## CBSE BOARD EXAM 2019

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Mathematics (041) Class X sample question paper with important question and solution for Cbse board exam 2018 -- click here

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## UNIT I: NUMBER SYSTEMS

1.  REAL NUMBER  (15) Periods

## UNIT II: ALGEBRA

2. POLYNOMIALS (7) Periods

#### Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods

#### 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.

5. ARITHMETIC PROGRESSIONS (8) Periods

## UNIT III: COORDINATE GEOMETRY ch -7

1. LINES (In two-dimensions) (14) Periods

## UNIT IV: GEOMETRY ch- 6,10,11

6. TRIANGLES (15) Periods

#### 9. (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.

10. CIRCLES (8) Periods

#### 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

11. CONSTRUCTIONS (8) Periods

## UNIT V: TRIGONOMETRY ch- 8 and 9

8. INTRODUCTION TO TRIGONOMETRY (10) Periods

#### Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values (with proofs) of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

TRIGONOMETRIC IDENTITIES (15) Periods

## UNIT VI: MENSURATION

12. AREAS RELATED TO CIRCLES (12) Periods

#### 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.)

13. SURFACE AREAS AND VOLUMES (12) Periods

## UNIT VII: STATISTICS AND PROBABILITY

14.STATISTICS (18) Periods

#### Mean, median and mode of grouped data (bimodal situation to be avoided).Cumulative frequency graph.

15. PROBABILITY (10) Periods

## PRESCRIBED BOOKS

Mathematics - Textbook for class X - NCERT Publication
Mathematics exemplar problems for class X, NCERT publication.
Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication

## QUESTION PAPER DESIGN – Mathematics

S.S.T (SOCIAL SCIENCE) 087 CLASS X : QUESTION PAPER DESIGN, MARKING SCHEME WITH IMPORTANT QUESTIONS and  SOLUTION FOR CBSE BOARD EXAM 2018 (22-03-2018) -- click here

SOCIAL SCIENCE SST (087) CLASS X COURSE STRUCTURE CBSE BOARD EXAM 2018  -- click here

Other posts you might be interested in:

S.S.T (SOCIAL SCIENCE) 087 CLASS X : QUESTION PAPER DESIGN, MARKING SCHEME WITH IMPORTANT QUESTIONS and  SOLUTION FOR CBSE BOARD EXAM 2018 (22-03-2018) -- click here

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