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Class 10 PYQ Library

Practise chapter-wise CBSE questions with solutions. Check each topic against the current syllabus; some archives include historical questions from topics no longer prescribed.

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Chapter 1

Real Numbers

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HCF & LCM Fundamental Theorem Irrational Numbers
Chapter 2

Polynomials

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Zeroes of Polynomial Zeroes & Coefficients Graph of Polynomial
Chapter 3

Pair of Linear Equations

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Graphical Method Elimination Method Substitution Method Consistency
Chapter 4

Quadratic Equations

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By Factorisation Quadratic Formula Nature of Roots Word Problems
Chapter 5

Arithmetic Progressions

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nth Term Sum of n Terms Word Problems
Chapter 6

Triangles

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Similar Triangles BPT Theorem Pythagoras Theorem (historical PYQs; not in the 2026–27 syllabus)
Chapter 7

Coordinate Geometry

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Distance Formula Section Formula
Chapter 8

Introduction to Trigonometry

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Trigonometric Ratios Trigonometric Identities Values of Ratios
Chapter 9

Applications of Trigonometry

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Heights & Distances
Chapter 10

Circles

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Tangent to Circle Tangent Properties Number of Tangents
Chapter 11

Areas Related to Circles

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Area of Sector Area of Segment Word Problems
Chapter 12

Surface Areas & Volumes

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Combination of Solids Conversion of Solids
Chapter 13

Statistics

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Mean Median Mode
Chapter 14

Probability

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Theoretical Probability Simple Problems Cards & Selection Coins & Dice

CBSE Class 10 Mathematics: 10-Year Board PYQ Analysis & Strategy

Analyzing past 10 years of CBSE Class 10 Mathematics board question papers (Delhi, All India, and Foreign sets) reveals that nearly 70% to 80% of questions follow recurring mathematical frameworks, theorem applications, and numerical formats. Practising chapter-wise PYQs allows students to master the official CBSE paper pattern:

Section A: 20 MCQs (1 Mark each)

Tests direct concept recall, discriminant conditions, zeroes of polynomials, standard trigonometric angles, empirical statistics formula, and assertion-reason logic.

Section B & C: Short Answer (2 & 3 Marks)

Covers irrationality proofs, HCF/LCM calculations, section formula, linear equation elimination, and sector areas. Step-by-step working is essential.

Section D & E: Long Answer & Case Studies

Features 5-mark theorem proofs (BPT, Tangent theorem), heights and distances word problems, surface area conversions, and 4-mark competency-based case studies.

Examiner Advice: Solve these chapter-wise PYQs under timed conditions. Pay strict attention to units of measurement, labeling geometric diagrams with a sharp pencil, and stating reasons in brackets for every geometric step to secure full marks.

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