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Unit 1 Real Numbers review

Total questions: 22

Worksheet time: 16mins

Name
Class
Date
1.

Select all of the natural numbers

a)

 π\pi  

b)

c)

4

d)

87

2.

Convert the repeating decimal to a fraction.

 5. 425.\ \overline{42}  



(a)  

3.

Classify the number

 7413\frac{74}{13}  

a)

Rational Number

b)

Irrational Number

c)

Real Number

d)

Natural Number

e)

Whole Number

4.

Convert the repeating decimal to a fraction

 0.60.\overline{6}  



(a)  

5.

Between which two whole numbers is

 91\sqrt{91}  between? 

a)

1 and 2

b)

9 and 10 

c)

81 and 100 

d)

90 and 92

6.

Select the non-perfect squares from the list below.

a)

6\sqrt{6}

b)

49\sqrt{49}

c)

8\sqrt{8}

d)

1\sqrt{1}

e)

121\sqrt{121}

7.

Solve 

 x2=64x^2=64  

(a)  

8.

A square courtyard has an area of  144\ yds^2 . What is the side length of the courtyard? 

a)

72

b)

12

c)

5

d)

144

9.

Select all of the Rational Numbers

a)

195

b)

π\pi

c)

-88

d)

47\frac{4}{7}

e)

0.230.\overline{23}

10.

Is  π\pi  an irrational number?  

a)

Yes

b)

No

11.

What is the difference between a natural number and a whole number?

a)

Natural numbers are rational and whole numbers are not.

b)

Whole numbers aren't fractions and natural numbers are.

c)

There is not a difference.

d)

0 is included in the whole numbers but not the natural.

12.

Put the numbers in order from least to greatest

 49, 69, 256\sqrt{49},\ \sqrt{69},\ \frac{25}{6}  


a)

 69, 49, 256\sqrt{69},\ \sqrt{49},\ \frac{25}{6}  

b)

 49, 256, 69\sqrt{49},\ \frac{25}{6},\ \sqrt{69}  

c)

 256, 49, 69\frac{25}{6},\ \sqrt{49},\ \sqrt{69}  

13.

What is the cube root of 216?

(a)  

14.

What is the cube root of 27?

(a)  

15.

 62\frac{6}{2}  or  27\sqrt{27}  

Which number is smaller?

a)

 62\frac{6}{2}  

b)

 27\sqrt{27}  

16.

 Approximate 44\sqrt{44} 

(a)  

17.

Convert the repeating decimal to a fraction 

 1.71.\overline{7}  


a)

1 7/9

b)

7/10

c)

1 7/99

d)

70/100 

18.

Select all of the integers in the list.

a)

0

b)

4.888

c)

680

d)

430\frac{4}{30}

e)

-123

19.

 Approximate 6\sqrt{6} 



(a)  

20.

 x3 =343x^{3\ }=343  

(a)  

21.

 3 2, 100, 553^{\ 2},\ \sqrt{100},\ \sqrt{55}  

Order the numbers from greatest to least

a)

 32, 55, 1003^2,\ \sqrt{55},\ \sqrt{100}  

b)

 3 2, 100, 553^{\ 2},\ \sqrt{100},\ \sqrt{55}  

c)

 100, 3 2, 55\sqrt{100},\ 3^{\ 2},\ \sqrt{55}  

d)

 55, 3 2, 100\sqrt{55},\ 3^{\ 2},\ \sqrt{100}  

22.

A cube has the volume of  512 cm3 .512\ cm^{3\ }.  What is the side length? 


a)

5

b)

7

c)

4

d)

8