Maharashtra SSC Math Sample Paper 2023-24: Download MSBSHSE Class 10 Math Sample Paper

Maharashtra SSC Math Sample Paper Part I 2020

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Maharashtra SSC Math Sample Paper Part II 2020

Maharashtra SSC Math Sample Paper Part II 2019

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Algebra

Arithmetic Progression

• Introduction to Sequence
• Arithmetic Progression (A.P.) and
• Geometric Progression (G.P.)
• General terms of an A.P. and G.P.
• The sum of the first 'n' terms of an A.P. and G.P.
• Arithmetic Mean and Geometric Mean.

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

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
• Determinantof order two
• Cramer's rule
• Consistency of a pair of linear equations

Probability

• Introduction to probability and related terms
• The classical definition of probability
• Types of events
• 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 tables
• Mean, median, and mode of grouped data
• Histograms, frequency polygon, frequency curve, pie diagram
• Ogives (Cumulative frequency graphs)
• Applications of ogives in the determination of median
• Relation between measures of central tendency
• Introduction to normal distribution
• Properties of normal distribution

Geometry

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 an acute and obtuse angle.
• Apollonius theorem

Circle

• Tangents and their 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 is 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 the equation of a line
• General equation of a line.

Geometric Constructions

• Division of a 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 center
• Construction of triangle If the base, angle opposite to it, and either median altitude is given
• Construction of a triangle similar to a given triangle

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 with height and distance

Menstruation

• 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 a circle, sector, and segment of a circle.
• Problems in 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.