HESI A2 Math Practice Test 2024

Correct Answer: C

Rationale: To find the volume of the frustum of a cone, we use the formula V = 1/3 * πh * (R^2 + r^2 + Rr), where h is the height, R is the radius of the larger base, and r is the radius of the smaller base. Plugging in the values (h=15cm, R=10cm, r=5cm), we get V = 1/3 * π * 15 * (100 + 25 + 50) = 1875 cu cm. This is why choice C is correct. Choice A is incorrect because it uses the incorrect formula for volume of a cone. Choices B and D are also incorrect as they do not consider the frustum shape and use the formula for a full cone.

Correct Answer: A

Rationale: To add fractions, ensure the denominators are the same. Here, both fractions already have a common denominator of 21. Add the numerators: 7 + 10 = 17. So, the result is 17/21 (choice A). Other choices are incorrect because: B: 15/21 - Incorrect, the sum of the numerators is 17, not 15. C: 9/21 - Incorrect, the sum of the numerators is 17, not 9. D: 10/21 - Incorrect, this is just one of the fractions being added, not the result of the addition.

Correct Answer: A

Rationale: To add fractions, we need a common denominator, which in this case is 14. So, we rewrite 5/7 as 10/14 and 3/14 remains the same. Adding these gives us 13/14, which is the correct answer (A). The other choices are incorrect because B, C, and D do not properly add up the fractions with a common denominator of 14.

Correct Answer: A

Rationale: The correct answer is A (250 grams). To calculate the full RDI, we use the formula: RDI = Consumed Amount / Percentage Consumed. Given, Consumed Amount = 75 grams and Percentage Consumed = 30%. Therefore, RDI = 75 / 0.30 = 250 grams. The other choices are incorrect because they do not match the calculated value based on the given information. Choice B, C, and D are all higher than the correct calculation of 250 grams, so they do not align with the required amount based on the 30% consumption.

Correct Answer: D

Rationale: To calculate the total days off, add Bill's remaining vacation days (2.5) and sick days (1.25): 2.5 + 1.25 = 3.75 days. Since Bill is using all his sick days and vacation days, he will have 3 full days off work. Therefore, the correct answer is D (4 days). Choices A, B, and C are incorrect as they do not consider the combination of remaining days and assume a different outcome.