SAT OwlQuestion bank / Problem-Solving and Data Analysis
SAT Ratios, rates, proportional relationships, and units practice questions
Ratios, rates, proportional relationships, and units is one of the skills tested in the Problem-Solving and Data Analysis domain of the Digital SAT Math section. Below are 14 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
A bakery's bread recipe uses flour and sugar in a ratio of 3 cups of flour to 2 cups of sugar. If a baker uses 12 cups oEasyQuestion 2
An office printer prints 45 pages in 3 minutes. At this rate, how many pages will the printer print in 20 minutes?EasyQuestion 3
A car travels 270 miles in 4.5 hours. What is the car's average speed, in miles per hour?EasyQuestion 4
On a map, 1 inch represents 25 miles. Two towns are 3.4 inches apart on the map. What is the actual distance, in miles, EasyQuestion 5
A swimming pool is being filled with water at a constant rate of 15 gallons per minute. How many hours will it take to aEasyQuestion 6
On a certain day, 1 euro was worth 1.08 U.S. dollars, and 1 U.S. dollar was worth 155 Japanese yen. At these rates, how EasyQuestion 7
A cyclist rides at a constant speed of 18 kilometers per hour. How many kilometers does the cyclist travel in 40 minutesEasyQuestion 8
A car travels 32 miles per gallon of gasoline, and gasoline costs 3.60 per gallon. To the nearest cent, what is the costMediumQuestion 9
A muffin recipe uses 23 cup of oil to make 8 muffins. At this rate, how many cups of oil are needed to make 30 muffins?MediumQuestion 10
A 24-ounce jar of peanut butter costs 4.80, and a 32-ounce jar of the same peanut butter costs 5.76. How many cents lessMediumQuestion 11
A doctor orders a medication dose of 15 milligrams per kilogram of body weight. The medication is available as a liquid MediumQuestion 12
Gear A, which has 48 teeth, meshes with gear B, which has 18 teeth, so that each tooth of gear A that passes the contactHardQuestion 13
A solid metal cube has a mass of 1,728 grams. The metal has a density of 8 grams per cubic centimeter. What is the edge HardQuestion 14
County A has an area of 1,240 square miles and a population density of 85 people per square mile. County B has an area oHard
A bakery's bread recipe uses flour and sugar in a ratio of 3 cups of flour to 2 cups of sugar. If a baker uses 12 cups oEasyQuestion 2
An office printer prints 45 pages in 3 minutes. At this rate, how many pages will the printer print in 20 minutes?EasyQuestion 3
A car travels 270 miles in 4.5 hours. What is the car's average speed, in miles per hour?EasyQuestion 4
On a map, 1 inch represents 25 miles. Two towns are 3.4 inches apart on the map. What is the actual distance, in miles, EasyQuestion 5
A swimming pool is being filled with water at a constant rate of 15 gallons per minute. How many hours will it take to aEasyQuestion 6
On a certain day, 1 euro was worth 1.08 U.S. dollars, and 1 U.S. dollar was worth 155 Japanese yen. At these rates, how EasyQuestion 7
A cyclist rides at a constant speed of 18 kilometers per hour. How many kilometers does the cyclist travel in 40 minutesEasyQuestion 8
A car travels 32 miles per gallon of gasoline, and gasoline costs 3.60 per gallon. To the nearest cent, what is the costMediumQuestion 9
A muffin recipe uses 23 cup of oil to make 8 muffins. At this rate, how many cups of oil are needed to make 30 muffins?MediumQuestion 10
A 24-ounce jar of peanut butter costs 4.80, and a 32-ounce jar of the same peanut butter costs 5.76. How many cents lessMediumQuestion 11
A doctor orders a medication dose of 15 milligrams per kilogram of body weight. The medication is available as a liquid MediumQuestion 12
Gear A, which has 48 teeth, meshes with gear B, which has 18 teeth, so that each tooth of gear A that passes the contactHardQuestion 13
A solid metal cube has a mass of 1,728 grams. The metal has a density of 8 grams per cubic centimeter. What is the edge HardQuestion 14
County A has an area of 1,240 square miles and a population density of 85 people per square mile. County B has an area oHard