Maharashtra Board SSC Mathematics Syllabus
Maharashtra Board SSC Syllabus for Mathematics Subject is available here for Class 9^{th} and Class 10^{th}. The syllabus of Mathematics subject of Maharashtra Board Class 9^{th} and Class 10^{th} has been revised and new pattern including evaluation scheme is to be implemented from current academic session. Check here new syllabus of Maharashtra Board SSC Mathematics for Class 09^{th }and Class 10^{th} as well as evaluation scheme.
Evaluation Scheme of Maharashtra Board SSC Mathematics subject:
 There are two papers of Maharashtra Board SSC Mathematics subject i.e. Algebra and Geometry.
 The theory paper of Maharashtra Board SSC Mathematics will be carrying 80 marks weightage and the practical/project/viva are allotted 20 marks.
 The 80 marks theory paper has been allotted equally in two parts i.e. 40 marks for Algebra and 40 marks for Geometry.
 The questions in both paper OF Maharashtra Board SSC Mathematics paper will be as under –
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 Mathematics Syllabus –
Maharashtra Board Class 9^{th} Mathematics Syllabus –
Part A: Algebra Chapters 
Detailed Topics 
Chapter 1: Sets 
 Introduction
 Methods of writing sets
 Types of sets
 Subset  Proper, Improper subset
 Super set
 Universal set
 Venn diagrams
 Operations on sets
 Relations between various operations
 Number of elements in the set and related results

Chapter 2: Real Numbers 
 Revision of natural numbers, integers, rational numbers and irrational numbers
 Existence of irrational numbers and their representations on the number line
 Every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number
 Properties of real numbers
 Definition of nth root of a real number
 Surds  Definition
 Forms of surds
 Operations and Laws of surds
 Rationalization of Surds
 Absolute value of real numbers
 Euclid's division Lemma
 Fundamental theorem of Arithmetic

Chapter 3: Algebraic Expressions 
 Introduction to algebraic expression
 Operations on algebraic expressions
 Methods of factorization of algebraic expression
 Introduction to polynomials
 Operations on polynomials Value of polynomials
 Zeros/roots of polynomial
 Relation between zeros and coefficient of polynomials
 Remainder theorem
 Factor theorem

Chapter 4: Graphs 
 Cartesian coordinate system
 Understanding of graphs of lines parallel to axes
 Graph of line ax + by + c = o

Chapter 5: Linear equations in two variables 
 System of linear equations
 Solution of system of linear equations in two variables(Algebraic methods)

Chapter 6: Ratio, proportion and variation 
 Introduction to ratio
 Properties of ratio
 Properties of equal ratios
 Theorem on equal ratios
 Percentage as a ratio
 Introduction to proportion
 Introduction to variation
 Revision of concepts based on Direct variation, Inverse variation
 Mixed variation
 Real life problems based on ratio, proportion and variation

Chapter 7: Statistics 
 Collection of data
 Classification and tabulation of data
 Diagramatic representation of data
 Graphical representation of data
 Mean, median, mode of ungrouped data

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Part B: Geometry Chapters 
Detailed Topics 
Chapter 1: Lines and Angles 
 Introductions to line
 Basic terms and definitions related to line
 Introduction to Euclid's Geometry
 Plane separation axiom
 Introduction to angles in terms of rotation
 Directed angles, Sexagesimal system
 Types of angles
 zero angle, straight angle, coterminal angle · Relation between angles
 Introduction to mathematical proofs
 Parallel lines
 Results on parallel lines and transversal
 Tests of parallel lines
 Results on perpendicular lines
 Distance of a point from a line

Chapter 2: Triangles 
 Types of triangles
 Terms related to triangle
 Properties of triangle
 Exterior angles and corresponding interior opposite angles
 Results involving exterior angle and corresponding interior opposite angles
 Similar triangles

Chapter 3: Congruence of triangles 
 Criteria of congruent triangles
 Theorem of an isosceles triangle and its converse
 Perpendicular bisector theorem
 Angle bisector theorem
 Properties of triangles based on inequalities
 Property of perpendicular drawn from a point outside the line

Chapter 4: Circle 
 Introduction to circle and related terms
 Circle passing through the given points
 One and only one circle passes through the three non collinear points
 Congruence of circles
 Properties of chords of the circle

Chapter 5: Quadrilateral 
 Properties of quadrilateral
 Properties of parallelogram
 Properties of rectangle
 Properties of a trapezium
 Properties of a rhombus
 Properties of a square
 Kite
 Tests for particular quadrilateral
 Theorem on midpoints of two sides of a triangle and its converse

Chapter 6: Coordinate Geometry 
 Distance formula
 Section formula
 Area of a triangle

Chapter 7: Geometric constructions 
 Basic construction  perpendicular bisector of given segment
 Construction of a triangle – Sum/difference of two sides and base angles is given – Perimeter and base angles are given

Chapter 8: Trigonometry 
 Introduction to trigonometric ratios
 Trigonometric Ratios of angles 0o, 30 o, 45 o, 60 o, 90 o
 Trigonometric identities for complementary angles

Chapter 9: Mensuration 
 Area of triangle
 Area of regular hexagon, polygon
 Area of quadrilaterals
 If two parallelograms lie between two parallel lines and have the same base then they have the same area
 If a triangle and a parallelogram have the same base and lie between the same parallel lines, then the area of the triangle is half the area of the parallelogram
 Perimeter of triangle and quadrilateral · Area of circle

Maharashtra Board Class 10^{th} Mathematics Syllabus –
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

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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
 30o60o90o theorem and 45 o45 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: Coordinate 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: 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 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

Chapterwise marking scheme for Maharashtra Board Class 10^{th} Mathematics–
Part A: Algebra
Chapters 
Marks with options 
Chapter 1: Arithmetic Progression 
12 
Chapter 2: Quadratic Equations 
12 
Chapter 3: Linear equations in two variables 
12 
Chapter 4: Probability 
10 
Chapter 5: Statistics 
14 
Total 
60 
Part B: Geometry
Chapters 
Marks with options 
Chapter 1: Similarity 
12 
Chapter 2: Circle 
10 
Chapter 3: Coordinate Geometry 
10 
Chapter 4: Geometric Constructions 
10 
Chapter 5: Trigonometry 
8 
Chapter 6: Menstruation 
10 
Total 
60 