Grade 10 › Mathematics

Class 10 Mathematics

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Chapter 1
Number Systems
Euclid’s Division Lemma Fundamental Theorem of Arithmetic Revisiting Irrational Numbers Decimal Expansions of Rational Numbers
Study Test  15 min IMO  15 min 📝 Paper
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Chapter 2
Polynomials
Zeros of a Polynomial Relationship Between Zeros and Coefficients of Quadratic Polynomials
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Chapter 3
Pair of Linear Equations in Two Variables
Graphical Solution Algebraic Methods: Substitution, Elimination, Cross-Multiplication Applications in Daily Life
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Chapter 4
Quadratic Equations
Standard Form of a Quadratic Equation Solution by Factorization and Completing the Square Discriminant and Nature of Roots
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Chapter 5
Arithmetic Progressions
Introduction to Arithmetic Progression (AP Components of an AP General Form and nth Term of an AP Sum of First n Terms of an AP Special Results and Word Problems Based on AP
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Chapter 6
Coordinate Geometry
Distance Formula Section Formula — Internal Division Area of Triangle, Midpoint, and Reflection of Points
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Chapter 7
Triangles
Similar figures and criteria of similarity Area of similar triangles Pythagoras Theorem and its converse
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Chapter 8
Circles
Introduction to Circles & Tangents Properties of Tangents & Perpendicularity Theorems Tangents from an External Point & Geometrical Applications
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Chapter 9
Trigonometry
Trigonometric Ratios and Identities Evaluation of Standard Angles and Trigonometric Tables Problems Involving Complementary Angles
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Chapter 10
Areas Related to Circles
Perimeter and area of a circle Areas of sector of a circle Areas of segment of a circle
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Chapter 11
Mensuration
Surface Area and Volume of Combination of Solids Frustum of a Cone Conversion of Solids from One Shape to Another
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Chapter 12
Statistics
Mean, Median, Mode of Grouped Data — Bimodal Excluded Cumulative Frequency Table and Graph Histograms, Frequency Polygons, and Ogives
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Chapter 13
Probability
Classical Definition of Probability Simple Problems on Single Events
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Chapter 14
Factorization
Factor Theorem Remainder Theorem Factorisation of Cubic Polynomials
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Chapter 15
Matrices
Order of a Matrix Compatible Matrices Addition and Subtraction of Matrices, and Multiplication by a Scalar
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Chapter 16
Ratio and Proportion
Continued Proportion Direct Variation Inverse Variation
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Chapter 17
Banking
Banking Transactions Savings Account Fixed Deposits and Recurring Deposits
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Chapter 18
Shares and Dividends
Concept of Shares Dividend and Return on Investment Buying and Selling Value
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Chapter 19
Linear Inequations
Solution of Linear Inequations Graphical Representation on Number Line
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Chapter 20
Loci
Locus of a point at a fixed distance from a point Locus of a point equidistant from two fixed points Locus of a point equidistant from two intersecting lines
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