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Name
Date
Class
Prime Time
Unit Test Review
1. Find the prime factorization of each number. Show your work.
a. 60
b. 125
2. What number has the prime factorization 23 X4 X 53? Show how you
found the number.
3. Valerie is packing sacks of trail mix for a hike. Every sack has exactly the
same stuff in it. Valerie has 54 cups of granola bars and 45 cups of M&Ms.
There are no leftover cups!
a. What is the greatest number of treat sacks Valerie can make? Show your
work.
b. How many of each kind of treat is in one sack? Show your reasoning.
Unit Test Review (continued)
4. “Ben” and “Ron” are the local names for two lighthouses that guard
a particularly dangerous part of the coast. Ben blinks every 15 seconds,
and Ron blinks every 6 seconds. They blink together at midnight. How
many seconds will pass before they blink together again?
5. The owners of an amusement park want to add more rides and an arcade
in an open field. Below is a sketch of their plan. The owners do not know
all of the measurements of the field.
15 yds
20 yds
Write two expressions for the area of the whole field. (sum of two products expanded form and the other
product of two terms factored form)
Unit Test Review(continued)
6. a. What is the greatest common factor of 18 and 27? Use any method, but show your work.
b. What is the least common multiple of 18 and 27? Use any method, but show your work.
c. Find another common multiple of 18 and 27. Use any method, but show your work.
7. Find the value of the expression 45 – 72 ÷ 7 + 8(4).
8. Is each expression equivalent to 6 × 53? Justify your reasoning.
a. 6 x 50 + 6 x 3
b. 12 x 53 – 6 x 53
c. 6(50 + 3)
d. 6 x 50 + 3
Unit Test Review (continued)
9. Find the value of the expression 30 – 32 ÷ 3 + 8(2).
A. 24
B. 37
10. Find the prime factorization of 160.
A. 2 x 2 x 2 x 4 x 5
B. 2 x 2 x 2 x 10
C. 24 x 5
D. 25 x 5
C. 43
D. 23
Name
Date
Class
Comparing Bits and Pieces
Unit 2 Review
1. Write each of the following ratios as a fraction, decimal, and percent.
Ratio
a.
30 days out of 100 days
b.
20 correct out of 25 problems
c.
3 out of 4 games won
d.
21 out of 40 mountain bikes
Fraction
Decimal
Percent
2. The ratio of males to total students in a mathematics class is 12 to 30.
a. What fraction of the class is male? What percent is male?
b. What fraction of the class is female? What percent is female?
3. For parts (a)-(c), circle the fraction, decimal, or percent that is not
equivalent to the others. Explain why it is not equivalent.
a. 0.60
b.
1
0.6
6%
25%
0.25
1.8
108%
25
c.
9
5
1
3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
Date
Class
Comparing Bits and Pieces
Unit 2 Review (continued)
4. This drawing shows part of a centimeter ruler. The drawing has been
enlarged. The small marks indicate millimeters. The large marks indicate
centimeters.
a. What fraction of a centimeter is each millimeter?
b. Draw a mark on the ruler at 3.2 cm.
c. How many millimeters is 3.2 cm?
d. According to the ruler, how long is the paper clip?
2
3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
Date
Class
Comparing Bits and Pieces
Unit 2 review (continued)
5. Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056
6. Arrange these decimals from least to greatest.
–6.00
–0.56
–0.060
–0.6
–0.056
7. Decide whether each pair of fractions is equivalent or not equivalent.
Explain your reasoning.
a.
3
10
4
12
b.

5
10

4
8
c.
10
8
1
1
4
3
3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
Date
Class
Comparing Bits and Pieces
Unit 2 review (continued)
8. Blake was listening to his favorite radio station. He noticed that
during one hour, 15 songs were played and 3 of them were by a group
from Michigan.
a. What is the ratio of songs by the group from Michigan to the number
of songs played?
b. Write this as a unit rate.
c. Suppose the station continues to play this ratio of songs. How
many times will Blake hear songs by this same group in the next
three hours?
9. a. How many thirds are in
3
2
?
3
b. How many fifths are in 1.8?
10. Write each fraction as a decimal.
a.
2
7
b.
100
7
c.
8

21
30
11. Write each decimal as a fraction.
a. –0.8
c. –2.505
b. 0.04
4
3Copyright ©
Name
Date
Class
Comparing Bits and Pieces
Unit 2 Review (day 2)
1.
Does this represent a rate? Why or why not?
1
3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
Date
Class
Comparing Bits and Pieces
2. How many fourths are in 3 3/4?
3. How many fifths are in 4.2?
4. Use the number line to order the fractions least to greatest.
-2/5, 1 1/5, -3/5, 2/5, 5/5, -0.80
5. Choose all the fraction pairs that are equivalent.
a. 2/5 and 5/25
b. -6/5 and -1 2/10
c. -1/5 and -2/10
d. 7/3 and 1 4/3
6. Lexi drives her Lexus 60 miles per hour. How far will she go in one hour and 45 minutes?
Rate (MPH)
Time
60
1
0.5
0.25
1.25
Review Quiz (Fractions, Surface Area, and Volume)
Solve all the problems and show all your work.
No calculators allowed.
Name:
______________________
Date:
______________________
Period:
_____________________
1. If Mr. Gillingham has 20 1/4 feet of rope and each student needs 1 ¾ feet of rope
for a project in Survival Skills. How many students will Mr. Gillingham have rope
for?
2. 2/3 X 1 3/4 =
3. 5/6 ÷ 1/5 =
4. Arrange the numbers from least to greatest:
-3, 0.5, -6, 0, 3, 2.5
5. At Maywood there are 1,200 students, if 70% are wearing Seahawks gear, what is
the total number of students wearing Seahawks gear?
6. Mr. Ciraulo is performing circus acts. He tosses a fire stick into the air every 5
seconds and juggles his rocks every 2 seconds. How many seconds will pass before
he has to toss both items in the air at the same time?
7. Find the volume of the rectangular prism.
8. Find the surface area of the rectangular prism.
9. Define absolute value
10.
a.
b.
c.
d.
e.
Choose all the expressions that are equivalent to 10 X 25
5(2+5)
5X2+5X5
10(20+5)
5+5X25
20X25-10-25
11.
Write three facts about opposite numbers.
12.
Mrs. Buck grades one test in 4 minutes. How long will it take her to grade 120
tests?
13.
Mr. Coyne grades 90 tests in 450 minutes. What is his unit rate per test?
14.
Mrs. Grow is packing snacks for her class she has 25 apples and 35
strawberries. She wants an equal amount of each fruit for every bag she packs.
What is the greatest number of bags she can pack?