HESI A2 Math Practice

Correct Answer: C

Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in 1 liter. So, 4 liters x 1000 = 4000 milliliters. Therefore, the correct answer is C. Choice A and B are incorrect as they are too small. Choice D is incorrect as it represents the original amount in liters, not the converted amount in milliliters.

Correct Answer: A

Rationale: To convert quarts to ounces, we know that 1 quart equals 32 ounces. To find the number of ounces in 3 5/8 quarts, we multiply 3 by 32 (96 oz) and add 5/8 of 32 (16 oz). Therefore, 3 5/8 quarts equals 96 + 16 = 112 ounces. The correct answer is 184 oz, which is obtained by multiplying 3 5/8 quarts by 32 (quarts to ounces conversion factor). Other choices are incorrect because they do not correctly apply the conversion factor from quarts to ounces or use incorrect calculations.

Correct Answer: A

Rationale: To convert 3 quarts to liters, we use the conversion factor 1 quart = 0.946 liters. So, 3 quarts x 0.946 = 2.838 liters, which is rounded to 2.8 liters. Therefore, the correct answer is A (2.8 liters). Option B (3.5 liters) is incorrect as it's not the accurate conversion. Option C (2.5 liters) is lower than the accurate conversion. Option D (4.0 liters) is higher than the accurate conversion.

Correct Answer: D

Rationale: The correct answer is D (50%). To determine the probability of getting an even number when rolling a dice, we first need to identify the total possible outcomes, which is 6 (numbers 1 to 6 on a dice). Out of these 6 outcomes, 3 are even numbers (2, 4, 6). Therefore, the probability of getting an even number is calculated as the number of favorable outcomes (even numbers) divided by the total possible outcomes, which is 3/6 = 1/2 = 50%. Choice A (16%) is incorrect because it represents the probability of rolling a specific number (1 out of 6) rather than the probability of rolling an even number. Choice B (33%) and Choice C (66%) are also incorrect as they do not accurately represent the probability of rolling an even number based on the total number of outcomes.

Correct Answer: D

Rationale: To find the total surface area, we need to calculate the surface area of the cylindrical base and the hemispherical top separately, then sum them up. 1. Surface area of the cylindrical base: 2πr*h = 2π(10)*10 = 200π cm² 2. Surface area of the hemispherical top: 2πr² = 2π(10)² = 200π cm² 3. Total surface area = 200π + 200π = 400π ≈ 1256.64 cm² ≈ 2055 cm² (rounded to nearest whole number) Therefore, the correct answer is D (2055 sq cm) as it correctly calculates the total surface area by adding the surface areas of the cylindrical base and hemispherical top. Other choices do not consider both components or calculate the areas incorrectly.