CBSE Class 10 Mathematics Syllabus are released by Central Board of Secondary Education (CBSE). For a better preparation, students must thoroughly go through the latest syllabus and marking scheme. Otherwise, students may be confused, from which part or chapter they should start first. A PDF of the Class 10 Mathematics Syllabus is given below. So, directly download it and utilize for better study strategy. Students must always know, which chapters are more important and which chapter contain maximum marks. So, they will have the better idea to prepare for a better study plan.
Class 10 Board are a crucial step for all the students as it the first board exam. So, it should taking very seriously and need a properly study plan strategy. Always focus on the latest syllabus and marking scheme for a better plan. You can also download the latest CBSE class 10 Mathematics syllabus from the CBSE official website – cbse.gov.in
A direct link to download Class 10 Mathematics Syllabus PDF Free Download is also provided below for the students.
CBSE Class 10 Mathematics Course Structure 2023-24
Class 10 Mathematics has many parts so its important to know the subject-wise weightage for better preparation. Here’s the course structure with mark weightage for your better preparation.
| Unit | Unit Name | Marks |
| I | NUMBER SYSTEMS | 06 |
| II | ALGEBRA | 20 |
| III | COORDINATE GEOMETRY | 06 |
| IV | GEOMETRY | 15 |
| V | TRIGONOMETRY | 12 |
| VI | MENSURATION | 10 |
| VII | STATISTICS & PROBABILITY | 11 |
| TOTAL | 80 |
CBSE Class 10 Mathematics Syllabus 2023-24
Here’s a detailed structure of CBSE Class 10 Mathematics syllabus 2023-24:
UNIT 1: NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5
UNIT 2: ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
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, by elimination. Simple situational problems.
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula.
Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.
4. ARITHMETIC PROGRESSIONS
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.
UNIT 3: COORDINATE GEOMETRY
1. Coordinate Geometry
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.
- (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.
2. CIRCLES
Tangent to a circle at, point of contact
- (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.
UNIT 5: TRIGONOMETRY
1. INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300 , 450 and 600. 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: Angle of elevation, Angle of Depression.
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.
UNIT 6: MENSURATION
1. AREAS RELATED TO CIRCLES
Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.
2. SURFACE AREAS AND VOLUMES
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
UNIT 7: STATISTICS AND PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
CBSE Class 10 Mathematics Internal Assessment
Here’s a detailed information about CBSE class 10 Mathematics internal assessment:
| Internal Assessment | Total – 20 Marks |
| Pen Paper Test and Multiple Assessment (5+5) | 10 Marks |
| Portfolio | 05 Marks |
| Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |
CBSE Class 10 Mathematics Syllabus 2023-24 PDF Download
A complete CBSE Class 10 Mathematics syllabus, course structure, course content, project details, mark distribution and many more is given below in PDF format for free download.