSS and SAS criteria for similarity of triangles. CBSE Class 10 Maths Chapter 6, updated to the current three-exercise structure.

CBSE⏱ 24 minRead chapter

Coordinate Geometry

Coordinate Geometry — the distance formula and the section formula for internal division, with collinearity and shape-classification problems. CBSE Class 10 Maths Chapter 7, updated to the current two-exercise structure.

CBSE⏱ 22 minRead chapter

Introduction to Trigonometry

Introduction to Trigonometry — sin, cos, tan ratios in right triangle. Trigonometric ratios of specific angles (0°, 30°, 45°, 60°, 90°). Trigonometric identities. CBSE Class 10 Maths Chapter 8.

CBSE⏱ 26 minRead chapter

Some Applications of Trigonometry

Some Applications of Trigonometry — heights and distances. Angle of elevation, angle of depression. Solve real-world problems involving towers, buildings, and aerial measurements. CBSE Class 10 Maths Chapter 9.

CBSE⏱ 20 minRead chapter

Circles

Circles — tangent to a circle, properties of tangents, number of tangents from external point, lengths of tangents. CBSE Class 10 Maths Chapter 10.

CBSE⏱ 20 minRead chapter

Areas Related to Circles

Areas Related to Circles — the area of a sector and a segment of a circle, and the arc length formula, applied to clocks, wipers, brooches and lighthouses. CBSE Class 10 Maths Chapter 11, updated to the current single-exercise structure.

CBSE⏱ 20 minRead chapter

Surface Areas and Volumes

Surface Areas and Volumes — surface area and volume of solids made by combining a cube, cuboid, cylinder, cone, sphere and hemisphere. CBSE Class 10 Maths Chapter 12, updated to the current two-exercise structure.

CBSE⏱ 22 minRead chapter

Statistics

Statistics — mean, median and mode of grouped data by the direct, assumed-mean and step-deviation methods, the empirical relationship between them, and cumulative frequency. CBSE Class 10 Maths Chapter 13.

CBSE⏱ 22 minRead chapter

Probability

Probability — the classical (theoretical) definition, sample space and events, and complementary events, applied to coins, dice, cards and everyday random draws. CBSE Class 10 Maths Chapter 14.

CBSE⏱ 20 minRead chapter

Mathematics resources for Class 10

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FAQs

Frequently asked questions

Yes — every chapter note, worked example and PYQ for Uttar Pradesh (UPMSP) Class 10 Mathematics is free to read.

Yes. UPMSP prescribes NCERT textbooks for Class 9–12. Hindi, Sanskrit and Urdu are the Parishad's own books, not NCERT. Classes 1–8 are run by the Basic Shiksha Parishad, not UPMSP.

Open the "Uttar Pradesh (UPMSP) Class 10 Mathematics PYQs" card below — it goes straight to the year-wise paper list filtered to this subject.

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Uttar Pradesh (UPMSP) Class 10 Mathematics