Ratios and rates (ratio tables, unit rate) Knowledge-Based Download PDF

Questions

1. 1.

   A baker uses 1.25 pounds of dough to make 10 dinner rolls. At this rate, what is the unit rate in rolls per pound of dough?

   • A) 8
   • B) 0.125
   • C) 12.5
   • D) 80
2. 2.

   In a ratio table relating two quantities, $x$ and $y$, the unit rate of $y$ with respect to $x$ is $\frac{3}{4}$. What is the value of $x$ when $y = 48$?

   • A) 36
   • B) 52
   • C) 60
   • D) 64
3. 3.

   Car A travels 192 miles on 6 gallons of gasoline, and Car B travels 210 miles on 7 gallons of gasoline, both operating at constant rates. How many more miles can Car A travel than Car B using 15 gallons of gasoline?

   • A) 15 miles
   • B) 18 miles
   • C) 24 miles
   • D) 30 miles
4. 4.

   Printer A prints 75 pages in 3 minutes, and Printer B prints 110 pages in 5 minutes, each operating at a constant rate. Working simultaneously at these rates, how many total pages can both printers print in 4 minutes?

   • A) 164
   • B) 185
   • C) 188
   • D) 196
5. 5.

   In a ratio table relating two quantities, $x$ and $y$, the value of $y$ is 21 when $x$ is 6. If the value of $x$ increases by 8, by how much does the value of $y$ increase?

   • A) 28
   • B) 49
   • C) 8
   • D) 20
6. 6.

   Machine A produces 14 parts in 4 minutes, and Machine B produces 27 parts in 6 minutes, each operating at a constant rate. What is the ratio of Machine A's unit rate of production to Machine B's unit rate of production, expressed in simplest form?

   • A) 2 to 3
   • B) 9 to 7
   • C) 7 to 9
   • D) 14 to 27
7. 7.

   In a ratio table relating two quantities $x$ and $y$, the unit rate of $y$ with respect to $x$ is $2.5$. If $x + y = 84$ for a pair of values in this table, what is the value of $x$?

   • A) 24
   • B) 33.6
   • C) 42
   • D) 60
8. 8.

   A painter mixes yellow paint and blue paint in a constant ratio of 3 to 5 to make green paint. If the painter needs to prepare a total of 72 fluid ounces of green paint, how many fluid ounces of yellow paint are required?

   • A) 45 fluid ounces
   • B) 43.2 fluid ounces
   • C) 24 fluid ounces
   • D) 27 fluid ounces
9. 9.

   A water tap drips at a constant rate of 18 milliliters every 5 minutes. At this rate, how many hours will it take for the tap to drip 540 milliliters of water?

   • A) 30 hours
   • B) 6 hours
   • C) 1.5 hours
   • D) 2.5 hours
10. 10.

    A ratio table contains the equivalent pairs $(8, 12)$, $(14, y)$, and $(x, 33)$. What is the value of $x + y$?

    • A) 47
    • B) 43
    • C) 35
    • D) 21
11. 11.

    Which of the following sets of pairs $(x, y)$ forms a valid ratio table with a constant unit rate?

    • A) $(2, 6), (4, 10), (6, 14)$
    • B) $(4, 8), (7, 11), (10, 14)$
    • C) $(2, 9), (5, 15), (8, 21)$
    • D) $(3, 12), (5, 20), (8, 32)$
12. 12.

    An athlete runs 400 meters in 80 seconds at a constant pace. What is the athlete's unit rate in seconds per meter?

    • A) 5 seconds per meter
    • B) 2 seconds per meter
    • C) 0.2 seconds per meter
    • D) 0.02 seconds per meter
13. 13.

    A ratio table relates the number of hours a lawnmower runs to the amount of gasoline it consumes, recording that 8 hours of operation require 6 liters of gasoline. Which pair of values represents another equivalent entry in this table?

    • A) 12 hours and 9 liters
    • B) 10 hours and 8 liters
    • C) 16 hours and 14 liters
    • D) 14 hours and 12 liters
14. 14.

    A machine operates at a constant rate, with a ratio table recording (4, 14), (6, 21), and (10, 35) as the number of hours worked and the number of parts produced, respectively. What is the unit rate in parts produced per hour?

    • A) 0.29
    • B) 2.5
    • C) 7.0
    • D) 3.5
15. 15.

    A bakery recipe uses $\frac{3}{4}$ cup of sugar for every $2\frac{1}{2}$ cups of flour. How many cups of sugar are used per cup of flour?

    • A) $\frac{3}{8}$
    • B) $\frac{15}{8}$
    • C) $\frac{3}{10}$
    • D) $\frac{10}{3}$
16. 16.

    A cyclist rides at a constant speed and covers 18 kilometers in 45 minutes. What is the cyclist's unit rate of speed in kilometers per hour?

    • A) 24 kilometers per hour
    • B) 27 kilometers per hour
    • C) 22.5 kilometers per hour
    • D) 13.5 kilometers per hour
17. 17.

    A 12-ounce box of cereal costs $3.60, and an 18-ounce box of the same cereal costs$4.50. How much less, in dollars per ounce, is the unit price of the 18-ounce box than the 12-ounce box?

    • A) $0.15
    • B) $0.10
    • C) $0.05
    • D) $0.02
18. 18.

    A factory machine packages 240 boxes in 8 minutes at a constant rate. At this same rate, how many boxes will the machine package in 14 minutes?

    • A) 420 boxes
    • B) 390 boxes
    • C) 360 boxes
    • D) 336 boxes