HESI Mathematics

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The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?

  • A. The length of Napoleon's forearm
  • B. 2
  • C. 10
  • D. Atomic weight of helium
Correct Answer: C

Rationale: The metric system of measurement is based on the factor of 10. This factor allows for easy conversion between units as they are all related by powers of 10. For example, moving from centimeters to meters involves multiplying or dividing by 10, making the system simple and efficient to use. The length of Napoleon's forearm, choice A, is not the basis for the metric system. Choice B and choice D are also incorrect as they do not align with the fundamental principle of the metric system being based on units that are interrelated by powers of 10.

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How many cakes are needed to serve a group of 70 students and 3 staff members if each cake provides 24 servings?

  • A. 4
  • B. 2
  • C. 3
  • D. 5
Correct Answer: A

Rationale: To determine the number of cakes needed, add the total number of individuals to be served: 70 students + 3 staff members = 73 individuals. Then, divide the total number of individuals by the number of servings per cake: 73 · 24 = 3 with a remainder. Since you cannot serve a fraction of a cake, you will need an additional cake. Therefore, you would need 4 cakes to serve the group of 70 students and 3 staff members, ensuring each person receives a serving.

Find x. 120:x::40:0.5 =

  • A. 16
  • B. 0.167
  • C. 60
  • D. 1.5
Correct Answer: D

Rationale: To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.

What is the result of subtracting 10.012 by 0.120?

  • A. 10
  • B. 9.012
  • C. 10.122
  • D. 9.892
Correct Answer: D

Rationale: When subtracting decimal numbers, it is essential to align the decimal points and subtract each place value. In this case, subtracting 0.120 from 10.012 results in 9.892 (D) as the correct answer. The accurate calculation is 10.012 - 0.120 = 9.892.

If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)

  • A. 6
  • B. 5.5
  • C. 5
  • D. 4.5
Correct Answer: A

Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.

How many meters are in 2 kilometers?

  • A. 2000 meters
  • B. 0.002 meters
  • C. 20 meters
  • D. 0.2 meters
Correct Answer: A

Rationale: To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 2 kilometers is equal to 2 x 1000 = 2000 meters. The correct answer is 2000 meters. This conversion is a fundamental mathematical operation used across different fields, such as science, engineering, and day-to-day measurements, to accurately convert between larger and smaller units of length.

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