# Maths Question Bank For Practice Class 10 PDF

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Table of Contents

## Maths Question Book For Practice Class 10 PDF Free Download

### MCQ Worksheet-1

#### Class X: Chapter-3 Pair of Linear Equations In Two Variables

1. The pair of equations y = 0 and y=-7 has

(a) one solution (b) two solution (c) infinitely many solutions (d) no solution

1. The pair of equations x = a and y = b graphically represents the lines which are

(a) parallel (c) coincident (b) intersecting at (a, b) (d) intersecting at (b, a)

1. The value of c for which the pair of equations cx – y = 2 and 6x-2y = 3 will have infinitely many solutions is

(a) 3 (b)-3 (c) – 12 (d) no value

1. When lines 1₁ and ↳ are coincident, then the graphical solution system of linear equation have

(a) infinite number of solutions (b) unique solution (c) no solution (d) one solution

1. When lines 1₁ and h are parallel, then the graphical solution system of linear equation have

(a) infinite number of solutions (b) unique solution (c) no solution (d) one solution

1. The coordinates of the vertices of triangle formed between the lines and y-axis from the graph is

(a) (0, 5), (0, 0) and (6.5,0) (b) (4,2), (0, 0) and (6.5,0) (c) (4,2), (0, 0) and (0,5) (d) none of these

1. Five years ago Nuri was thrice old as Sonu. Ten years later, Nuri will be twice as old as Sonu. The present age, in years, of Nuri and Sonu are respectively

(a) 50 and 20 (b) 60 and 30 (c) 70 and 40 (d) 40 and 10

1. The pair of equations 5x – 15y = 8 and 3x – 9y=24/5 has

(a) infinite number of solutions (b) unique solution (c) no solution (d) one solution

1. The pair of equations x + 2y + 5 = 0 and -3x -6y + 1 = 0 have

(a) infinite number of solutions (b) unique solution (c) no solution (d) one solution

1. The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the numbers get reversed. The number is

(a) 36 (b) 72 (c) 63 (d) 25

#### Syllabus

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 results – irrationality of decimal expansions 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.

1. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Pair linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.

Algebraic conditions for a number of solutions.

Solution of pair of linear equations in two variables algebraically by substitution, by elimination, and by cross multiplication.

Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included.

1. QUADRATIC EQUATIONS

Standard form of a quadratic equation ax² + bx + c = 0, (a ) 0). Solution of the quadratic equations (only real roots) by factorization and by using the quadratic formula.

Relationship between discriminant and nature of roots.

Problems related to day-to-day activities to be incorporated. Situational problems based on quadratic equations related to day-to-day activities to be incorporated.

Maths Question Bank For Practice Class 10 PDF Free Download

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