Maharashtra SSC Syllabus 2022 General Maths

General Mathamatics

Introduction : avoided while restrucuring the syllabus of
Mathamatics is the language of all General Mathamatics. The topics selected
sciences It is important to note that the are useful to develop knowledge,
subject itself has a separate identity in the understanding skill and application which will
life of human beings. The study of enable the students to cope confidently with
Mathematics has to be graded at different the developments in the modern world.
levels viz. primary, secondary and higher OBJECTIVES
secondary. At the primary level the focus in
· Consolidate the knowledge and skills
on understanding the various concepts and
acquired in Mathematics at primary
fundamentals and on developing basic skills
stage.
of calculation. At the secondary level the
emphasis is on developing the capacity of · Acquire the knowledge and skills
the student to apply mathamatics in solving required for various competitive
problems. examinations.
As curriculum renewal is a continuos · Acquire the skills required for various
proces, the curriculum of Mathamatics has professions where minimum
also undergone several changes from time qualification is Standard X.
to time in accordance with the changing
· Acquire the skills in Mathematics
needs of the society. Inresponse to the
required for self employment.
demand of the society after diliberation of
Government and Maharashtra State Board · Expertise in basic Mathematical skills.
of Secondary and Higher Secondary Build the confidence and develop
·
Education, the Board has taken decision to creative interest in Mathematics.
implement Mathamatics at two levels from
the year 2008 viz. Mathamatics (Algebra and · Use the available modern technology
Geometry) and General Mathamatics. to understand the concepts in
Mathematics
The Board has restruetried the syllabus
of Mathamatics for std. IX and X on the · Understand and use the terms, symbols,
directives of NCF 2005 and SCF 2010 with principles in Mathematics.
a new perspective. The syllabus has been · Apply mathematical knowledge to solve
designed to foser a sense of personal problem in real life situations.
achievement and to encourage the continuing
creative interact so as to overcome · Develop the skill of drawing through
Mathophobia among students. geometric constructions.

The logical proofs of the problems are · Think logically, analytically and use

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different techniques for problem solving. - Solutions of the equations
Std. IX - Word Problems
Part-I Part-II
Unit (I) - Arithmetic Unit (IV) - Geometry
1. Indices - 1. Lines, Angles and Plane -
- Introduction - Axioms
- Laws of indices - Parallel lines, perpendicular lines,
- Square and square root Coplanar lines, Transversal
- Properties of parallel lines
- Cube and cube root
- Angle, Types of angles
2. Ratio and Proportion -
- Pair of angles
- Introduction : Ratio 2. Triangles -
- Properties of ratios - Types of triangles
- Theorems on equal ratios - Medians, altitudes, angle bisectors,
- Proportion Perpendicular bisectors of sides of
Unit(II) - Commercial mathematics triangles
- Congurence of triangles
3. Profit and Loss -
- Properties of triangles
- Introduction to profit and loss.
3. Quadrilaterals
- Percentage Profit - Types of quadrilaterals
- Percentage Loss - Properties of particular quadrilateral
4. Interest, Banking and Currency - Unit (V) - Construction
- Simple interest 4. Geometric Constructions
- Compound interest - Basic constructions
- Construction of triangle
- Growth and decay
- Construction of quadrilateral
- Banking and Currency exchange
- Constructions to the design related
Unit (III) - Algebra Unit (VI) - Mensuration
5. Algebraic expression 5. Measurement and Area
- Identities - Measurement of the length, weight
- algebraic expression and capacity
- Operations on algebraic - Perimeter and Areas
- Area of circle and circumference
expressions
Unit (VII)th - Statistics
- Polynomials, Factors of quadratic
6. Statistics
polynomial - Collection of data
6. Linear equations in one variable - Types of data
- Introduction - Classification of data
- Representation of data

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- Measures of central Tendency for 5 Linear equations in two variables
ungrouped data - Introduction
Std. X - Solution of equations in two
Part-I variables
Unit I - Arithmetic - Methods of solving linear equations
in two variables
1 Variation -
- Introduction 6 Quadratic equations -

- Types of variation - Introduction

- Time, work and speed - Solution of quadratic equations

2 Sequences - - Methods of solving quadratic
equations
- Introduction
Part-II
- Patterns of numbers
Unit IV - Geometry
- Progressions
- Arithmetic Progressions 1. Similarity

Unit II - Commercial Mathematics - Introduction

3 Modern marketing techniques - - Test of similarity

- Discount - Properties of similar triangles
- Rebate - Basic proportionality theorem
- Commission - Similarity in right angled triangle.
- Brokerage Pythagoras theorem statement
- Instalments - Pythagorian Triplets
4 Taxes and Investments - - Application of Pythagoras theorem
a. Introduction - Appolloneous theorem
b. Sales tax 2. Circle -
c. VAT - Introduction
d. Income Tax - Terms related to circle
e. Investments - Properties of chords
i. Bank investment - Properties of tangents
ii. Post investment
- Arc of circle
iii. Life insurance
3. Trigonometry
iv. Shares and Mutual funds
- Basic concepts in Trigonometry
Unit III - Algebra
- Problems related to height and

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distance - Cone
Unit V - Constructions - Sphere and hemisphere
4. Geometric Constructions - Unit - Statistics
- Construction of incircle of triangle 6. Statistics
- Construction of circumcircle of - Representation of data
triangle - Histogram
- Tangents to the circle - Frequency polygon
- Construction related to design - Pie Diagram
Unit VI- Mensuration - Measures of central tendency for
5. Surface area and volume - grouped data
- Parallelopiped - Probability
- Rectangular parallelopiped
- Cube
- Cylinder

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