Mathematics is a high scoring subject that can help the students in securing a good percentage in their class 10^{th} board exam. However, Mathematics as a subject requires a lot of hard work and practice as well. To start preparing for the mathematics exam, the students must be familiar with the **CBSE Class 10 syllabus 2024**. The mathematics syllabus of class 10^{th} includes various units like algebra, number system, coordinate geometry, etc. CBSE has resumed conducting class 10 exam in single term and the latest syllabus is now available.

The candidates going to appear for the CBSE class 10^{th} board exam should note that the board has different syllabus for internal assessment and theory exam. Complete details regarding the **CBSE Class 10 Mathematics syllabus 2024-25** is mentioned in the post below.

**CBSE 10**^{th} Class syllabus for Mathematics 2024-25 (Marking Scheme)

^{th}Class syllabus for Mathematics 2024-25 (Marking Scheme)

**Before we discuss the topics of the CBSE syllabus for class 10 Math you should have a look at the unit-wise marking structure of the Mathematics subject as given below.**

Unit Name | Marks |

Number Systems | 6 marks |

Algebra | 20 marks |

Coordinate Geometry | 6 marks |

Geometry | 15 marks |

Trigonometry | 12 marks |

Mensuration | 10 marks |

Statistics & Probability | 11 marks |

Total | 80 marks |

Internal Assessment | 20 marks |

Total | 100 marks |

**CBSE Class 10 Maths New Syllabus 2024-25**

**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 β 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 sin2A + cos2A = 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 30Β°, 45Β°, and 60Β°.

**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 60Β°, 90Β° and 120Β° 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 **

- Pen Paper Test and Multiple Assessment (5+5): 10 marks
- Portfolio: 5 marks
- Lab Practical (Lab activities to be done from the prescribed books): 5 marks

**List of 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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