Ratios
What are the three notations for a ratio?
Colon, "to" or as a fraction
Example:
2:3, 2 to 3 or 2/3
What is an equivalent ratio of 1/2?
Many answers - possible options: 2/4, 3/6, 4/8, etc.
What is the rate of words per minute if Jahrial texted 100 words in two minutes?
50 words/minute
What are two units of measurement used in conversion problems?
Examples include length (inches, feet, meters, etc.), weight (lbs.), volume (cups, pints, gallons, etc.) and many others.
100 students were surveyed over what ice cream flavor is their favorite. 30 chose vanilla, 44 chose chocolate and 26 chose strawberry. What percent of students' favorite ice cream flavor is chocolate?
44%
Sixth grade was surveyed about what pets they have. 32 of them have cats only, 12 have dogs only and 24 have both cats and dogs.
How many students in sixth grade have pets?
What are two equivalent ratios of 2/3?
Many answers : possible options - 4/6, 6/9, 8/12
If Katrina read 480 words in eight minutes, what was the rate of words per minute that she read?
60 words/minute
Which system of measurement do most people think is easier to convert, metric or customary? Why?
Metric, because it is base 10.
100 students were surveyed over what ice cream flavor is their favorite. 30 chose vanilla, 44 chose chocolate and 26 chose strawberry. What is the percent of students who prefer a non-fruit flavor of ice cream?
74%
A class was surveyed on their favorite color. For every four that liked blue, five liked red. What is the ratio of students who like blue to the total number surveyed.
4:9
What is the simplest form of the ratio 48:36?
4:3
Aidan had 4 gallons of gas in his car. He drove 120 miles before he needed to stop at a gas station. What is the unit rate of miles/gallon his car gets?
30 miles/gallon
Yes, the couch is 7 1/2 feet long.
40% of a number is 56. What is the original number?
140
Sixth grade was surveyed about what pets they have. 32 of them have cats only, 12 have dogs only and 24 have both cats and dogs. How many more students have cats only than have cats and dogs?
8 more students have cats only.
Is the ratio 303:402 in simplest form? If not, what is one number you divide both numbers by?
3, other answers possible
Elliot owned a pizza shop. One of his employees worked a six hour shift and made 36 pizzas. Another employee made 28 pizzas on his four hour shift. Which employee made pizzas faster?
The employee working four hours
Ms. Jeffries' cat, Morris, weighs 352 ounces. She needs to know if she should give him a large dose of medicine (for cats over 20 pounds) or a small dose of medicine (for cats under 20 pounds). Use the conversion 1 pound = 16 ounces to solve.
She should give him the large dose of medicine because he weighs 22 pounds.
A student took a test and got 68 answers correct and 21 answers incorrect. What percentage of answers are correct?
Choices - 23.6%, 76.4%, 68.7%, 21.8%
76.4%
Sixth grade was surveyed about what pets they have. 32 of them have cats only, 12 have dogs only and 24 have both cats and dogs. What is the ratio of students who have cats to dogs AND cats to cats and dogs in simplest form?
8:3
4:3
Identify two equivalent ratios to the following ratio. For one, you must scale up. For the other, you need to scale down:
32:52
multiple possible answers, some include:
scaled down - 8:13
scaled up - 64:104
Lena owned a bakery. She worked an eight hour shift and made 400 cupcakes. How many more cupcakes per hour does she make than her employee who worked a six hour shift and made 90 cupcakes?
20 more cupcakes/hour
Ms. Jeffries' cat, Morris, eats 36 ounces of cat food each day. She has four cups of cat food left. Is this enough? Use the conversion 1 cup = 8 ounces to solve.
No, because Morris eats 4.5 cups of cat food each day.
Sheldon is a well-known baseball player from Ohio who plays in various baseball leagues every year. From 2010-2019, he won o16% of the games he played. If he played 2250 games, how many did he lose?
2,814