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# Maharashtra SSC Class 10 Maths Board School Prelim Sample Question Papers

Mathematics is a methodical subject in nature and makes the student’s life, studying the subject, methodical and orderly. There are certain qualities nurtured by Mathematics such as the power of reasoning, creativity, spatial and critical thinking, ability to solve problems and having good communication skills. Mathematics prepares you for diverse range of careers such as Engineering, Teaching, Probationary Officers, Management, Accountancy, Statistics, Insurance etc. Mathematics opens up many avenues for a promising career. Hence expertise in Maths is essential from start itself.

Maharashtra Class 10 SSC Board Maths being a predominant subject requires intensive practice by students. Many students develop a phobia from Mathematics but it is just the preconception and ignorance of students that makes the subject difficult. Mathematics has proved to be the top scoring subject among various other subjects of many students.

The greatest hurdle in the process of learning mathematics is the lack of practice of the subject. We at TestPaperz help students in overcoming this hurdle by providing a thorough practice and revision of the subject by aggregating Previous Year Maharashtra SSC Class 10 Board Question Papers. We have also aggregated various Maharashtra SSC Class 10 sample school prelim exam question papers for the students which are free to download. Click below to download:

Previous Year Maharashtra SSC Class 10 Maths Board Question paper

Previous Year Maharashtra SSC Class 10 Maths School Prelim Question paper

Maharashtra SSC Class 10 Mathematics syllabus includes the study of

**Algebra**

**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

**Quadratic Equations**:

- Introduction to quadratic equations
- Solutions of quadratic equations
- Nature of roots based on discriminant
- Relation between roots of the equationand coefficient of the terms in the equation Equations reducible to quadratic form
- 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

**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)

**Statistics** :

- Brief about Tabulation of data, inclusive and exclusive type of tables
- Mean, Mode and median of grouped data
- Histograms, pie diagram frequency polygon, frequency curve,
- 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**

**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
- 30 degrees-60degrees-90degrees theorem and 45 degrees-45 degrees-90 degrees theorem
- Application of Pythagoras theorem in acute and obtuse angle
- Appolonius theorem

**Circle** :

- Tangents and their properties
- Theorem of Circle: Tangent to any point of the circle is perpendicular to the radius and its reverse
- Number of tangents from a point to a circle
- Theorem of Circle- The length of two tangent segments drawn from a point outside the circle are equal
- Touching circles
- Arc and its introduction
- Angle subtended by the arc to the point on the circle and to the centre
- Inscribed or Cyclic quadrilateral
- Tangent - Secant theorem

**Co-ordinate Geometry** :

- Slope of a line
- Intercepts made by a line
- Standard forms of equation of a line
- General equation of a line. ·

**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

**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

**Menstruation** :

- Arc Length
- Area of the sector and a Circular segment
- Euler's formula
- Surface area and volume of cuboids, right circular cylinders cones, hemispheres, Spheres, frustum of a cone.
- Problems related to areas and perimeter (circumference) of a circle, segment and sector of a circle.
- Problems on determining surface areas and volumes of any two of the following in combination such as spheres, cuboids, hemispheres, right circular cylinders and right circular cones
- Problems one type of metallic solid is converted into another.

For detailed syllabus please refer to Maharashtra Board SSC Class 10 Website

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