HESI A2 Math Practice Exam

Correct Answer: B

Rationale: To calculate the percentage Jill saved, we divide the amount saved ($140) by her total earnings ($400) and multiply by 100. So, (140/400) * 100 = 35%. Choice B is correct as it accurately represents the percentage of earnings saved. Choice A (30%) is incorrect because it's lower than the actual percentage saved. Choice C (40%) is incorrect because it's higher than the actual percentage saved. Choice D (25%) is also incorrect because it's lower than the actual percentage saved.

Correct Answer: C

Rationale: To evaluate the expression 3a^2 - 2ab + b^2 with a = 2 and b = -3: 1. Substitute a = 2, b = -3: 3(2)^2 - 2(2)(-3) + (-3)^2 2. Simplify: 3(4) + 12 + 9 = 12 + 12 + 9 = 33 Therefore, the correct answer is C (33). Other choices are incorrect because they do not yield the correct result when substituting a = 2 and b = -3.

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: A

Rationale: The correct answer is A: 1,760 yards in a mile. This is because 1 mile is equal to 1,760 yards. To convert miles to yards, you multiply the number of miles by 1,760. The other choices (B, C, D) are incorrect as they do not represent the accurate conversion factor for miles to yards. Option B (1,700) is too low, option C (1,800) is too high, and option D (1,750) is also incorrect. Therefore, the correct answer is A, 1,760 yards in a mile.

Correct Answer: A

Rationale: To find the number that 44 is 25% of, we divide 44 by 0.25 (which is 25% expressed as a decimal). 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Option A (176) is the correct answer. Option B (150), C (180), and D (120) are incorrect as they do not result in 44 when multiplied by 0.25.