(Paper) CBSE : Class 9 Mathematics Unit Test Paper-03

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Class 9 Mathematics Unit Test Paper-03
Class - IX

MATHEMATICS
TIME :-3 hrs.                                                            M.M: 80

General Instructions: - All Questions are compulsory. Use of calculator is not permitted.
 

1. Write the value of 2^{{2 \over 3}} .2^{{1 \over 3}}

 		 1-marks
2. Find the product of  \left( {3 + \sqrt 3 } \right)\left( {2 + \sqrt 2 } \right) 1-marks
3. Find the value of 5x3-4x2+3 at x = 2 1-marks
4. The cost of a note book is twice the cost of a pen. Write a linear equation in two variable for the statement. 1-marks
5. Express 5 = 2x in the form of ax + by=c = 0 and indicate the value of a,  b and c. 1-marks
6. Factorize: - x2 – y2 1-marks
7. Check whether (4, 0) is a solution of equation x – 2y = 4 or not? 1-marks
8. Explain parallel and perpendicular line with diagram. 1-marks
9. Represent (625)-4 as positive number in lowest form. 1-marks
10. Check whether x = {{ - m} \over 1} is form of p(x) = lx + m or not? 1-marks
11.   \Delta ABC and  \Delta DBC are two isosceles triangle on the same base BC, show that angle ABC = angle ACD
 		 2-marks
12.

In figure, if AC = BD then prove that AB = CD

 2-marks
13. Represent \sqrt 3 or \sqrt {3.6} on a number line. 2-marks
14. Find the value of (-15)3 + (8)3 + (7)3 without actual multiplication 2-marks
15. In the given figure, AB parallel DE, angleBAC = 350, angleCDE = 530 E, other find  angle DCE = ?
  		2-marks
16.

(1)Find four rational number between 3 and 4.

(2)Evaluate 0.265 (express in p/q form).

 3-marks
17. Find a and B if  {{3 + \sqrt 5 } \over {3 - \sqrt 5 }} = a + b\sqrt 5 . 3-marks
18. Find the value of k if x-1 is a factor of 4x3 + 3x2 – 4x + x. 3-marks
19.  AB and CD are respectively the smallest and largest side of quadrilateral ABCD than show that  <A> angle C and <B> angle D <A>
(OR)
If the bisectors of angle B and angle C  of a triangle ABC meet at o the prove that BOC = 900 + {1 \over 2} angle BAC

 		 3-marks
20.

In figure, AC = AE, AB = AD and angle BAD = angle EAC that show that BC = DE
 

 3-marks
21.  Write all the postulates of Euclid in geometry. 3-marks
22.  Give the geometrical representation of y = 3 in one variable and two variable on your answer sheet. 3-marks
23.  Triangle ABC is an isosules triangle in which AB = AC side BA is produced to D such that AD = AB then show that angel BCD = 900 3-marks
24.  Factories (i) 3x2 – x – 4    (ii) 4y2 – 4y + 1 3-marks
25.  Evaluate the factors of (i) 27y3 + 125Z3    (ii) 8x3 + y3 + 27Z3 – 18xy2 using suitable identify: 3-marks
26.  “The sum of any two side of a triangle is greater than the third side” prove it. 5-marks
27.  The taxi fare in a city is comprises of the first kilometer  fare an is 8 and far the subsequent distance it is Rs5 per km. write a linear equation for it taxing the distance covred as x km and total fare a Rs y. Also draw its graph by taking at least four solution of it. 5-marks
28.  Factories p(x) = x3 + 13x2 + 32x + 20 completely using the factor theorem. 5-marks
29.

 (i)(i)AT line XY and MN intersect at o and angle POY = 900 with a: b = 2:3 than find the valued a, b, and c.

(ii)Find the remainder when x3 – 9x2 + 6x – a is divided by (x – a)
(iii)Factories 4x2 - y2 + Z2 – 4xy – 2yZ + 4xZ using identify.

 5-marks
30.

“If a traversal intersects two parallel line than each pair of alternate introvert angle is equal” Prove it. Hence evaluate x in the figure if AB||CD and angle AMO = 50o, angel CNO = 45o
Exam Paper
Maths
CBSE
Class-9 (IX)