NYC Mathematical Reasoning Problems 5

Question 1

A water main repair crew completed 2/5 of a project on Monday and 1/4 on Tuesday. What fraction remains?

Accepted Answer

7/20

Answer

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?

Accepted Answer

1,040

Answer

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?

Accepted Answer

42°F

Answer

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?

Accepted Answer

$633,600

Answer

(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?

Accepted Answer

26

Answer

Remaining = 216 − 88 = 128 reports over 5 days; 128 ÷ 5 = 25.6, rounded to 26.

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