Numerical Reasoning and Computation Flashcards

A detachment processes 9 cases per officer per week. If there are 14 officers and 3 are on leave, how many cases are processed in 4 weeks?

Answer: 396

Active officers = 14 − 3 = 11; cases per week = 11 × 9 = 99; over 4 weeks = 99 × 4 = 396.

A speed radar clocks a vehicle at 112 km/h in a 90 km/h zone. By what percentage is the driver exceeding the speed limit?

Answer: 22.2%

Excess = 22 km/h; percentage = (22 ÷ 90) × 100 ≈ 24.4%.

An officer writes reports at a rate of 3 reports per hour. If a shift is 8 hours and 2.5 hours are spent on patrol, how many reports can the officer complete?

Answer: 15

Time available for reports = 8 − 2.5 = 5.5 hours; reports = 5.5 × 3 = 16.5, so 16 complete reports — but 5.5 × 3 = 16.5, rounded down = 16.

A table shows arrest rates: Monday 12, Tuesday 15, Wednesday 9, Thursday 18, Friday 21. What is the range of daily arrests?

Answer: 12

Range = maximum − minimum = 21 − 9 = 12.

Two officers independently patrol overlapping sectors. Together they cover 540 km² in 6 hours. One officer covers 60 km²/h. How much area per hour does the second officer cover?

Answer: 30 km²/h

Combined rate = 540 ÷ 6 = 90 km²/h; second officer = 90 − 60 = 30 km²/h.

An RCMP applicant scored 78 out of 120 on a written test. What percentage did the applicant score?

Answer: 65%

(78 ÷ 120) × 100 = 65%.

A police helicopter travels 480 km in 1.5 hours. A ground unit travels the same route at 80 km/h. How much longer does the ground unit take than the helicopter?

Answer: 4.5 hours

Helicopter time = 1.5 hr; ground time = 480 ÷ 80 = 6 hr; difference = 6 − 1.5 = 4.5 hours.