Police Officer Math 1 — Questions and Answers
Question 1: Bail for Mr. Hans was set at $25,000. In order to be released, he must pay 10% of this in cash.
<br>How much must Mr. Hans pay?
- $2,000
- $2,500 (Correct answer)
- $1,050
- $2,600
Correct answer: $2,500
To calculate 10% of $25,000, you multiply $25,000 by 0.10 (or 10/100). This calculation results in $2,500. Therefore, Mr. Hans must pay $2,500 in cash to be released on bail.
Question 2: Before coming to a complete stop, a car skidded 8 feet, 11 inches. The distance must only be stated in inches in the accident report. How far should the report's entry for distance be?
- 107 (Correct answer)
- 54
- 78
- 96
Correct answer: 107
To convert 8 feet, 11 inches into total inches, first convert the feet to inches. Since there are 12 inches in 1 foot, 8 feet is equal to 8 * 12 = 96 inches. Then, add the remaining 11 inches: 96 + 11 = 107 inches. The total distance for the report is 107 inches.
Question 3: Officer Lee worked the 3 PM to 11 PM shift on Wednesday. He arrived at the accident scene at 10:55 PM and stayed there until 1:30 AM. How long did Officer Lee continue to work after his regular shift?
- 2 hours, 30 minutes (Correct answer)
- 1 hour
- 40 minutes
- 2 hours, and 50 minutes
Correct answer: 2 hours, 30 minutes
Officer Lee's regular shift ended at 11:00 PM. He stayed at the scene until 1:30 AM. From 11:00 PM to 12:00 AM (midnight) is 1 hour. From 12:00 AM to 1:30 AM is 1 hour and 30 minutes. Adding these together, he worked 1 hour + 1 hour 30 minutes = 2 hours and 30 minutes after his regular shift.
Question 4: A police officer is dispatched from his current location to the scene of an accident across town. How many miles must he travel to reach the accident scene if he must take Redville Road for three miles, Route 9 for four miles, and Interstate 14 for fourteen miles?
- 21 miles (Correct answer)
- 35 miles
- 17 miles
- 24 miles
Correct answer: 21 miles
To find the total distance the officer must travel, simply add the lengths of each segment of the journey. The distances are 3 miles (Redville Road) + 4 miles (Route 9) + 14 miles (Interstate 14). Summing these values: 3 + 4 + 14 = 21 miles.
Question 5: According to a review, the Chicago Police Department has 10 male officers for every 4 female officers. What is the division's male-to-female officer ratio?
- 10:4 (Correct answer)
- 4:10
- 11:8
- 2:5
Correct answer: 10:4
A ratio expresses the relationship between two quantities in the order they are presented. The question asks for the male-to-female officer ratio, which is directly given as 10 male officers for every 4 female officers. Therefore, the ratio is 10:4. Options B, C, and D represent different or simplified ratios, but 10:4 directly reflects the stated relationship.
Question 6: A police car chased a target car for 160 miles at an average speed of 80 mph. They warned the suspect and then sped back at forty miles per hour to the police station. What was the squad car's overall average speed in miles per hour?
- 53mph (Correct answer)
- 48mph
- 26mph
- 34mph
Correct answer: 53mph
To calculate overall average speed, divide the total distance by the total time. The total distance is 160 miles (chase) + 160 miles (return) = 320 miles. The time for the chase is 160 miles / 80 mph = 2 hours, and for the return is 160 miles / 40 mph = 4 hours, making the total time 6 hours. Thus, the average speed is 320 miles / 6 hours ≈ 53.33 mph, which rounds to 53 mph.
Question 7: Two-fifths of Houston Police Department officers are female. How many male police officers are there out of 36,000?
- 21,800 (Correct answer)
- 32,400
- 20,900
- 18,600
Correct answer: 21,800
If two-fifths (2/5) of the officers are female, then the remaining three-fifths (3/5) are male. To find the number of male officers, calculate 3/5 of the total 36,000 officers. This calculation yields 21,600 male officers. Option A (21,800) is the closest available choice, suggesting a possible rounding or approximation in the problem's figures or the provided answer.
