# Maharashtra Board SSC Mathematics Syllabus for Board Exam 2020

The Maharashtra Board SSC students can get here complete syllabus of Mathematics subject including detailed topics for each paper and latest evaluation scheme.

Created On: Nov 26, 2019 15:05 IST
Modified On: Nov 26, 2019 15:30 IST
Maharashtra Board SSC Mathematics Syllabus

Maharashtra Board SSC Syllabus for Mathematics Subject is available here for Class 9th and Class 10th. The syllabus of Mathematics subject is provided here with latest pattern including evaluation scheme which will be implemented in the upcoming SSC Examinations 2020.

## Evaluation Scheme for 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 carry 80 marks weightage and the practical/project/viva are allotted 20 marks.
• The 80 marks of theory paper have been divided equally in two parts; 40 marks for Algebra and 40 marks for Geometry.
• The questions in both papers of Maharashtra Board SSC Mathematics subject 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 9th 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

Maharashtra Board Class 10th (SSC) Exam Timetable 2020

 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, co-terminal 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 10th 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

Class 9th students need to know these things now!

 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: 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

## Chapter-wise marking scheme for Maharashtra Board Class 10th 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: Co-ordinate Geometry 10 Chapter 4: Geometric Constructions 10 Chapter 5: Trigonometry 8 Chapter 6: Menstruation 10 Total 60