APCAT APCAT - Alberta Police Cognitive Ability Numerical Reasoning and Math Skills Questions and Answers 1 — Questions and Answers
Question 1: An officer patrols a 12-mile route. If she completes 3/4 of the route in 45 minutes, how long will the entire route take at the same pace?
- 50 minutes
- 55 minutes
- 60 minutes (Correct answer)
- 75 minutes
Correct answer: 60 minutes
45 minutes covers 3/4 of the route, so the full route takes 45 ÷ 0.75 = 60 minutes.
Question 2: A police department receives 240 emergency calls in a 24-hour period. What is the average number of calls per hour?
- 8
- 10 (Correct answer)
- 12
- 15
Correct answer: 10
240 calls ÷ 24 hours = 10 calls per hour.
Question 3: Evidence storage holds 500 items. If 35% are from this year and 25% are from last year, how many items are from two or more years ago?
- 150
- 175
- 200 (Correct answer)
- 225
Correct answer: 200
35% + 25% = 60% are from the past two years, so 40% of 500 = 200 items are older.
Question 4: A suspect drove 180 miles in 3 hours. What was the average speed in miles per hour?
- 45 mph
- 50 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 5: If a police unit has a budget of $84,000 and spends $7,000 per month, how many months until the budget runs out?
- 10
- 11
- 12 (Correct answer)
- 14
Correct answer: 12
$84,000 ÷ $7,000 per month = 12 months.
Question 6: Officers work 8-hour shifts. If a station needs 24-hour coverage with 3 officers on duty at all times, how many officer-shifts are needed each day?
- 6
- 8
- 9 (Correct answer)
- 12
Correct answer: 9
24 hours ÷ 8 hours per shift = 3 shifts; 3 shifts × 3 officers = 9 officer-shifts per day.
APCAT APCAT - Alberta Police Cognitive Ability Numerical Reasoning and Math Skills Questions and Answers 1
An officer patrols a 12-mile route.
If she completes 3/4 of the route in 45 minutes, how long will the entire route take at the same pace?