NYC Civil Service Mathematical Reasoning and Number Facility Questions and Answers

Question 1

A clerk at the Department of Finance can process 18 tax forms per hour. If the clerk works for a full 7-hour day, but takes a 30-minute break, how many forms can be processed?

Accepted Answer

117

Answer

First, calculate the total work time in hours. A 7-hour day minus a 30-minute (0.5 hour) break is 6.5 hours of work. Then, multiply the work hours by the processing rate: 6.5 hours * 18 forms/hour = 117 forms.

Question 2

A sanitation route consists of 48 city blocks. By noon, 5/8 of the route is completed. How many blocks remain to be serviced?

Accepted Answer

18

Answer

First, find the number of blocks completed by calculating 5/8 of 48: (48 * 5) / 8 = 30 blocks. Then, subtract the number of completed blocks from the total number of blocks to find how many remain: 48 - 30 = 18 blocks.

Question 3

The 311 call center tracks the number of calls answered by an operator over a 5-day work week. The counts are: Monday (105), Tuesday (120), Wednesday (115), Thursday (125), and Friday (110). What is the average number of calls answered per day?

Accepted Answer

115

Answer

To find the average, sum the number of calls for all five days and then divide by the number of days (5). Total calls = 105 + 120 + 115 + 125 + 110 = 575. Average = 575 ÷ 5 = 115.

Question 4

The Department of Parks & Recreation has an annual budget of $5,500,000. If 2.5% of the budget is allocated for new playground equipment, what is the total dollar amount of this allocation?

Accepted Answer

$137,500

Answer

To find the allocated amount, first convert the percentage to a decimal by dividing by 100 (2.5% = 0.025). Then, multiply the decimal by the total budget: $5,500,000 * 0.025 = $137,500.

Question 5

On a city planning map, the scale is 1 inch = 500 feet. The distance between a proposed new firehouse and the nearest hospital on the map is 3.5 inches. What is the actual distance in feet?

Accepted Answer

1,750 feet

Answer

To find the actual distance, multiply the map distance in inches by the scale factor (feet per inch). Calculation: 3.5 inches * 500 feet/inch = 1,750 feet.

NYC - Civil Service Exam Practice Test

NYC - Civil Service Exam Practice Test

NYC Civil Service Mathematical Reasoning and Number Facility Questions and Answers