HESI A2 Math Practice

Correct Answer: C

Rationale: To find the total surface area, we calculate the area of the rectangular base (20*15=300 sq cm). Then, we find the surface area of the hemispherical top, which is half the surface area of a sphere with radius 10cm (diameter is the same as the base). So, the surface area of the hemispherical top is 2πr^2 = 2*π*(10)^2 = 200π sq cm. Adding the two areas together (300+200π), we get 300+200π ≈ 300+628.32 ≈ 928.32 sq cm. The correct answer is 1325 sq cm (Option C), which is the total surface area of the box excluding the base. Option A, B, and D are incorrect as they do not represent the accurate total surface area of the box.

Correct Answer: C

Rationale: To find the area of a circle, we use the formula A = πr^2. Given that the diameter is 6cm, the radius (r) is half of the diameter, which is 3cm. Plugging this into the formula, we get A = π(3)^2 = 9π cm^2. Therefore, the correct answer is C: 27π cm^2. Choices A, B, and D are incorrect because they do not correctly calculate the area based on the given diameter.

Correct Answer: C

Rationale: To convert 7/8 to a decimal, you divide 7 by 8. 7 divided by 8 equals 0.875. Therefore, the correct answer is C: 0.875. Option A and B are incorrect as they are the same and represent 0.8, not 0.875. Option D is incorrect as 7/8 is not equal to 0.9.

Correct Answer: A

Rationale: To convert liters to milliliters, you multiply by 1000 since there are 1000 milliliters in 1 liter. So, 5 liters x 1000 = 5000 milliliters. Therefore, the correct answer is A: 5000 milliliters. B: 50 milliliters - This is incorrect as it is the result of dividing 5 liters by 100 instead of multiplying by 1000. C: 500 milliliters - This is incorrect as it is the result of multiplying 5 liters by 100 instead of 1000. D: 0.5 milliliters - This is incorrect as it is the result of dividing 5 liters by 10 instead of multiplying by 1000.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face showing a 5 on a six-sided die, so the favorable outcome is 1. The total number of possible outcomes when rolling a six-sided die is 6. Therefore, the probability of rolling a 5 is 1/6. Choice B (1/4) is incorrect because there is only one face showing a 5 out of 6 possible outcomes, not 4. Choice C (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a 5. Choice D (1/3) is incorrect as it does not accurately represent the probability of rolling a 5 on a six-sided die.