HESI A2 Math Practice Test 2024

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: 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: 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.

Correct Answer: A

Rationale: To calculate the percentage of patients satisfied, divide the number of satisfied patients (120) by the total number of patients surveyed (150) and multiply by 100. So, (120/150) x 100 = 80%. Therefore, the correct answer is A (80%). Choice B (75%) is too low, Choice C (85%) is too high, and Choice D (90%) is also too high based on the given data. Thus, the correct percentage of patients satisfied is 80%.

Correct Answer: C

Rationale: To find the perimeter of the kite, we add up all the sides. Top base = 20cm Bottom base = 30cm Two equal side lengths = 15cm each Perimeter = 20 + 30 + 15 + 15 = 80cm Therefore, the correct answer is C (70cm). Choice A (55cm) is incorrect as it does not consider all the sides of the kite. Choice B (65cm) is incorrect as it does not account for the top and bottom bases. Choice D (80cm) is incorrect as it miscalculates the perimeter by not adding the side lengths correctly.