###### AMU Informations

10/07/2024###### How to Obtain and Fill the Application Form for Admission at Aligarh Muslim University (AMU)

20/07/2024###### AMU Informations

10/07/2024###### How to Obtain and Fill the Application Form for Admission at Aligarh Muslim University (AMU)

20/07/2024The Class 10th Mathematics syllabus for NCERT (National Council of Educational Research and Training) is designed to provide students with a solid foundation in mathematical concepts and skills. The syllabus is structured to enhance logical thinking, problem-solving abilities, and analytical skills. Below is an overview of the contents and syllabus for Class 10th NCERT Mathematics:

**Course Structure**

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 & Probability | 11 |

Total |
80 |

**Unit 1: Number Systems**

- Real Numbers
- Euclid’s Division Lemma
- The Fundamental Theorem of Arithmetic
- Revisiting Irrational Numbers
- Revisiting Rational Numbers and Their Decimal Expansions

**Unit 2: Algebra**

- Polynomials
- Zeros of a Polynomial
- Relationship Between Zeros and Coefficients of a Polynomial
- Division Algorithm for Polynomials

- Pair of Linear Equations in Two Variables
- Graphical Method of Solution
- Algebraic Methods of Solving Linear Equations (Substitution, Elimination, Cross-Multiplication)
- Equations Reducible to Linear Form

- Quadratic Equations
- Introduction to Quadratic Equations
- Solution of Quadratic Equations by Factorization and Completing the Square
- Nature of Roots

- Arithmetic Progressions
- Introduction to Arithmetic Progressions
- nth Term and Sum of n Terms of an AP

**Unit 3: Coordinate Geometry**

- Lines (In two dimensions)
- Concepts of Coordinate Geometry
- Graphs of Linear Equations
- Distance Formula
- Section Formula (Internal Division)
- Area of a Triangle

**Unit 4: Geometry**

- Triangles
- Similar Figures
- Similarity of Triangles
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Pythagoras Theorem

- Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle

- Constructions
- Division of a Line Segment
- Construction of Tangents to a Circle
- Construction of a Triangle Similar to a Given Triangle

**Unit 5: Trigonometry**

- Introduction to Trigonometry
- Trigonometric Ratios
- Trigonometric Ratios of Some Specific Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities

- Applications of Trigonometry
- Heights and Distances

**Unit 6: Mensuration**

- Areas Related to Circles
- Perimeter and Area of a Circle
- Areas of Sector and Segment of a Circle
- Areas of Combinations of Plane Figures

- Surface Areas and Volumes
- Surface Area and Volume of Solids (Cuboid, Cube, Cylinder, Cone, Sphere, Hemisphere)

**Unit 7: Statistics and Probability**

- Statistics
- Mean, Median, Mode of Grouped Data
- Cumulative Frequency Graph (Ogive)

- Probability
- Classical Definition of Probability
- Simple Problems on Single Events

The syllabus is subject to minor variations depending on the specific guidelines issued by the CBSE (Central Board of Secondary Education) or other state boards that follow the NCERT curriculum.