GCF/LCM
At a local bakery, Bert decorated 5 cakes at a time. Darrell decorated 7 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?
35 cakes
Liz is taking guitar lessons and practices every night. Yesterday, she played a total of 40 chords in 8 minutes. Today, she will play chords for 5 minutes.
If she plays at the same rate, how many chords will Liz play today?
25 chords
w/7 = 50/70
w = ?
w=5
Shawn and Robert are comparing the scout patches they've earned. Shawn has a total of 8 patches, 5 of which are explorer patches. Robert has a total of 6 patches, 3 of which are explorer patches. Do Shawn and Robert have the same ratio of explorer patches to total patches?
No
Julie won the 100-meter dash by 1/20 of a second. Write 1/20 of a second as a decimal and a percent.
0.05 and 5%
Rachel and Molly make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Rachel walks pets in groups of 6 and Molly walks pets in groups of 4. What is the smallest total number of pets each could be walking?
12 pets
Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 30 inches long.
If she knits at the same rate, how many minutes will it take Shelby to knit the scarf?
90 minutes
Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?
5 ornaments
Dan is making a model volcano for the science fair. He wants an awesome eruption, so he tries different amounts of baking soda and vinegar. First, he tries 2 tablespoons of baking soda and 6 tablespoons of vinegar. Next, he tries 3 tablespoons of baking soda and 9 tablespoons of vinegar. Did Dan use the same ratio of baking soda to vinegar in both eruptions?
Yes
People with green eyes make up 2% of the world's population.
Write 2% as a fraction in simplest form and as a decimal.
1/50 and 0.02
Hazel has 49 glasses and 35 mugs. She would like to set them out in identical groups, with none left over, in preparation for a dinner party. What is the greatest number of groups Hazel can set out?
7 groups
Marcy loves to do puzzles. Last week, she spent 2 hours putting together a puzzle with 300 pieces. This week, she wants to put together a puzzle with 450 pieces.
If she keeps the same pace, how many hours should it take Marcy to put the puzzle together this week?
3 hours
What are the prime factors of 28?
2x2x7
Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds 3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which candle has a greater ratio of lavender to vanilla?
The Essential Elengance.
Hot chocolate sales at The Salty Bagel go up by 5% every time it rains.
Write 5% as a fraction in simplest form and as a decimal.
1/20 and 0.05
Sasha is serving vegetables at a soup kitchen. She has 32 carrot sticks and 48 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Sasha can prepare?
16 plates
Marcy loves to do puzzles. Last week, she spent 2 hours putting together a puzzle with 300 pieces. This week, she wants to put together a puzzle with 450 pieces.
If she keeps the same pace, how many hours should it take Marcy to put the puzzle together this week?
60 minutes
What is the prime factorization of 32?
2x2x2x2x2
Tina and her sister, Kelly, both make orange juice by taking the frozen concentrate their mom buys and mixing it with water in a pitcher. They both use a full can of concentrate, but Kelly always adds more water than Tina. Whose pitcher of orange juice has a stronger orange flavor?
Tina's pitcher has a stronger flavor.
Gordon is the quarterback of his school's football team. He has completed 84% of his passes this season.
Write 84% as a fraction in simplest form and as a decimal.
21/25 and 0.84
A club has 18 girls and 48 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
6 groups
Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?
6 pounds
14/15 = 84/c
c=?
c=90
Liam and his twin sister, Lexi, are frosting cupcakes for a school bake sale. Liam frosts 8 vanilla cupcakes and 16 chocolate cupcakes. Lexi has less time, so she only frosts 4 vanilla cupcakes and 8 chocolate cupcakes. At the bake sale, the vanilla cupcakes are more popular than the chocolate ones. Who frosted a greater ratio of vanilla cupcakes to chocolate cupcakes?
Neither, they frosted the same ratio of cupcakes.
A kilometer is approximately 0.6 miles.
Write 0.6 miles as a fraction in simplest form and as a percent.
3/5 and 60%