SAT Math · Problem-Solving and Data Analysis

Ratios, rates, proportional relationships, and units practice questions

Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.

  1. Question 48 · mediumA car travels 120 miles in 2 hours, then travels an additional 180 miles in 3 hours. What is the car's average speed for the…
  2. Question 49 · mediumWorking at the same rate, 4 workers can paint a fence in 10 hours. How many hours would it take 8 workers, working at that same…
  3. Question 50 · easyA physicist wants to compute the density of an object, defined as mass divided by volume. Which expression could represent a…
  4. Question 119 · easyA water pump moves water at a rate of 15 gallons per minute. At this rate, how many gallons does the pump move in one hour?
  5. Question 120 · easyOn a map, the scale is 1 inch represents 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance…
  6. Question 121 · easyThe variable y varies directly with x. When x=6, y=18. What is the value of y when x=15?
  7. Question 137 · mediumCar A travels 250 miles using 10 gallons of gas. Car B travels 300 miles using 15 gallons of gas. Which car has the better fuel…
  8. Question 138 · easyA metal sample has a density of 8 grams per cubic centimeter. What is the mass, in grams, of a 25 cubic centimeter sample of…
  9. Question 139 · mediumA recipe for 4 servings requires 2 cups of flour. If the recipe is first scaled to make 10 servings, and then that amount is…
  10. Question 140 · mediumStore A sells a 12-ounce bottle of juice for $3.60. Store B sells a 20-ounce bottle of the same juice for $5.60. Which store…
  11. Question 165 · mediumA runner moves at a constant speed of 15 miles per hour. What is this speed in feet per second? (1 mile = 5,280 feet)

Lessons on this skill

Related skills