Fractions Unit Review Packet
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2.
There are 1,716 students participating in Wellness Day. They are put into teams
of 16 for the competition. How many teams are created? Will there be any extra
students? If so, how many students will be remaining?
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Suppose that at a track meet, the lead runner is 8 mile ahead of the second3
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place runner and the second-place runner is 8 mile ahead of the third-place
runner. How far apart are the lead runner and the third-place runner?
Use the rule “add 3” to write the first 5 numbers in a sequence starting with 0.
Use the rule “add 6” to write the first 5 numbers in a sequence starting with 0.
What do you notice about the pattern? How do the rules affect the pattern?
Write a list of ordered pairs using the two sequences of numbers where the first
quantity in each ordered pair comes from the first sequence. Graph the points
on a coordinate grid.
There are 5 types of grains of sand: very fine, fine, medium, coarse, and very
coarse. Marie measured the diameters of a grain of sand from each type and
recorded the following: 0.716 mm, 0.7 mm, 0.61 mm, 0.608 mm, and 0.79 mm.
Can you help Marie determine which diameter corresponds to which type by
ordering the numbers from least to greatest?
Amanda bought a 40 lb bag of candy. She decided to split it equally with her two
sisters. How many pounds will each receive? Write your answer as a mixed
number.
Devin uses fourteen 12.9 oz cans of chicken broth when he makes his famous
chicken noodle soup at his restaurant. How many total ounces of chicken broth
does he use?
Popcorn Mania sells different flavored popcorn in rectangular metal bins. The
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caramel popcorn comes in a bin that measures 5 5 inches in height and the area
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of its base measures 13 2 square inches. How many cubic inches of popcorn
can the container hold?
8. The total number of calories in a super value size bag of honey barbecue
flavored potato chips is 3,200 calories. If each bag contains 15 servings, about
how many calories are in each serving?
9. Plot the following ordered pairs on a coordinate grid: A(2, 6), B(4, 6), C(6, 3),
D(2, 3). What geometric figure is formed? What attributes did you use to identify
it?
10. The average length of the head and body of a field mouse is 2.9 inches. The
average length of the tail is 2.8 inches. What is the actual total length of a field
mouse?
11. Alexia is making trail mix bags for each of her students to take on their field trip.
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4
2
She puts in 1 2 oz of dried cranberries, 2 5 oz of almonds, 2 5 oz of walnuts and
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1 4 oz of dried pineapples. How much does each trail mix bag weigh? If she has
8 students, how much will the bags weight altogether?
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12. The average length of a humpback whale is 13.6 meters. The average length of
a killer whale is 6.85 meters. How much longer is the humpback whale than the
killer whale?
13. Two afterschool clubs are having pizza parties. For the Debate Club, the
teacher will order 3 pizzas for every 5 students. For the Science Club, the
teacher will order 5 pizzas for every 9 students. Since you are in both groups,
you need to decide which party to attend. How much pizza would you get at
each party? If you want to have the most pizza, which party should you attend?
Show your work.
14. Write the mathematical expression that is equivalent to the number sentence:
subtract 15 from 45, and then divide by 3. Solve the expression.
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15. The perimeter of a triangle is 10 in. One side measures 3 6 in. and the second
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side measures 5 6 in. What is the measure of the third side?
16. What number is one-tenth of the number shown in expanded form below?
1(10,000) + 2(1,000) + 4(100) + 3(10) + 2(1) + 5(1/10) + 3(1/100)
17. There are 25 servings in a 16.8 ounce bottle of cooking oil. How many ounces
are in a serving?
18. Darren and Robert love to catch lightning bugs. The chart below shows the total
number of lightning bugs Darren and Robert have at the end of each day
(including previous catches).
Days
0
1
2
3
4
5
Darren’s Total Number
of Lightning Bugs
0
2
4
6
8
?
Robert’s Total Number
of Lightning Bugs
0
4
8
12
16
?
Describe the pattern of how many lightning bugs each catches per day.
Compare the pattern. How many lightning bugs will each have at the end of day
5? Make a graph of the number of lightning bugs.
4
19. A bag of pecans has a mass of 15 oz. The mass of a bag of almonds is 5 that of
the bag of pecans. What is the mass of the bag of almonds? What is the total
mass of the pecans and almonds?
20. How many times greater is the value of the digit 5 in 583,607 than the value of
the digit 5 in 362,501?
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21. Meteorologists recorded the average rainfall in several major cities. Copy the
chart and round the average rainfall in each city to the nearest tenth and
hundredth.
Average Rainfall
City
Average Rainfall
Round to the
Round to the
(in inches)
nearest tenth
nearest hundredth
New York City
60.187 inches
Los Angeles
71.053 inches
New Orleans
58.495 inches
Houston
47.908 inches
5
22. The total mass of a watermelon, honeydew melon, and a cantaloupe is 6 9 kg.
2
The watermelon has a mass of 3 3 kg. The honeydew melon has a mass that is
5
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1 6 kg lighter than the watermelon. What is the mass of the cantaloupe?
At the Ice Cream Shoppe, the top selling sundae is the Ultimate Strawberry
sundae. Each sundae gets 16 strawberries. This week they used 6,912
strawberries. How many Ultimate Strawberry sundaes did they sell?
Write the mathematical expression that is equivalent to the number sentence:
the sum of nine and five subtracted by the product of four and three. Solve the
expression.
1
There are 2 2 bus loads of students standing in the parking lot. The students are
getting ready to go on a field trip. Two-fifths of the students on each bus are
girls. How many busses would it take to carry only the girls?
One gallon of orange juice is equivalent to (3.78541 x 103) mL. Evaluate the
expression to find out how many milliliters is equivalent to one gallon. How many
liters is it equivalent to?
Jim needs to buy different size nails in order to build a tree house. He needs
nails that measure 1.27 inches and 1.243 inches long. Write an inequality
statement to compare the two nail lengths.
Jefferson Middle School is planning a Spring concert for the 6th graders. Half of
the auditorium will be used to set up the stage. The other half will seat 3 equalsized sixth grade classes. What fraction of the auditorium will one of the sixth
grade classes need?
Jackie helps her family out on their farm during her summer vacation. It takes
her 2.75 hours to drive to the farm and back. She usually goes to the farm twice
a week. How much time does Jackie spend driving if she takes 8 trips to the
farm each month?
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30. David wants to build small concrete steps that lead from his backyard to his
patio door. He drew the following sketch:
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How many cubic feet of concrete will he need to purchase to build the steps?
Write the mathematical expression that is equivalent to the number sentence:
double 5 and then add 34. Solve the expression.
Terrance bought 4 lbs of laffy taffy the last time he visited the boardwalk. He
wants to separate the container into small storage bags so that he can bring
some to work every day. Each storage bag can hold 1/5 lb of laffy taffy. How
many storage bags will he need to separate all the laffy taffy?
Justin weights 97.356 pounds. Write this number in expanded form.
A jewelry box measures 30 cm in length, 8 cm in height, and 12 cm in depth.
What is the volume, in cubic centimeters, of the jewelry box?
In science class, students measured the volume of soda in ten identical glasses
and created the line plot below.
Soda Experiment
Volume of Soda (in Liters)
If the soda is redistributed equally among the same glasses, how much soda
would each glass have?
36. Jonathan ordered 3 baseball card binders so that he can organize his collection
of baseball trading cards. Each binder cost $19.99 and shipping for the entire
order cost only $4.75. How much did Jonathan spend in all on his order?
37. The most popular cheese crackers at Craig’s Convenience store come in a case
of 18 packages. Craig sold 1,950 packages last month. How many cases did he
sell? Did he need to open an extra case? If yes, how many packages did he
need to take out from the extra case?
38. Kim needs to purchase 6.3 meters of tape for her class project. If each roll of
tape contains 90 cm and costs $4.25, what is the total cost of the tape that Kim
must buy?
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Answer Key
1. 107 teams; 4 students
1
2. 2 mile
3. “Add 3” Sequence: 0, 3, 6, 9, 12
“Add 6” Sequence: 0, 6, 12, 18, 24
30
25
20
Add 3
15
Add 6
10
5
0
0
1
2
3
4
5
6
4.
5.
6.
7.
0.608 mm, 0.61 mm, 0.7 mm, 0.716mm, 0.79 mm
1
13 3 lbs each
180.6 oz
9
72 10 cubic inches
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9.
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213 3 calories
Trapezoid; ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐷𝐶 are parallel
5.7 inches
9
3
8 20 oz; 67 5 oz
6.75 m
3/5 of the pizza from the Debate Club, 5/9 of the pizza from the Science Club;
More pizza from the Debate Club because 3/5 > 5/9
(45 – 15)  3; 10
2
1 3 in.
1,243.253
0.672 oz
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1
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18. Darren catches 2 lightning bugs each day. Robert catches 4 lightning bugs each
day. Robert catches twice as many Darren every day so Robert’s total is always
greater and is always twice as much as Darren’s total. At the end of day 5,
Darren will have 10 lightning bugs and Robert will have 20.
Catching Lightning Bugs
25
20
Darren's Total
Number of Lightning
Bugs
15
Lightning
Bugs
Robert's Total
Number of Lightning
Bugs
10
5
0
0
1
2
3
4
5
Day
19. Bag of almonds 12 oz., Total mass 27 oz.
20. 1,000 times
21. Average Rainfall
City
Average Rainfall
Round to the
(in inches)
nearest tenth
New York City
60.187 inches
60.2 inches
Los Angeles
71.053 inches
71.1 inches
New Orleans
58.495 inches
58.5 inches
Houston
47.908 inches
47.9 inches
22.
23.
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25.
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28.
29.
30.
31.
32.
1
33. 9(10) + 7(1) + 3(1/10) + 5(1/100)
+ 6(1/1,000)
34. 2,880 cubic centimeters
35. 5/16 L
36. $64.72
37. 108 cases; Yes; 6 packages
38. $29.75
1 18 kg
432 sundaes
(9 + 5) – (4 x 3); 2
1 whole bus
3,785.41 mL; 3.78541 L
1.27 > 1.243 or 1.243 < 1.27
1/6
22 hr
24 cubic feet
(2 x 5) + 34; 44
20 bags
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Round to the
nearest hundredth
60.19 inches
71.05 inches
58.50 inches
47.91 inches
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