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Worksheets

REAL Numbers part -1

Total questions: 23

Worksheet time: 13mins

Name
Class
Date
1.

−13\sqrt[3]{-1}  

a)

±1\pm1  

b)

1

c)

-1

d)

none of the above (imaginary number)

2.

The area of a square painting is 81 cm281\ cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

3.

 (1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

 827\frac{8}{27}  

b)

 89\frac{8}{9}  

c)

 49\frac{4}{9}  

d)

 43\frac{4}{3}  

4.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

5.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

6.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}

7.

1253\sqrt[3]{125}  

a)
5
b)
-5
c)
25
d)
-25
8.

−10003\sqrt[3]{-1000}  

a)

-10

b)

-100

c)

-500

d)

-20

9.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
10.

Cube Roots are the opposite of:

a)

Square Roots

b)

Cubing a number

c)

Squaring a number

d)

Multiplying a number

11.

Mary has a shed that has a volume of 216 ft cubed. What is the length of one side of Mary's shed?

a)

6

b)

14.7

c)

7

d)

-6

12.

Solve the equation:

x3= −64x^3=\ -64  

a)

x=8x=8  

b)

x=± 8x=\pm\ 8  

c)

x=± 4x=\pm\ 4  

d)

x = −4x\ =\ -4  

13.

Solve the equation: x2=196x^2=196  

a)

x=± 14x=\pm\ 14  

b)

x=± 13x=\pm\ 13  

c)

x = ± 5.8x\ =\ \pm\ 5.8  

d)

x=14x=14  

14.

−7293\sqrt[3]{-729}  

a)

-9

b)

81

c)

243

15.

Which number is irrational?

a)

9.6

b)

45\sqrt[]{45}  

c)

36\sqrt[]{36}  

d)

300,000

16.

Which number is a rational number?

a)

1/4

b)

π

c)

3\sqrt[]{3}  

17.

Is the following number rational or irrational?

7\sqrt[]{7}  

a)

Rational

b)

Irrational

18.

Is the following number rational or irrational?

0.141414141414...

a)

Rational

b)

Irrational

19.

Is the following number rational or irrational?

-17.5

a)

Rational

b)

Irrational

20.

Is the following number rational or irrational?

773\frac{77}{3}  

a)

Rational

b)

Irrational

21.

Identify the rational numbers. (Select all that apply)

a)

4\sqrt{4}

b)

π\pi

c)

3.53.5

d)

2\sqrt{2}

e)

23\frac{2}{3}

22.

Identify the irrational numbers. (Select all that apply)

a)

50\sqrt{50}  

b)

2

c)

π\pi  

d)

2.3454128904

23.

 16=?\sqrt{16}=?  

a)

8

b)

2

c)

4

d)

32