CBSE Board releases New CBSE Class 10 Mathematics Syllabus 2022-23 for Board Exam 2023. We provide all important topics about CBSE Class 10 Maths Syllabus 2022-23 for Academic Session 2022-23.

Mathematics is one of the scoring subjects for many students in class 10th. The CBSE Board had changed the CBSE Class 10 Syllabus of Mathematics from time to time according to the growth of the subject and the emerging needs of society. The present CBSE Mathematics Syllabus for Class 10 has been designed as per the National Curriculum Framework 2005.

CBSE Class 10 Aspirants can check CBSE Class 10 Mathematics Syllabus 2022-23 in detail from the official website of CBSE or Read this article till the end for complete information regarding CBSE Class 10th Mathematics Syllabus 2022-23. We also provide a downloadable pdf link to download CBSE Class 10 Mathematics Syllabus 2022-23.

**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 |

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

- 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 for Board Exam 2023**

- 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.

**CBSE Class 10 Mathematics Syllabus 2022-23 Download PDF**

**Importance of CBSE Class 10 Mathematics Syllabus 2022-23**

The **Latest Secondary Curriculum** in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject and the emerging needs of society. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in the Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of students. For motivating the teacher to relate the topics to real-life problems and other subject areas, greater emphasis has been laid on the applications of various concepts.

The curriculum at the Secondary stage primarily aims at enhancing the capacity of students to employ Mathematics in solving day-to-day life problems and studying the subject as a separate discipline. It is expected that students should acquire the ability to solve problems using algebraic methods and apply the knowledge of simple trigonometry to solve problems of height and distance.

Carrying out experiments with numbers and forms of geometry, framing hypotheses, and verifying these with further observations form an inherent part of Mathematics learning at this stage. The proposed curriculum includes the study of number systems, algebra, geometry, trigonometry, mensuration, statistics, graphs, coordinate geometry, etc.

The teaching of Mathematics should be imparted through activities that may involve the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles, and experiments.

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