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Lesson 1: Direct Proportion — Practice Questions

  1. 1. A recipe for lemonade calls for 3 lemons to make 5 glasses. How many lemons are needed to make 20 glasses of lemonade? ___ lemons.

  2. 2. A car can travel 120 miles on 4 gallons of gasoline. At this rate, how many gallons are needed to travel 300 miles? ___ gallons.

  3. 3. A factory machine produces 90 toys in 3 hours. Which proportion correctly finds the number of toys, $t$, the machine can produce in 8 hours?

    • A. $\frac{90}{3} = \frac{t}{8}$
    • B. $\frac{90}{3} = \frac{8}{t}$
    • C. $\frac{3}{90} = \frac{t}{8}$
    • D. $\frac{90}{t} = \frac{8}{3}$

  4. 4. If 4 pounds of potatoes cost 6.00 dollars, what is the cost of 10 pounds of potatoes? ___ dollars.

  5. 5. An employee earns 112 dollars for working 8 hours. If the pay rate is constant, how much will the employee earn for working 5 hours? ___ dollars.

  6. 6. A book's thickness is calculated as 6 mm for the covers plus 1 mm for every 25 pages. Is the book's thickness proportional to its number of pages?

    • A. Yes
    • B. No

  7. 7. To make a soft drink, you need 3 ounces of syrup for every 32 ounces of carbonated water. Is the amount of syrup proportional to the amount of carbonated water?

    • A. Yes
    • B. No

  8. 8. Is the perimeter of a square proportional to the length of its side?

    • A. Yes
    • B. No

  9. 9. How can one determine if two variables have a proportional relationship?

    • A. Their ratio is always a constant value.
    • B. Their sum is always a constant value.
    • C. Their product is always a constant value.
    • D. Their difference is always a constant value.

  10. 10. Is the circumference of a circle proportional to its radius?

    • A. Yes
    • B. No