Maharashtra Board SSC Mathematics Syllabus 2024 - Download Class 10 Maths Syllabus PDF

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

Part A: Algebra Chapters

Detailed Topics

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

Part B: Geometry Chapters

Detailed Topics

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

Maharashtra Board SSC Mathematics Syllabus 2023-24