Announcemnet
Physics Wallah Gulf welcomes Knowledge Planet to the family!
PW Logo
NEW
CuriousJr
NEW
AI Guru
Blogs
School Prep
CBSE Class 10 Maths Syllabus

CBSE Class 10 Maths Syllabus

by PW Gulf
October 7, 2023
Share:
fb
twitter
tube
linkedin

Mathematics, often referred to as the universal language, forms the foundation of countless scientific, technological, and practical advancements that shape the modern world. The Central Board of Secondary Education (CBSE) recognizes the pivotal role of mathematics in a student's academic journey and overall cognitive development. As such, the CBSE Class 10 Mathematics Syllabus has been thoughtfully designed to provide students with a comprehensive understanding of numerical concepts, geometrical shapes, and algebraic equations, empowering them with problem-solving skills that extend far beyond the classroom.

Exploring the Syllabus Structure

The CBSE Class 10 Mathematics Syllabus is strategically structured to offer a holistic grasp of diverse mathematical topics, including real numbers, algebra, geometry, trigonometry, statistics, and probability. This well-organized syllabus caters to both the theoretical and practical aspects of mathematics, equipping students with not only conceptual knowledge but also the ability to apply mathematical principles to real-world scenarios.

CBSE Class 10 Maths Chapter-wise Weightage:

Units

Unit Name

Marks

I

NUMBER SYSTEMS

10

II

ALGEBRA

20

III

COORDINATE GEOMETRY

4

IV

GEOMETRY

27

V

MENSURATION

13

VI

STATISTICS & PROBABILITY

6

Total

  

80

CBSE Class 10 Maths Syllabus Overview 

Let's take a journey through the key units of the CBSE Class 10 Mathematics Syllabus to gain insights into the diverse range of mathematical concepts that students will encounter:

Unit

Chapter

Content

Unit 1: Number Systems

1. Real Number

- Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples. - Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

Unit 2: Algebra

1. Polynomials

- Zeros of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials only.
 

2. Pair of Linear Equations in Two Variables

- Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. - Algebraic conditions for number of solutions. - Solution of a pair of linear equations in two variables algebraically - by substitution and by elimination. - Simple situational problems. - Simple problems on equations reducible to linear equations.
 

3. Quadratic Equations

- A quadratic equation in standard form is ax2+bx+c=0,(a≠0). - Factorization and the quadratic formula are used to solve quadratic equations (only real roots). - The relationship between the discriminant and the nature of the roots. - Quadratic equation-based situational situations relating to daily activities.
 

4. Arithmetic Progressions

- The nth term and the sum of the first n terms of A.P. are deduced and used to solve difficulties in everyday life.

Unit 3: Coordinate Geometry

1. Coordinate Geometry (LINES)

LINES (In two-dimensions) - Review: Concepts of coordinate geometry, graphs of linear equations. - Distance formula. - Section formula (internal division)

Unit 4: Geometry

1. Triangles

- Definitions, examples, counter examples of similar triangles. - Proofs and motivations related to similar triangles and their properties.


  • Demonstrate Parallel Line Result: If a line is drawn parallel to one side of a triangle, intersecting the other two sides at distinct points, those sides are divided in the same ratio.

  • Justify Ratio Division: When a line divides two sides of a triangle in the same ratio, it runs parallel to the third side.

  • Establish Corresponding Angles Implication: When corresponding angles of two triangles are equal, their corresponding sides show proportionality, leading to triangle similarity.

  • Corresponding Sides Imply Angle Equality: If the corresponding sides of two triangles are proportional, their corresponding angles are also equal, indicating triangle similarity.

  • Angle Equality and Proportional Sides: When one angle in a triangle equals an angle in another triangle and the included sides are proportional, the two triangles are similar.

  • Similarity through Right Triangle Perpendicular: Drawing a perpendicular from the right angle vertex of a right triangle to its hypotenuse creates similar triangles on each side of the perpendicular and the entire triangle.

  • Relationship of Similar Triangle Areas: The ratio of areas of two similar triangles equates to the ratio of the squares of their corresponding sides.

  • Proof in Right Triangle: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

  • Angle Opposite to Side Equality: In a triangle, when the square on one side matches the sum of squares on the other two sides, the angle opposite to the first side is a right angle.
 

2. Circles

- Tangent to a circle at the point of contact. - Proofs and motivations related to properties of tangents drawn from an external point to a circle.

Unit 5: Trigonometry

1. Introduction To Trigonometry

- Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). - Values of the trigonometric ratios of 30°, 45° and 60°. - Relationships between the ratios.
 

2. Trigonometric Identities

- Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
 

3. Heights and Distances

- Simple height and distance problems involving right triangles. Elevation/depression angles should be no more than 30°, 45°, and 60°.

Unit 6: Mensuration

1. Areas Related To Circles

- Motivate the area of a circle; area of sectors and segments of a circle. - Problems based on areas and perimeter / circumference of plane figures.
 

2. Surface Areas and Volumes

- Surface areas and volumes of cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.

Unit 7: Statistics & Probability

1. Statistics

- Mean, median and mode of grouped data (bimodal situation to be excluded).
 

2. Probability

- Classical definition of probability. Simple problems on finding the probability of an event.

Complete Syllabus CBSE Class 10 Maths : Download PDF Here

Importance of CBSE Class 10 Maths Syllabus

The CBSE Class 10 Maths syllabus holds significant importance as it lays the foundation for fundamental mathematical concepts. It equips students with essential problem-solving skills and logical reasoning abilities. This structured curriculum prepares students for board exams, fosters real-life applications, and forms a basis for higher studies in diverse fields. Overall, the syllabus plays a vital role in shaping students' mathematical proficiency and cognitive development.

Understanding the CBSE Class 10 Maths Syllabus

The CBSE Class 10 Maths syllabus is divided into various units, each covering specific topics. Let's take a closer look at the units and the topics included in the syllabus

Unit I: Number Systems

Real Numbers

  • Fundamental Theorem of Arithmetic explained with examples.

  • Proofs of irrationality of certain numbers.

Unit II: Algebra

Polynomials

Zeros of a polynomial and relationship between zeros and coefficients of quadratic polynomials.

  • Pair of Linear Equations in Two Variables

  • Graphical method for solving pair of linear equations, consistency/inconsistency.

  • Algebraic conditions for number of solutions.

  • Solution of linear equations algebraically using substitution and elimination.

Simple situational problems.

  • Quadratic Equations

  • Standard form of quadratic equation and solutions using factorization and quadratic formula.

  • Relationship between discriminant and nature of roots.

Situational problems based on quadratic equations.

  • Arithmetic Progressions

  • Derivation of nth term and sum of first n terms of Arithmetic Progression (A.P.).

  • Application in solving real-life problems.

Unit III: Coordinate Geometry

Coordinate Geometry

  • Review of coordinate geometry concepts, linear equation graphs.

  • Distance formula and section formula for internal division.

Unit IV: Geometry

Triangles

Definitions and examples of similar triangles.

Proofs and motivational statements:

  • If a line is parallel to one side, it divides the other two sides in the same ratio.

  • If a line divides two sides in the same ratio, it's parallel to the third side.

  • Corresponding angles equal → Corresponding sides proportional → Similar triangles.

  • Corresponding sides proportional → Corresponding angles equal → Similar triangles.

  • One angle equal → Sides proportional → Triangles similar.

  • Perpendicular from right angle vertex → Similar triangles.

  • Ratio of areas of similar triangles = Ratio of squares of corresponding sides.

  • Pythagoras theorem's converse.

One side's square equals sum of other two sides' squares → Angle opposite is right angle.

  • Circles

Tangents at point of contact:

  • Tangent perpendicular to radius from point of contact.

  • Lengths of tangents from external point are equal.

Unit V: Trigonometry

Introduction to Trigonometry

  • Trigonometric ratios of acute angles, their existence and values.

Relationships between trigonometric ratios.

  • Trigonometric Identities

Proof and applications of sin²A + cos²A = 1.

  • Heights and Distances: Angle of Elevation, Angle of Depression

  • Simple problems involving heights and distances with angles of elevation and depression limited to 30°, 45°, 60°.

Unit VI: Mensuration

Areas Related to Circles

Area of sectors and segments of circles.

  • Problems on areas and perimeters/circumferences of plane figures.

Segment area problems restricted to central angles of 60°, 90°, 120°.

  • Surface Areas and Volumes

  • Surface areas and volumes of combinations involving cubes, cuboids, spheres, hemispheres, right circular cylinders/cones.

Unit VII: Statistics and Probability

Statistics

Calculation of mean, median, mode for grouped data (excluding bimodal situations).

  • Probability

  • Classical definition of probability.

  • Simple problems related to finding the probability of an event.

Why the Syllabus Matters

The CBSE Class 10 Mathematics Syllabus goes beyond numerical concepts; it fosters critical thinking, analytical reasoning, and the ability to approach problems methodically. The syllabus encourages students to engage in logical deduction, pattern recognition, and creative problem-solving. By mastering these skills, students not only excel in their academic endeavors but also develop valuable life skills that extend to various professions and situations.

The CBSE Class 10 Mathematics Syllabus serves as a roadmap to mathematical discovery and comprehension. It equips students with the knowledge and skills to navigate the world of numbers, shapes, and equations. Beyond academic success, the syllabus empowers students with the confidence to tackle challenges, make informed decisions, and contribute meaningfully to a mathematically enriched society. As students journey through the syllabus, they embark on a transformative experience that shapes their intellectual growth and equips them for a dynamic future.

CBSE Class 10 Maths Syllabus FAQs

Q1: Is class 10 CBSE Maths tough?

Ans. Difficulty varies for students, but it can be challenging for some.

Q2. What is deleted from CBSE Maths syllabus for Class 10?

Ans. Specific topics vary, but syllabus revisions may remove certain portions.

Q3. Which chapter is hardest in class 10 Maths ?

Ans. The perception of difficulty varies, but "Geometry" is often considered challenging.

Q4. How many chapters are there in CBSE 10th Maths?

Ans. CBSE Class 10 Maths typically comprises around 15 chapters.

Q5. Why is the CBSE Class 10 Maths Syllabus important?

Ans. The syllabus lays the foundation for mathematical concepts, logical reasoning, and problem-solving skills, preparing students for exams and higher studies.

 

Share Article
fb
twitter
tube
linkedin
Related Articles
Unlck10 hrsworth ofFree content in10 secs
Get instant access to high-quality material
globe
We understand that every student has different needs and capabilities, which is why we create such a wonderful and unique curriculum that is the best fit for every student.
Company
News & Media
Blogs
About Us
Contact Us
Careers
Follow Us On:
fb
insta
tube
twitter
linkedin
Know About PW Gulf
PW Gulf is a widespread network of exam preparation centers in the Gulf, offering a range of courses designed to help students achieve their academic goals. With experienced faculty and advanced technology, PW Gulf supports students in preparing for JEE, NEET, and other competitive exams, contributing to the evolving education landscape in the GCC.
We Stand Out Because
Our pedagogy is driven by a clear mission: student success. To achieve this, we have carefully selected experienced subject experts who are skilled in teaching, addressing doubts, and clarifying concepts effectively. We leverage advanced technology to make learning accessible and seamless, enabling students and teachers to connect easily through their smartphones. With resources like Mock Tests, DPPs with Solutions, Study Material, and more, PW Gulf aims to support students in their competitive exam preparation journey.
Our Key Focus Areas
PW Gulf focuses on fostering curious learning, problem-solving, logical thinking, and empowering students to strive for success. Through comprehensive preparation in Chemistry, Physics, Mathematics, and more, students are provided with the tools and resources to develop a deeper understanding of each subject and work toward greater academic independence.
What Makes Us Different
At PW Gulf, student success is achieved through personal attention given by experienced teachers so that at no point does the connection in learning get disconnected. With open communication, every student has the opportunity to prepare well beforehand and become proficient in every subject.
Terms & ConditionsPrivacy Policy
Copyright © 2025 Physics Wallah Pvt. Ltd. All rights reserved.