HESI A2 Math Practice Test 2024

Questions 46

HESI A2

HESI A2 Test Bank

HESI A2 Math Practice Test 2024 Questions

Question 1 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, 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.

Question 2 of 5

What is the result of adding 7/21 + 10/21?

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.

Question 3 of 5

5\7 + 3\14 = ?

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.

Question 4 of 5

A person consumed 75 grams of protein. This is 30% of the recommended daily intake (RDI) for protein. How many grams of protein does the person need to consume to meet the full RDI?

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.

Question 5 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 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.

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