NYC Mathematical Reasoning and Number Facility 2 — Questions and Answers
Question 1: A city department has a budget of $4,800 for office supplies. Supplies cost $37.50 per employee and there are 112 employees. How much budget remains after purchasing supplies?
- $600 (Correct answer)
- $1,200
- $420
- $300
Correct answer: $600
112 × $37.50 = $4,200; $4,800 − $4,200 = $600 remaining.
Question 2: A civil service exam awards 2 points for each correct answer and deducts 0.5 points for each incorrect answer. An applicant answers 38 correctly and 12 incorrectly. What is the final score?
- 70 (Correct answer)
- 76
- 65
- 68
Correct answer: 70
(38 × 2) − (12 × 0.5) = 76 − 6 = 70.
Question 3: A water meter reads 58,342 gallons at the start of the month and 61,907 gallons at the end. The rate is $0.008 per gallon. What is the monthly water bill?
- $28.52 (Correct answer)
- $285.20
- $2,852.00
- $23.10
Correct answer: $28.52
Usage = 61,907 − 58,342 = 3,565 gallons; 3,565 × $0.008 = $28.52.
Question 4: Three city clerks process permit applications at 15, 18, and 12 permits per hour. Working together for 6 hours, how many permits do they process in total?
- 270 (Correct answer)
- 225
- 300
- 180
Correct answer: 270
Combined rate = 15 + 18 + 12 = 45/hr; 45 × 6 = 270 permits.
Question 5: A sanitation truck covers 28.6 miles in the morning and 31.4 miles in the afternoon, 5 days a week. How many total miles does it travel over a 4-week period?
- 1,200 miles (Correct answer)
- 600 miles
- 480 miles
- 1,000 miles
Correct answer: 1,200 miles
Daily total = 28.6 + 31.4 = 60 miles; 60 × 5 × 4 = 1,200 miles.
Question 6: A city park covers 4,960 square feet, and 5/8 of it is designated for recreation. How many square feet are NOT designated for recreation?
- 1,860 sq ft (Correct answer)
- 3,100 sq ft
- 2,480 sq ft
- 4,340 sq ft
Correct answer: 1,860 sq ft
Recreation area = (5/8) × 4,960 = 3,100 sq ft; non-recreation = 4,960 − 3,100 = 1,860 sq ft.
Question 7: A city worker earns $18.00/hr for regular hours (up to 40 hrs/week) and $27.00/hr for overtime. If the worker puts in 48 hours one week, what is the gross pay?
- $936 (Correct answer)
- $864
- $1,296
- $900
Correct answer: $936
Regular = 40 × $18 = $720; overtime = 8 × $27 = $216; total = $720 + $216 = $936.
NYC Mathematical Reasoning and Number Facility 2
A city department has a budget of $4,800 for office supplies.
Supplies cost $37.50 per employee and there are 112 employees.
How much budget remains after purchasing supplies?