Ratios
Unit Rates
Proportions
Fractions, Decimals, and Percentages
Brain Food
100
In the 2019 NBA Draft, of the top 15 draft picks, 6 of them played college basketball in the ACC (Duke, UNC, Virginia, etc.). What is the ratio of ACC players to total players in the top 15?
A. 15:15
B. 6:15
C. 6:9
D. 9:15
B. 6:15 OR 6 /15 OR 6 to 15
Show your work and justify this answer.
100
King T'Challa says that for $10, you can 5 bottles of Wakanda Water. What is the price per bottle?
$2 / bottle
Show your work and justify your answer.
100
Write 3 equivalent fractions ratios to 1/6.
1/6 = 2/12 = 3/18 = 4/24 = 5/30 = 6/36 = 7/42 = 8/48 = etc.
Show your work and justify your answers.
100
Warnye is the highest scorer on her basketball team. She made 2 free throws out of 4 free throws attempted. What was her percentage of free thrown shots made?
A. 30%
B. 40%
C. 50%
D. 44%
C. 50%
Show your work and justify your answer.
100
How many ways can we write a ratio? What are they?
1. Fraction (4/8)
2. Colon (4:8)
3. To (4 to 8)
200
Timothy has 20 pencils, 8 of them do not have erasers. Which ratios compares the number of pencils WITHOUT erasers to the number of pencils WITH erasers?
A. 8:20
B. 12:8
C. 8:12
D. 20:8
C. 8:12 OR 8 to 12 OR 8/12
Show your work and justify this answer.
200
Zoe is selling her famous boxes of slime. For $20, you can get 40 boxes of slime. What is the unit price per box?
$0.50 / slime box
Show your work and justify your answer.
200
3 / 10 = 9 / ?
30
Show your work and justify your answer.
200
Ms. Offutt is the highest scorer on her staff basketball team. She made 8 free throws out of 10 free throws attempted. What was her percentage of free thrown shots made?
A. 18%
B. 80%
C. 88%
D. 100%
B. 80%
Show your work and justify your answer.
200
How do all unit rate problems end?
_____ per 1 unit
_____ each 1 unit
300
By law, water for drinking must be filtered so that it is 80% pure water, and 20% fluorine (to decrease teeth decay). What is the ratio of pure water to fluorine in SIMPLEST FORM (lowest equivalent fraction)?
A. 80:20
B. 8:2
C. 2:8
D. 4:1
D. 4:1 OR 4/1 OR 4 to 1
Show your work and justify this answer.
300
For $21, Gamestop will buy a pack of 2 video games (Fortnite and 2K20). What is the unit price per game?
$10.50 / game
Show your work and justify your answer.
300
If I go 60 miles in 1 hour (60 MPH), how many miles will I go in 2 hours?
120 miles.
Show your work and justify your answer.
300
Which ASU teacher has the highest percent of free throws made?
A. Mr. Pryor made 25 of 75
B. Ms. Offutt made 30 of 60
C. Mr. Smith made 20 of 25
C. Mr. Smith made 20 of 25
Show your work and justify your answer.
300
Where did Ms. Offutt go to college?
THE Ohio State University
400
At the sixth grade school dance, there are 128 girls, 64 boys, and 3 adults. Write the ratio of the number of boys to the number of girls.
64 boys:128 girls
64 boys/128 girls
64 boys to 128 girls
Show your work and justify this answer.
400
Mya White's store sign indicates that bananas are 8 for $2.00, and a sign by the oranges indicate that they are 5 for $2.50. Find the unit prices and the total cost of buying 2 bananas and 2 oranges.
$0.50 for bananas + $1.00 for oranges = $1.50 total
$0.25/banana and $0.50/orange
Show your work and justify your answer
400
The scale of a map is 1 inch: 1/2 mile. If I went 10 inches on the map, how many miles did I go on the Old Town Road?
5 miles.
Show your work and justify your answer.
400
If 50% of ASU goes to MBA, then how many students are at ASU in total if 4 people go to MBA?
A. 4 students
B. 8 students
C. 10 students
D. 12 students
B. 8 students
Show your work and justify your answer.
400
Where did Mr. Pryor go to college?
Duke!
500
Write a ratio for the following description: Kara made five times as many baskets as Zoe during basketball practice.
Kara to Zoe
5 to 1 OR 5 / 1 OR 5:1
10 to 2 OR 10 / 2 OR 10:2
15 to 3 OR 15 / 3 OR 15:3
20 to 4 OR 20 / 4 OR 20:4
Show your work and justify this answer.
500
Gregory is offered 3 books for $6 OR 5 books for $10. How many books can Gregory you can buy with $50?
A. 25 books
B. 10 books
C. 5 books
D. 20 books
A. 25 books
Show your work and justify your answer.
500
The scale of a map is 1 inch: 1/2 mile. If I went 3 1/2 miles on the Old Town Road, how many inches would that be on the map?
7 inches.
Show your work and justify your answer.
500
If 20% of ASU goes to MBA, then how many students are at ASU in total if 5 people go to MBA?
A. 5 students
B. 10 students
C. 15 students
D. 25 students
D. 25 students
Show your work and justify your answer.
500
Where did Mr. Smith go to college?
BYU.
