HESI A2 Math Practice

Correct Answer: A

Rationale: To convert 3 quarts to liters, we use the conversion factor 1 quart = 0.946 liters. So, 3 quarts x 0.946 = 2.838 liters, which is rounded to 2.8 liters. Therefore, the correct answer is A (2.8 liters). Option B (3.5 liters) is incorrect as it's not the accurate conversion. Option C (2.5 liters) is lower than the accurate conversion. Option D (4.0 liters) is higher than the accurate conversion.

Correct Answer: A

Rationale: To convert kilograms to grams, we need to multiply by 1000 because there are 1000 grams in a kilogram. Therefore, 7 kilograms x 1000 = 7000 grams. Choice A is correct. Choices B, C, and D are incorrect because they do not correctly convert kilograms to grams. B is too small, C is one decimal place off, and D is too large.

Correct Answer: D

Rationale: The correct answer is D: 7/9. To convert the repeating decimal 0.7777... to a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point gives 10x = 7.7777... Subtracting the original equation from the shifted one eliminates the repeating decimal, giving 9x = 7. Solving for x, we get x = 7/9, hence 0.7777... = 7/9. Choice A, 77/1000, does not represent the repeating nature of the decimal. Choice B, 70/99, is close but not equivalent to 0.7777... Choice C, 777/900, can be simplified to 7/9, making it the correct answer.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face on a six-sided die that shows a 3, so the probability of rolling a 3 is 1 out of 6 possible outcomes (1, 2, 3, 4, 5, 6). To calculate the probability, divide the favorable outcomes (1) by the total possible outcomes (6), which gives 1/6. Summary: B: 1/4 - Incorrect, as there is only one 3 on a six-sided die, not 1 out of 4. C: 1/3 - Incorrect, as the probability of rolling a 3 is 1 out of 6, not 1 out of 3. D: 1/2 - Incorrect, as only one face represents a 3, not half of the faces on a six-sided die.

Correct Answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions: 6 1/2 = 13/2 and 2 2/3 = 8/3. Next, find a common denominator, which is 6. Subtract the fractions: 13/2 - 8/3 = 39/6 - 16/6 = 23/6. Convert the result back to a mixed number: 23/6 = 3 5/6, which is the correct answer (C). The other choices are incorrect because they do not match the result of the subtraction calculation.