Order of Operations
Greatest Common Factor
Least Common Multiple
LCM & GCF Mixture
LCM & GCF Mixture
100

13-3+7-1

16

100

Addison just received two separate gifts from her great-great-grandmother.

The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.

Addison wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.

What is the greatest number of snack bags that Addison can make?

6 snack bags

100

Nathan is buying nuts and bolts at a local hardware store. The store sells nuts in packs of 8 and bolts in packs of 4. If Nathan wishes to buy the same number of nuts and bolts, what is the smallest number of nuts that he can buy?

8 nuts

100

Kerrigan is a tour guide who gives several tours over the course of a morning shift and an evening shift. Her morning shift tours are given to groups of 10 people while her evening shift tours are given to groups of 5 people. If the total number of tourists in the morning shift is the same as the total number of tourists in the evening shift, what is the minimum number of tourists that Kerrigan guides in each shift?

10 tourists

100

Aydinn has 16 baseballs and 20 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Aydinn can make?

4 groups

200

(33−10)+7

24

200

Zoe is going to plant 54 oak trees and 27 pine trees.

Zoe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.

What is the greatest number of trees Zoe can have in each row?

27 trees

200

Drew and Derek both did their laundry today. Drew does laundry every 6 days and Derek does laundry every 9 days.

How many days will it be until Drew and Derek both do laundry on the same day again?

18 days

200

To encourage public transportation, Ja'Leese wants to give some friends envelopes with bus tickets and subway tickets in them. If she has 15 bus tickets and 20 subway tickets to split equally among the envelopes, and wants no tickets left over, what is the greatest number of envelopes Ja'leese can make?

5 envelopes

200

The head of a conference wants to distribute the male and female staff members evenly among all the check-in stations, with no staff members left over. If there are 30 male and 40 female staff members, what is the greatest number of check-in stations that can be set up?

10 check-in stations

300

(4+3)2+5

54

300

Mrs. Murray is going to plant 63 tomato plants and 81 rhubarb plants.

Mrs. Murray would like to plant the plants in rows where each row has the same number of tomato plants and each row has the same number of rhubarb plants.

What is the greatest number of rows Mrs. Murray can plant?


9 rows

300

Your local radio station is having their yearly music player and one concert ticket giveaway. For one minute, every 5th  caller will win a music player and every 7th caller will win concert tickets.

What number caller will be the first one to win both a music player and concert tickets?

35th caller

300

Sophia and Kayla are bowling with plastic pins in Sophia's living room.

Remarkably, Kayla knocks down 8 pins on every bowl, and Sophia knocks down 9 pins on every bowl. At the end of the day, Sophia and Kayla have knocked down the same total number of pins.

What is the least number of total pins that Sophia and Kayla could have each knocked down?

72 pins

300

Zaven is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.

He has 72 pencils and 24 calculators and he must use all of the pencils and calculators.

If Zaven creates the greatest number of identical packages possible, how many pencils will be in each package?

3 pencils

400

6÷3+92−3

80

400

Jackson has 39 pairs of headphones and 13 music players. Jackson wants to sell all of the headphones and music players in identical packages.

What is the greatest number of packages Jackson can make?

13 packages

400

Aaron goes sailing every 6th day and Joel goes golfing every 7th day.

If Aaron and Joel both went sailing today, how many days until they will go sailing on the same day again?

42 days

400

Two of the lights in the classroom are flickering. They both just flickered at the same time.

One of the lights flickers every 7 seconds and the other light flickers every 8 seconds.

How many seconds until both lights will flicker at the same time again?

56 seconds

400

Noel is completing an art project. She has two pieces of construction paper. The first piece is 44 cm wide and the second piece is 33 cm wide.

Noel wants to cut the paper into strips that are equal in width and are as wide as possible.

How wide should Noel cut each strip?

11 cm wide

500

(2⋅3)2+(52)÷1

50

500

There are 72 boys and 90 girls on the math team.

For the next math competition, Ms. Benini would like to arrange all of the students in equal rows with only girls or only boys in each row.

What is the greatest number of students that can be in each row?

18 students

500

Eli plays video games every 15 days for one day and Renee goes every 24 days, also for one day. Today, Eli and Renee are both playing video games. After how many days both ELi and Renee will be playing video games again on the same day?

120 days

500

Aiden practices the trumpet every 11th day and the flute every 3rd day.

Aiden practiced both the trumpet and the flute today.

How many days until Aiden practices the trumpet and flute again on the same day?

33 days

500

Mrs. Moquin is baking cookies to put in packages for a fundraiser. Mrs. Moquin has made 86 chocolate chip cookies and 42 sugar cookies.

Mrs. Moquin wants to create identical packages of cookies to sell, and she must use all of the cookies.

What is the greatest number of identical packages that Mrs. Moquin can make?

2 packages

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