HESI A2
HESI A2 Math Practice Exam
1. Which of the following numbers is a perfect square?
- A. 10
- B. 12
- C. 15
- D. 16
Correct answer: D
Rationale: A perfect square is a number obtained by squaring an integer. In this case, 16 is a perfect square because it is the result of squaring 4 (4 x 4 = 16). The other answer choices, 10, 12, and 15, are not the product of squaring any whole number, making them incorrect. Therefore, the correct answer is 16, as it is a perfect square.
2. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 44 lb. How many tablets will you give?
- A. 5 tablets
- B. 5.5 tablets
- C. 4.5 tablets
- D. 3 tablets
Correct answer: A
Rationale: First, convert the child's weight from pounds to kilograms: 44 lb ÷ 2.2 = 20 kg. Next, calculate the required dosage: 20 kg × 20 mg/kg = 400 mg. Since each tablet contains 80 mg, divide the total dosage by the dosage per tablet: 400 mg ÷ 80 mg/tablet = 5 tablets. Therefore, the correct answer is 5 tablets. Choice B is incorrect because it does not account for the actual number of tablets needed. Choice C is incorrect as it is an underestimation of the required tablets. Choice D is incorrect as it is an underestimation of the required tablets.
3. What percentage of her income is left after Mary spent 15%?
- A. 12%
- B. 85%
- C. 75%
- D. 95%
Correct answer: B
Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.
4. How many ounces are in 3/4 pints?
- A. 12 ounces
- B. 16 ounces
- C. 14 ounces
- D. 10 ounces
Correct answer: A
Rationale: To find the number of ounces in 3/4 pints, we need to know that 1 pint is equal to 16 ounces. Therefore, 3/4 of a pint would be 3/4 * 16 = 12 ounces. The correct answer is 12 ounces because 3/4 pints is equivalent to 12 ounces. Choices B, C, and D are incorrect as they do not accurately calculate the conversion from pints to ounces.
5. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?
- A. 42
- B. 63
- C. 84
- D. 168
Correct answer: C
Rationale: Rationale: To find the least common multiple (LCM) of 14 and 21, we need to determine the smallest number that is a multiple of both 14 and 21. First, list the multiples of 14: 14, 28, 42, 56, 70, 84, ... Next, list the multiples of 21: 21, 42, 63, 84, ... The smallest number that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42.
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