Central Board of Secondary Education (the most popular education board) has released the latest CBSE Class 10 Mathematics Syllabus 2023-24 on the official website at cbseacademic.nic.in or the direct link mentioned below in the article. All the important information regarding CBSE Class 10 Maths Syllabus 2023-24 is discussed in this article.

The latest and new pattern curriculum of Mathematics subject has undergone changes from time to time according to the development of the subject and the emerging needs of society. The present revised curriculum has been designed as per the National Curriculum Framework (NCF) 2005 and the guidelines given in the Focus Group on Teaching Mathematics to meet the emerging needs of all categories of students.

There is more emphasis on the applications of various concepts to motivate the teacher to relate the subjects to real-life problems and other subject areas.

**CBSE Class 10 Mathematics Syllabus 2023-24 Overview**

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 and Probability | 11 |

Total | 80 | |

Internal Assessment | 20 |

**CBSE Class 10 Maths Syllabus 2023-24: Topic-Wise Details**

**UNIT I: NUMBER SYSTEMS**

**REAL NUMBER (15) Periods**

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of the irrationality of root 2, root 3, and root 5.

**UNIT II: ALGEBRA**

**POLYNOMIALS (8) Periods**

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

**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 the number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.

**QUADRATIC EQUATIONS (15) Periods**

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.

**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**

**TRIANGLES (15) Periods**

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.

**CIRCLES (10) Periods**

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 V: TRIGONOMETRY**

**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 0 degrees and 90 degrees. Values of the trigonometric ratios of 30 degrees, 45 degrees, and 60 degrees. Relationships between the ratios.

**TRIGONOMETRIC IDENTITIES (15) Periods**

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities are to be given.

**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**

**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 the area of a segment of a circle, problems should be restricted to the central angles of 60°, 90°, and 120° only.

**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**

**STATISTICS (18) Periods**

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

**PROBABILITY (10) Periods**

The classical definition of probability. Simple problems in finding the probability of an event.

**MATHEMATICS-Standard QUESTION PAPER DESIGN CLASS 10 (2023-24)**

Question Typology | Total Marks | % Percentage Weightage |

Remembering: Display memory of previously learned material byMemorizing facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, explaining, describing, and stating the main idea | 43 | 54 |

Applying: Solving problems in new situations by applying acquiredknowledge, facts, techniques, and rules in a different way. | 19 | 24 |

Analysis:Examine and break down information by identifying objectives or Cause Make inferences and find evidence to support generalizations Evaluation:Present and defend opinions by making judgments about the validity of information, ideas, or quality of work based on a set of criteria. Creating:Piecing together information in a different way by combining elements into a new pattern or proposing alternative solutions | 18 | 22 |

Total | 80 | 100 |

**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

**MATHEMATICS-Basic QUESTION PAPER DESIGN CLASS 10 (2023-24)**

Question Typology | Total Marks | % Percentage Weightage |

Remembering: Display memory of previously learned material byMemorizing facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, explaining, describing, and stating the main idea | 60 | 75 |

Applying: Solving problems in new situations by applying acquiredknowledge, facts, techniques, and rules in a different way. | 12 | 15 |

Analysis:Examine and break down information by identifying objectives or Cause Make inferences and find evidence to support generalizations Evaluation:Present and defend opinions by making judgments about the validity of information, ideas, or quality of work based on a set of criteria. Creating:Piecing together information in a different way by combining elements into a new pattern or proposing alternative solutions | 08 | 10 |

Total | 80 | 100 |

Students of class 10 may download the CBSE 10th Mathematics Syllabus 2023-24 in PDF File from the link given below:

**CBSE Class 10 Maths Syllabus 2023-24 PDF**

**Also Read: CBSE Class 10 Syllabus 2023-24**

The curriculum at the secondary level primarily aims at enhancing the student’s ability to employ mathematics in solving problems of daily life and studying the subject as a separate subject. It is expected that students should acquire the ability to solve problems using algebraic methods and apply knowledge of simple trigonometry to solve height and distance problems.

Experimenting with numbers and forms of geometry, formulating hypotheses, and verifying these with further observations is an inherent part of learning mathematics at this level. The proposed curriculum includes the study of number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing and coordinate geometry, etc.

**PRESCRIBED BOOKS for CBSE Class 10 Maths Syllabus 2023-24**

- 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.

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