Maharashtra SSC Mathematics Question Paper 2026 PDF Download: Check Important Topics Here

1 Mark

5

1

5

2 Marks

4

2

8

3 Marks

3

3

9

4 Marks

2

4

8

5 Marks

2

5

10

Total (per paper)

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40

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 the median
- Relation between measures of central tendency
- Introduction to normal distribution
- Properties of normal distribution

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
- 30°-60°-90° theorem and 45°-45°-90° 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 opposite to it and either median or 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