HESI A2 Math Practice Test 2024

Correct Answer: A

Rationale: The correct answer is A: 19:40. To convert a fraction to a ratio, we simply write the numerator followed by a colon and then the denominator. In this case, 19/40 converts to 19:40. The other choices are incorrect because B switches the positions of the numbers, C simplifies the fraction incorrectly, and D simplifies the fraction to a different ratio. Therefore, the correct answer is A as it accurately represents the ratio of 19 to 40.

Correct Answer: B

Rationale: To change a percentage to a decimal, you divide by 100. In this case, 0.03% divided by 100 equals 0.0003. Therefore, the correct answer is B. Choice A (0.03) is the original percentage value without conversion. Choice C (0.3) is 10 times the correct answer. Choice D (0.003) is 10 times smaller than the correct answer.

Correct Answer: A

Rationale: To find x in the proportion 6:10=24:x, we first calculate the ratio of the given numbers, 6/10=24/x. Simplifying, we get 0.6=24/x. Cross multiplying, we get x=24/0.6=40. Therefore, the correct answer is A. Choice B is incorrect as it does not satisfy the proportion. Choice C is incorrect as it is too large compared to the correct answer. Choice D is incorrect as it is too small compared to the correct answer.

Correct Answer: A

Rationale: To solve 7 1/8 + 2 4/12, first convert 2 4/12 to an improper fraction: 2 4/12 = 2 + 1/3 = 2 1/3 = 7/3. Now, add 7 1/8 and 7/3 by finding a common denominator, which is 24. 7 1/8 = 57/8. Add 57/8 and 7/3 to get 183/24. Simplify 183/24 to 9 11/24, which is the correct answer (A). Choices B, C, D are incorrect as they do not match the calculated result.

Correct Answer: D

Rationale: To find 25% of 400, you multiply 400 by 0.25 (25% as a decimal). So, 400 * 0.25 = 100. Therefore, the correct answer is D. Choice A (800) is incorrect as it is 200% of 400. Choice B (10,000) is incorrect as it is 2500% of 400. Choice C (200) is incorrect as it is 50% of 400.