APCAT - Alberta Police Cognitive Ability Numerical Reasoning and Math Skills Questions and Answers Flashcards

A patrol officer drives 180 km in 2.5 hours. What is the average speed?

Answer: 72 km/h

Average speed = distance ÷ time = 180 ÷ 2.5 = 72 km/h.

A $250 fine is increased by 12%. What is the new fine amount?

Answer: $280

12% of $250 is $30, so the new fine is $250 + $30 = $280.

A detachment has officers and civilian staff in a 3:5 ratio, with 64 staff in total. How many are officers?

Answer: 24

There are 3 + 5 = 8 parts, each part is 64 ÷ 8 = 8, so officers = 3 × 8 = 24.

What number comes next in the sequence: 3, 7, 15, 31, ?

Answer: 63

Each term is double the previous term plus 1, so 31 × 2 + 1 = 63.

An officer spends 35% of a 10-hour shift on paperwork. How many minutes is that?

Answer: 210 minutes

35% of 10 hours is 3.5 hours, and 3.5 × 60 = 210 minutes.

A suspect vehicle leaves at 90 km/h. Twenty minutes later, a cruiser follows at 120 km/h. How long does the cruiser take to catch up?

Answer: 1 hour

The suspect's head start is 90 × 1/3 = 30 km, and the cruiser closes the gap at 30 km/h, so it takes 1 hour.

Five emergency response times were 6, 8, 11, 7, and 13 minutes. What is the mean response time?

Answer: 9 minutes

The times add up to 45, and 45 ÷ 5 = 9 minutes.