HESI A2 Math Practice Test 2024

Correct Answer: C

Rationale: To multiply 4/9 by 1 & 4/5 by 2/5, we first multiply the fractions separately. 4/9 x 1 = 4/9, 4/5 x 2/5 = 8/25. Then we multiply the results: 4/9 x 8/25 = (4 x 8) / (9 x 25) = 32 / 225 = 8/25. Therefore, the correct answer is C. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the given fractions.

Correct Answer: C

Rationale: To subtract 12 - 7 & 4\5, first convert 12 to a mixed number: 12 = 11 & 5\5. Then, subtract the whole numbers: 11 - 7 = 4. Next, subtract the fractions: 5\5 - 4\5 = 1\5. Therefore, the correct answer is 4 & 1\5 (Choice C). Choices A, B, and D are incorrect as they do not accurately represent the result of the subtraction calculation.

Correct Answer: A

Rationale: To convert fluid ounces to gallons, we know that 1 gallon is equal to 128 fluid ounces. Therefore, to find out how many gallons are in 3 fluid ounces, we divide 3 by 128 which equals 0.0234 gallons (A). Choice B (0.5 gallons) is way too high for 3 fluid ounces as it is closer to 64 fluid ounces. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect as they do not align with the conversion factor of 1 gallon = 128 fluid ounces.

Correct Answer: B

Rationale: To convert milligrams to grams, divide by 1000 since 1 gram = 1000 milligrams. 150 milligrams ÷ 1000 = 0.15 grams. Therefore, the correct answer is B. Explanation for other choices: A: 0.015 grams = Incorrect, a decimal point is missing. C: 1.5 grams = Incorrect, this would be the result if the milligrams were converted to grams as if they were micrograms. D: 15 grams = Incorrect, this would be the result if the milligrams were mistakenly multiplied by 100 instead of divided by 1000.

Correct Answer: D

Rationale: To solve the proportion 1.2:x=14:42, we first find the ratio of the first pair (1.2:14) by dividing 1.2 by 14 to get 0.0857. Then, we find the ratio of the second pair (x:42) by dividing x by 42, which equals 0.0857. Therefore, x = 42 * 0.0857 = 3. Hence, the correct answer is D. Choice A is incorrect as 1.2 is not equal to 2. Choice B is incorrect as the ratio cannot be 0. Choice C is incorrect as the ratio is not 1.