HESI A2
HESI A2 Math
1. A patient is prescribed 500 mg of medication, but the available tablets are 250 mg each. How many tablets should be given?
- A. 3 tablets
- B. 2 tablets
- C. 4 tablets
- D. 5 tablets
Correct answer: B
Rationale: To find out how many tablets of 250 mg are needed to reach a total of 500 mg, you divide the total prescribed dosage by the dosage per tablet. In this case, 500 mg / 250 mg per tablet = 2 tablets. Therefore, the correct answer is 2 tablets. Choice A (3 tablets) is incorrect because it would exceed the prescribed dosage. Choices C (4 tablets) and D (5 tablets) are incorrect as they would also provide more medication than needed.
2. 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?
- A. 572
- B. 568
- C. 286
- D. 282
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.
3. Change the following fraction into a ratio: 19/40
- A. 19:40
- B. 40:19
- C. 19:4
- D. 40:4
Correct answer: A
Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.
4. How many inches are in 3.5 yards?
- A. 126 inches
- B. 144 inches
- C. 132 inches
- D. 120 inches
Correct answer: A
Rationale: To convert yards to inches, we use the conversion factor that 1 yard is equal to 36 inches. Therefore, 3.5 yards is equal to 3.5 multiplied by 36, which equals 126 inches. The correct answer is 126 inches. Choices B (144 inches), C (132 inches), and D (120 inches) are incorrect because they do not correctly calculate the conversion from yards to inches using the conversion factor of 1 yard equals 36 inches.
5. How many grams are in 6 kilograms?
- A. 600 grams
- B. 6000 grams
- C. 600 grams
- D. 60,000 grams
Correct answer: B
Rationale: There are 1,000 grams in a kilogram. Therefore, to convert kilograms to grams, you need to multiply the number of kilograms by 1,000. In this case, 6 kilograms would be equal to 6 × 1,000 = 6,000 grams. Choices A, C, and D are incorrect because they do not apply the correct conversion factor from kilograms to grams.
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