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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
  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.