**Maharashtra State Board SSC Mathematics Syllabus 2024 Download: Class 10th Mathematics Syllabus PDF** – Maharashtra State Board has released Maharashtra State Board SSC Mathematics Class 10th Syllabus 2024 PDF on the official website @https://www.mahahsscboard.in/. In this article, you will find the latest and updated syllabus for the Maharashtra State Board SSC Mathematics Class 10th exam 2024.

**Maharashtra Board SSC Mathematics subject: Marking Scheme**

Type of Questions | Marks without options | Marks with options |

One mark based questions | 5 | 6 |

Two marks based questions | 8 | 12 |

Three marks based questions | 9 | 15 |

Four marks based questions | 8 | 12 |

Five marks based questions | 10 | 15 |

Total | 40 | 60 |

**Maharashtra Board SSC Class 10 Mathematics Syllabus 2024**

**Algebra Chapters**

**Chapter 1: Arithmetic Progression**

- Introduction to Sequence
- Arithmetic Progression (A.P.) and Geometric Progression (G.P.)
- General term of an A.P. and G.P.
- Sum of the first ‘n’ terms of an A.P. and G.P.
- Arithmetic Mean and Geometric Mean

**Chapter 2: Quadratic Equations**

- Introduction to quadratic equations
- Solutions of quadratic equations
- Nature of roots based on discriminant
- Relation between roots of the equation and coefficient of the terms in the equation Equations reducible to quadratic form

**Chapter 3: Linear equations in two variables**

- System of linear equations in two variables
- Algebraic methods of solving linear equations in two variables
- 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

**Chapter 4: Probability**

- Introduction to probability and related terms
- Classical definition of probability
- Types of events
- Equally likely outcomes
- Probability of an event
- Properties of Probability
- Addition theorem (without proof)

**Chapter 5: Statistics**

- Brief revision of Tabulation of data, inclusive and exclusive type of tables
- 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

**Geometry Chapters**

**Chapter 1: Similarity**

- Properties of ratios of areas of two triangles
- Basic proportionality theorem
- Introduction to similarity
- Similar triangles
- Areas of two similar triangles
- Similarity in right angled triangles
- Pythagoras theorem and its converse
- 30o-60o-90o theorem and 45 o-45 o90 o theorem
- Application of Pythagoras theorem in acute and obtuse angle
- Apollonius theorem

**Chapter 2: Circle**

- Tangents and its properties
- Theorem – Tangent at any point to the circle is perpendicular to the radius and its converse
- Number of tangents from 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 centre and to the point on the circle
- Cyclic quadrilateral
- Tangent – Secant theorem

**Chapter 3: Co-ordinate Geometry**

- Slope of a line
- Intercepts made by a line
- Standard forms of equation of a line
- General equation of a line

**Chapter 4: Geometric Constructions**

- Division of 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 tangent without using centre
- Construction of triangle If the base, angle apposite to it and either median altitude is given Construction of a triangle similar to a given triangle

**Chapter 5: Trigonometry**

- Angles in standard position
- Trigonometric ratios in terms of coordinates of point
- Trigonometric Identities (with proof)
- Use of basic identities and their applications
- Problems on height and distance

**Chapter 6: Mensuration**

- Length of an arc
- Area of the sector
- Area of a Circular Segment
- Euler’s formula
- Surface area and volume of cuboids Spheres, hemispheres, right circular cylinders cones, frustum of a cone
- Problems based on areas and perimeter/circumference of circle, sector and segment of a circle
- Problems on finding surface areas and volumes of combinations of any two of the following: cuboids, spheres, hemispheres and right circular cylinders/ cones
- Problems involving converting one type of metallic solid into another