HESI A2
HESI A2 Math Practice Test 2024 Questions
Question 1 of 5
Solve for x if x=11. x+(44/2x)
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.
Question 2 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 3 of 5
How many grams are in 4 kilograms?
Correct Answer: A
Rationale: The metric system is based on powers of 10. Since 1 kilogram equals 1000 grams, to convert 4 kilograms to grams, you multiply 4 by 1000.
Therefore, 4 kilograms is equal to 4000 grams.
Choice B (40) is incorrect because it represents grams in 4 decagrams, not kilograms.
Choice C (500) is incorrect as it is the result of 4 hectograms, not kilograms.
Choice D (0) is incorrect as it implies there are no grams in 4 kilograms, which is false.
Question 4 of 5
Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work?
Correct Answer: D
Rationale:
To find the total number of days Bill will have off, add his vacation days and sick days together. Bill has 2.5 vacation days and 1.25 sick days:
2.5 + 1.25 = 3.75 days
When rounding to the nearest whole number, 3.75 rounds up to 4.
Therefore, Bill will have 4 days off work.
Question 5 of 5
Change the following fraction into a ratio: 19/40
Correct Answer: A
Rationale:
To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:).
Therefore, 19/40 as a ratio is written as 19:40.
Choice B (40:19) is incorrect as it reverses the order of the numbers.
Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio.
Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.