HESI A2 Math Practice Test 2023

Correct Answer: A

Rationale: The correct answer is A: 5.3 hours. To calculate the total time taken, add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. This is the total time taken by the female to complete the 24-mile course. Choice B (4.5 hours) is incorrect because it does not account for the increasing time taken for each set of 6 miles. Choice C (6 hours) is incorrect as it assumes each set of 6 miles took the same amount of time, which is not the case. Choice D (7 hours) is incorrect as it overestimates the total time taken.

Correct Answer: B

Rationale: To calculate speed, use the formula: speed = distance/time. In this case, the car traveled 240 miles in 4 hours. Therefore, speed = 240 miles / 4 hours = 60 mph. Choice B is correct as it represents the calculated speed accurately. Choice A (50 mph) is too low, Choice C (55 mph) is close but not accurate, and Choice D (75 mph) is too high based on the calculation.

Correct Answer: A

Rationale: To convert yards to inches, we know that 1 yard is equal to 36 inches. Therefore, 1.5 yards would be 1.5 x 36 = 54 inches. The correct answer is A (54 inches). Option B, 60 inches, is incorrect because it does not accurately convert 1.5 yards to inches. Option C, 72 inches, and option D, 84 inches, are also incorrect as they do not correctly represent the conversion from yards to inches in this scenario.

Correct Answer: C

Rationale: Rationale: To find an equivalent expression for 5i, we can rewrite it as 5√-1. This is because i represents √-1. Therefore, 5i is equivalent to 5 times the imaginary unit, which simplifies to 5√-1. Choice A is incorrect as it represents the negative of 5 and not an imaginary unit. Choice B, i^5, is incorrect as it represents i raised to the power of 5 and not the equivalent of 5i. Choice D, 1/5i, is incorrect as it represents the reciprocal of 5i and not the equivalent value itself.

Correct Answer: A

Rationale: To convert millimeters to meters, we divide by 1000 since there are 1000 millimeters in a meter. Therefore, 3000 millimeters divided by 1000 equals 3 meters. Choice A is correct. Choices B, C, and D are incorrect because they do not correctly convert millimeters to meters. Choice B is 30 times the correct answer, choice C is 10 times less, and choice D is 100 times more.