BSEP - Basic Skills Education Program Ratios and Proportions Questions and Answers

Question 1

A military map has a scale of 1:50,000. If the distance between two points on the map is 4.5 centimeters, what is the actual ground distance between the two points in kilometers?

Accepted Answer

2.25 km

Answer

22.5 km

Answer

0.225 km

Answer

225 km

Question 2

A piece of equipment requires a fuel-oil mixture with a ratio of 40:1 (40 parts gasoline to 1 part oil). If a container is filled with 5 gallons of gasoline, how many fluid ounces of oil must be added? (Note: 1 gallon = 128 fluid ounces)

Accepted Answer

16 oz

Answer

12.8 oz

Answer

3.2 oz

Answer

8 oz

Question 3

In a simple gear system, a drive gear with 60 teeth is meshed with a driven gear with 20 teeth. Which of the following correctly expresses the gear ratio of the drive gear to the driven gear?

Accepted Answer

3:1

Answer

1:3

Answer

6:2

Answer

20:60

Question 4

A vertical flagpole casts a shadow 12 feet long. At the same time, a soldier who is 6 feet tall casts a shadow 4 feet long. What is the height of the flagpole?

Accepted Answer

18 feet

Answer

14 feet

Answer

20 feet

Answer

24 feet

Question 5

A maintenance check finds that 5% of the vehicles in a motor pool are not mission-capable. Which of the following represents the ratio of mission-capable vehicles to non-mission-capable vehicles?

Accepted Answer

19:1

Answer

1:20

Answer

20:1

Answer

1:19

Question 6

If 3 soldiers can dig a trench 10 meters long in 2 hours, how long would it take 5 soldiers, working at the same rate, to dig a trench 25 meters long?

Accepted Answer

3 hours

Answer

2.5 hours

Answer

4 hours

Answer

3.5 hours

A military map has a scale of 1:50,000.If the distance between two points on the map is 4.5 centimeters, what is the actual ground distance between the two points in kilometers?

A military map has a scale of 1:50,000.
If the distance between two points on the map is 4.5 centimeters, what is the actual ground distance between the two points in kilometers?