NYC Mathematical Reasoning and Number Facility 5 — Questions and Answers
Question 1: A city worker drives 14.4 miles each way, 5 days a week. The vehicle averages 24 miles per gallon and fuel costs $3.60 per gallon. What is the weekly fuel cost?
- $21.60 (Correct answer)
- $10.80
- $43.20
- $18.00
Correct answer: $21.60
Weekly miles = 14.4 × 2 × 5 = 144; gallons = 144 ÷ 24 = 6; cost = 6 × $3.60 = $21.60.
Question 2: A data entry clerk types 65 words per minute. A report contains 9,750 words. How many minutes will it take to type the entire report?
- 150 minutes (Correct answer)
- 130 minutes
- 175 minutes
- 120 minutes
Correct answer: 150 minutes
9,750 ÷ 65 = 150 minutes.
Question 3: A city department ordered 240 chairs at $48 each and received a 12.5% bulk discount. What total amount was paid?
- $10,080 (Correct answer)
- $11,520
- $1,440
- $9,600
Correct answer: $10,080
List price = 240 × $48 = $11,520; discount = $11,520 × 0.125 = $1,440; paid = $11,520 − $1,440 = $10,080.
Question 4: The ratio of supervisors to workers in a city agency is 2:9. There are 198 workers. How many supervisors are there?
- 44 (Correct answer)
- 36
- 22
- 18
Correct answer: 44
198 ÷ 9 = 22 ratio units; supervisors = 22 × 2 = 44.
Question 5: A civil service test has 4 sections worth 25 points each. A candidate scores 19, 22, 17, and 21. What percentage of total possible points did the candidate earn?
- 79% (Correct answer)
- 75%
- 81%
- 83%
Correct answer: 79%
Total earned = 19 + 22 + 17 + 21 = 79; total possible = 100; 79 ÷ 100 = 79%.
Question 6: A fire department ladder reaches 85 feet. Using the conversion 1 foot ≈ 0.3048 meters, what is the ladder's height in meters, rounded to the nearest whole meter?
- 26 meters (Correct answer)
- 30 meters
- 22 meters
- 28 meters
Correct answer: 26 meters
85 × 0.3048 ≈ 25.91 ≈ 26 meters.
Question 7: A city agency processes 1,350 forms in 9 days using 6 clerks. At the same per-clerk rate, how many days would 4 clerks need to process 1,200 forms?
- 12 days (Correct answer)
- 18 days
- 15 days
- 20 days
Correct answer: 12 days
Rate = 1,350 ÷ (9 × 6) = 25 forms per clerk per day; 4 clerks = 100 forms/day; 1,200 ÷ 100 = 12 days.
NYC Mathematical Reasoning and Number Facility 5
A city worker drives 14.4 miles each way, 5 days a week.
The vehicle averages 24 miles per gallon and fuel costs $3.60 per gallon.
What is the weekly fuel cost?