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

A rectangular crime scene measures 12 m by 8.5 m. How much tape is needed to go around it once?

Answer: 41 m

Perimeter = 2 × (12 + 8.5) = 2 × 20.5 = 41 m.

After a 20% discount, a piece of equipment costs $64. What was the original price?

Answer: $80

$64 is 80% of the original price, so the original = 64 ÷ 0.8 = $80.

Five officers process 60 files in 4 hours. At the same rate, how many files can 8 officers process in 4 hours?

Answer: 96

Each officer handles 12 files in 4 hours, so 8 × 12 = 96.

Which fraction is equal to 0.375?

Answer: 3/8

3 ÷ 8 = 0.375.

What number comes next in the sequence: 2, 6, 12, 20, 30, ?

Answer: 42

The gaps grow by 2 each time (4, 6, 8, 10, 12), so 30 + 12 = 42.

A cruiser uses 11 L of fuel per 100 km. How much fuel does it need for a 450 km trip?

Answer: 49.5 L

450 ÷ 100 × 11 = 4.5 × 11 = 49.5 L.

Monthly arrests rose from 40 to 52. What is the percentage increase?

Answer: 30%

The increase is 12, and 12 ÷ 40 = 0.30, which is 30%.