HESI Mathematics

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A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?

  • A. 5
  • B. 6
  • C. 17
  • D. 50
Correct Answer: A

Rationale: To determine the number of packets the mother needs, you must calculate the total number of balloons required for all children. With 16 children receiving 15 balloons each, the total number of balloons needed is 15 x 16 = 240. As each packet contains 50 balloons, divide the total balloons needed by the number of balloons per packet: 240 · 50 = 4.8. Since packets cannot be in fractions, round up to the nearest whole number, which means the mother needs 5 packets to provide balloons for all 16 children.

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How many pints are in 80 ounces?

  • A. 1,280 pints
  • B. 16 pints
  • C. 15 pints
  • D. 5 pints
Correct Answer: D

Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.

Convert 7 3/8 to a decimal.

  • A. 7.38
  • B. 7.375
  • C. 7.357
  • D. 7.35
Correct Answer: B

Rationale: To convert 7 3/8 to a decimal, first convert the mixed number to an improper fraction: 7 * 8 + 3 = 59/8. Next, divide the numerator by the denominator: 59 ÷ 8 = 7.375. Therefore, the correct answer is B: 7.375.

Explanation:
A: 7.38 - Incorrect, as the fraction 3/8 is equal to 0.375, not 0.38.
C: 7.357 - Incorrect, as this is not the correct decimal equivalent of 7 3/8.
D: 7.35 - Incorrect, as this does not accurately represent the value of 7 3/8.

Ratio and Proportion: 3 : 10 :: 12 : X

  • A. X = 3.6
  • B. X = 40
  • C. X = 0.27
  • D. X = 2.5
Correct Answer: B

Rationale: To solve this proportion, set up the equation: 3/10 = 12/X. Cross-multiply to get 3X = 120. Dividing both sides by 3 gives X = 40. Therefore, the correct answer is B. X equals 40 to maintain the proportional relationship. The ratio 3:10 is equivalent to the ratio 12:40, hence X equals 40.

Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)

  • A. 2.4
  • B. 3.2
  • C. 4
  • D. 1.6
Correct Answer: A

Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 — 0.8 = 80 — X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.

Compare the relationships of these numbers: 0.25 is _______ to 25%.

  • A. equal
  • B. greater
  • C. less
  • D. not comparable
Correct Answer: A

Rationale: 0.25 is equivalent to 25% because they represent the same value in different forms. 0.25 is the decimal representation of 25% (0.25 = 25/100), making them equal in value. When comparing these two numbers, they are not greater or lesser than each other; they are exactly the same amount, just expressed differently. Therefore, the correct answer is 'equal' as 0.25 and 25% are essentially the same numeric value in different formats, demonstrating an equal relationship between them.

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