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Worksheets

2nd prep

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

The multiplicative inverse of 3\sqrt[]{3}   is

a)

3\sqrt[]{3}  

b)

3-\sqrt[]{3}  

c)

33\frac{\sqrt[]{3}}{3}  

d)

33\frac{3}{\sqrt[]{3}}  

2.

If 2𝑥 + 1 = 7 then 3𝑥=⋯

a)

6

b)

9

c)

12

d)

-12

3.

(5 +3)2\left(\sqrt[]{5}\ +\sqrt[]{3}\right)^2   ( 5  3)2\left(\ \sqrt[]{5}\ -\ \sqrt[]{3}\right)^2  =⋯

a)

2

b)

3

c)

4

d)

8

4.

] −1 , 3 ] ∪ { 0 , −1 }=⋯

a)

] 0 , 3 ]

b)

] −1 , 3 [

c)

[ −1 , 3 ]

d)

[ 0 , 3 ]

5.

(5  2)(5 + 2)=.............\left(\sqrt[]{5}\ -\ 2\right)\left(\sqrt[]{5}\ +\ 2\right)=.............  

a)

5

b)

4

c)

1

d)

3

6.

[ −1 , 5 ] − ] −1 , 5 [ = ⋯

a)

b)

{ −1 , 5 }

c)

[ −1 , 5 ]

d)

] −1 , 5 [

7.

The irrational number between 3 and 4 is

a)

17\sqrt[]{17}  

b)

6\sqrt[]{6}  

c)

293\sqrt[3]{29}  

d)

3.6

8.

The S . S. of the equation 𝑥 + 5 = 5 in 𝑁 is

a)

b)

{0}

c)

{10}

d)

{−10}

9.

x63  = .......\sqrt[3]{x^6}\ \ =\ \sqrt[]{.......}  

a)

x3x^3  

b)

x2x^2  

c)

𝑥

d)

x4x^4  

10.

The degree of 2𝑥3𝑦2 is

a)

Second

b)

third

c)

fourth

d)

fifth

11.

The radius of sphere is 6 cm then the volume

a)

6𝜋

b)

36𝜋

c)

72𝜋

d)

288𝜋

12.

The volume of cube 8 𝑐𝑚3 then the sum of all edge lengths is ………… 𝑐𝑚

a)

2

b)

12

c)

24

d)

8

13.

8 +18 32 =.............\sqrt[]{8}\ +\sqrt[]{18}\ -3\sqrt[]{2}\ =.............  

a)

2\sqrt[]{2}  

b)

2 22\ \sqrt[]{2}  

c)

3 23\ \sqrt[]{2}  

d)

3

14.

[ −2 , 5 [ ∩ 𝑅+ = ⋯

a)

𝑅+

b)

𝑅-

c)

[ 0 , 5 [

d)

] 0 , 5 [

15.

3 𝑎2 𝑏 × ………….= 12 𝑎4 𝑏2

a)

4 𝑏 a2a^2  

b)

4 a b

c)

a b

d)

4

16.

The additive inverse of 35-\sqrt[]{3}-\sqrt[]{5}   is …………………

a)

35-\sqrt[]{3}-\sqrt[]{5}  

b)

3+5\sqrt[]{3}+\sqrt[]{5}  

c)

8\sqrt[]{8}  

d)

15\sqrt[]{15}  

17.

The multiplicative inverse of ( 3 + 2)\left(\ \sqrt[]{3}\ +\ \sqrt[]{2}\right)   is ……………..

a)

3 + 2\sqrt[]{3}\ +\ \sqrt[]{2}  

b)

2  3\sqrt[]{2}\ -\ \sqrt[]{3}  

c)

3  2\sqrt[]{3}\ -\ \sqrt[]{2}  

d)

6

18.

x = 6 2x\ =\ \sqrt[]{6}\ -\sqrt[]{2}   , y = 4xy\ =\ \frac{4}{x}   then 𝑦 =.......

a)

4

b)

6 + 2\sqrt[]{6}\ +\ \sqrt[]{2}  

c)

10

d)

8\sqrt[]{8}  

19.

The sum of edges of A cube is 48 then the volume is........................

a)

64

b)

6

c)

4

d)

46

20.

The volume of cube 8 𝑐𝑚3 then area of one face =

a)

2

b)

4

c)

8

d)

16