Frontline National Test Mathematical Reasoning 1 — Questions and Answers
Question 1: An officer responded to 12 calls in the first half of the shift and 9 calls in the second half. What is the total number of calls responded to during the shift?
- 19
- 21 (Correct answer)
- 23
- 18
Correct answer: 21
12 + 9 = 21 total calls responded to during the shift.
Question 2: A police department has 240 officers. If 15% are assigned to the detective division, how many officers are detectives?
- 30
- 36 (Correct answer)
- 40
- 45
Correct answer: 36
15% of 240 = 0.15 × 240 = 36 detectives.
Question 3: An officer drives at 60 miles per hour for 45 minutes. How many miles does the officer travel?
- 40
- 45 (Correct answer)
- 50
- 60
Correct answer: 45
45 minutes = 0.75 hours; 60 mph × 0.75 hr = 45 miles.
Question 4: During a 5-day work week, an officer wrote 3, 5, 4, 2, and 6 tickets on successive days. What is the average number of tickets written per day?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
(3 + 5 + 4 + 2 + 6) / 5 = 20 / 5 = 4 tickets per day.
Question 5: A suspect ran for 3 minutes at 8 miles per hour before being apprehended. How far did the suspect run?
- 0.3 miles
- 0.4 miles (Correct answer)
- 0.5 miles
- 0.6 miles
Correct answer: 0.4 miles
3 minutes = 3/60 hour; 8 mph × (3/60) = 0.4 miles.
Question 6: A police station has a budget of $480,000. If 40% is for personnel and 30% is for equipment, how much is allocated for operations?
- $120,000
- $140,000
- $144,000 (Correct answer)
- $160,000
Correct answer: $144,000
100% - 40% - 30% = 30% for operations; 30% of $480,000 = $144,000.
Question 7: If a police officer works 8 hours a day, 5 days a week, how many hours does the officer work in a standard 4-week month?
- 140
- 160 (Correct answer)
- 180
- 200
Correct answer: 160
8 hours × 5 days × 4 weeks = 160 hours per month.
Frontline National Test Mathematical Reasoning 1
An officer responded to 12 calls in the first half of the shift and 9 calls in the second half.
What is the total number of calls responded to during the shift?