HESI A2 Math Practice

Correct Answer: A

Rationale: To subtract 2 5\8 - 7\8, first convert both mixed numbers to improper fractions: 2 5\8 = 21\8 and 7\8 = 7\8. Then, subtract the fractions: 21\8 - 7\8 = 14\8 = 1 & 6\8. Finally, simplify the mixed number to 1 & 5\8. Choice A is correct because after subtracting, the result simplifies to 1 & 5\8. Choices B, C, and D are incorrect as they do not represent the correct result of the subtraction calculation.

Correct Answer: A

Rationale: To multiply fractions, multiply the numerators (top numbers) and denominators (bottom numbers) separately. So, 3/4 * 1/3 = (3*1) / (4*3) = 3/12 = 1/4. Therefore, the correct answer is A. Choice B is incorrect because multiplying the numerators and denominators would give 3/12, not 1/3. Choice C is incorrect as the result of multiplying 3/4 and 1/3 is 1/4, not 3/5. Choice D is incorrect as 3/4 * 1/3 is 1/4, not 3/8.

Correct Answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned (2276) by the total miles run (21.4). So, 2276 / 21.4 = 106.4, which is choice B. This calculation gives us the average rate of calories burned per mile. Choices A, C, and D are incorrect as they do not match the calculated value. Therefore, the correct answer is B based on the calculation method.

Correct Answer: A

Rationale: To convert yards to inches, we use the fact that 1 yard is equal to 36 inches. Therefore, to find how many inches are in 3.5 yards, we multiply 3.5 by 36, which equals 126 inches. Choice A (126 inches) is correct. Choices B, C, and D are incorrect as they do not correctly calculate the conversion from yards to inches. B (144 inches) is the result of multiplying 3.5 by 40 instead of 36. C (132 inches) is the result of multiplying 3.5 by 38. D (120 inches) is the result of multiplying 3.5 by 34.

Correct Answer: A

Rationale: To change 0.015 to a fraction, we first identify that the number is in the thousandths place. Therefore, we write it as 15/1000. Then, we simplify by dividing both numerator and denominator by 5 to get the simplest form, which is 3/200. Choice A (3/200) is correct because it is the simplified fraction equivalent to 0.015. Choices B, C, and D are incorrect as they do not represent the correct conversion of the decimal 0.015 to a fraction.