APCAT APCAT - Alberta Police Cognitive Ability Numerical Reasoning and Math Skills 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?

Accepted Answer

60 minutes

Answer

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?

Accepted Answer

10

Answer

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?

Accepted Answer

200

Answer

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?

Accepted Answer

60 mph

Answer

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?

Accepted Answer

12

Answer

$84,000 ÷ $7,000 per month = 12 months.

APCAT - Alberta Police Cognitive Ability Test Practice Test