NYC Mathematical Reasoning Problems 2

Question 1

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?

Accepted Answer

18

Answer

3/8 × 48 = 18 buildings have recycling.

Question 2

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

Accepted Answer

$1,008.00

Answer

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

Question 3

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

Accepted Answer

204

Answer

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

Question 4

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

Accepted Answer

6,300

Answer

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

Question 5

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?

Accepted Answer

144

Answer

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

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