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Welcome to our comprehensive guide to the CBSE Class 10 Maths Syllabus for the academic year 2023-24! As you step into Class 10, you are embarking on an important academic journey, and Maths plays a crucial role in shaping your foundation for higher studies. This blog is here to be your trusted companion, providing you with a detailed understanding of the Class 10 Maths Syllabus.
Class 10 is a significant milestone as it marks the beginning of Board exams. These exams are essential in your educational journey and can have a lasting impact on your future academic choices. Maths is a subject that not only tests your problem-solving skills but also enhances your logical thinking and analytical abilities. Mastering the CBSE Class 10 Maths Syllabus is a stepping stone to excelling in the Board exams and setting a strong foundation for your future academic endeavors.
The Central Board of Secondary Education (CBSE) has released the rationalized Class 10th Maths Syllabus for the academic session 2023-2024. The proposed Maths curriculum includes the study of the number system, algebra, geometry, trigonometry, mensuration, statistics, graphs, coordinate geometry, etc.
CBSE Maths Syllabus For Class 10 follows the Class 10 Maths syllabus of NCERT. In this blog, we have meticulously compiled the entire CBSE Class 10 Maths Syllabus, covering all the chapters, topics, and sub-topics that you will study throughout the year.
Detailed CBSE Class 10 Maths Syllabus
Chapter 1: Real Numbers
In earlier classes, you began your exploration of the world of real numbers and encountered irrational numbers. You will continue your journey on real numbers in this chapter. You will learn one of the very fundament concepts of numbers – the Fundamental Theorem of Arithmetic.
Chapter 2: Polynomials
You have studied polynomials in one variable and their degrees. In this chapter, you will learn second and third-degree polynomials in one variable and about zeroes of polynomials and their geometrical interpretation. This chapter of the CBSE class 10 maths syllabus also covers the relationship between zeroes and coefficients of polynomials of degree 2.
- Zeroes of a Polynomial
- Geometrical Meaning of Zeroes of a Polynomial
- Relationship Between Zeroes and Coefficients of a Polynomial
Chapter 3: Pair of Linear Equations in Two Variables
There are many real-world problems that are solved using linear equations. The number of equations needed to solve a problem depends on the number of unknown values in it. In your earlier classes, you learned to find solutions to linear equations in one variable. This chapter is a step further where you will learn to find the solution(s) to a pair of linear equations in two variables.
- Pair of Linear Equations in Two Variables
- Graph of Pair of Linear Equations in Two Variables
- Graphical Method of Solution of Pair of Linear Equations in Two Variables
- Algebraic Method of Solution of Pair of Linear Equations in Two Variables – Elimination Method
- Algebraic Method of Solution of Pair of Linear Equations in Two Variables – Substitution Method
- Equations Reducible to Pair of Linear Equations in Two Variables
- Word Problems on Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Quadratic equations are widely used in science, business, and engineering. A quadratic equation is an algebraic equation of the second degree in $x$. In this chapter of the CBSE class 10 maths syllabus, you will learn about quadratic equations and the methods of finding their solutions.
- What is a Quadratic Equation?
- Solution of a Quadratic Equation – Factorization Method
- Solution of a Quadratic Equation – Completing the Square Method
- Nature of Roots of Quadratic Equations
- Word Problems on Quadratic Equations
Chapter 5: Arithmetic Progressions
You must have observed that in nature, many things follow a certain pattern, such as the petals of a sunflower, the holes of a honeycomb, the grains on a maize cob, the spirals on a pineapple, and on a pine cone, etc. In Math also, the numbers also follow such patterns. Patterns of numbers are called sequences and their sum is a series. In this chapter, you will be introduced to one of the most important number patterns – the arithmetic progression.
- What is an Arithmetic Progression?
- nth Term of an Arithmetic Progression
- Sum of First n Terms of an Arithmetic Progression
- Word Problems on Arithmetic Progression
Chapter 6: Triangles
Till now, you have studied triangles, their types, properties, and equality or congruence. In this chapter, you will learn about similarity of triangles. The terms ‘congruence’ and ‘similar’ are almost the same but there is a difference between these two terms. This chapter details these concepts with respect to triangles.
- What Are Similar Figures?
- Basic Proportionality Theorem
- (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
- (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
Chapter 7: Coordinate Geometry
Coordinate geometry is the study of geometric figures such as lines, and plane figures by plotting them in the coordinate axes. You have already used coordinated geometry to plot points and draw lines using coordinate points. In this chapter, you will learn to find the distance between two points and bisect them in some ratio.
Chapter 8: Introduction to Trigonometry
While learning about triangles, you studied right triangles. These right triangles are used to find the height of mountains, tall buildings, or the depth of ocean beds. The branch of mathematics that helps in finding all these measurements is called Trigonometry. It is based on the concept of the ratio of sides of a right triangle. These three basic ratios used in trigonometry are sine, cosine, and tangent.
- Trigonometric Ratios
- Trigonometric Ratios of Specific Angles($0^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $90^{\circ}$)
- Proof of Trigonometric Ratios of Specific Angles($0^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $90^{\circ}$)
- Relationship Between the Trigonometric Ratios
- Trigonometric Identities (Using $\sin ^2 \theta + \cos ^2 \theta = 1$, $1 + \tan ^2 \theta = \sec ^2 \theta$, $1 + \text{cosec} ^2 \theta = \cot ^2 \theta$ only)
Chapter 9: Applications of Trigonometry
Knowledge of the various trigonometric ratios, their properties, and identities involving trigonometric ratios helps you to use and apply them in solving real-world problems like finding heights and distances of objects. In this chapter of the CBSE class 10 maths syllabus, you will learn how to use trigonometry to solve real-world problems.
- Angles of Elevation and Depression
- Height and Distance
Chapter 10: Circles
In daily life, you come across different types of circular objects such as clock dials, rings, vehicle tyres, etc. In this chapter, you will learn about two important line segments associated with circles – tangents and secants.
- Tangent to a Circle
- (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (Prove) The lengths of tangents drawn from an external point to a circle are equal.
Chapter 11: Areas Related to Circles
In the previous classes, you learned to find the area of plane figures like squares, rectangles, triangles, and circles. The objects in the real world, especially the various pattern you see like ‘rangoli’ are a combination of these plane figures. This chapter describes the procedure of finding areas of combinational figures involving circles.
- Perimeter of a Circle
- Area of a Circle
- Length of Sector of a Circle
- Area of a Sector of a Circle
- Length of a Segment of a Circle
- Area of a Segment of a Circle
- Area of Combination of Plane Figures Involving Circles
Chapter 13: Surface Areas and Volumes
In the previous classes, you learned to find the surface area and volume of solid shapes like cubes, cuboids, cylinders, cones, and spheres. In the real world, we come across a number of solids made up of combinations of two or more solid shapes. In this chapter of the Maths syllabus class 10 CBSE 2023-24, you will learn how to find the surface area and volume of real-world objects like ice cream cones, glass tumblers, etc.
- Surface Area of Combination of Figures (Cubes, Cuboids, Spheres, Hemispheres, and Right Circular Cylinders/Cones)
- Volume of Combination of Figures (Cubes, Cuboids, Spheres, Hemispheres, and Right Circular Cylinders/Cones)
- Conversion of One Solid From One Shape to Another
Chapter 14: Statistics
Statistics refers to the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. It is a mathematical discipline where the collection and summarization of data are carried out. The data collected from the source is called raw data. The raw data is then organized for processing which is called tabulated and grouped data.
In this chapter of the Maths syllabus class 10 CBSE 2023-24, you will learn about the methods of finding measures of central tendencies of grouped data. The three major central tendencies that you will learn are mean, mode and median.
Chapter 15: Probability
Probability in math means the numerical measurement of uncertainty. This chapter introduces you to the theoretical approach to finding the probability of an event.
Deleted Topics From CBSE Class 10 Maths Syllabus 2023-24
The following portion of the CBSE Class 10 Maths NCERT book will not be considered for annual assessment in the 2023-2024 session.
Chapter 1: Real Numbers
- Euclid’s division lemma
- Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals
Chapter 2: Polynomials
- Statement and simple problems on division algorithm for polynomials with real coefficients.
Chapter 3: Pair of Linear Equations in Two Variables
- Simple problems on equations reducible to linear equations.
Chapter 4: Quadratic Equations
- No deletion
Chapter 5: Arithmetic Progressions
- No deletion
Chapter 6: Coordinate Geometry
- Area of Triangle
Chapter 7: Triangles
Proof of the following theorems is deleted
- If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
- The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
- In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
- In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angle opposite to the first side is a right angle.
Chapter 8: Circles
- No deletion
Chapter 9: Constructions
- Full chapter deleted
Chapter 10: Introduction to Trigonometry
- Trigonometric identities of complementary angles
Chapter 11: Applications of Trigonometry
- No deletion
Chapter 12: Areas Related to Circles
- No deletion
Chapter 13: Surface Areas and Volumes
- Frustum of a cone
- Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with a combination of not more than two different solids be taken).
Chapter 14: Statistics
- Step Deviation Method for finding the mean
- Cumulative Frequency graph(Ogive)
Chapter 15: Probability
- No deletion
Course Structure CBSE Class 10th Maths Syllabus 2023-24
The following is the unit-wise breakup of marks for the CBSE Class 10 Maths Board Exam 2024.
| Unit # | Unit Name | Marks |
| I | Number System | 06 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 06 |
| IV | Geometry | 15 |
| V | Trigonometry | 12 |
| VI | Mensuration | 10 |
| VII | Statistics and Probability | 11 |
| Total | 80 |
Unit-Wise Distribution of Chapters
Unit I (Number System)
- Chapter 1: Real Numbers
Unit II (Algebra)
- Chapter 2: Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 4: Quadratic Equations
- Chapter 5: Arithmetic Progressions
Unit III (Coordinate Geometry)
- Chapter 7: Coordinate Geometry
Unit IV (Geometry)
- Chapter 6: Triangles
- Chapter 10: Circles
Unit V (Trigonometry)
- Chapter 8: Introduction to Trigonometry
- Chapter 9: Applications of Trigonometry
Unit VI (Mensuration)
- Chapter 11: Areas Related to Circles
- Chapter 12: Surface Areas and Volumes
Unit VII (Statistics and Probability)
- Chapter 13: Statistics
- Chapter 14: Probability
Best Maths Reference Books For Class 10 CBSE
If you are looking for the best Maths reference books for Class 10 CBSE, then this list is for you. Here we have listed some of the best Maths books that will help you score high marks in your exams. These books cover the entire CBSE class 10 maths syllabus and are a great resource for students who want to excel in this subject. In this list, we will recommend three of the best math reference books for 10th grade students who are following the CBSE curriculum.
- The first book on our list is ” Mathematics for Class 10 – CBSE – Examination 2023-24″ by R.D. Sharma. This book is considered to be one of the best math reference books for 10th grade students because it covers all the topics in detail and also provides solved examples to help students understand the concepts better. Check Price
- Another good math reference book for 10th grade students is “Secondary School Mathematics for Class 10 – CBSE – Examination 2023-24”, by R.S. Aggarwal. This book is also very comprehensive and covers all the topics in detail. It also provides solved examples and is considered to be one of the best books for learning math. Check Price
- “CBSE All in One Mathematics Class 10 2023-24 Edition”, by Prem Kumar, Jitendra Gupta, Brijesh Dwivedi, Arihant Publications. It provides solved examples in an easy way to learn and understand and also has a large collection of questions for students to work out. Check Price
For some more good reference maths books for Class 10 check here.
Prescribed Books For Class 10 Maths By CBSE
CBSE Maths Syllabus For Class 10 Pdf
The Central Board of Secondary Education (CBSE) is a national-level board of education in India for public and private schools, controlled and managed by the Union Government of India.
Class 10 is an important class for students as it is the foundation for their future studies. In order to help students perform well in their exams, the CBSE has released the Maths Syllabus for Class 10. The syllabus covers all the important topics that will be taught in Class 10.
Based on the CBSE class 10 maths syllabus, we have created this detailed and beautiful PDF which you can download and refer to anytime. This PDF not only covers the full list of chapters and topics within each chapter, but it also has a list of resources that parents, teachers, and students will find very helpful. So, go ahead and download this CBSE class 10 maths syllabus PDF.
Summary
The CBSE Class 10 Maths syllabus 2023-24 has been designed to provide a strong foundation in the subject and prepare students for higher-level courses.
The syllabus covers a wide range of topics, from basic algebra and geometry to more advanced concepts such as statistics and trigonometry.
Overall, the CBSE class 10 maths syllabus provides a well-rounded education in mathematics that will give students the skills they need to succeed in higher-level courses.
