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Ratios, Rates, and Proportions

Math · Problem-Solving and Data Analysis · 57 questions · every one comes with a full explanation.

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  1. 1A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?Easy · Problem-Solving and Data Analysis
  2. 2The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station's average speed in miles per hour?Medium · Problem-Solving and Data Analysis
  3. 3For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k secondEasy · Problem-Solving and Data Analysis
  4. 4The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to 3.3 in 2014. During this time period, the land area of Iceland was 100Medium · Problem-Solving and Data Analysis
  5. 5A customer spent $27 to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?Easy · Problem-Solving and Data Analysis
  6. 6A group of monarch butterflies migrated from Chicago, Illinois, to Michoacán, Mexico, flying a total of 2,100 miles. It took a single butterfly in the group 120 days to travel thisEasy · Problem-Solving and Data Analysis
  7. 7If x y = 4 and 24 x n y = 4 , what is the value of n ?Medium · Problem-Solving and Data Analysis
  8. 8In a box of pens, the ratio of black pens to red pens is 8 to 1 . There are 40 black pens in the box. How many red pens are in the box?Easy · Problem-Solving and Data Analysis
  9. 9Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, Medium · Problem-Solving and Data Analysis
  10. 10The population density of Worthington is 290 people per square mile. Worthington has a population of 92,800 people. What is the area, in square miles, of Worthington?Easy · Problem-Solving and Data Analysis
  11. 11A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete?Easy · Problem-Solving and Data Analysis
  12. 12In the table above, the ratio of y to x for each ordered pair is constant. What is the value of k ?Easy · Problem-Solving and Data Analysis
  13. 13One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factoHard · Problem-Solving and Data Analysis
  14. 14The ratio of t to u is 1 to 2, and . What is the value of u ?Easy · Problem-Solving and Data Analysis
  15. 15A special camera is used for underwater ocean research. When the camera is at a depth of 58 fathoms, what is the camera's depth in feet? 1 fathom=6 feetEasy · Problem-Solving and Data Analysis
  16. 16A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, whaHard · Problem-Solving and Data Analysis
  17. 17On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles Medium · Problem-Solving and Data Analysis
  18. 18How many yards are equivalent to 612 inches? 1 yard=36 inchesEasy · Problem-Solving and Data Analysis
  19. 19Rectangle A has length 15 and width w. Rectangle B has length 20 and the same length-to-width ratio as rectangle A. What is the width of rectangle B in terms of w ?Medium · Problem-Solving and Data Analysis
  20. 20Shaquan has 7 red cards and 28 blue cards. What is the ratio of red cards to blue cards that Shaquan has?Easy · Problem-Solving and Data Analysis
  21. 21Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment accountHard · Problem-Solving and Data Analysis
  22. 22Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if sheMedium · Problem-Solving and Data Analysis
  23. 23A cherry pitting machine pits 12 pounds of cherries in 3 minutes. At this rate, how many minutes does it take the machine to pit 96 pounds of cherries?Easy · Problem-Solving and Data Analysis
  24. 24A kangaroo has a mass of 28 kilograms. What is the kangaroo's mass, in grams? (1 kilogram=1,000 grams)Easy · Problem-Solving and Data Analysis
  25. 25The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1 gallon of water. How many tMedium · Problem-Solving and Data Analysis
  26. 26An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?Easy · Problem-Solving and Data Analysis
  27. 27The table shows the distribution, by location and power capacity (maximum rate of power generation) of the twenty largest wind projects in the United States in 2013. The total poweHard · Problem-Solving and Data Analysis
  28. 28If 4 a b = 6.7 and a b n = 26.8 , what is the value of n ?Hard · Problem-Solving and Data Analysis
  29. 29The weight of an object on Venus is approximately of its weight on Earth. The weight of an object on Jupiter is approximately of its weight on Earth. If an object weighs 100 poundsEasy · Problem-Solving and Data Analysis
  30. 30One of a planet's moons orbits the planet every 252 days. A second moon orbits the planet every 287 days. How many more days does it take the second moon to orbit the planet 29 Medium · Problem-Solving and Data Analysis
  31. 31The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest huHard · Problem-Solving and Data Analysis
  32. 32How many feet are equivalent to 34 yards? 1 yard=3 feetEasy · Problem-Solving and Data Analysis
  33. 33To make a bakery's signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffinEasy · Problem-Solving and Data Analysis
  34. 34Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)Medium · Problem-Solving and Data Analysis
  35. 35A distance of 61 furlongs is equivalent to how many feet? 1 furlong=220 yards and 1 yard=3 feetMedium · Problem-Solving and Data Analysis
  36. 36Food Protein Cost 1 large egg 6 grams $0.36 1 cup of milk 8 grams $0.24 The table above shows the amount of protein in two foods and the cost of each food. Based on tMedium · Problem-Solving and Data Analysis
  37. 37A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? 1 mile=1,760 yardsEasy · Problem-Solving and Data Analysis
  38. 38The population density of Cedar County is 230 people per square mile. The county has a population of 85,100 people. What is the area, in square miles, of Cedar County?Medium · Problem-Solving and Data Analysis
  39. 39What length, in centimeters, is equivalent to a length of 51 meters? 1 meter=100 centimetersEasy · Problem-Solving and Data Analysis
  40. 40A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? 1 mile=1,760 yardsHard · Problem-Solving and Data Analysis
  41. 41A distance of 112 furlongs is equivalent to how many feet? 1 furlong=220 yards and 1 yard=3 feetMedium · Problem-Solving and Data Analysis
  42. 42For the values j and k , the ratio of j to k is 11 to 12 . If j is multiplied by 17 , what is k multiplied by in order to maintain the same ratio?Medium · Problem-Solving and Data Analysis
  43. 43Marta has 7,500 pesos she will convert to US dollars using a currency exchange service. At this time, the currency exchange rate is 1 peso = 0.075 US dollars. The exchange service Easy · Problem-Solving and Data Analysis
  44. 44How many tablespoons are equivalent to 14 teaspoons? 3 teaspoons=1 tablespoonMedium · Problem-Solving and Data Analysis
  45. 45A triathlon is a multisport race consisting of three different legs. A triathlon participant completed the cycling leg with an average speed of 19.700 miles per hour. What was the Medium · Problem-Solving and Data Analysis
  46. 46Tilly earns p dollars for every w hours of work. Which expression represents the amount of money, in dollars, Tilly earns for 39 w hours of work?Easy · Problem-Solving and Data Analysis
  47. 47The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following Medium · Problem-Solving and Data Analysis
  48. 48The equation above can be used to calculate the distance d, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of t hours. For any positive constant kMedium · Problem-Solving and Data Analysis
  49. 49One side of a flat board has an area of 874 square inches. If a pressure of 19 pounds per square inch of area is exerted on this side of the board, what is the total force, in poMedium · Problem-Solving and Data Analysis
  50. 50Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?Easy · Problem-Solving and Data Analysis
  51. 51A competition consisted of four different events. One participant completed the first event with an average speed of 20.300 miles per hour. What was this average speed, in yards peMedium · Problem-Solving and Data Analysis
  52. 52If , which of the following is equivalent to ?Easy · Problem-Solving and Data Analysis
  53. 53Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. She must mix a second batch using the same ratio of blue and yellow paint as thHard · Problem-Solving and Data Analysis
  54. 54A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park? 1 mile=1,760 yardsHard · Problem-Solving and Data Analysis
  55. 55How many teaspoons are equivalent to 44 tablespoons? 3 teaspoons=1 tablespoonEasy · Problem-Solving and Data Analysis
  56. 56For a certain rectangular region, the ratio of its length to its width is 35 to 10 . If the width of the rectangular region increases by 7 units, how must the length change to maMedium · Problem-Solving and Data Analysis
  57. 57The ratio x to y is equivalent to the ratio 12 to t . When x = 156 , what is the value of y in terms of t ?Easy · Problem-Solving and Data Analysis