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23011 CBSE Class 10 Math 10 Years Question Papers – Here we are providing you CBSE Class 10 Math 10 Years Question Papers. As CBSE Class 10th Math exam approaches, studying strategies are needed more than ever. Math is thought of as one of the most boring subjects. While in class X the benefits of studying Math may not be apparent to you, rest assured there are definitely many benefits. Here are the question papers and some quick tips and points to remember in order to score well in your Math examinations.

## CBSE Class 10 Math 10 Years Question Papers

How to Score Good Marks in 10th Board Exams

Best Reference Books for Class 10 CBSE 2017-18

## CBSE Class 10 Math 2017-18 Syllabus

CBSE has issued Class 10 Mathematics Syllabus for and SA2 (essay 2, second term). SA1 syllabus comprises of 7 chapters and SA2 comprises of 9 chapters. This syllabus is applicable for all CBSE affiliated government and private schools.

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS
Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Proofs of irrationality. Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

UNIT II: ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.

UNIT III: GEOMETRY
1. TRIANGLES
Definitions, examples, counter examples of similar triangles.
a.  (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
b. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
c. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
d. (Motivate) If the corresponding sides of two triangles are proportional, their
corresponding angles are equal and the two triangles are similar.
e. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
f. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
g. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
h. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
i. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle.

UNIT IV: TRIGONOMETRY
1. INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0 and 90. Values (with proofs) of the trigonometric ratios of 30, 45 and 60. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

UNIT V: STATISTICS AND PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

UNIT II: ALGEBRA (Contd.)

Standard form of a quadratic equation ax2+ bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to
be incorporated.
4. ARITHMETIC PROGRESSIONS
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

Most Important Questions for Class 10 Math with Solutions

UNIT III: GEOMETRY (Contd.)
2. CIRCLES
Tangent to a circle at, point of contact
a. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
b. (Prove) The lengths of tangents drawn from an external point to a circle are equal.
3. CONSTRUCTIONS
a. Division of a line segment in a given ratio (internally).
b. Tangents to a circle from a point outside it.
c. Construction of a triangle similar to a given triangle.

UNIT IV: TRIGONOMETRY
3. HEIGHTS AND DISTANCES : Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.
UNIT V: STATISTICS AND PROBABILITY
2. PROBABILITY
Classical definition of probability. Simple problems on single events (not using set notation).

UNIT VI: COORDINATE GEOMETRY
1. LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

UNIT VII: MENSURATION
1. AREAS RELATED TO CIRCLES
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES
(i) Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.)

How to Score Good Marks in 10th Board Exams

CBSE Class 10 Syllabus 2017-18 pdf

Best Reference Books for Class 10 CBSE 2017-18

Time Table for Study for 10th Class

Social Science Class 10 Important Questions

Important Questions for Class 10 Math

Most Important Questions for Class 10 Math with Solutions

1. asha

thanks

2. Anonymous

Very informative

3. Aryan

Thnks

4. Murali

good information for coming class 10 students