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HESI A2

HESI A2 Math 2024

1. Multiply 0.05 by 22 and express the result as a decimal:

Correct answer: C

Rationale: When multiplying 0.05 by 22, you get 1.10. To express this result as a decimal, you move the decimal point two places to the left since there are two total decimal places in the question (one in 0.05 and none in 22), resulting in 0.011. Choice A (1.1) incorrectly adds a decimal place, choice B (0.11) incorrectly moves the decimal point only one place, and choice D (0.0011) adds an extra zero.

2. What is 25% of 400?

Correct answer: D

Rationale: To find 25% of a number, multiply the number by 0.25 (since 25% is the same as 25/100 or 0.25). In this case, 400 x 0.25 = 100. Therefore, 25% of 400 equals 100. Choice A, 800, is incorrect because it is the result of multiplying 400 by 2, not by 0.25. Choice B, 10,000, is also incorrect as it is significantly higher than the correct answer. Choice C, 200, is incorrect as it is the result of dividing 400 by 2, not by 0.25.

3. A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?

Correct answer: A

Rationale: To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.

4. A pizza has a diameter of 40cm. What is its perimeter (circumference)?

Correct answer: C

Rationale: Rationale: The correct answer is obtained by applying the formula for the circumference of a circle, which is \(C = \pi \times d\), where \(d\) is the diameter of the circle. By substituting the given diameter of 40cm into the formula and performing the calculation, we find that the circumference of the pizza is 125.6cm.

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.

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