HESI A2 Math Practice

Correct Answer: B

Rationale: The correct answer is B: 1/6. There is only one side on the die that shows a 4 out of six possible outcomes. Thus, the probability of rolling a 4 is 1 out of 6, which simplifies to 1/6. A: 1/2 - Incorrect. The die has 6 sides, not 2. C: 1/3 - Incorrect. There is only one side with a 4, not three. D: 1/2 - Incorrect. Again, the die has 6 sides, not 2.

Correct Answer: B

Rationale: To convert ounces to milliliters, we need to know that 1 oz is approximately 29.57 mL. Given the bottle contains 3/4 oz of perfume: (3/4) * 29.57 = 22.175 mL, which rounds to 22.5 mL. Thus, the correct answer is B (22.5 mL). Choice A (25 mL) is incorrect as it is the result of rounding up 22.175 mL. Choices C (15 mL) and D (20 mL) are incorrect as they do not align with the conversion factor of 1 oz to mL.

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: A

Rationale: To multiply fractions, multiply the numerators (top numbers) and denominators (bottom numbers) separately. So, 3/4 * 1/3 = (3*1) / (4*3) = 3/12 = 1/4. Therefore, the correct answer is A. Choice B is incorrect because multiplying the numerators and denominators would give 3/12, not 1/3. Choice C is incorrect as the result of multiplying 3/4 and 1/3 is 1/4, not 3/5. Choice D is incorrect as 3/4 * 1/3 is 1/4, not 3/8.

Correct Answer: B

Rationale: The correct answer is B: 3 units. To determine the insulin dose, we first calculate the excess blood sugar above 100mg/dL, which is 80mg/dL (180-100). Then, we use the ratio of 1 unit per 40mg/dL excess, resulting in 2 units for the first 80mg/dL. Since the blood sugar is 180mg/dL, an additional unit is needed for the remaining 40mg/dL above 100mg/dL, totaling 3 units. Choice A: 2 units - This is incorrect as it only accounts for the first 80mg/dL excess and does not consider the additional 40mg/dL above 100mg/dL. Choice C: 4 units - This is incorrect as it overestimates the insulin dose by not using the correct ratio of 1 unit per 40mg/dL excess. Choice D: 5 units - This is incorrect as it