HESI A2 Math Practice

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.

Correct Answer: A

Rationale: To solve the equation 3x + 2 = 14, we first isolate x by subtracting 2 from both sides, yielding 3x = 12. Then, we divide by 3 on both sides to find x = 4. Choice A is correct as x equals 4 satisfies the equation. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted in.

Correct Answer: A

Rationale: To solve for x in the equation x + 44 / 2x = 11, we first simplify by multiplying both sides by 2x to get rid of the fraction. This gives us x^2 + 44 = 22x. Rearranging, we get x^2 - 22x + 44 = 0. This quadratic equation can be factored as (x - 11)(x - 4) = 0. Therefore, x = 11 or x = 4. However, x = 4 does not satisfy the original equation, so the correct answer is x = 11 (Choice A). Choices B, C, and D are incorrect as they do not satisfy the equation after substitution.

Correct Answer: C

Rationale: To convert 2/5 to a decimal, divide the numerator (2) by the denominator (5). 2 ÷ 5 = 0.4 Therefore, the correct answer is C: 0.4. Choice A (0.5) is incorrect as it represents 1/2. Choice B (0.25) is incorrect as it represents 1/4. Choice D (0.5) is a duplicate of choice A and is also incorrect.

Correct Answer: B

Rationale: To find the total number of shipping labels needed per day, we multiply the number of boxes by the number of labels per box: 9 boxes x 3 labels = 27 labels. This is why choice B (27 labels) is correct. Choice A (24 labels) results from multiplying the boxes by labels incorrectly. Choice C (20 labels) and choice D (30 labels) are both too low and too high respectively, indicating an incorrect understanding of the calculation required.