Mathematics and Arithmetic Flashcards
6 cards from real NTN practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Mathematics and Arithmetic flashcards as text
A suspect fled on foot at 8 mph. An officer began pursuit 5 minutes later at 12 mph. How many minutes will it take the officer to catch the suspect?
Answer: 10 minutes
The suspect's 5-minute head start at 8 mph = 0.667 miles; closing speed is 4 mph; 0.667 ÷ 4 = ~10 minutes.
An officer writes 3 reports per day, 5 days a week. How many reports does the officer write in a 30-day month (assuming 5-day work weeks)?
Answer: 66 reports
30 days ÷ 7 × 5 ≈ 21.4 workdays ≈ 22 days × 3 = 66 reports.
A department budget of $500,000 allocates 40% to salaries, 30% to equipment, and the rest to operations. How much goes to operations?
Answer: $150,000
100% − 40% − 30% = 30%; 30% of $500,000 = $150,000.
If 3 officers can search 9 rooms in 90 minutes, how long would it take 1 officer to search 9 rooms?
Answer: 270 minutes
3 officers take 90 min, so 1 officer takes 3 × 90 = 270 minutes.
A recruit class started with 45 cadets. After training, 80% graduated. How many cadets graduated?
Answer: 36 cadets
80% of 45 = 0.80 × 45 = 36 cadets.
An evidence locker contains 72 items. If 1/4 of the items are released following case closures, how many items remain?
Answer: 54 items
72 × 1/4 = 18 released; 72 − 18 = 54 items remain.