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Worksheets

10 chp 1,2,4

Total questions: 23

Worksheet time: 34mins

Name
Class
Date
1.

What is LCM of smallest prime number and the smallest composite number

a)

2

b)

4

c)

6

d)

8

2.

 2+22+\sqrt{2}  is 

a)

an integer

b)

a rational number

c)

an irrational number

d)

none of these 

3.

 The decimal expansion of the rational number  \frac{37}{2^2\times5} will terminate after

a)

one decimal place 

b)

two decimal places 

c)

three decimal places 

d)

four decimal places 

4.

The HCF of two numbers, 1261 and 1067 is 97. Find their LCM

a)

18222

b)

1212

c)

13871

d)

36470

5.

the values of x and y in the given figure are

a)

x = 10; y = 14

b)

x = 21; y = 84

c)

x = 25; y = 21

d)

x = 14; y = 40

6.

Which of the following is not graph of a quadratic polynomial?

a)
b)
c)
d)
7.

If one of the zero of 3x2 + 8x + k be the reciprocal of the other, then the value of k is

a)

3

b)

-3

c)

13\frac{1}{3}

d)

13\frac{-1}{3}

8.

A quadratic polynomial whose zeros are  \frac{3}{5}  and  12\frac{-1}{2}  , is 

a)

 10x2 + x + 310x^2\ +\ x\ +\ 3  

b)

 10x2 + x  310x^2\ +\ x\ -\ 3  

c)

 10x2  x + 310x^2\ -\ x\ +\ 3  

d)

 x2  110x  310x^2\ -\ \frac{1}{10}x\ -\ \frac{3}{10}  

9.

The polynomial which when divided by  -x^2+x\ -1  
  gives a quotient x - 2 and remainder is 3, is 

a)

 x3 3x2 + 3x 5x^3\ -3x^2\ +\ 3x\ -5  

b)

 x3 3x2  3x 5-x^3\ -3x^2\ -\ 3x\ -5  

c)

 x3 +3x2  3x +5-x^3\ +3x^2\ -\ 3x\ +5  

d)

 x3 3x2  3x +5x^3\ -3x^2\ -\ 3x\ +5  

10.

If x = 3 is one of the root of the quadratic equation x2  2kx  6x^2\ -\ 2kx\ -\ 6  , then find value of k.

a)

 13\frac{1}{3}  

b)

 12\frac{1}{2}  

c)

 25\frac{2}{5}  

d)

 16\frac{1}{6}  

11.

If one of the zeros of quadratic polynomial (k-1)x2 + kx + 1 is -3, then find value of k

a)

34\frac{3}{4}

b)

43\frac{4}{3}

c)

23\frac{2}{3}

d)

32\frac{3}{2}

12.

1) Find a quadratic polynomial, in which the sum of the zeros is 3\sqrt{3}    and the product of the zeros is 11 respectively 

a)

 k(x2  2x + 11 )k\left(x^2\ -\ \sqrt{2}x\ +\ 11\ \right)  

b)

 k(x2  11x + 3 )k\left(x^2\ -\ \sqrt{11}x\ +\ 3\ \right)  

c)

 k(x2  3x + 11 )k\left(x^2\ -\ \sqrt{3}x\ +\ 11\ \right)  

d)

 k(x2 + 2x + 11 )k\left(x^2\ +\ \sqrt{2}x\ +\ 11\ \right)  

13.

Which of the following is quadratic equation?

a)

x2 + 2x + 1= (4 x)2 + 3x^2\ +\ 2x\ +\ 1=\ \left(4\ -\ x\right)^2\ +\ 3

b)

2x2 = (5 x)(2x 25)-2x^2\ =\ \left(5\ -\ x\right)\left(2x\ -\frac{2}{5}\right)

c)

(k+1)x2 + 32x= 7, \left(k+1\right)x^2\ +\ \frac{3}{2}x=\ 7,\ where k = -1

d)

x3x2 = (x1)3x^3-x^2\ =\ \left(x-1\right)^3

14.

which of the following has 2 as a root

a)

x2 4x + 5x^2\ -\ 4x\ +\ 5

b)

x2 + 3x 12 = 0x^2\ +\ 3x\ -\ 12\ =\ 0

c)

2x2 7x + 6 = 02x^2\ -\ 7x\ +\ 6\ =\ 0

d)

3x2 6x 2 = 03x^2\ -\ 6x\ -\ 2\ =\ 0

15.

The two consecutive odd positive integers, sum of whose squares is 290 are ..

a)

13, 15

b)

11,13

c)

7,9

d)

5,7

16.

 x2  0.09 = 0 is x^2\ -\ 0.09\ =\ 0\ is\   

Roots of the equation

a)

0.3

b)

0.03

c)

no root

d)

none of these 

17.

if  \frac{1}{2}  is root of the equation  x2 +kx  54= 0, x^2\ +kx\ -\ \frac{5}{4}=\ 0,\   , then the value of k is ..

a)

2

b)

- 2

c)

 14\frac{1}{4}  

d)

 12\frac{1}{2}  

18.

If list price of a toy is reduced by Rs. 2, a person can buy 2 toys more for Rs. 360. The original price of a toy is ..

a)

Rs. 18

b)

Rs. 20

c)

Rs. 19

d)

Rs. 21

19.

 If difference of roots of quadratic equation    x^2+kx\ +\ 12\ =\ 0  is 1 , the positive value of k is...

a)

-7

b)

7

c)

4

d)

8

20.

The sum of squares of two consecutive odd numbers is 394. Find the numbers

a)

13 and 15 OR -13 and -15

b)

15 and 17 OR -15 and -17

c)

only 13 and 15

d)

-15 and -17

21.

Solve for x: 1x+1+2x+2= 4x+4, x1,2,3\frac{1}{x+1}+\frac{2}{x+2}=\ \frac{4}{x+4},\ x\ne-1,-2,-3  


a)

 3±233\pm2\sqrt{3}  

b)

 2±232\pm2\sqrt{3}   

c)

 5±255\pm2\sqrt{5}  

d)

 4±234\pm2\sqrt{3}  

22.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
23.
The positive real root of the equation : 64x2 - 1 = 0 is ______
a)
8
b)
c)
1⁄16
d)
1⁄4