“I have plenty of math word problems for my students to practice.”

Said no Math Teacher EVER!!!

“Collecting” math word problems is a strange teacher hobby I have. Odd, I know.

But, it’s getting harder and harder to pull from my inventory of old math texts. Do your students even know what a DVD player is? OMG, and VHS videos? Hah!

So to keep updated, I’ve turned to Chat GPT for ideas.

I love the variety of math situations that Chat GPT generates. I change the numbers to fit the computation skills I need students to practice and away we go!

So let me share a recent search

**“Write 10 Math word problems for 6th grade math that use Greatest Common Factor to solve the problem.”**

Sure, here are 10 word problems suitable for 6th graders that require finding the greatest common factor (GCF) to solve:

**Classroom Arrangement**: Mrs. Johnson wants to arrange 30 blue chairs and 45 red chairs into equal rows. What is the greatest number of rows she can make if each row must have the same number of each color chair?**Ribbon Cutting**: Sarah has two pieces of ribbon, one is 56 inches long and the other is 72 inches long. She wants to cut both ribbons into pieces of equal length without any leftover. What is the longest length of each piece she can cut?**Packing Boxes**: A factory has 40 small boxes and 60 large boxes. They need to be packed into the greatest number of crates, with each crate containing the same number of small and large boxes. How many crates can they pack?**Dividing Pizzas**: A party has 36 cheese pizzas and 48 pepperoni pizzas. They want to divide the pizzas into equal groups, with each group having the same number of each type of pizza. What is the largest number of groups they can make?**Sharing Apples**: Two friends have apple trees. One has 24 apples and the other has 36 apples. They want to share their apples equally among the greatest number of friends without cutting any apples. How many friends can share the apples?**Making Banners**: The school is making banners using 42 red flags and 63 blue flags. They want to arrange them in the greatest number of equal rows, with each row having the same number of each color flag. How many rows can they make?**Distributing Candies**: A teacher has 54 chocolate candies and 72 gummy candies. She wants to distribute them into bags with the same number of each type of candy in each bag. What is the greatest number of bags she can make?**Gardening**: Tim has 28 tomato plants and 35 cucumber plants. He wants to plant them in rows, with each row containing the same number of tomato and cucumber plants. What is the maximum number of rows he can plant?**Wrapping Gifts**: Emma has two rolls of wrapping paper, one 64 inches long and the other 80 inches long. She wants to cut them into pieces of equal length without any leftover. What is the greatest length of each piece she can cut?**Organizing Teams**: A sports club has 32 basketballs and 48 soccer balls. They want to organize them into the greatest number of teams, with each team having the same number of each type of ball. How many teams can they form?

Then I decided I wanted some problems with 3 numbers as well.

**“Write 10 Math word problems for 6th grade math that use the Greatest Common Factor of 3 numbers to solve the problem”**

Sure, here are 10 word problems for 6th grade that involve finding the greatest common factor (GCF) of three numbers:

**Muffin Packs:**Mrs. Smith is baking 24 chocolate, 36 blueberry, and 60 banana muffins. She wants to pack them into identical boxes with each box containing the same number of muffins of each type. What is the greatest number of boxes she can use?**Toy Sets:**A toy company wants to create gift sets containing 42 toy cars, 56 toy trains, and 98 toy planes. What is the greatest number of gift sets they can create if each set must have the same number of each type of toy?**Gardening Groups:**There are 72 rose bushes, 90 tulip bulbs, and 108 sunflower seeds to be planted. If a gardener wants to divide them into groups with each group having the same number of each type of plant, what is the largest number of groups that can be made?**Fruit Baskets:**Farmer Joe has 54 apples, 81 oranges, and 99 bananas. He wants to create fruit baskets with the same number of each type of fruit in each basket. What is the greatest number of baskets he can make?**Classroom Supplies:**A teacher has 72 pencils, 48 markers, and 24 erasers. She wants to distribute them into identical supply kits for her students. What is the greatest number of kits she can create?**Party Favors:**There are 24 balloons, 36 party hats, and 60 candy bags to be divided into the same number of party favor bags. What is the maximum number of bags that can be made with an equal number of each item in each bag?**Sports Teams:**There are 48 basketballs, 72 soccer balls, and 84 volleyballs. If a sports club wants to form the greatest number of identical teams, with each team having the same number of each type of ball, how many teams can they form?**Baking Ingredients:**A baker has 30 cups of flour, 45 cups of sugar, and 75 eggs. He wants to make the greatest number of identical batches of cookies. What is the greatest number of batches he can make?**Library Books:**A librarian has 28 mystery novels, 42 science fiction books, and 70 biographies. She wants to create reading sets with the same number of each type of book in each set. What is the maximum number of reading sets she can create?**Concert Tickets:**A ticket seller has 32 rock concert tickets, 48 pop concert tickets, and 64 jazz concert tickets. He wants to create the greatest number of identical ticket bundles. What is the greatest number of bundles he can create.

Then I decided that I wanted cross-curricular word problems. I started with Science:

**“Write 10 Math word problems for 6th grade math that use the Greatest Common Factor of 3 numbers to solve the problem and apply it to 6th Grade Science”**

Sure, here are 10 word problems for 6th grade that use the greatest common factor (GCF) of three numbers and relate to 6th grade science concepts:

**Plant Growth Experiment**Three different types of plants were watered every 15, 30, and 45 days. What is the greatest number of days that will pass before all three plants are watered on the same day again?**Rock Collection**Maria has 24 igneous rocks, 36 sedimentary rocks, and 48 metamorphic rocks. She wants to divide them into the greatest number of equal groups, each containing the same number of each type of rock. How many groups can she make?**Cell Division**A scientist is studying the cell division cycles of three different bacteria. They divide every 18, 27, and 36 minutes respectively. After how many minutes will all three bacteria divide at the same time?**Chemical Solution Preparation**To prepare a chemical solution, a chemist uses three ingredients in quantities of 60 ml, 75 ml, and 90 ml. What is the largest volume measurement that can be used to equally divide each ingredient?**Astronomy Observations**A telescope captures images of three planets every 20, 30, and 50 days. After how many days will the telescope capture images of all three planets on the same day?**Fossil Classification**A museum curator has 40 fossils from dinosaurs, 56 fossils from ancient birds, and 72 fossils from marine life. He wants to organize them into the greatest number of identical display cases. How many fossils will be in each display case?**Water Cycle**Three reservoirs fill up with water every 12, 18, and 24 hours respectively. After how many hours will all three reservoirs be full at the same time?**Animal Study**Three species of animals are being observed. One species is observed every 14 days, the second every 21 days, and the third every 28 days. How many days until all three species are observed on the same day?**Geology Sample Analysis**A geologist takes samples from three different sites every 25, 35, and 45 days. After how many days will she take samples from all three sites on the same day?**Meteor Shower Tracking**During a meteor shower, three observatories record the highest meteor activity every 16, 24, and 40 days respectively. After how many days will all three observatories record peak meteor activity on the same day again?

**Take Note: Problems # 1, 3, 5, 7, 8, 9, 10 are actually Least Common Multiple Problems. So I guess you’re ahead on that word problem research.**

I continued my search with Social Studies word problems:

**“Write 10 Math word problems for 6th grade math that use the Greatest Common Factor of 3 numbers to solve the problem and apply it to 6th Grade ancient History”**

Sure, here are ten word problems for 6th graders that involve finding the greatest common factor (GCF) of three numbers and relate to ancient history:

**Roman Legions Problem:**Three Roman legions have 72, 108, and 144 soldiers. They need to be divided into the largest possible equal-sized groups for a parade. How many soldiers will be in each group?**Ancient Egyptian Craftsmen:**Ancient Egyptian craftsmen are creating artifacts with 84, 126, and 168 beads. They want to divide the beads into the largest possible equal groups for their projects. How many beads will each group have?**Greek Festival Preparation:**For a Greek festival, 60, 90, and 150 pieces of fruit are being prepared. They need to be arranged into the largest possible equal groups for the festival. How many pieces of fruit will each group contain?**Sumerian Clay Tablets:**In ancient Sumer, scribes have 36, 60, and 96 clay tablets. They want to organize them into the largest possible equal stacks. How many tablets will be in each stack?**Phoenician Traders:**Phoenician traders have 42, 70, and 98 spices. They want to package them into the largest possible equal bundles for trading. How many spices will be in each bundle?**Mayan Mathematicians:**Mayan mathematicians have discovered 56, 84, and 140 ancient glyphs. They want to categorize them into the largest possible equal groups for study. How many glyphs will be in each group?**Ancient Chinese Warriors:**Three ancient Chinese armies have 48, 72, and 120 warriors. They need to be arranged into the largest possible equal units for battle. How many warriors will be in each unit?**Indian Kingdoms:**Three Indian kingdoms are combining their resources: 54, 81, and 108 gems. They want to distribute them into the largest possible equal shares. How many gems will be in each share?**Persian Empire:**The Persian Empire has three groups of artifacts: 64, 96, and 128. They want to display them in the largest possible equal sets. How many artifacts will be in each set?**Inca Builders:**Inca builders are using 80, 100, and 120 stones to construct a temple. They need to divide the stones into the largest possible equal piles. How many stones will be in each pile?

**I am on my way!!**

I may reword some problems.

For example, I may change the fruit in Ancient Greece to three specific varieties of olive grown.

I may change some numbers to provide for a variety of solutions and strategies.

But hey, I have 30+ word problem situations that I can quickly tweak for my students without hours of searching or trying to create out of thin air!!

And this is just the start. Maybe you want to create word problems for a specific holiday, or for a particular population, like farmers. The more specific your GPT prompt, the better will be your results and time saved!!!

**Now What?**

I create Self-Checking Task Cards for each Word Problem. It’s my favorite form of formative assessment.

You’ll love the heightened student engagement, immediate feedback, and differentiation opportunities that Self-Checking Task Cards provide!

Check out these related blog posts.

**10 Reasons Task Cards Absolutely Belong in your Middle School Classroom.**

**8 Reasons Self-Checking Task Cards Beat out Traditional Task Cards**

**10 Easy Ways Task Cards Will Jumpstart your MS Math Classroom**

How to Make and Store Task Cards

**Looking for Ready-made Math Task Cards?**

Check out **Self-Checking Math Task Cards from my Middle Grades Math TpT Store.**

Happy Problem Collecting!

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