Central Board of Secondary Education (CBSE) has released the latest CBSE Class 10 Mathematics Syllabus 2022-23 for the next CBSE Board Exam. All important topics related to CBSE Class 10 Maths Syllabus 2022-23 are discussed in this article. We provide a high-quality PDF of the CBSE Mathematics Syllabus 2022-23 Class 10. Use the below direct link to download CBSE Class 10 Mathematics Syllabus 2022-23 PDf.

Students of Class 10 must go through this latest CBSE Maths Syllabus thoroughly. Students of Class 10 can download the latest CBSE Mathematics Syllabus 2022-23 through the official website of CBSE at cbseacademic.nic.in or Direct link is given below in the article.

The syllabus of Mathematics subject has been changing from time to time according to the growth of the subject and the emerging needs of society. The present revised curriculum has been designed as per the National Curriculum Framework 2005 and the guidelines laid down in the Focus Group on Teaching of Mathematics, to meet the emerging needs of all categories of students. More emphasis is placed on the applications of various concepts to motivate the teacher to connect the subjects to real-life problems and other subject areas.

Also Read |** CBSE Syllabus 2022-23 for Class 9 and 10**

Also Read | **CBSE Syllabus 2022-23 for Class 11 and 12**

The main objective of the curriculum at the secondary level is to enhance the ability of the students to employ mathematics to solve the problems of daily life and to study the subject as a separate subject. It is expected that students will acquire the ability to solve problems using algebraic methods and apply knowledge of simple trigonometry to solve problems of heights and distances. Experimenting with numbers and forms of geometry, formulating hypotheses, and verifying them with further observations is an inherent part of learning mathematics at this stage. Proposed

Courses include the study of number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing and coordinate geometry, etc.

Mathematics should be taught through activities that may include the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles, and experiments.

**CBSE Class 10 Mathematics Syllabus 2022-23 Overview**

Let’s start the discussion with an overview of CBSE Class 10 Mathematics Syllabus 2022-23.

Units | Units 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 |

**Unit I: Number Systems**

**Real Number:** Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of the irrationality of

**Unit II: Algebra**

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

**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.

**Quadratic Equations:** 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 formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities to be incorporated.

**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 III: Coordinate Geometry (15 Periods)**

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

**Unit IV: Geometry (25 Periods)**

**Important Triangles Topics**

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 at different points, then the other two sides are divided in the same ratio.
- (Motivation) If a line divides two sides of a triangle in equal proportion, then that line is parallel to the third side.
- (Motivation) If the corresponding angles in two triangles are equal, then their corresponding sides are proportional and the triangles are similar.
- (Motivation) If the corresponding sides of two triangles are proportional, then their corresponding angles are equal and the two triangles are similar.
- (Motivation) If one angle of one triangle is equal to one angle of another triangle and the sides joining these angles are proportional, then the two triangles are similar.

**Important Circles Topics**

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 Topics**

**Introduction of 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 degrees, 45 degrees, and 60 degrees Relationships between the ratios.

**Trigonometric Identities:** 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. Simple problems with 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**

A**rea 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.

**Surface Area and Volume:** 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:** Mean, median, and mode of grouped data (bimodal situation to be avoided).**Probability:** The classical definition of probability. Simple problems on finding the probability of an event.

**Mathematics Class 10 Standard Question Paper Design 2022-23**

Typology of Questions | Total Marks | % Weightage (approx) |

Remembering: Exhibit memory of previously learned material byrecalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas byorganizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 43 | 54 |

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

Analyzing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizationsEvaluating: 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 |

**Internal Assessment Standard Mathematics Syllabus 2022-23**

- 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 Class 10 Basic Question Paper Design 2022-23**

Typology of Questions | Total Marks | % Weightage (approx) |

Remembering: Exhibit memory of previously learned material byrecalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas byorganizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 60 | 75 |

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

Analyzing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizationsEvaluating: 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. | 8 | 10 |

Total | 80 | 100 |

**Internal Assessment Basic Mathematics Syllabus 2022-23**

- 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:**

- Mathematics – Textbook for Class IX – NCERT Publication
- Mathematics – Textbook for Class X – NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication
- Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
- Laboratory Manual – Mathematics, secondary stage – NCERT Publication
- Mathematics exemplar problems for class IX, NCERT publication.
- Mathematics exemplar problems for class X, NCERT publication.

**CBSE Class 10 Maths Syllabus PDF Download**

Central Board of Secondary Education (CBSE) releases Secondary and **Senior Secondary School Curriculum 2022-23** for Class 9, 10, 11, 12. Students of classes 9 to 12 check least Secondary Curriculum 2022-23.

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