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: C

Rationale: The tenths place is the first digit to the right of the decimal point. In the number 743.25, the digit 2 is in the tenths place because it is the first digit to the right of the decimal point. Therefore, the correct answer is C. Explanation for why the other choices are incorrect: - A: 3 is in the units place, not the tenths place. - B: 4 is in the tenths place, not the tenths place. - D: 5 is in the hundredths place, not the tenths place.

Correct Answer: A

Rationale: To find out how much more water is needed, subtract the amount already added (1/3 cup) from the total needed (4/5 cup): 4/5 - 1/3 = (12/15) - (5/15) = 7/15 cups. Therefore, the correct answer is A (7/15 cups). Other choices are incorrect because they do not result from the correct calculation. B is more than the total needed, C is the amount already added, and D is less than the amount needed.

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: C

Rationale: To find the perimeter of the kite, we add up all the sides. Top base = 20cm Bottom base = 30cm Two equal side lengths = 15cm each Perimeter = 20 + 30 + 15 + 15 = 80cm Therefore, the correct answer is C (70cm). Choice A (55cm) is incorrect as it does not consider all the sides of the kite. Choice B (65cm) is incorrect as it does not account for the top and bottom bases. Choice D (80cm) is incorrect as it miscalculates the perimeter by not adding the side lengths correctly.