Class 10 Maths Notes: Important Topics & NCERT Solutions
Senior Content Specialist | Updated On - Mar 15, 2023
CBSE Class 10 Maths Notes are provided in this article as per the latest syllabus of class 10 maths. Along with the chapter-wise notes on important topics, NCERT solutions for Class 10 Maths are also provided for all the chapters included in the class 10 syllabus 2022. 10th Maths Notes can be used by students for preparation for their Class 10 Exams and to clear the basic concepts for higher classes. Additional study resources and important links related to CBSE class 10 board exams along with the Class 10 Maths Notes are also provided in the article to help students understand and retain the basics.
| Table of Content |
Class 10 Maths Syllabus
Maths Notes for Class 10 includes 14 chapters divided into 7 units. The distribution of marks for each unit is given in the table below:
| Unit No. | Unit | Chapter | Marks |
|---|---|---|---|
| I | Number Systems | Real Numbers | 06 |
| II | Algebra | Polynomials | 20 |
| Pair of Linear Equations in Two Variables | |||
| Quadratic Equations | |||
| Arithmetic Progressions | |||
| III | Coordinate Geometry | Coordinate Geometry | 06 |
| IV | Geometry | Triangles | 15 |
| Circles | |||
| V | Trigonometry | Introduction to Trigonometry | 12 |
| Some Applications of Trigonometry | |||
| VI | Mensuration | Areas Related to Circles | 10 |
| Surface Areas and Volumes | |||
| VII | Statistics and Probability | Statistics | 11 |
| Probability | |||
| Total Marks | 80 | ||
Internal assessment will be of 20 Marks which includes tests, portfolio and lab practicals (10 + 5 + 5). Total = 80 + 20 = 100 Marks
Class 10 Maths Notes
Chapter-wise Class 10 notes for maths on important topics of all the chapters are as given below:
Chapter 1 - Real Numbers
Real numbers are the combination of both rational and irrational numbers. Some important topics covered in Class 10 Maths Notes of Chapter 1 Rational Numbers are:
Additional Resources:
Chapter 2 - Polynomials
Polynomials are the algebraic expressions having variables as well as coefficients. Some important concepts of the chapter in Class 10 Maths Notes are given below:
- Relation between zeros and coefficients
- Vietas formula
- Parabola Graph
- Polynomials Formula
- Cubic polynomial
- Roots of Polynomials
Additional Resources:
| Polynomials Revision Notes | NCERT Solutions for Polynomials | Polynomials Important Questions |
| Remainder Theorem | Degree of Polynomial | Zeros of Polynomial |
Chapter 3 - Pair of Linear Equations in Two Variables
A equation in the form of ax + by + c, where a, b and c are real numbers and a & b are not equal to zero, is known as a linear equation in two variables. The important concepts covered in Class 10 Maths Notes are –
- Graphs, Elimination and Substitution Methods
- Graph of a Linear Equation in Two Variables
- Pair of Linear Equations in Two Variables Important Questions
Additional Resources:
Chapter 4 - Quadratic Equations
Some important concepts of Quadratic Equations chapter covered in Class 10 Notes for Maths are:
Additional Resources:
| Quadratic Equations MCQs | Quadratic Equations NCERT Solutions | Quadratic Equations Important Questions |
Chapter 5 - Arithmetic Progressions
Some important topics of Arithmetic Progressions are:
Additional Resources:
| Arithmetic Progressions Revision Notes | NCERT Solutions for Arithmetic Progressions | Geometric Progression |
Chapter 6 - Triangles
Some important topics of Maths Class 10 Notes for Triangles are:
- Cevas theorem
- Similarity of Triangles
- Basic Proportionality Theorem
- Area of similar triangles
- Apollonius theorem
Additional Resources:
| Triangles Revision Notes | NCERT Solutions for Triangles | Triangles Important Questions |
| Pythagoras Theorem | Congruence of Triangles | Triangle Theorems |
Chapter 7 - Coordinate Geometry
Some important topics of Coordinate Geometry are as follows:
Additional Resources:
| Coordinate Geometry MCQs | NCERT Solutions for Coordinate Geometry | Section Formula |
| Distance Formula | Centroid | Midpoint Formula |
Chapter 8 - Introduction to Trigonometry
Class 10 Maths Notes Chapter 8 covers the following concepts:
- Cos 0
- Value of cos 60
- Sec 60
- 30 60 90 formula
- Sec 90
- Sin 30 Degrees
- Cosec Cot Formula
- Introduction to Trigonometry Formula
Additional Resources:
Chapter 9 - Some Applications of Trigonometry
Some important topics of Some Applications of Trigonometry are given below:
Additional Resources:
| Some Applications of Trigonometry Revision Notes | NCERT Solutions for Some Applications of Trigonometry | Important Questions |
Chapter 10 - Circles
Class 10 Notes for Maths Chapter 10 covers the following concepts:
- Concentric Circles
- Length of Tangent
- Circle passing through 3 points
- Chord of Circle
- Cyclic Quadrilateral
Additional Resources:
| Important Questions on Circles | NCERT Solutions for Circles | Circle Revision Notes |
| Annulus | Semicircles | Tangent to a Circle |
Chapter 11 - Constructions
Some important topics of Constructions are given below:
Additional Resources:
Note: Chapter 11 - Constructions is no longer included in Class 10 maths syllabus.
Chapter 12 - Areas Related to Circles
Some important topics of the chapter 12 Areas Related to Circles are as follows:
Additional Resources:
| Areas Related to Circles Revision Notes | NCERT Solutions for Areas Related to Circles | Areas Related to Circles Formula |
| Area of a Circle | Area of Segment of a Circle | Area of Sector |
Chapter 13 - Surface Areas and Volumes
Some important topics covered in Class 10 Maths Notes for Surface Areas and Volumes include:
- Area of prism
- Sphere Formula
- Volume of a rectangular prism formula
- Surface area of a triangular prism formula
- Area of Hollow Cylinder
- Volume of a prism
- Surface Area of Prism
Additional Resources:
| Surface Areas and Volumes Revision Notes | Surface Areas and Volumes NCERT Solutions | Surface Area of a Cuboid |
| Surface Area of Cylinder | Surface Area of Cone | Volume of a Pyramid |
Chapter 14 - Statistics
Some important topics of the Statistics chapter are given below:
Additional Resources:
| Statistics Revision Notes | Statistics NCERT Solutions | Statistics Important Questions |
| Cumulative Frequency Curve | Mean of Grouped Data | Mode of Grouped Data |
Chapter 15 - Probability
Class 10 Maths Notes Chapter 15 covers the following topics-
- Events in Probability
- Impossible Events
- Equally Likely Events
- Elementary Event
- Complimentary Events
- Sure Event
Additional Resources:
Class 10th Maths Guide
Along with the Notes for Class 10 Maths, the following books can be considered for the board exam preparation:
- Textbook for Class 10 Mathematics - NCERT Publication
- Mathematics Exemplar Problems for Class 10 - NCERT Publication
- Mathematics for Class 10 - RD Sharma
- Secondary School Mathematics for Class 10 - RS Aggarwal
Students can also access CBSE class 10th sample papers to score well in board exams.
Study Materials for Class 10 Maths:
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*The article might have information for the previous academic years, please refer the official website of the exam.