(Paper) CBSE : Class 9 Mathematics Unit Test Paper-02

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Class 9 Mathematics Unit Test Paper-02

Class – IX
Maths

Time 1.5 hrs.
                  MM. 40


Note: All questions are compulsory:-

 

Section - A

 

1.

Insert two rational and two irrational numbers between {5 \over 2}and{{17} \over 5}.

2-marks

2.

Represent \sqrt 2 and\sqrt 3 on same number line.

2-marks

3.

(i) Rationalise  {4 \over {2 + \sqrt 3 }}
 
(ii) Find  (2 + \sqrt {11} )(2 - \sqrt {11)}
 

2-marks

4.

Find the value of polynomial 5x – 4x2 + 3 at x = -2

2-marks

5.

Factorise  3x2 – x – 4
Or
Factorise 27y3 + 125 x3

2-marks

6.

Evaluate using identities 97 x 105.

2-marks

7.

Write two solutions of 2x + 3y = 4.

2-marks

8.

Express 2.\overline {34} in form {p \over q}.

2-marks

 

Section - B

 

9.

Find remainder, using remainder theorem, which x3 + 3x2 + 3x + 1 is divided by x - {1 \over 2}.

3-marks

10.

If x-4 is a factor of 5x3 – 7x2 – kx – 28 find value of k.

3-marks

11.

Plot points P (0,0), Q (5,6), R (7,3) S(2,3) on cartesian plane and identify the figure PQRS.

3-marks

12.

Give geometrical representation of 2x + 9 = 0 as an equation
(i) In one variable
(ii) In two variable

3-marks

 

Section - C

 

13.

 Using factor theorem factorise x3 – 3x2 – 9x – 5

4-marks

14.

Draw graph of x + 3y = 6 and find points where it meets
(i) x-axis
(ii) y-axis

4-marks

15.

 Evaluate
\left( {{{625} \over {81}}} \right)^{{{ - 3} \over 4}}  \times \left[ {\left( {{4 \over {25}}} \right)^{{{ - 3} \over 2}}  + \left( {{2 \over 3}} \right)^{ - 3} } \right]

4-marks