LAPD Mathematical Reasoning and Problem Solving 1 — Questions and Answers
Question 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?
- 8
- 9
- 10 (Correct answer)
- 12
Correct answer: 10
25% of 8 is 2, so 8 + 2 = 10 calls on the second shift.
Question 2: A patrol car travels 60 miles per hour. How far will it travel in 45 minutes?
- 30 miles
- 40 miles
- 45 miles (Correct answer)
- 55 miles
Correct answer: 45 miles
45 minutes is 3/4 of an hour, and 60 × 0.75 = 45 miles.
Question 3: A police precinct has 120 officers. If 15% are assigned to detective duties, how many officers are on patrol?
- 18
- 96
- 102 (Correct answer)
- 108
Correct answer: 102
15% of 120 = 18 detectives; 120 − 18 = 102 patrol officers.
Question 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?
- 18
- 24
- 30 (Correct answer)
- 36
Correct answer: 30
Combined rate is 10 tickets/hour; 10 × 3 = 30 tickets total.
Question 5: Evidence collected at a scene weighs 3 pounds 8 ounces. A second item weighs 1 pound 12 ounces. What is the combined weight?
- 4 lbs 4 oz
- 5 lbs 4 oz (Correct answer)
- 5 lbs 8 oz
- 4 lbs 12 oz
Correct answer: 5 lbs 4 oz
8 oz + 12 oz = 20 oz = 1 lb 4 oz; 3 + 1 + 1 = 5 lbs and 4 oz remaining.
Question 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?
- 70%
- 75%
- 80% (Correct answer)
- 85%
Correct answer: 80%
Each division gets $240,000 ÷ 6 = $40,000; $32,000 ÷ $40,000 = 0.80 = 80%.
Question 7: Officers must complete 40 hours of training per year. Officer Davis has completed 28 hours. What fraction of his training remains?
- 1/3
- 3/10 (Correct answer)
- 7/20
- 9/20
Correct answer: 3/10
Remaining = 40 − 28 = 12 hours; 12/40 = 3/10.
LAPD Mathematical Reasoning and Problem Solving 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?