Mathematical Reasoning Problems Flashcards

A city sanitation worker collects refuse from 48 buildings on a route. If 3/8 of the buildings have recycling, how many buildings have recycling?

Answer: 18

3/8 × 48 = 18 buildings have recycling.

A clerk earns $52,416 per year. What is the clerk's weekly salary?

Answer: $1,008.00

$52,416 ÷ 52 weeks = $1,008.00 per week.

A police precinct has 240 officers. If 15% are on leave, how many officers are currently on duty?

Answer: 204

15% of 240 = 36 on leave; 240 − 36 = 204 on duty.

If a water pipe delivers 45 gallons per minute, how many gallons will it deliver in 2 hours and 20 minutes?

Answer: 6,300

2 hr 20 min = 140 minutes; 140 × 45 = 6,300 gallons.

A storage room measures 18 feet by 12 feet. If 1/3 of the floor is occupied by shelving, how many square feet are available?

Answer: 144

Total area = 216 sq ft; 1/3 = 72 sq ft for shelving; 216 − 72 = 144 sq ft available.

Four city workers can complete a job in 6 days. How many days would it take 8 workers to complete the same job?

Answer: 3

Doubling the workers halves the time: 6 ÷ 2 = 3 days.

A bus traveled 156 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

Answer: 260

Rate = 52 mph; 52 × 5 = 260 miles.