MATHS QUESTION PAPERS FOR CLASS 9


UNIT TEST-1 (2021-22)
CLASS IX
MATHEMATICS
TIME: 40 min.
M: M-25

1. Choose the correct answer:

(i) Which point lies on the y-axis?
(a) (3,2) 
(b) (-3,2) 
(c) (0,-3) 
(d) (-1,-2)

(ii)Given a rational number (-5/9) This rational number can also be known as
(a) a natural number 
(b) a whole number 
(c) a fraction 
(d) a real number

(iii) Identify the polynomial 
(a) x½  + x‐¹ +5 
(b) x² +5 x + 7  
(c) 1/x³ + 1 
(d) 3x² + 7

√3 is a polynomial of degree 
(a) ½ 
(b) 2 
(c) 1 
(d) 0

(vi) Which point lies to the left of the y-axis?
(a) (0, 3) 
(b) (-2,-1) 
(c) (3,5) 
(d) (3,-2)

2. Answer the following:

(i) Write an irrational number lying between ⅕ and ⅙

(ii) What is the rationalizing factor of (√7-2).

(iii) Find the value of (16)‐¾

(iv) Find the zero of the polynomial p(x) = 5 - 4x.

(v) Find the remainder when x³ + 4x² + 4x - 3 is divisible by x.

(vi) In which quadrant/quadrants abscissa of a point is positive?

(vii) Write the coordinate of a point that lies on the y-axis at a distance of 5 units in the negative direction of the y-axis.

3. Find the value of k, if (x + 1) is a factor of 4x³ + 3x² - 4x + k.

4. Express 0.53(bar sign on 3 only) in the form of p/q.

5. Factorise: 27a³-8b³ - 54a²b + 36ab²

6. Expand : (2a + 5b - 7c)²

7. Plot the points A(2,5), B(-2,2), and C(4,2) on graph paper. Join AB, BC, and AC. Calculate the area
of triangle ABC.

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