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Guess Paper – 2008

Class - IX

Subject – Mathematics

Polynomials, Coordinate Geometry & Linear Equations in Two Variables
Maximum Marks: 25 Time allowed: 50 minutes

Q1 to Q5 carry 2 marks; Q6to Q10 carry 3 marks



1.

Find the value of k if ( x3 + 6x2 + 4x + k ) is exactly divisible by (x + 2)
2.

Find the value of k, if (x – 1) is a factor of (4x 3 + 3x 2 – 4x + k)
3.

Without actually calculating the cubes, evaluate ( 40 ) 3 + ( –25 ) 3 + ( –15 ) 3
4.

Find the value of ‘a’ and ‘b’ such that the following equations may have (3, -2) as a solution 5x + ay = 8; 7x+by = 4b
5.

Factorize: 2x 2 – y 2 + 8z 2 – 22 xy + 42 yz – 8 xz.
6.

Factorize: x3 + 13x2 + 32x + 20.
7.

Factorize: 8x 3 + y 3 + z 3 – 18xyz.
8.

Factorize: x3 – 5x2 – 5x – 6
9.

Locate the following points on the Cartesian plane

(i) (3,-4) (ii) (-1,0) (iii) (-2,-4)

10.

Draw the graph of the equation 2x + y = 6. From the graph, find the value of y when x = 2



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