Factors & Multiples Cumulative Review
1. The A train arrives every 7 minutes and the B train arrives every 10 minutes at
platform 9 in Grand Northern Station. If both trains arrived at 9:05 AM, then what
time will it be when both trains arrive at the same time again?
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2. Janet spent 7 of her money on books. She spent another 3 of her money on
school supplies. What fraction of her money did she have left?
3. The football team is preparing for the season. There are 15 players. Each player
receives 1 helmet and 2 uniforms (one for away games and one for home
games). How much gear do they have altogether? Write the problem in two
different ways. Solve the problem.
4. You purchased 60 shares of Google stock for $82.50. This week your 60 shares
are worth $217.25. How much did you earn per share? Round your answer to the
nearest cent.
5. Joyce bought 8 bags of sour candy. Each bag contains 12 candies. She wants to
share the candy with 4 friends. If Joyce and each of her friends get an equal
amount of candy, how many pieces will be left over?
6. Thomas and Darren went to the sandwich shop and purchase a large sandwich
that costs $15. Darren paid for the whole sandwich and told Thomas to pay for
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just the part that he will eat. Darren ate 5 of the sandwich and Thomas ate the
rest of the sandwich. How much does Thomas owe Darren?
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7. In science class, 7 of your grade is based on tests and quizzes. The rest of your
grade is based on homework. What fraction of your grade is based on
homework?
8. There are four children. Each has 2 blue pens and 3 black pens. How many pens
is that altogether? Write this problem in two different ways. Solve the problem.
9. Serena wants to create snack bags for a trip she is going on. She has 60 granola
bars and 72 pieces of dried fruit. If the snack bags should be identical without
any food left over, what is the greatest number of snack bags Serena can make?
How many granola bars and how many pieces of dried fruit will be in each snack
bag?
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10. The area of a triangle is 24 2 ft. Using the formula 𝐴 = 2 𝑏ℎ, find the height of the
triangle if the base measures 7 ft.
11. Carla can make a friendship bracelet in 6 days. Valeria can make one in 9 days.
If they both start making friendship bracelets on the first of the month, then by
which date will they have made the same number of bracelets? How many
bracelets will Carla have made? How many will Valeria have made?
12. A redwood tree measures 7.9 meters tall. A lumberjack will leave 0.75 meters of
the trunk when it cuts the tree down. The lumberjack is unable to sell the top 1.2
meters of the tree. How much of the tree will the lumberjack be able to sell?
13. Mandy is making emergency-preparedness kits to share with friends. She has 40
bottles of water and 55 cans of food, which she would like to distribute equally
among the kits, with nothing left over. What is the greatest number of kits Mandy
can make?
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14. Philip spent 10 of an hour talking to his friends Tony and Chris on his cell phone
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Wednesday night. If he talked to Tony for 10 of an hour, how long did he talk to
Chris?
A square has a side length of 4.5 inches. What is the area of the square? (Use
the formula 𝐴 = 𝑠 2 .)
Write an expression for the steps “triple seven and then add 24”. Solve the
expression.
A bottle of apple juice contains 915 milliliters. If you want to pour the juice into 25
glasses with the same amount in each glass, how many milliliters would be in
each glass? How many milliliters would you have left over?
In order to train for a cross-country track meet, Erin runs every day for 15.8 miles
four times a week. How many total miles does she run each week? How many
total miles does she run in a year?
Derrick, Jessica, Pedro, and Carla went to the diner for lunch. After tip, the total
was $43.88. How much does each owe if they split the bill equally?
A regular pentagon has sides that are equal in length and angles that are equal
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in measure. Each side of the pentagon measures 4 3 mm. What is the perimeter
of this pentagon?
Chris is stocking bathrooms at the summer camp where he works. He has 12
rolls of toilet paper and 9 bars of soap. If he wants all bathrooms to be stocked
identically, with the same combination of supplies in each one and nothing left
over, what is the greatest combination of bathrooms Chris can stock? How many
rolls of toilet paper and how many bars of soap can he put in each bathroom?
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Melissa trains every day for an upcoming track meet. Today she ran 4 of a 4 2
mile course. How many miles did she run?
Brian measured his room and one of the walls measured (3.6 x 102) inches.
Evaluate the expression to find the length of the wall in inches. How many yards
in length is the same wall?
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Martha earns $4,240 every month. She saves 8 of her earnings and spends 2 of
the remaining money on groceries. How much she spend on groceries?
The ballet class is leaving for the recital. Each of the 10 girls has 4 costumes and
2 pairs of ballet slippers. How much clothing do they have altogether? Write this
problem in two different ways. Solve the problem.
Find the volume of the step stool.
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27. Joey bought a container of peanut brittle that weighs 21 3 ounces. He wants to
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sell the peanut brittle in small bags that will each hold 1 3 ounces. How many
small bags of peanut brittle can he make?
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28. In science class, students measured the objects in their desks to the nearest 2, 4,
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or 8 of an inch then displayed the data they collected on a line plot. How many
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objects measured 4 in.? 2 in.? If you put all the objects together from end to end,
what would be the total length of all the objects?
29. Indira plotted the ordered pairs (1, 3), (3, 3), and (3, 1). She connected the points
and said she made a square. Explain what Indira’s mistake was. Identify the
shape she drew by angle and by sides. What point should Indira plot to make the
figure a square?
30. What fraction of 35.7 is 3.57?
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31. A square has a perimeter of 10 7 cm. What is the measure of each side?
32. Write the following number in standard form: five hundred twenty seven and
ninety-one thousandths.
33. Each case of Girl Scout Cookies contains 12 boxes. If Noel sold 130 boxes of
Thin Mints, then how many complete cases does she need to pick up from the
cookie mom? Will she need to pick up any extra boxes of cookies? If yes, how
many?
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34. The Space Wars 3-D ride lasts 3 6 minutes. The Wonderland 3-D ride lasts 3 4
minutes. What is the total amount of time for both rides?
35. Amanda is planning a road trip with 3 of her closest friends. She is planning on
traveling from New York City to Orlando, Florida. The distance between the two
cities is approximately 1,074 miles. If they plan on spending exactly 12 days
driving round trip (to Orlando and back), then about how many miles will they
need to drive each day?
36. A piano solo on a CD is 5.43 minutes long. A guitar solo is 9.7 minutes long. How
much longer is the guitar solo than the piano solo?
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37. Mark purchased 5 pound of jelly beans and 4 pound of chocolate. Find the total
weight of his purchases.
38. Justice wanted to convince his principal to add meatloaf to their school lunch
menu. He surveyed his classmates and found that 46% of his classmates agreed
that meatloaf should be added. If there are 1,450 students in his school, then
how many students agreed with Justice?
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39. Pedro skateboards from his house to the library. After skateboarding for 2 5 mi.,
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he still has to skateboard for another 3 2 mi. in order to reach the library. How far
is his house from the library?
40. Kenneth is training for football tryouts. On Monday he runs 2.4 miles, on
Wednesdays 4.35 miles, on Fridays 3.9 miles, and on Saturdays 2.75 miles.
What is the average distance Kenneth runs on each of the days that he runs?
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Answer Key
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10:15 AM
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2 7 cm
527.091
10 cases; Yes; 10 boxes
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7 12 minutes
179 miles
4.27 minutes
1
1 20 pounds
667 students
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6 10 mi.
2
21
15(1 + 2)
$2.25
1 piece
$6
15 x 1 + 15 x 2
45
2
7
4(2 + 3)
4x2+4x3
20
12 snack bags, 5 granola bars, 6 pieces of dried fruit
7 ft
18th , Carla makes 3, Valeria makes 2
5.95 m
3 bathrooms, 4 rolls of toilet paper, 3 bars of soap
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of an hour
5
20.25 in2
(3 x 7) + 24; 45
36 mL; 15 mL
63.2 mi; 821.6 mi
$10.97
2
21 3 mm
5 kits, 8 bottles of water, 11 cans of food
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3 8 mi
360 inches; 10 yards
$1325
10(4 + 2)
10 x 4 + 10 x 2
60
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22 in
16 bags
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3 objects; 2 objects; 4 4 in.
Right triangle, Isosceles triangle; (1, 1)
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10
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40. 3.35 mi
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