Police Math Unit Conversion Problems Questions and Answers 1 — Questions and Answers
Question 1: An officer recovers a small bag containing 140 grams of a suspicious substance. To include the weight in a report for a federal agency that uses the imperial system, the officer must convert the weight to ounces. What is the approximate weight in ounces? (Use 1 ounce ≈ 28 grams)
- 3.5 ounces
- 4.0 ounces
- 5.0 ounces (Correct answer)
- 7.5 ounces
Correct answer: 5.0 ounces
To convert grams to ounces, divide the number of grams by the conversion factor. 140 grams / 28 grams per ounce = 5.0 ounces.
Question 2: A crime scene investigator determines that a rectangular evidence storage unit measures 4 yards in length and 2 yards in width. What is the total area of the storage unit in SQUARE FEET?
- 18 square feet
- 24 square feet
- 8 square feet
- 72 square feet (Correct answer)
Correct answer: 72 square feet
First, convert the dimensions from yards to feet. Since 1 yard = 3 feet, the length is 4 yards * 3 = 12 feet, and the width is 2 yards * 3 = 6 feet. Then, calculate the area by multiplying length by width: 12 feet * 6 feet = 72 square feet.
Question 3: An officer is assigned to a foot patrol route that is 2.5 miles long. If the officer must document the route's length in feet for a training manual, what is the correct distance? (1 mile = 5,280 feet)
- 10,560 feet
- 13,200 feet (Correct answer)
- 7,920 feet
- 2,112 feet
Correct answer: 13,200 feet
To convert miles to feet, multiply the number of miles by the conversion factor. 2.5 miles * 5,280 feet per mile = 13,200 feet.
Question 4: A police department is purchasing new patrol vehicles with fuel tanks that have a 16-gallon capacity. For an internal fleet comparison report using metric units, this capacity needs to be stated in liters. What is the tank capacity in liters? (Use 1 gallon ≈ 3.8 liters)
- 60.8 liters (Correct answer)
- 4.2 liters
- 50.8 liters
- 68.4 liters
Correct answer: 60.8 liters
To find the total capacity in liters, multiply the number of gallons by the conversion factor. 16 gallons * 3.8 liters per gallon = 60.8 liters.
Question 5: An officer's body camera recorded for a total of 4 hours and 15 minutes during a shift. How many total seconds of footage were recorded?
- 255 seconds
- 9,900 seconds
- 14,400 seconds
- 15,300 seconds (Correct answer)
Correct answer: 15,300 seconds
First, convert the hours to seconds: 4 hours * 60 minutes/hour * 60 seconds/minute = 14,400 seconds. Next, convert the remaining minutes to seconds: 15 minutes * 60 seconds/minute = 900 seconds. Finally, add the two values together: 14,400 + 900 = 15,300 seconds.
Question 6: For a crime scene diagram, an officer measures the distance between two shell casings as 5 feet and 4 inches. The reporting software requires the entire measurement to be in inches. What is the total distance in inches?
- 54 inches
- 64 inches (Correct answer)
- 59 inches
- 17 inches
Correct answer: 64 inches
First, convert the feet to inches by multiplying by 12 (since there are 12 inches in a foot): 5 feet * 12 inches/foot = 60 inches. Then, add the remaining 4 inches: 60 inches + 4 inches = 64 inches.
An officer recovers a small bag containing 140 grams of a suspicious substance.
To include the weight in a report for a federal agency that uses the imperial system, the officer must convert the weight to ounces.
What is the approximate weight in ounces? (Use 1 ounce ≈ 28 grams)