HESI A2 Math Practice Test 2024

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.

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.

Correct Answer: A

Rationale: To calculate the number of cakes needed, divide the total number of servings needed (70 students + 3 staff) by the number of servings per cake. Total servings needed = 70 + 3 = 73. 73 servings ÷ 24 servings per cake = 3 with a remainder of 1. Since we can't have a fraction of a cake, we need to round up to the nearest whole number. So, we need 4 cakes to ensure there are enough servings for everyone. Therefore, the correct answer is A: 4. Choice B (2) is incorrect because it doesn't provide enough servings for all students and staff members. Choice C (5) is incorrect as it would be an excessive amount of cakes. Choice D (3) is incorrect as it doesn't account for the remaining servings after dividing by 24.

Correct Answer: A

Rationale: To find the total cups of sugar needed for 2.5 batches, we multiply the cups of sugar per batch (1.75) by the number of batches (2.5). 1.75 cups x 2.5 batches = 4.375 cups. Since we can't have a fraction of a cup in reality, we round up to the nearest whole number, which is 4 cups. Therefore, the correct answer is A: 4 cups. Choice B (3 cups) is incorrect as it does not account for the additional half batch. Choice C (5 cups) is incorrect as it overestimates the amount of sugar needed. Choice D (3 cups) is also incorrect as it does not consider the extra half batch.

Correct Answer: A

Rationale: To solve 5 1/3 + 3 1/2, first convert mixed numbers to improper fractions: 5 1/3 = 16/3 and 3 1/2 = 7/2. Then, add the fractions: 16/3 + 7/2 = (32+21)/6 = 53/6. Convert the result back to a mixed number: 53/6 = 8 5/6, which is choice A. Choices B, C, and D are incorrect as they do not represent the correct sum of the given mixed numbers.