Police Math Test Police Math Ratios and Proportions 2 — Questions and Answers
Question 1: A patrol sector has 3 officers for every 2 patrol cars. If 18 officers are on duty, how many patrol cars are available?
- 10
- 12 (Correct answer)
- 9
- 15
Correct answer: 12
18 officers ÷ 3 = 6 groups, and 6 × 2 cars = 12 cars.
Question 2: A map uses a scale of 1 inch to 5 miles. Two crime scenes are 3.5 inches apart on the map. What is the real distance?
- 15 miles
- 17.5 miles (Correct answer)
- 20 miles
- 12.5 miles
Correct answer: 17.5 miles
3.5 inches × 5 miles per inch = 17.5 miles.
Question 3: Evidence bags and case files are kept in a ratio of 5 to 4. If there are 45 evidence bags, how many case files are there?
- 36 (Correct answer)
- 40
- 32
- 54
Correct answer: 36
45 ÷ 5 = 9, and 9 × 4 = 36 case files.
Question 4: A speed-radar sample shows 7 speeders for every 28 vehicles checked. What is this ratio in simplest form?
- 1 to 4 (Correct answer)
- 1 to 3
- 2 to 7
- 1 to 5
Correct answer: 1 to 4
Dividing both 7 and 28 by 7 gives 1 to 4.
Question 5: If 4 squad cars use 60 gallons of fuel per shift, how much fuel do 6 squad cars use at the same rate?
- 80 gallons
- 90 gallons (Correct answer)
- 100 gallons
- 75 gallons
Correct answer: 90 gallons
60 ÷ 4 = 15 gallons each, and 15 × 6 = 90 gallons.
Question 6: A department's officer-to-citizen ratio is 1 to 500. For a town of 12,000 citizens, how many officers are needed?
- 20
- 24 (Correct answer)
- 30
- 18
Correct answer: 24
12,000 ÷ 500 = 24 officers.
Question 7: During training, recruits pass and fail in a ratio of 8 to 3. If 33 recruits failed, how many passed?
- 88 (Correct answer)
- 66
- 99
- 77
Correct answer: 88
33 ÷ 3 = 11, and 11 × 8 = 88 recruits passed.
Police Math Test Police Math Ratios and Proportions 2
A patrol sector has 3 officers for every 2 patrol cars.
If 18 officers are on duty, how many patrol cars are available?