Ratios & Relationships
Write the ratio of 6 cats to 3 dogs in simplest form.
2:1
Fill in the missing value: 2/3 = 4/__
6
What is the unit rate if a car travels 120 miles in 3 hours?
40 miles per hour
What percent is 25 out of 100?
25 %
Convert 3 feet to inches.
36 inches
In a class of 20 students, 8 are boys. What is the ratio of girls to total students?
12:20 → Simplified = 3:5
If 3 apples cost $1.50, how much do 9 apples cost?
$4.50
A student types 180 words in 3 minutes. What is the typing speed in words per minute?
60 wpm
What is 50% of 60?
30
Convert 5 yards to feet
15 feet
There are 15 red marbles and 10 blue marbles. What is the ratio of blue marbles to all marbles?
10:25 → Simplified = 2:5
Complete the table of equivalent ratios:
| Hours | 1 | 2 | 3 | 4 |
| Miles | 60 | ___ | 180 | ___ |
120, 240
5 pounds of oranges cost $7.50. What is the cost per pound?
$1.50 per pound
12 is 30% of what number?
40
A string measures 72 inches. How many feet long is it?
6
A dance team has 12 majorettes and 8 flag girls. Write three equivalent ratios comparing majorettes to flag girls.
12:8 = 6:4 = 3:2
4 shirts cost $36. How much will 10 shirts cost?
$90
A plane travels 2,640 km in 4 hours. What is its average speed?
660 km/hour
A store has a 25% off sale on a $48 jacket. What is the new price?
$36
Convert 2 kilometers to meters.
2,000 meters
In a fundraiser, every 3 boxes of popcorn sold earns $12 for the team. Write the ratio of boxes to dollars and describe what it means in context.
3:12 or 1:4 — for every 1 box sold, $4 is earned.
If a map scale is 1 inch = 20 miles, how far is it between two cities that are 3.5 inches apart on the map?
70 miles
A runner completes 8 laps (3,200 meters) in 12 minutes. What is the runner’s average rate in meters per minute and meters per second?
266.7 meters/minute; ≈ 4.4 meters/second
A student answered 42 questions correctly out of 56 on a quiz. What percent did they get correct?
75%
A swimmer completed a 1,500-meter race. How many kilometers did they swim?
1.5 kilometers