CBSE Class 10 Maths Syllabus 2023-24
Here we provide the latest CBSE Class 10 Maths Syllabus for 2023 24 academic years. You can also Download the new and revised CBSE math syllabus class 10 PDF. The Board had changed the CBSE Class 10 syllabus of Maths from time to time in accordance with the growth of the subject and the emerging needs of society. The current CBSE math class 10 syllabus has been designed in accordance with the National Curriculum Framework 2005.
Math is a scoring subject but needs a lot of practice and conceptual understanding of the topics. CBSE math syllabus class 10 helps you in understanding the important topics. You can also download the math syllabus class 10 CBSE 2023 24 pdf. We advise you to read the CBSE class 10 maths syllabus 2023 24 carefully.
Check the Class 10 Syllabus for other subjects
CBSE Class 9 Math Course Structure
Before going to the Class 9 Mathematics syllabus let’s discuss the course structure for class 9 maths. It will give you an idea of which chapter or unit is important in class 9th math syllabus 2023-24.
| 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 & Probabilty | 11 |
| Total | 80 |
CBSE Syllabus for Class 10 Maths 2023-24
The updated syllabus of CBSE class 10 math for 2023 24 is given below.
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 the irrationality of √2, √3, √5
UNIT 2: ALGEBRA
1. Polynomial
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 the number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.
3. Quadratic Equations
The standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using the quadratic formulas. Relationship between discriminant and nature of roots.
Situational problems based on quadratic equations related to day-to-day activities are 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, and 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, the 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 30°, 45°, and 60°. Relationships between the ratios.
2. Trigonometric Identities
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities are 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 the area of a segment of a circle, problems should be restricted to the 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
The classical definition of probability. Simple problems in finding the probability of an event.
Class 10 Maths Deleted Syllabus
In the below table, we provide the deleted CBSE Syllabus for Class 10 Maths. we advise you to note down the CBSE class 10 maths syllabus deletes portion for a better understanding of the subject.
| CHAPTER-WISE CBSE Class 10 maths Syllabus Analysis (2023-24) |
|---|
| Topics Added (✔️) | Topics Deleted (❌) |
| Chapter 1 – Real Numbers |
| ❌ Euclid’s division lemma ✔️ Proofs of the irrationality of √2, √3, √5. ❌ Decimal representation of rational numbers in terms of terminating/ non-terminating recurring decimals. |
| Chapter 2 – Polynomials |
| ❌ Statement and simple problems on division algorithms for polynomials with real coefficients. |
| Chapter 3 – Pair of Linear Equations In Two Variables |
| ❌ Solution of a pair of linear equations in two variables algebraically by cross multiplication method. ❌ Simple problems on equations reducible to linear equations. |
| Chapter 4 – Quadratic Equations |
| ❌ Graph of linear equations in two variables |
| Chapter 5 – Arithmetic Progressions |
| ❌ Applications based on the sum to n terms of an A.P. |
| Chapter 6 – Triangles |
| ❌ (Motivate) 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. ❌ (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. ❌ (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides, the other two sides, and the angle opposite to the first side is a right angle. ❌ (Prove) 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 7 – Lines |
| ❌ Area of a triangle |
| Chapter 8 – Introduction to Trigonometry |
| ✔️ Motivate the ratios whichever are defined at 0° and 90°. (Added in the 2020-21 reduced syllabus) ❌ Trigonometric ratios of complementary angles. |
| Chapter 9 – Circles |
| ❌ (Motivate) Alternate Segment theorem: If a chord is drawn through the point of contact of a tangent to a circle, then the angles made by the chord with the tangent are respectively equal to the angles subtended by the chord in the alternate segments. |
| ❌ Chapter 10 – Construction |
| Chapter 11 – Areas Related to Circles |
| ❌ Motivate the area of a circle ✔️ Calculate the area of the segment of a circle to a central angle of 120° ❌ Plane figures involving triangles, simple quadrilaterals and circles should be taken |
| Chapter 12 – Surface Areas and Volumes |
| ❌ Frustum of a cone ❌ Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combinations of not more than two different solids must be taken). |
| Chapter 13 – Probability– Nill |
| Chapter 14 – Statistics |
| ❌ Step deviation Method for finding the mean, Cumulative frequency graph. |
CBSE Class 10 Maths: Internal Assessment – 20 Marks
Components of internal assessment for CBSE Class 10 Maths include:
| Internal Assessment | 20 Marks |
|---|---|
| Pen Paper Test and Multiple Assessment (5+5) | 10 |
| Portfolio | 05 |
| Lab Practical (Lab activities to be done from the prescribed books) | 05 |
Question Paper Design – CBSE Class 10 Maths (Standard)
| Time – 3 Hours | Mathematics-Standard QUESTION PAPER DESIGN CLASS – X (2023-24) | Max. Marks – 80 | |
| S. No. | Typology of Questions | Total Marks | % Weightage (approx.) |
| 1. | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 43 | 54 |
| 2. | Applying: Solve problems in new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 19 | 24 |
| 3. | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations. Evaluating: Present and defend opinions by making judgments about information, the validity of ideas, or the quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 18 | 22 |
| Total | 80 | 100 |
Question Paper Design – CBSE Class 10 Maths (Basic)
| Time – 3 Hours | Mathematics-Basic QUESTION PAPER DESIGN CLASS – X (2023-24) | Max. Marks – 80 | |
| S. No. | Typology of Questions | Total Marks | % Weightage (approx.) |
| 1. | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 60 | 75 |
| 2. | Applying: Solve problems in new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 12 | 15 |
| 3. | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations. Evaluating: Present and defend opinions by making judgments about information, the validity of ideas, or the quality of work based on criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 08 | 10 |
| Total | 80 | 100 |
Prescribed Books for CBSE Board Class 10 Math:
There are books to cover the CBSE math class 10 syllabus
- Mathematics – Textbook for Class X – NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
- Laboratory Manual – Mathematics, secondary stage – NCERT Publication
- Mathematics exemplar problems for class X, NCERT publication.
The syllabus can be downloaded in PDF below so that students may use it anytime and anywhere at their convenience.
CBSE Class 10 Maths Syllabus Pdf
To Download CBSE Class 10th Maths Syllabus – Click Here
Benefits of the CBSE Class 10 Math Syllabus
A few Benefits of the Class 10 CBSE Syllabus are given below.
- CBSE 10th Maths class syllabus guide students of class 10 in their preparations.
- It gives the students an overview of important topics.
- It provides ample scope for holistic i.e. physical, intellectual and social development of students.
- It promotes Critical and Creative Thinking aligned to the 21st Century Skills in classrooms.
- It integrates environmental education in various disciplines from higher classes.