HESI A2 Math Practice

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 28 3/4 = 115/4 and 5 5/6 = 35/6. Then subtract: 115/4 - 35/6. Find a common denominator, which is 12. So, 115/4 becomes 345/12 and 35/6 becomes 70/12. Subtract to get 275/12 = 22 & 11/12, which is choice A. The other choices are incorrect because they do not match the correct result obtained through the step-by-step subtraction of the mixed numbers converted to improper fractions.

Correct Answer: A

Rationale: The correct answer is A: 16.67%. There is only one face of the die with a 5, out of a total of 6 faces. Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.67%. Other choices are incorrect: B: 20% - This is the probability if there were 5 faces with a 5. C: 50% - This would be the probability if there were only two faces on the die. D: 83.33% - This would be the probability if there were 5 faces with a 5.

Correct Answer: D

Rationale: To convert ounces to pounds, divide the number of ounces by 16 (since 1 pound = 16 ounces). So, 176 ounces ÷ 16 = 11 pounds. This makes option D the correct answer. Option A (15 pounds) is incorrect as it is not the result of the conversion calculation. Option B (10 pounds) and option C (12 pounds) are also incorrect as they do not align with the accurate conversion of 176 ounces to pounds.

Correct Answer: B

Rationale: To find 60% of 150, you multiply 150 by 0.6 (which represents 60%). 150 * 0.6 = 90 Therefore, the correct answer is B: 90. Choice A is incorrect as 80 is not the result of multiplying 150 by 0.6. Choice C is incorrect as 120 is not 60% of 150. Choice D is incorrect as it is the same as choice A.

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.