HESI A2 Math Practice Exam

Correct Answer: B

Rationale: To find 2/3 of 60, multiply 60 by 2/3, which gives 40. Next, find 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Adding 40 and 15 gives us 55. Therefore, the correct answer is B (55). Choice A (45) is incorrect as it only considers 2/3 of 60 without adding 1/5 of 75. Choices C (15) and D (50) also do not account for both parts of the equation.

Correct Answer: D

Rationale: To find out how many questions Brian answered correctly on the second test, we first calculate the 30% increase from his initial score of 150 questions. 30% of 150 is 45, so his new score is 150 + 45 = 195 questions. Therefore, the correct answer is D (195). Choice A (105) is incorrect because it is less than the initial score of 150. Choice B (120) is incorrect because it does not account for the 30% increase. Choice C (180) is incorrect as it is the result of adding 30% to the initial score, not the final score after the increase.

Correct Answer: A

Rationale: To convert meters to millimeters, we know that 1 meter is equal to 1000 millimeters. Therefore, to find how many millimeters are in 5 meters, we multiply 5 by 1000 which equals 5000 millimeters. Choice A (5000 mm) is correct. Choices B, C, and D are incorrect as they do not accurately convert 5 meters to millimeters. Choice B (4000 mm) is incorrect because it underestimates the conversion. Choice C (5500 mm) is incorrect as it overestimates the conversion. Choice D (6000 mm) is also incorrect as it overestimates the conversion.

Correct Answer: C

Rationale: To solve 32 divided by 8/9, we convert the division to multiplication by taking the reciprocal of 8/9, which is 9/8. So, 32 ÷ 8/9 becomes 32 x 9/8. Multiply numerators (32 x 9 = 288) and denominators (8) to get 288/8 = 36. Therefore, the correct answer is C: 36. Explanation for other choices: A: 4 & 1/9 - Incorrect because the result is a whole number, not a mixed number. B: 4 - Incorrect as it does not account for the fraction involved in the division. D: 28 & 4/9 - Incorrect as it is not the result of the division calculation.

Correct Answer: A

Rationale: Certainly! To compare, we need to convert both fractions to a common denominator. LCM of 8 and 100 (8*25) is 100. Sally ate (5/8)*100 = 62.5%. John ate 75%. Clearly, 75% is more than 62.5%. So, John ate more. Other choices are incorrect as they do not consider the actual percentages consumed by Sally and John.