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Mathematical Reasoning and Problem Solving Flashcards

7 cards from real LAPD practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical Reasoning and Problem Solving flashcards as text

  1. An officer responds to 8 calls during an 8-hour shift. The next shift she responds to 25% more calls. How many calls did she respond to on the second shift?

    Answer: 10

    25% of 8 is 2, so 8 + 2 = 10 calls on the second shift.

  2. A patrol car travels 60 miles per hour. How far will it travel in 45 minutes?

    Answer: 45 miles

    45 minutes is 3/4 of an hour, and 60 × 0.75 = 45 miles.

  3. A police precinct has 120 officers. If 15% are assigned to detective duties, how many officers are on patrol?

    Answer: 102

    15% of 120 = 18 detectives; 120 − 18 = 102 patrol officers.

  4. An officer writes 4 parking tickets per hour. Her partner writes 6 per hour. Working together for 3 hours, how many tickets do they write in total?

    Answer: 30

    Combined rate is 10 tickets/hour; 10 × 3 = 30 tickets total.

  5. Evidence collected at a scene weighs 3 pounds 8 ounces. A second item weighs 1 pound 12 ounces. What is the combined weight?

    Answer: 5 lbs 4 oz

    8 oz + 12 oz = 20 oz = 1 lb 4 oz; 3 + 1 + 1 = 5 lbs and 4 oz remaining.

  6. A department budget of $240,000 is divided equally among 6 divisions. One division spends $32,000. What percentage of its allocation did that division spend?

    Answer: 80%

    Each division gets $240,000 ÷ 6 = $40,000; $32,000 ÷ $40,000 = 0.80 = 80%.

  7. Officers must complete 40 hours of training per year. Officer Davis has completed 28 hours. What fraction of his training remains?

    Answer: 3/10

    Remaining = 40 − 28 = 12 hours; 12/40 = 3/10.