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: The correct answer is A: 440 mL. To determine the deficit in milliliters, we need to calculate the total intake and compare it to the total output. Total intake is calculated as follows: 2 (8oz cups of coffee) + 1 (16oz serving of clear soup) + 1 (pint of water) = 16oz + 16oz + 16oz = 48oz = 1,420 mL. The total output from the drainage bag is 1,000 mL. Therefore, the deficit is 1,420 mL (total intake) - 1,000 mL (total output) = 420 mL. However, since the patient consumed a clear diet, we should also subtract the insensible losses which are typically around 20% of the total intake. 20% of 1,420 mL = 284 mL. Subtracting this from the initial deficit of 420 mL gives us a final deficit of 420 mL

Correct Answer: A

Rationale: The correct answer is A: 19:40. To convert a fraction to a ratio, we simply write the numerator followed by a colon and then the denominator. In this case, 19/40 converts to 19:40. The other choices are incorrect because B switches the positions of the numbers, C simplifies the fraction incorrectly, and D simplifies the fraction to a different ratio. Therefore, the correct answer is A as it accurately represents the ratio of 19 to 40.

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.

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%.