Maharashtra SSC Maths Syllabus, Download Maharashtra Class 10th Mathematics Syllabus PDF and Check Exam Pattern
The Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE) is responsible for designing and implementing the curriculum for Class 10 students in Maharashtra. The Mathematics syllabus for Class 10 is carefully crafted to ensure that students build a strong foundation in various mathematical concepts, which are essential for higher education and daily life. Find the detailed overview of the Maharashtra Board 10th Maths Syllabus, breaking down the key topics, structure, and learning objectives to help students navigate their studies effectively.
Overview of Maharashtra Board 10th Maths Syllabus
The Maharashtra Board 10th Maths Syllabus is divided into various units that cover essential mathematical concepts. The syllabus aims to develop problem-solving skills, logical reasoning, and analytical thinking in students. It is structured to cater to different learning levels, ensuring that all students can grasp fundamental concepts and apply them effectively.
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Aspect
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Details
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Exam Mode
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Offline
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Medium
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Hindi & English
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Duration
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3 Hours
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Type of Questions
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Multiple Choice, Long/Short Questions
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Subjects
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English, Mathematics, Science, Social Science, and two optional language subjects
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Total Marks
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100
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Negative Marking
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No
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Theory Exam
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80
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Internal Assessment
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20
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Passing Marks
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33% Aggregate in Each Subject & Overall
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Maharashtra Board 10th Maths Topic Wise Syllabus
Part A: Algebra Chapters
Algebra
Algebra forms a significant portion of the 10th-grade syllabus, focusing on:
- Quadratic Equations: Introduction, standard form, solutions using factorization, and the quadratic formula.
- Arithmetic Progression (AP): Concept of AP, nth term, and sum of the first n terms.
- Linear Equations in Two Variables: Solutions of linear equations using graphical and algebraic methods.
- Polynomials: Degree of polynomials, the relationship between roots and coefficients, and division algorithm for polynomials.
Statistics
Statistics includes the study of:
- Mean, Median, and Mode: Calculation and interpretation of these measures of central tendency.
- Graphical Representation of Data: Histograms, frequency polygons, and ogives.
Probability
Probability is introduced as a measure of uncertainty, focusing on:
- Basic Probability Concepts: Probability as a measure of uncertainty, simple problems based on probability.
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Chapter
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Detailed Topics
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Chapter 1: Arithmetic Progression
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- 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
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Chapter 2: Quadratic Equations
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- 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
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Chapter 3: Linear Equations in Two Variables
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- 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
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Chapter 4: Probability
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- 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)
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Chapter 5: Statistics
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- 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
Geometry
Geometry is another crucial component of the syllabus, emphasizing:
- Circles: Tangents, theorems related to tangents, and properties of tangents drawn from a point outside the circle.
- Constructions: Construction of similar triangles, the division of a line segment, and tangents to a circle.
- Coordinate Geometry: Distance formula, section formula, and the area of a triangle.
- Triangles: Theorems related to similarity, Pythagoras theorem, and criteria for congruence.
Trigonometry
Trigonometry introduces students to:
- Introduction to Trigonometry: Trigonometric ratios and their relationships.
- Trigonometric Identities: Fundamental identities and their applications.
- Heights and Distances: Simple problems involving angles of elevation and depression.
Mensuration
Mensuration deals with the measurement of various shapes, covering:
- Areas of Plane Figures: Area and perimeter of triangles, quadrilaterals, and circles.
- Surface Areas and Volumes: Surface area and volume of cubes, cuboids, spheres, hemispheres, and cylinders.
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Chapter
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Detailed Topics
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Chapter 1: Similarity
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- 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
- 30°-60°-90° theorem and 45°-45°-90° theorem
- Application of Pythagoras theorem in acute and obtuse angle
- Apollonius theorem
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Chapter 2: Circle
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- 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
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Chapter 3: Co-ordinate Geometry
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- Slope of a line
- Intercepts made by a line
- Standard forms of equation of a line
- General equation of a line
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Chapter 4: Geometric Constructions
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- 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 opposite to it and either median or altitude is given
- Construction of a triangle similar to a given triangle
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Chapter 5: Trigonometry
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- 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
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Chapter 6: Mensuration
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- 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
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Maharashtra Board 10th Maths Exam Pattern
The mathematics exam is a three-hour assessment, carrying a total of 100 marks. It is divided into two sections:
- Section 1: Algebra – 40 marks
- Section 2: Geometry – 40 marks
The exam features a variety of question types, including multiple-choice, short-answer, and long-answer questions.
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Maharashtra SSC Mathematics Exam Pattern 2025
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Type of Questions
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Total Marks
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Weightage
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Number of Questions
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1 Mark Question
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5
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5
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5
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2 Marks Questions
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8
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4
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4
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3 Marks Questions
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9
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3
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3
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4 Marks Questions
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8
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2
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2
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5 Marks Questions
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10
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2
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2
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Theory Exam Pattern:
- Objective Questions: Multiple-choice, fill in the blanks, and match the following.
- Short Answer Questions: Questions requiring brief explanations or calculations.
- Long Answer Questions: In-depth problems that test the student's understanding of the topic.
Tips for Effective Preparation
- Understand the Concepts: Focus on understanding the underlying concepts rather than rote learning.
- Practice Regularly: Consistent practice is key to mastering Mathematics.
- Solve Previous Years' Papers: Familiarize yourself with the exam pattern and types of questions asked.
- Time Management: Practice solving questions within a set time to improve speed and accuracy.
Importance of Practicing Sample Papers
Practicing sample papers helps students to:
- Identify Weak Areas: Understand which topics need more revision.
- Improve Speed and Accuracy: Practice managing time effectively during exams.
- Build Confidence: Regular practice builds confidence and reduces exam anxiety.
Resources for Maharashtra Board 10th Maths
- Textbooks: Follow the prescribed textbooks for a detailed understanding of the syllabus.
- Online Resources: Utilize online platforms that offer video tutorials, quizzes, and practice questions.
- Reference Books: Consider using additional reference books for advanced practice.
The Maharashtra Board 10th Maths Syllabus is designed to lay a strong foundation in mathematics, preparing students for future academic challenges. By focusing on understanding concepts, practicing regularly, and utilizing the right resources, students can excel in their exams and build a solid mathematical foundation for the future.
Maharashtra Board 10th Maths Syllabus FAQs
Que 1. What is the duration of the Maharashtra SSC exam?
Answer: The Maharashtra SSC exam is conducted over a duration of 3 hours.
Que 2. What types of questions are included in the Maharashtra SSC exam?
Answer: The exam includes multiple-choice questions, as well as long and short answer questions.
Que 3. How is the total score distributed in the Maharashtra SSC exam?
Answer: The total score of 100 marks is divided into 80 marks for the theory exam and 20 marks for internal assessment.
Que 4. Is there any negative marking in the Maharashtra SSC exam?
Answer: No, there is no negative marking for incorrect answers in the Maharashtra SSC exam.
Que 5. What are the passing criteria for the Maharashtra SSC exam?
Answer: To pass the Maharashtra SSC exam, students must achieve at least 33% aggregate marks in each subject and overall.