A passenger train traveled miles in hours at a constant speed. What was the train's speed, in miles per hour?
Speed = distance time: miles per hour.
Ratio, rate, and proportion word problems is a grade 7 math skill aligned to Common Core standard 7.RP.A.2: recognize and represent proportional relationships between quantities. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 ratio, rate, and proportion word problems problems our math games drill.
A passenger train traveled miles in hours at a constant speed. What was the train's speed, in miles per hour?
Speed = distance time: miles per hour.
At an animal shelter, the ratio of cats to dogs is to . If there are cats at the shelter, how many dogs are there?
Scale the ratio: cats is groups of , so dogs = .
A cyclist rode kilometers in hours at a constant speed. What was the cyclist's speed, in kilometers per hour?
Speed = kilometers per hour.
A paint mixture uses red and blue paint in a ratio of to . How many ounces of blue paint are needed to mix with ounces of red paint?
Scale the ratio: oz red is groups of , so blue paint = ounces.
A recipe uses cups of flour to make muffins. At this rate, how many cups of flour are needed to make muffins?
Set up a proportion: , so and cups.
A water tank held gallons of water. After leaking at a constant rate for minutes, the tank held gallons. How many gallons of water leaked from the tank each minute?
Water leaked: gallons in minutes. Rate: gallons per minute.
Five identical printing presses can complete a job in hours. Working at the same rate, how many hours would it take of these presses to complete the same job?
Total work is fixed. Time with presses: hours.
On a map, inches represents an actual distance of miles. At this scale, what is the actual distance, in miles, represented by inches on the map?
Scale: miles per inch. For inches: miles.
Questions like these are served inside our head-to-head math games.
The free placement test finds your level, then every match serves ratio, rate, and proportion word problems questions at exactly the right difficulty.