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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. During a 12-hour shift, Officer Reyes spent 3 hours on traffic stops, 2.5 hours on report writing, and 4 hours on patrol. What percentage of the shift was spent on patrol?

    Answer: 331/3%

    4 hours ÷ 12 hours = 1/3 = 33.33%, which is 33⅓%.

  2. An impound lot stores 15 vehicles in a row. Each vehicle takes up 8 feet of space with 2 feet between vehicles. What is the minimum length needed for one row?

    Answer: 148 feet

    15 vehicles × 8 ft = 120 ft; 14 gaps × 2 ft = 28 ft; 120 + 28 = 148 ft.

  3. A suspect's age is described as between 35 and 45. The average age of four witnesses is 28. What is the minimum possible combined age of the suspect and the four witnesses?

    Answer: 147

    Minimum suspect age = 35; average witness age of 28 × 4 = 112; 35 + 112 = 147.

  4. An LAPD officer's overtime rate is 1.5 times her regular hourly rate of $34 per hour. How much does she earn for 6 hours of overtime?

    Answer: $306

    Overtime rate = $34 × 1.5 = $51/hr; $51 × 6 = $306.

  5. A map of Los Angeles uses a scale of 1 cm = 2.5 km. Two police stations are 7 cm apart on the map. What is the actual distance between them?

    Answer: 17.5 km

    7 cm × 2.5 km/cm = 17.5 km.

  6. A 24-hour dispatch center receives an average of 144 calls per day. What is the average number of calls per hour?

    Answer: 6

    144 calls ÷ 24 hours = 6 calls per hour.

  7. A department orders 48 sets of body armor. Each set costs $850 and there is a 10% bulk discount applied to the total. What is the final cost?

    Answer: $36,720

    Total before discount: 48 × $850 = $40,800; 10% discount = $4,080; $40,800 − $4,080 = $36,720.