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Lesson 60: Rate Problems with a Given Total — Practice Questions

  1. 1. A water pump fills a tank at a rate of 25 gallons per minute. If the tank has a capacity of 500 gallons, it will take ___ minutes to fill the tank completely.

  2. 2. Which of the following expressions is equivalent to $5^{-2}$?

    • A. $\frac{1}{25}$
    • B. -25
    • C. -10
    • D. $\frac{1}{10}$
  3. 3. A writer plans to write a 90,000-word novel by writing 3,000 words per day. How many days will it take the writer to finish the novel?

    • A. 30 days
    • B. 270,000,000 days
    • C. 87,000 days
    • D. 300 days
  4. 4. What is the simplified value of the expression $2^{-5}$?

    • A. $\frac{1}{32}$
    • B. -10
    • C. -32
    • D. $\frac{1}{16}$
  5. 5. To find the time it takes to complete a task at a constant rate, you should perform which operation?

    • A. Divide the total amount by the rate.
    • B. Multiply the total amount by the rate.
    • C. Add the rate to the total amount.
    • D. Subtract the rate from the total amount.
  6. 6. A car travels 240 miles in 4 hours. What is the car's average speed in miles per hour? ___ miles per hour

  7. 7. A factory produces 400 toys in 8 hours. Which expression correctly calculates the production rate in toys per hour?

    • A. 400 + 8
    • B. 400 × 8
    • C. 400 ÷ 8
    • D. 8 ÷ 400
  8. 8. If a printer can print at a rate of 25 pages per minute, how many minutes will it take to print a 200-page document? ___ minutes

  9. 9. Maria read a 165-page book in 3 days, reading the same number of pages each day. What was her reading rate in pages per day? ___ pages per day

  10. 10. To find the time it takes to complete a task, you should divide the total amount by the rate. Is this statement true or false?

    • A. True
    • B. False