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HESI A2

HESI A2 Math Practice

1. Multiply: 3/4 × 1/3.

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. In this case, 3/4 × 1/3 = (3 × 1) / (4 × 3) = 3/12 = 1/4. Therefore, the correct answer is A: 1/4. Choices B (1/3), C (3/5), and D (3/8) are incorrect because they do not result from the correct multiplication of the given fractions.

2. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?

Correct answer: B

Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.

3. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?

Correct answer: C

Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.

4. What is the numerical value of the Roman numeral XVII?

Correct answer: B

Rationale: The Roman numeral XVII represents the number 17. In Roman numerals, X stands for 10 and V stands for 5. When V (5) is subtracted from X (10), it results in 5 being subtracted from 10, which equals 5. Adding this to V (5) gives the total value of XVII as 17. Choice A is incorrect because it is not the correct numerical value of XVII. Choice C and D are also incorrect as they do not correspond to the Roman numeral XVII.

5. A hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, five phlebotomists, six receptionists and office staff, and 45 physicians. One summer day the staff was at only 68% strength. How many people were working that day?

Correct answer: A

Rationale: To find the total number of staff members, sum up the different roles: 25 (nurses) + 75 (assistants) + 5 (phlebotomists) + 6 (office staff) + 45 (physicians) = 156 total staff. Then, calculate 68% of the total staff: 156 × 0.68 = 106.08, which is approximately 106 people. Therefore, 106 people were working that day. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the accurate calculation based on the given information.

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