NYC Mathematical Reasoning Problems 5 — Questions and Answers
Question 1: A water main repair crew completed 2/5 of a project on Monday and 1/4 on Tuesday. What fraction remains?
- 7/20 (Correct answer)
- 3/10
- 9/20
- 11/20
Correct answer: 7/20
2/5 + 1/4 = 8/20 + 5/20 = 13/20 done; 20/20 − 13/20 = 7/20 remaining.
Question 2: An employee works 8 hours per day, 5 days per week. How many hours does the employee work in a 26-week period?
- 920
- 1,000
- 1,040 (Correct answer)
- 1,080
Correct answer: 1,040
8 × 5 = 40 hours/week; 40 × 26 = 1,040 hours.
Question 3: The temperature dropped from 34°F to −8°F overnight. By how many degrees did the temperature drop?
- 26°F
- 34°F
- 42°F (Correct answer)
- 46°F
Correct answer: 42°F
34 − (−8) = 34 + 8 = 42 degrees.
Question 4: A city purchases 15 vehicles at $28,400 each and 6 vehicles at $34,600 each. What is the total purchase cost?
- $633,600 (Correct answer)
- $643,200
- $634,600
- $639,600
Correct answer: $633,600
(15 × $28,400) + (6 × $34,600) = $426,000 + $207,600 = $633,600.
Question 5: A supervisor must review 216 reports in 9 days. After 4 days, 88 reports have been reviewed. How many must be reviewed per day for the remainder?
- 24
- 25
- 26 (Correct answer)
- 32
Correct answer: 26
Remaining = 216 − 88 = 128 reports over 5 days; 128 ÷ 5 = 25.6, rounded to 26.
Question 6: A fence runs along 3 sides of a rectangular lot that is 90 feet long and 60 feet wide. What is the total length of fence needed?
- 180 ft
- 210 ft (Correct answer)
- 240 ft
- 300 ft
Correct answer: 210 ft
3 sides = 90 + 60 + 60 = 210 feet (one long side + two short sides).
Question 7: If 5 city workers earn a combined total of $312,500 per year, what is the average annual salary per worker?
- $57,500
- $60,000
- $62,500 (Correct answer)
- $65,000
Correct answer: $62,500
$312,500 ÷ 5 = $62,500 per worker.
NYC Mathematical Reasoning Problems 5
A water main repair crew completed 2/5 of a project on Monday and 1/4 on Tuesday.
What fraction remains?