Rates & Ratios — Quiz 1

Questions in this quiz (13)

1. If Jordan ran 15 laps around a circular track with a radius of 150 meters in 45 minutes, what was his average speed in kilometers per hour?

   • 10
   • 18.84
   • 15.50
   • 14.14

2. If there are 12 inches in a foot, how many feet are in 60 inches?

   • 8
   • 7
   • 10
   • 5

3. If the ratio of $$a : b$$ is $$5 : 3$$, which of the following could be the value of $$a + b$$?

   • 7
   • 16
   • 25
   • 33

4. $$Z$$ varies directly with W. When $$W = 6$$, $$Z = 18$$. What is the value of $$Z$$ when $$W$$ increases to $$10$$?

   • 12
   • 30
   • 15
   • 48

5. A varies inversely with B. When B = 4, A = 30. What is the value of A when B increases to 6?

   • 20
   • 45
   • 35
   • 40

6. Emily has run 12 miles in 6 training sessions. At this rate, how many miles should she expect to run after 10 training sessions?

   • 8
   • 20
   • 15
   • 30

7. The number of books read by Alice, Ben, and Carol is in the ratio of 4:3:2. If each person read only whole books, what is the total number of books they could have read?

   • 35
   • 36
   • 37
   • 38

8. A rectangular park in San Francisco is approximately 3 miles long and 0.8 miles wide. Based on this information, how many square kilometers, to the nearest hundredth of a square kilometer, is the area of the park, given that there are approximately 1.61 kilometers in 1 mile?

   • 1.61
   • 4.83
   • 6.22
   • 3

9. A rotating security camera completes a full 360-degree sweep every 30 seconds. How many degrees does the camera rotate in 5 seconds?

   • 12
   • 60
   • 30
   • 35

10. If a car travels 18 miles in 12 minutes, what is the speed of the car in miles per hour?

    • 18
    • 90
    • 1.5
    • 5

11. A train passes through Station A at 2:10 p.m. and reaches Station B, which is 90 miles away, at 2:25 p.m. Find the speed of the train in miles per hour.

    • 180
    • 250
    • 270
    • 360

12. If $$a = \frac{3}{5}b$$ and $$b = \frac{4}{7}c$$, what is the ratio of $$c$$ to $$a$$?

    • $$\frac{12}{35}$$
    • $$\frac{3}{5}$$
    • $$\frac{35}{12}$$
    • $$\frac{4}{7}$$

13. Suppose the variables $$a$$ and $$b$$ vary inversely.If $$a = 10$$ and $$b = 3$$, find $$b$$ when $$a = 6$$.

    • 8
    • 5
    • 4
    • 3.5