8th Grade Chapter 5
PRACTICE TEST
Name: ___________________________________Per._______
PART 1: NO CALCULATORS
1. Circle the PERFECT SQUARES
AND Put a Box around the PERFECT CUBES
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2. Evaluate
a. √81 _____
b. √9 _____
c. √64 _____
g. √100 ____
h. √1 _____
m. ∛125 ____
n. ∛64 _____
d. √25 _____
e. √4 _____
f. √49 _____
i. √144 _____ j. √16 _____
k. √36 _____
l. √121 _____
o. ∛27 _____
p. ∛8 _____
p. ∛1 _____
3. Find the side length of a square with the given Area (hint: s = √𝑨)
a. A = 4 cm2
b. A = 49 in2
c. A = 121 m2
4. Find the edge length of a cube with the given Volume (hint: e = √𝑽)
a. V= 64 cm3
b. V = 8 in3
c. V = 27 m3
𝟑
5. Write the following benchmark fractions as decimals.
a.
3
8
= _____ b.
2
3
= _____c.
1
4
= _____d.
1
3
3
1
4
8
= _____e. = _____f.
= _____ h.
1
2
6. Write the following rational numbers as fractions. Reduce to LOWEST TERMS.
a. 0.6
b. 3.21
c. 0.545454….
d. 0.1111…
e. 2.171717…
= _____
7. Place the following numbers in the appropriate box below. Justify each answer.
3
a. √125
g. 2.444…
b. -26
h. √7
c. √36
i. 0
d. √7.9
9
j. 11
Rational
e. 5.35
3
k. √6
f. 3.5623…
l. 𝜋
Irrational
8. a. Label the boxes below with the following number groups:
Real, Natural, Rational, Irrational, Whole and Integers
b. Place the following 12 numbers in the appropriate boxes below.
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3
0.64125…., 0, - 9, 7,
0.47, 11.444… , 4 , √17 , π , - √16 , - √11 ,
3
√27
9. What two integers are the following irrational numbers between?
a. √7
b. √35.7
c. √44
d. √18
e. √77.3
PART 2: CALCULATORS ALLOWED
10. Use your calculator to write the decimal expansion and determine if it repeats or
terminates.
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2
7
11
a. 9
b. 3
c. 8
d. 16
11. Place the following numbers on a number line. USE THE LETTERS to show where the
numbers would be on the number line. Next, compare the numbers (problems G-I).
A
B
C
D
𝜋
√7
√9
-7
Use the symbol <,=,>.
G. A
E
1
B
H.
F
2
2
- 15
E
2
F
I.
D
C
12. Tell whether the statement is true or false (some might be part of the Honors Section).
Explain your answer AND give an example
a. Square Roots of Perfect Squares are Rational.
b. Every square root is an irrational number.
c. Every terminating decimal is an irrational number.
d. The set of rational numbers contains the set of whole numbers.
e. The set of integers contain the set of natural numbers
f. Negative numbers are always rational.
g. Rational numbers are never irrational.
h. Irrational numbers contain the set of Integers
i. Only Positive Numbers are Rational
13. Solve
a. 𝑥 2 = 81
b. 𝑥 2 = 7
c.
𝑥 3 = 125
Honors Practice Questions Chapter 5
(Everyone does this part too for full credit)
𝒂
Write the following rational numbers as fractions 𝒃. Simplify to lowest terms.
1. 2.175
2.
-4.4444
𝒂
Write the following rational numbers as fractions 𝒃. You must use the sentence method (not
the shortcut). All work must be shown to receive credit. Simplify to lowest terms.
3.
0.555…
5. Find -√𝟑𝟒𝟓. 𝟕𝟔
4.
̅
6.17
Round to the nearest tenth.
6. Find the side length of a square with the Area = 15 in2. Round to the nearest tenth.
s = ______ ___
7. Find the edge length of a cube with the Volume = 22 in3. Round to the nearest tenth.
e = ______ ___
8. Listed is a set of numbers. One number is not like the others. Find it and explain why.
{ 𝜋, √20, 0, √2 , 0.855697…} Number: ______
Explain: