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Mathematical Reasoning and Number Facility Flashcards

6 cards from real NYC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematical Reasoning and Number Facility flashcards as text

  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?

    Answer: 117

    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.

  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?

    Answer: 18

    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.

  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?

    Answer: 115

    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.

  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?

    Answer: $137,500

    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.

  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?

    Answer: 1,750 feet

    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.

  6. A vehicle fleet manager is reviewing fuel consumption. In January, Truck A used 350 gallons and Truck B used 420 gallons. In February, due to a new efficiency policy, Truck A used 310 gallons and Truck B used 385 gallons. What was the total decrease in fuel consumption for both trucks combined from January to February?

    Answer: 75 gallons

    There are two ways to solve this. Method 1: Calculate the decrease for each truck and add them (350 - 310 = 40) + (420 - 385 = 35) = 75. Method 2: Calculate total consumption each month and find the difference (350 + 420 = 770) - (310 + 385 = 695) = 75.