HESI A2
HESI A2 Math Practice Test 2024 Questions
Question 1 of 5
A doctor prescribes 150 milligrams of medication to be taken orally every 12 hours. How many grams should the patient take per dose?
Correct Answer: B
Rationale:
Rationale: 1. Convert milligrams to grams: 150 milligrams = 150/1000 = 0.15 grams.
Therefore, the patient should take 0.15 grams per dose.
Choice A (0.015 grams) is incorrect as the decimal point was misplaced, leading to a value that is too small.
Choice C (1.5 grams) is incorrect as it represents 10 times the correct value.
Choice D (15 grams) is incorrect as it represents 100 times the correct value. The correct conversion from milligrams to grams is 0.15 grams.
Question 2 of 5
Solve for x. x/250 = 3/500
Correct Answer: A
Rationale:
To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750.
Then solve for x by dividing both sides by 500, which results in x = 1.5.
Therefore, the correct answer is A.
Choice B (2) is incorrect because the correct solution is 1.5, not 2.
Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion.
Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.
Question 3 of 5
You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
Correct Answer: A
Rationale:
To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator:
The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15.
Therefore, you need to add 7/15 cups of water.
Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed.
Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added.
Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.
Question 4 of 5
A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
Correct Answer: C
Rationale:
To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm.
Therefore, the correct answer is 1875 cu cm.
Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
Question 5 of 5
Convert 2100 to standard time.
Correct Answer: C
Rationale: Military time is based on a 24-hour clock.
To convert 2100 hours to standard time, subtract 1200 from the time if it is greater than or equal to 1300. In this case, 2100 - 1200 = 900, which corresponds to 9:00 PM in standard time.
Choice A, 12:00 PM, is incorrect because 2100 is in the evening, not noon.
Choice B, 2:00 AM, is incorrect as it represents the early morning hours.
Choice D, 2:00 PM, is incorrect as it is in the afternoon, not the evening.