HESI Mathematics

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A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?

  • A. 50
  • B. 51
  • C. 53
  • D. 54
Correct Answer: C

Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.

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Convert 5 3/4 to a decimal. Round to the nearest tenth.

  • A. 5.75
  • B. 5.7
  • C. 6
  • D. 5.8
Correct Answer: A

Rationale: To convert a mixed number to a decimal, divide the numerator by the denominator. In this case, 3 · 4 = 0.75. Adding this to 5 gives us 5.75. Rounding 5.75 to the nearest tenth results in 5.8. Therefore, the correct answer is A, 5.8.

If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?

  • A. 133 days
  • B. 399 days
  • C. 66 1/2 days
  • D. 75 1/2 days
Correct Answer: C

Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.

Compare 0.045 to 0.054.

  • A. Equal
  • B. Greater than
  • C. Less than or equal
  • D. Less than
Correct Answer: D

Rationale: When comparing the decimal numbers 0.045 and 0.054, 0.045 is less than 0.054. In decimal numbers, the value increases from left to right. The digit in the tenths place in 0.045 is 0, while the digit in the tenths place in 0.054 is 5. Since 5 is greater than 0, 0.054 is greater than 0.045. Therefore, 0.045 is less than 0.054.

Ratio and Proportion: 9 : X :: 5 : 300

  • A. 540
  • B. 600
  • C. 450
  • D. 500
Correct Answer: A

Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.

How many ounces are in 3 gallons?

  • A. 256 oz
  • B. 384 oz
  • C. 512 oz
  • D. 128 oz
Correct Answer: B

Rationale: To convert gallons to ounces, you should multiply by the conversion factor of 128 (1 gallon = 128 ounces). Therefore, to find the number of ounces in 3 gallons, you calculate: 3 gallons x 128 ounces/gallon = 384 ounces. Hence, there are 384 ounces in 3 gallons.

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