The board has already released the whole of the mathematics syllabus and we have provided here all that you may need to know about the **Maharashtra Board Class 10th Maths Syllabus**.

The students are also advised that they prepare for their examinations just according to the examination syllabus as this will be the most helpful and the most adequate way to prepare for the examination.

**NCERT Class 10th Textbooks ****|| NCERT Sample Papers**

## Maharashtra Board Syllabus: Maths

Division | Topic | Sub- Topic |
---|---|---|

Algebra | Arithmetic Progression | Introduction To Sequence |

Arithmetic Progression (A.P.) and Geometric Progression (G.P.) | ||

General Terms Of AP and GP. | ||

Sum Of the First ‘n’ terms of an AP and GP. | ||

Arithmetic Mean and Geometric Mean. | ||

Quadratic Equation | Introduction to quadratic equations. | |

Nature of roots Discriminant. | ||

Solutions of quadratic equations | ||

Relation between the roots of the equation and coefficient of the terms in the equations reducible to quadratic form. | ||

Probability | Introduction to probability and related terms. | |

Classical definition of probability. | ||

Types of event. | ||

Equally likely outcomes | ||

Probability of an event. | ||

Properties of probability. | ||

Addition theorem (Without Proof). | ||

Statistics | Brief revision of tabulation of data inclusive and exclusive type of table. | |

Mean, Median and Mode of grouped data. | ||

Histograms, frequency polygon, frequency curve, pie diagram. | ||

Ogives (cumulative frequency graphs). | ||

Applications of ogives in determination of median. | ||

Relation between measures of central tendency. | ||

Introduction to normal distribution. | ||

Properties of normal distribution. | ||

Linear Equation in Two Variable | System of linear equations in two variables | |

Algebraic methods of solving linear equations in two variable | ||

Graphical representation of different possibilities of solutions/Inconsistency | ||

Graphical method of solving a system of linear equations | ||

Determinant of order two | ||

Cramer’s rule | ||

Consistency of pair of linear equations | ||

Geometry | Similarity | Properties of ratios of areas of two triangles. |

Basic proportionality theorem. | ||

Introduction to similarity. | ||

Similar triangles. | ||

area of 2 similar triangles. | ||

Similarity in right-angled triangles. | ||

Pythagoras theorem and its converse theorem (30-60-90 theorem and 45-45-90 theorem). | ||

Application of Pythagoras theorem in acute and obtuse angle. | ||

Apollonius theorem. | ||

Circle | Tangents and its properties. | |

Theorem- Tangent at any point to the circle is perpendicular to the radius and its converse. | ||

Number of tangents to a point to a circle. | ||

Theorem- The length of two Tangent segments drawn from a point outside the circle are equal. | ||

Touching Circles. | ||

Introduction to an arc. | ||

Angle Subtended by the arc to the center and to the point on the circle. | ||

Cyclic quadrilateral. | ||

Tangent-Secant theorem. | ||

Co-ordinate Geometry | Slope of a line. | |

Intercepts made by a line. | ||

Standard forms of equation of a line. | ||

General equation of a line. | ||

Geometric Constructions | Division of the line segment in a given ratio. | |

Basic geometric constructions. | ||

Construction of tangent to the circle from the point on the circle and outside the circle. | ||

Construction of a tangent without using the center. | ||

Construction of a triangle similar to a given triangle. | ||

Construction of triangle If the base, angle apposite to it and either median altitude is given | ||

Trigonometry | Angles in standard position. | |

Trigonometric ratios regarding coordinates of point. | ||

Trigonometric Identities (With Proof). | ||

Use of basic identities and their applications. | ||

Problems on height and distance. | ||

Menstruation | Length of an arc. | |

Area of the sector. | ||

Euler’s Formula. | ||

Surface area and volume of cuboids Spheres, hemispheres, right circular cylinders cones, frustum of a cone. | ||

Area of a Circular Segment | ||

Problems Based on areas and perimeter/ circumference of circle, Sector, and segment of a circle. | ||

Problems in finding surface area and volumes of combinations of any two of the following: Cuboids, spheres, hemisphere, and right circular cylinders and cones. ` | ||

Problems involving the conversion of one type of metallic solid into another. |

### General Mathematics Syllabus

Just like the mathematics, the syllabus of the General Mathematics has been released by the board and the students may find all that they need to know about the **General Mathematics Class 10th Syllabus**. The students are also advised to make sure that they do all the preparations as per the syllabus that is released by the board.

Part-1 | ||
---|---|---|

Unit Name | Chapter Name | Topics |

Arithmetic | Variation | Introduction |

Types of variation | ||

Time, Work And Speed | ||

Sequences | Introduction | |

Patterns of numbers | ||

Progressions | ||

Arithmetic Progressions | ||

Commercial Mathematics | Modern marketing technique | Discount |

Rebate | ||

Commission | ||

Brokerage | ||

Installment | ||

Taxes and Investments | Introduction | |

Sales Tax | ||

VAT | ||

Income Tax | ||

Investments | ||

Bank investments | ||

Post investments | ||

Life Insurance | ||

Shares And Mutual Funds | ||

Algebra | Linear equation in two variables | Introduction |

Solution of equation in two variables | ||

Methods of solving linear equation in two variables | ||

Quadratic equations | Introductions | |

Solution of quadratic equations | ||

Methods of Solving. | ||

Part -2 | ||

Geomatery | Similarity | Introduction |

Test of similarity | ||

Properties of similar triangles | ||

Basic Proportionality Theorem | ||

Similarity in right-angled triangles | ||

Pythagoras theorem statement | ||

Pythagorean Triplets | ||

Application of Pythagoras theorem | ||

Apollonius Theorem | ||

Circle | Introduction | |

Terms related to circle | ||

Properties of a chord | ||

Properties of tangents | ||

Arc of circle | ||

Trigonometry | Basic concepts in trigonometry | |

Problems related to hight and distance | ||

Constructions | Geometric Constructions | Constructions of the incircle of a triangle |

Tangents to the circle | ||

Construction of circumcircle o triangle | ||

Tangents to the circle | ||

Construction related to design | ||

Mensuration | Surface Area and Volume | Parallelopiped |

Rectangular Parallelepiped | ||

Cube | ||

Cylinder | ||

Cone | ||

Sphere and Hemisphere | ||

Statistics | Statistics | Representation of data |

Histogram | ||

Frequency polygon | ||

Pie Diagram | ||

Measures of central tendency for grouped data | ||

probability |

**Maharashtra SSC Mathematics SyllabusPDF: Maths || General Maths**

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**Check Here: NCERT Solutions || Maharashtra Board SSC Model Papers**