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Number Facility Practice Tests

Perform quick, accurate mathematical computations, fee audits, operational averages, and quantitative reconciliations.

Civil Service Study Notice: These questions are original educational practice materials designed to mirror the formats, cognitive standards, and administrative reasoning tested in NYC civil service competitions. They are not actual past DCAS examination questions. NYCExam is an independent educational prep resource not affiliated with DCAS or the City of New York.

Practice Tests

Launch timed computerized practice tests designed for realistic preparation. Each set includes instant scoring, active countdown timers, and detailed answer rationales:

Number Facility - Practice Test 1

10 Questions Complete Explanations

Number Facility - Practice Test 2

10 Questions Complete Explanations

Number Facility - Practice Test 3

10 Questions Complete Explanations

Number Facility - Practice Test 4

10 Questions Complete Explanations

Number Facility - Practice Test 5

10 Questions Complete Explanations

Number Facility Practice Questions & Explanations

Select your answer for each question, check your answers, and submit to review your complete score and official reasoning.

0 / 10 Answered
Question 1 of 10
Multiple Choice (Single Answer)
A municipal parking garage records the following cash receipts during four morning shifts: Shift 1: $1,245.50 Shift 2: $980.25 Shift 3: $1,412.75 Shift 4: $861.50 What is the total cash collected across all four shifts?
Question 2 of 10
Multiple Choice (Single Answer)
A maintenance department purchases 15 cases of safety goggles. Each case contains 24 pairs of goggles. The vendor charges $3.50 per individual pair. What is the total invoice cost before sales tax?
Question 3 of 10
Multiple Choice (Single Answer)
A city water storage reservoir with a capacity of 500,000 gallons is currently 78% full. During a routine maintenance flush, 65,000 gallons are drained. How many gallons of water remain in the reservoir after the flush?
Question 4 of 10
Multiple Choice (Single Answer)
An administrative employee earns an annual base salary of $54,600. The employee is paid bi-weekly across 26 equal pay periods per year. If mandatory payroll deductions (taxes, pension, and health benefits) total 28% of gross earnings per paycheck, what is the employee's net take-home pay per pay period?
Question 5 of 10
Multiple Choice (Single Answer)
A highway resurfacing crew paves a 2.4-mile section of a municipal parkway in 6 working hours. At this constant rate, how many hours will it take the crew to pave a separate 8.4-mile section?
Question 6 of 10
Multiple Choice (Single Answer)
A departmental copying machine meter records 48,250 copies on Monday morning and 51,490 copies on Friday afternoon. If the agency pays $0.025 per copy under its leasing agreement, what is the total copying expense incurred for the week?
Question 7 of 10
Multiple Choice (Single Answer)
An agency inventory count reveals the following box counts across four storage bays: Bay A: 142 boxes Bay B: 89 boxes Bay C: 115 boxes Bay D: 154 boxes What is the average (mean) number of boxes stored per bay?
Question 8 of 10
Multiple Choice (Single Answer)
A municipal transit bus route is 16 miles long. A bus completes 5 round trips along this route during a single shift. (Note: One round trip equals 2 times the one-way route length.) If the bus consumes 40 gallons of diesel fuel over the shift, what was its average fuel efficiency in miles per gallon (MPG)?
Question 9 of 10
Multiple Choice (Single Answer)
A purchase order for office supplies totals $3,200. The supplier offers a 5% discount for payments settled within 10 days. If the department pays within the discount window, how much money does the city save?
Question 10 of 10
Multiple Choice (Single Answer)
A rectangular municipal asphalt lot measures 120 feet in length and 80 feet in width. A safety crew needs to install painted reflective border tape around the entire perimeter. How many linear feet of tape are required?
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About Number Facility

Number Facility involves performing basic mathematical operations—addition, subtraction, multiplication, division, percentages, and proportions—quickly and accurately. In city agencies, employees calculate transit metrics, audit invoice records, process permit fees, and measure inventory levels. This test focuses on computational precision and rapid numerical accuracy.

Exam Day Strategies

  • Rely solely on provided facts: Do not use outside assumptions or personal experience. If a rule is stated in the prompt, treat it as absolute.
  • Watch for qualifying words: Pay close attention to words like always, never, unless, mandatory, and except.
  • Pace yourself evenly: Civil service tests allocate approximately 1.5 to 2 minutes per question. Flag difficult questions and return later.
  • Verify all answer choices: Eliminate clearly contradicted options first before making your final selection.

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