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Name: __________________________________
Period: ______________
8th Grade Test Review
Directions: For the following numbers, tell if the number is rational or irrational.
1)
4) 3.5421….. __________________________
1
___________________________________
9
5)


25 ________________________________
2) 17 ________________________________
3) 5.63 ________________________________

6) 22 __________________________________
7) Which real number is an integer but not a whole number?
a) 12
c) -3.2
b) -9
d) 15
8) Circle all of the real numbers that are not integers.
a) 
3
4

b) 0.23
Directions: Find each square root.

9) 9 _____________________________

c) 7.2
d) 3,416
10) 196 __________________________
11) Richard bought a bag of lawn fertilizer that will cover 64 square feet. What are
the dimensions of the largest square plotof lawn that the bag of fertilizer will cover?
12) A cardboard envelope for a compact disc is a square with an area of 171.61
square centimeters. What are the dimensions of the envelope?
Name: __________________________________
Period: ______________
Directions: Find 2 consecutive integers between which each square root lies.
13)


44 _________________________
15) 13 _________________________
14) 107 _______________________

59 _________________________
Directions: Use a calculator to find the square root of the following numbers. Round
the answer to the nearest hundredth. 
17) 19 _________________________

16)
18)
73 _________________________
Directions: Write each number in scientific notation.

19) 0.00000621
20) 1,760,000
21) The worlds population is about 7,000,120,000. How is 7,000,120,000 written in
scientific notation?
Directions: Write each number in standard form.
23) 9.32 105
22) 2.2110 4


24) Last year, over 6.17 10 7 people visited the most popular shopping site on the
internet. How is 6.17 10 7 written in standard form?


Directions: Compare the numbers using <, >, or =.
26) 6.72 103 ________ 9.22 105
25) 5.223106 _________2.371108


Name: __________________________________
Period: ______________
28) 6.321107 ________ 7.891107
27) 5.22 1012 ________5.22 1012

29) The following table shows the highest points of elevation in six U.S. states.

States’ Highest Points
State
Altitude (Feet)
Hawaii
1.3796 10 4
Utah
1.3528 10 4
Oklahoma
4.97310 3
Wyoming
1.3804 10 4
Alaska 
2.032 10 4
Ohio 
1.549 10 3
Write the states in order from
lowest to highest point of elevation.

Directions: Evaluate the following problems.
30) 3.33107  6.21107 

31) 5.21103  2.13103 

32) 4.21105  7.94 105 

33) 3.81109  9.12109 

Name: __________________________________
Period: ______________
34) 6.43106  1.39103 

35) 9.31103  3.79105 

36) 7.83103  6.29106 

37) 8.53108  5.28103 

Directions: Use order of operations to solve the following problems.
38) 2 3 12  2 1 36
39) 18  3  5  23 64


41) 36  2  3 12 4 2
40) 32  2 30  55


41) The middle school team scored 3 field goals worth 3 points each and 2
touchdowns with each extra points worth 7 points each. Write a numerical
expression to find the team’s score. Then evaluate the expression.
Name: __________________________________
Period: ______________
Directions: Round each number.
42) Round 257 to the nearest ten. ______________________
43) Round 1,231 to the nearest hundred. _______________________
44) Round 4.567 to the nearest hundredth. _________________________
45) Round 4.133 to the nearest whole number. _____________________
46) Round 5.281 to the nearest tenth. _____________________
Directions: Round to the nearest whole number.


47) 5
7
____________________
9
49) 14
2
__________________
5
48) 6
8
___________________
19
50) 28
5
_________________
11

