CBSE Syllabus 2023-24: CBSE will conduct the 2023-24 board exams with a revised syllabus focusing on competency-based questions. The CBSE Class 10 Maths Syllabus 2023-2024 is divided into 7 units: number systems, algebra, coordinate geometry, geometry, trigonometry, mensuration, statistics & probability, comprising 15 chapters. Students should familiarize themselves with the updated syllabus for the current academic session.
Other important things to look for in the CBSE Class 10 Maths Syllabus include:
- Weightage assigned to each unit
- Typology of questions suggested for the annual exam
- Question paper design
- Components of Internal Assessment
- Details of projects and assignments
You can read the complete syllabus here in this article and download the same in PDF from the link provided towards the end of the article. In addition to this, students can download important resources that will be very helpful for making preparations for the CBSE Class 10 Maths Exam 2024.
CBSE Syllabus 2023-24 Course Structure
Check unit-wise marks breakup that is to be followed for CBSE Class 10 Maths Board Exam 2024:
Units | 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 |
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. 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 a 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 ax^{2} + 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, 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 0^{o} and 90^{o}. Values of the trigonometric ratios of 30^{0}, 45^{0,} and 60^{0}. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin^{2}A + cos^{2}A = 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°.
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 angles 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.
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CBSE class 10 Maths Internal Assessment
(These internal assessment guidelines are applicable for both Maths Standard and Maths Basic)
Components | Marks |
Pen Paper Test and Multiple Assessment (5+5) | 10 |
Portfolio | 05 |
Lab Practical (Lab activities to be done from the prescribed books) | 05 |
Total | 20 |
CBSE Class 10 Maths (Standard) Question Paper Design
Check the typology of questions and marks weightage explained in the question paper design mentioned below:
Mathematics-Standard QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours 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 to new situations by applying acquired knowledge, facts, techniques, and rules in a different way. | 19 | 24 |
3. | Analyzing: 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, validity of ideas, or 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 |
CBSE Class 10 Maths (Basic) Question Paper Design
The question paper design for CBSE Class 10 Mathematics Basic is as follows:
Mathematics-Basic QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours 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 to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 12 | 15 |
3. | Analyzing: 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, validity of ideas, or 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 | 08 | 10 |
Total | 80 | 100 |
PRESCRIBED BOOKS for CBSE Board Class 10 Math:
(equally applicable for both Maths Standard and Maths Basic)
- 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.
You may download the CBSE board Class 10 Maths Syllabus in PDF from the following link:
CBSE Class 10 Maths Syllabus 2023-2024 PDF: Click |