NYC Mathematical Reasoning 5

Question 1

A department store room measures 15 feet by 12 feet. If one gallon of paint covers 350 square feet and the walls are 9 feet high, how many gallons are needed to paint all four walls (ignoring doors and windows)?

Accepted Answer

2

Answer

Perimeter = 2(15 + 12) = 54 ft; wall area = 54 × 9 = 486 sq ft; gallons = 486 ÷ 350 ≈ 1.39, so 2 gallons needed.

Question 2

On a map, 1 inch represents 5 miles. Two city facilities are 3.4 inches apart on the map. What is the actual distance between the facilities?

Accepted Answer

17 miles

Answer

Actual distance = 3.4 × 5 = 17 miles.

Question 3

A city employee's pension is calculated as 2% of average salary multiplied by years of service. If an employee retires after 25 years with an average salary of $58,000, what is the annual pension?

Accepted Answer

$29,000

Answer

Pension = 0.02 × $58,000 × 25 = $29,000 per year.

Question 4

Of 360 applicants for a civil service exam, 5/9 passed the written test. Of those who passed, 2/5 were invited for an interview. How many applicants were invited for an interview?

Accepted Answer

80

Answer

Passed written = (5/9) × 360 = 200; invited = (2/5) × 200 = 80 applicants.

Question 5

A city project is budgeted at $2,400,000. After the first phase, $875,000 has been spent. If the second phase costs 1.5 times the first phase, how much of the budget remains after both phases?

Accepted Answer

$212,500

Answer

Phase 2 = 1.5 × $875,000 = $1,312,500; total spent = $875,000 + $1,312,500 = $2,187,500; remaining = $2,400,000 – $2,187,500 = $212,500.

NYC - Civil Service Exam Practice Test

NYC - Civil Service Exam Practice Test

NYC Mathematical Reasoning 5