Download **CBSE Class 10 Syllabus for Mathematics 2023 2024**. Refer to the latest syllabus provided below and free download latest curriculum of Class 10 for Mathematics issued by CBSE and NCERT, free download in pdf, get topic wise weightage, suggested readings and books based on latest syllabus and guidelines. The Mathematics Class 10 Syllabus curriculum has been developed and issued by CBSE and NCERT for Mathematics in Class 10. All students studying in Class 10 are suggested to go through latest syllabus to ensure that their preparation is as per the latest syllabus issued by **CBSE NCERT KVS**. Class 10 Mathematics students should do preparation for Mathematics exam strictly based on the latest curriculum and concentrate more on the topics with higher weightage to help them score higher marks in Class 10 Mathematics class tests and exams

## Class 10 Mathematics Syllabus

It is important for students to study as per the latest Class 10 Mathematics curriculum and marks breakup as per important topics. This will help to prepare properly for the upcoming examination. You can click on the following links to download the latest and past year syllabus provided by us below.

### Year Wise Mathematics Syllabus Class 10

**COURSE STRUCTURE CLASS –X**

**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 & PROBABILTY 11

** Total 80**

**UNIT I: NUMBER SYSTEMS**

**1. REAL NUMBER (15) Periods**

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of

**UNIT II: ALGEBRA**

**1. POLYNOMIALS (8) Periods**

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

**2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods**

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 (15) Periods**

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 (10) Periods**

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 III: COORDINATE GEOMETRY**

**Coordinate Geometry (15) Periods**

**Review:** Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

**UNIT IV: GEOMETRY**

**1. TRIANGLES (15) Periods**

Definitions, examples, counter examples of similar triangles.

1. (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.

2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

5. (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 (10) Periods**

Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

**UNIT V: TRIGONOMETRY**

**1. INTRODUCTION TO TRIGONOMETRY (10) Periods**

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 (15) Periods**

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. (10)Periods

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 VI: MENSURATION**

**1. AREAS RELATED TO CIRCLES (12) Periods**

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 (12) Periods**

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

**UNIT VII: STATISTICS AND PROBABILITY**

**1. STATISTICS ****(18) Periods**

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

**2. PROBABILITY (10) Periods**

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

**INTERNAL ASSESSMENT 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

**INTERNAL ASSESSMENT 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

**PRESCRIBED BOOKS:**

1. Mathematics - Textbook for class IX - NCERT Publication

2. Mathematics - Textbook for class X - NCERT Publication

3. Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication

4. Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication

5. Laboratory Manual - Mathematics, secondary stage - NCERT Publication

6. Mathematics exemplar problems for class IX, NCERT publication.

7. Mathematics exemplar problems for class X, NCERT publication.

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