TEST NAME: GCF and LCM
TEST ID: 1214006
GRADE: 06 - Sixth Grade
SUBJECT: Mathematics
TEST CATEGORY: My Classroom
GCF and LCM
Page 1 of 7
09/22/16, GCF and LCM
Student:
Class:
Date:
1. At a school fundraiser, batteries are available only in packages of 6. A new robot toy requires 8
batteries. If Mark wants to purchase several of these toys with the exact number of batteries for
each toy, what is the least amount of each he should purchase?
A.
3 packages of batteries and 2 robot toys
B.
3 packages of batteries and 3 robot toys
C.
4 packages of batteries and 3 robot toys
D.
8 packages of batteries and 6 robot toys
2. Paula has 54 stickers and 36 pencils that she wants to put in bags.
• All the bags will have an equal number of stickers.
• All the bags will have an equal number of pencils.
What is the greatest number of bags she can make and have no stickers and pencils left over?
A.
6
B.
9
C.
18
D.
27
3. At a store, markers are sold in packages of 12 and pens are sold in packages of 8. What is the
least number of markers and pens Rick needs to buy to have an equal number of markers and
pens?
A.
12
B.
20
C.
24
D.
40
4. Matt has soccer practice on May 4. He will practice every fourth day after that. Kent
begins baseball practice on May 3, and continues practice every third day after that. What will
be the first date on which they both have practice?
A.
May 5
B.
May 7
C.
May 12
D.
May 24
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5. At the first baseball game of the season, every 6th person entering the ballpark received a
coupon for a free hot dog. Every 10th person received a coupon for a free soft drink. What is the
number of the first person to enter the ballpark that received a coupon for a free hot dog and a
coupon for a free soft drink?
A.
10th
B.
16th
C.
30th
D.
60th
6. A city holds an election for Mayor every 4 years and an election for Treasurer every 6 years. It
held elections for both Mayor and Treasurer this year. How many years will it be before the
elections for Mayor and Treasurer both happen in the same year again?
7.
8.
A.
10
B.
12
C.
20
D.
24
The mathematics club wants to divide the boys and girls into the
greatest number of teams possible. Each team will have the same
number of boys and the same number of girls. There are 84 boys and 72
girls. How many boys and girls will be on each team?
A.
6 boys and 7 girls
B.
7 boys and 6 girls
C.
12 boys and 12 girls
D.
14 boys and 12 girls
There are 90 girls and 60 boys participating in a race. The coach
separates them into two equal groups made of all girls or all boys. What
is the greatest number of students possible for each group?
A.
15
B.
30
C.
60
D.
90
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Jack is making snack bags. He has 18 baby carrots and 42 pretzels. He
wants to divide them equally among the bags. What is the greatest
number of snack bags he can make?
9.
10.
11.
A.
3
B.
5
C.
6
D.
18
Mrs. West took her class on a field trip to a museum. The cost of
admission for the girls was $90 and the cost for the admission for the
boys was $75. Each ticket cost the same amount. What was the cost for
each ticket?
A.
$25
B.
$15
C.
$10
D.
$9
At the grand opening of a new store, every 9th customer will receive a
balloon and every 12th customer will receive a $10 gift certificate. Which
customer will be the first to get both a balloon and gift certificate?
A.
24th customer
B.
36th customer
C.
54th customer
D.
72nd customer
GCF and LCM
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12.
13.
14.
Sandra brings cheese and crackers for lunch every 6 days, and Lily brings
cheese and crackers every 8 days. If they both brought cheese and
crackers today, how many days will it be before both girls bring cheese
and crackers again?
A.
12
B.
14
C.
16
D.
24
The lunch special at Del’s Restaurant repeats every 8 days, and the lunch
special at Emily’s Restaurant repeats every 12 days. Both restaurants are
serving the same lunch special today, chicken fried steak with gravy. How
many days will there be until the next time both restaurants again serve
chicken fried steak with gravy?
A.
4
B.
20
C.
24
D.
96
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles
in rows using one color for each row without having any tiles left over.
Each row must have the same number of tiles. What is the greatest
number of tiles Martha can use for each row?
A.
6
B.
9
C.
18
D.
30
GCF and LCM
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15. A store sells small picture frames in packages of 6 and large picture frames in packages of 2. Tony bought
the least amount of packages possible with the same amount of each size. How many packages of large
picture frames did Tony buy?
A.
12
B.
6
C.
3
D.
2
16. A cook has 16 slices of roast beef and 24 small potatoes. Each plate should have the same number of
slices of roast beef and the same number of small potatoes. What is the largest number of plates that can
be made with no roast beef or small potatoes remaining?
A.
4
B.
8
C.
16
D.
24
17. Brianna’s younger brother has 18 train and 24 car magnets. He arranged the magnets into groups
consisting of the same amount of trains and cars with none left over. If he made the greatest number of
groups possible, how many groups did he make?
18.
A.
3
B.
6
C.
9
D.
12
Jason is buying hot dogs and hot dog buns. Hot dogs come in packages
of 8 and hot dog buns come in packages of 10. How many packages of
each will Jason need to buy so there are no hot dogs or hot dog buns left
over?
A.
6 packages of hot dogs and 5 packages of hot dog buns
B.
5 packages of hot dogs and 5 packages of hot dog buns
C.
5 packages of hot dogs and 4 packages of hot dog buns
GCF and LCM
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19.
20.
A teacher wants to buy the same number of colored markers and colored
pencils. Markers come in boxes of 12, and pencils come in boxes of 16.
What is the fewest number of boxes of markers and pencils the teacher
needs to buy?
A.
3 boxes of markers, 2 boxes of pencils
B.
4 boxes of markers, 3 boxes of pencils
C.
5 boxes of markers, 4 boxes of pencils
Linda is buying soda and juice for her party.
There are 12 cans of soda in a package.
There are 8 cans of juice in a package.
She wants to have an equal number of soda and juice cans.
What is the fewest number of packages of juice Linda needs to buy?
A.
2
B.
3
C.
4
GCF and LCM
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