Maharashtra Board (MSBSHSE) Class 10 Maths Syllabus – Latest 20222023
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Mathematics is a subject that students have always found very intimidating. Students need to have a solid understanding of it to perform well in exams. Extramarks, therefore, provides students with the comprehensive syllabus for the Maharashtra Board Class 10 Maths exam. It provides students with the proper guidance and practice. Extramarks is providing students with Maharashtra Board Class 10 Maths Syllabus, which will make it easy for students to go through the topics that will be covered in the ongoing academic year. The syllabus also provides a clear understanding of the topics that have been omitted from the syllabus.
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ToggleMaharashtra SSC Board Physics Syllabus for Class 10
Physics is one of the subjects that require a lot of practice. Students need proper basic concepts and good problemsolving skills to score well in a subject like Physics. The first step that students should take before starting to learn the subject is going through its syllabus so that they can get a hold of the topics that they will have to study.
It becomes a crucial subject for students if they plan to pursue a science field of study after finishing Class 10 because the Physics curriculum for the Maharashtra board’s Class 10 covers several significant topics.
Maharashtra Board (MSBSHSE) Maths 20222023 Syllabus for Class 10
The SSC Class 10 Maths Syllabus 20222023 is divided into two sections, the first one is Algebra and the second one is Geometry. The board examination is of 80 marks in total, out of which the topic weightage for Algebra is 40 marks and Geometry is 40 marks.
The Maharashtra Board Class 10 Maths Syllabus for Algebra includes Arithmetic Progression, Quadratic Equations, Linear Equations in Two Variables, Probability and Statistics. Whereas, Geometry includes Similarity, Circle, Geometric Constructions, Coordinate Geometry, Trigonometry and Mensuration.
The Syllabus for Maharashtra Board Class 10 (SSC) Maths is Available for Download at Extramarks
The course of Mathematics for Class 10 introduces a wide range of important concepts of Mathematics. In Class 10 students need to have strong and clear basic concepts so that they score good grades and also apply them in the future. It is very important to know and understand the topics that are to be covered and for that Extramarks is providing students with Maharashtra Board Class 10 Maths Syllabus.
Along with studying, one of the most important things that a student of Class 10 needs to do is time management. Students do not have time to go through the internet or books to search for answers. Having access to handy and readily available notes can help students save crucial study time. Extramarks is a platform that provides students with complete access to K12 study material, also interactive study material and other benefits like Learn Practice Test, so that students enhance their knowledge and do not face any problems while studying.
Maharashtra Board Class 10 Maths Syllabus
Importance of Maharashtra Board (MSBSHSE) Class 10 Maths Syllabus (SSC)
Students are advised to go through all the topics that are there in the Maharashtra Board Class 10 Maths Syllabus. It is a very crucial year that clears the basic concepts of the students and shapes their mindset about their careers. By having a syllabus with them, they can keep a record of the topics they have already covered and so on. So basically, Maharashtra Board Class 10 Maths Syllabus provides a framework for the subject and makes it easier for the students to keep their studies organized.
There are many questions in a student’s mind appearing for the board examinations, like how to prepare, how to revise to increase retention, how to manage preparation time and improve time management, etc. The basic steps for all of this is going through the syllabus.
Mathematics Std IX and X
Introduction
Mathematics is the language of all sciences. Mathematics as a subject at the secondary level has great importance in a progressive country like India as it develops various life skills. The challenges caused by tremendous growth in the population, globalization, pollution, competitions between countries, natural disasters emphasise the need to develop the curriculum in Mathematics at the secondary level. Knowledge of the subject and skills acquired while learningMathematics helps in developing the ability to execute, manage, plan with precision. This could be effectively inculcated at the secondary level and hence Mathematics has got the pivotal place in the scheme of studies of secondary education.
Mathematics helps to develop decision making which is applicable to real life situations. In addition, it helps enormously in the development of the other disciplines which involves analysis, reasoning and adoption of innovative ideas. A study of the different applications of Mathematics at secondary level in various fields like science, geography, economics, social sciences etc. gives the student a comprehensive and global perspective.
The curriculum in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject to address the emerging needs of the society. The proposed syllabus for the state of Maharashtra has been designed by adopting all units and subunits from the respective syllabus of NCF 2005. The proposed curriculum includes the . study of Number system, Algebra, Geometry, Trigonometry, Mensuration, Statistics, Graphs and Coordinate geometry.
The teaching of Mathematics should be imparted through various activities which may involve the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles, experiments and through field visits and projects.
Objectives
To enable the students
 to consolidate the mathematical knowledge and skills acquired at the upper primary
 to acquire knowledge and understanding of mathematical terms, symbols, concepts principles and processes and
 to develop the ability to apply mathematical knowledge to solve problems in real life
 to develop analytical, logical thinking and problem solving abilities of
 to develop skills in drawing geometrical figures, diagrams, graphs, charts
 to identify the inter relationship between different parts of problems and draw logical
 to develop an interest in students to study mathematics as a
 to develop awareness of the need for national integration, protection of environment, by nuclear family removal of social barriers, elimination of sex
 to develop reverence and respect towards great mathematicians particularly towards Indian
Std. IX Algebra
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
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
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
4. Graphs :
 Cartesian coordinate system
 Understanding of graphs of lines parallel to axes
 Graph of line ax + by + c = o
5. Linear equations in two variables
 System of linear equations
 Solution of system of linear equations in two variables(Algebraic methods)
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
7. Statistics :
 Collection of data
 Classification and tabulation of data
 Diagramatic representation of data
 Graphical representation of data
 Mean, median, mode of ungrouped data
Geometry
1. Lines and Angles :
 Introductions to line
 Basic terms and definitions related to line
 Introduction to Euclid’s Geometry
 Plane seperation 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
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
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
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
 Congruence of circles
 Properties of chords of the circle
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
6. Coordinate Geometry :
 Distance formula
 Section formula
 Area of a triangle
7. Geometric constructions :
 Basic construction – perpendicular bisector of given
 Construction of a triangle
 Sum/difference of two sides and base angles is given
 Perimeter and base angles are given
8. Trigonometry :
 Introduction to trigonometric ratios
 Trigonometric Ratios of angles 0o, 30 o, 45 o, 60 o, 90 o
 Trigonometric identities for complementary angles
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 thesame
 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
 Perimeter of triangle and quadrilateral
 Area of circle
Std. X Algebra
1. Arithmetic Progression :
 Introduction to Sequence
 Arithmetic Progression (A.P.) and Geometric Progression (G.P.)
 General term of an P. and G.P.
 Sum of the first ‘n’ terms of an P. and G.P.
 Arithmetic Mean and Geometric
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
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
 Determinantof order two
 Cramer’s rule
 Consistency of pair of linear equations
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)
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
Geometry
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 o 90 o theorem
 Application of Pythagoras theorem in acute and obtuse
 Appolonius theorem
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
3. Coordinate Geometry :
 Slope of a line
 Intercepts made by a line
 Standard forms of equation of a line
 General equation of a
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 out side 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
5. Trigonometry :
 Angles in standard
 Trigonometric ratios in terms of coordinates of point
 Trigonometric Identities (with proof)
 Use of basic identities and their applications
 Problems on height and distance
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
 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
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FAQs (Frequently Asked Questions)
1. Why is the Maharashtra Board Class 10 Syllabus necessary?
The syllabus is necessary because students need to have a framework and a preview of the subject before starting to study the subjects. By doing this, no confusion will occur.
2. What are the advantages of the Maharashtra State Board Syllabus provided by Extramarks?
There are many advantages that students can take from the Maharashtra Board Class 10 Maths Syllabus. The syllabus provided by Extramarks reaches the students after a series of checks by many academic experts making it a credible source to access.
3. How does the Maharashtra Board Class 10 Maths Syllabus help the students in time management?
The Maharashtra Board Class 10 Maths Syllabus keeps the students updated about the topics that are added or deleted from the subject so that the students would not waste their time studying the extra topics or leave any important topic for the examination.
4. Are the textbooks of Mathematics enough to study the subject for the Maharashtra State Board Examinations?
Students should study Maths from their respective textbooks first, as it is the initial step in preparing a subject for the board examinations. After completing them, the students are advised to practice Maharashtra State Board Sample Papers and the Maharashtra State Board Question papers of the past years.