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Math 8 Unit 1 Review

Total questions: 57

Worksheet time: 2hrs 3mins

Name
Class
Date
1.

Which number is both a rational number and an integer?

a)

3/5

b)

−√2

c)

0.2

d)

−6

2.

To which sets does √2 belong? Select the correct answer(s).

a)

irrational

b)

real

c)

integer

d)

natural

e)

rational

3.

Which statement is NOT true regarding all rational numbers?

a)

A rational number can be described a repeating decimal.

b)

A rational number can be described as a terminating decimal.

c)

A rational number can be described a fraction in the form a/b where b≠0.

d)

A rational number can be described as a non-repeating, non-terminating decimal.

4.

The diagram shows how some of the subsets of the set of real numbers are related. The letters represent members of the sets. Matthew wants to replace the letters with actual numbers. Which letters can be replaced with the number -3?

a)

Z

b)

N

c)

U

d)

R

e)

P

5.

Which of the following is NOT a rational number?

a)

√2

b)

7/20

c)

√4

d)

0.12

6.

Which statement is NOT true about the number given below?

a)

The number is a rational number.

b)

The number is an integer.

c)

The number is a whole number.

d)

The number is a real number.

7.

The set of all counting numbers and zero is best described as being the subset of (a)   numbers.

8.

These numbers are not included in the subset of (a)   numbers.

9.

Which statement is NOT true about rational numbers?

a)

Whole numbers are rational numbers.

b)

Only prime numbers are rational.

c)

Negative integers and fractions are rational numbers.

d)

Zero is a rational number.

10.

Provide an example of a square root that is irrational.

(a)  

11.

Which of the following numbers is a rational number?

a)

π

b)

1/3

c)

√3

d)

e

12.

Which statement is true about the number 0.333...?

a)

It is an irrational number.

b)

It is a rational number.

c)

It is a whole number.

d)

It is an integer.

13.

Which of the following is NOT a property of rational numbers?

a)

They can be expressed as a fraction.

b)

They can be non-repeating decimals.

c)

They can be whole numbers.

d)

They can be negative numbers.

14.

Is the number 0.333... (repeating) rational or irrational?

a)

Rational

b)

Irrational

15.
which number is a rational number ?
a)
1/4
b)
π
c)
√3
16.

Categorize the following:  −32-32  

a)

Rational

b)

Irrational

17.
4π
a)
rational
b)
irrational
18.

Which of the following is rational?

a)

.218945627890700766........

b)

3π3\pi

c)

5.9‾5.\overline{9}

d)

21\sqrt{21}

19.

 π\pi  

Rational or Irrational? 

a)

Rational 

b)

Irrational

20.

1.4325674454354245.......

a)

Rational

b)

Irrational

21.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

22.
Which statement is true? 
a)
The number ⅚ is irrational
b)
The number 0.345345345 is irrational
c)
The number (4π/16π) is irrational
d)
The number (√11)² is rational
23.

Is 773\frac{77}{3}  rational or irrational?

a)

Rational

b)

Irrational

24.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
25.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
26.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
27.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
28.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
29.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
30.
3. Which list of numbers is in order from least to greatest?
A. 5/8,  9/16,  5/12
B. 5/12,  9/16,  5/8
C. 9/16,  5/12,  5/8
D. 9/16,  5/8,  5/12
a)
A
b)
B
c)
C
d)
D
31.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
32.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
33.
What is 37% as a decimal?
a)
37
b)
3.7
c)
.37
d)
.037
34.
Which set is in descending order?
a)
15%  .45  9/10
b)
.45  15%  9/10
c)
9/10  15%  .45
d)
9/10  .45  15%
35.
Which is ordered least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
36.
Which is the least:  0.06 or 0.060
a)
0.06
b)
They are equal.
c)
0.060
d)
Depends on the time of day.
37.

9- Which number is perfect square?

a)

a) 48

b)

b) 49

c)

c) 59

d)

d) 29

38.

10- Which number is perfect square?

a)

a) 81

b)

b) 89

c)

c) 90

d)

d) 88

39.

Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

40.
Which contains a list of perfect squares?
a)
20, 24, 36, 48
b)
25, 36, 49, 64
c)
34, 48, 64, 81
d)
36, 49, 62, 84
41.

What is 361\sqrt[]{361}   ?

a)

15

b)

17

c)

19

42.

16\sqrt[]{16}  

a)

1

b)

4

c)

16

d)

256

43.

Which of the following represents 42 ?

a)
b)
c)
d)
44.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

45.
If a square has a side length of 5 cm, what would the area be?
a)
55 cm2
b)
50 cm2
c)
25 cm2
d)
20 cm2
46.

Which shows 74 in expanded form?

a)

7 • 7 • 7 • 7

b)

4 • 4 • 4 • 4 • 4 • 4 • 4

c)

2401

d)

16,384

47.

Write 5 • 5 • 5 in exponential form.

a)

35

b)

53

c)

what is exponential form?

d)

5 • 3

48.

Which perfect square is being shown?

a)

6

b)

7

c)

36

d)

49

49.

Identify: −225-\sqrt{225}  

a)

-112.5

b)

-15

c)

15

d)

112.5

50.

Identify: 324\sqrt{324}  

a)

-162

b)

-18

c)

18

d)

162

51.

What is 21221^2  ?

a)

324

b)

361

c)

400

d)

441

52.

What is the square root of 49?

a)

5

b)

7

c)

9

d)

11

53.



(a)  

54.



(a)  

55.



(a)  

56.



(a)  

57.



(a)  

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