HESI A2
HESI A2 Math Practice
1. Subtract 5/6 - 3/4.
- A. 1/12
- B. 2/24
- C. 1/2
- D. 1/8
Correct answer: A
Rationale: To subtract fractions, find a common denominator. The common denominator for 6 and 4 is 12. So, 5/6 = 10/12 and 3/4 = 9/12. Subtracting 10/12 - 9/12 gives us 1/12 as the result. Choice A, 1/12, is the correct answer because it represents the simplified result of subtracting the fractions with the common denominator. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result of 1/12 after finding the common denominator.
2. Which numeric system does not use place value?
- A. Roman
- B. Arabic
- C. Decimal
- D. Binary
Correct answer: A
Rationale: The Roman numeric system does not use place value as the Arabic, Decimal, and Binary systems do. In the Roman numeral system, the value of each symbol is independent of its position, unlike in the other systems where the position of a digit affects its value. This unique characteristic of Roman numerals distinguishes them from place-value systems like Arabic, Decimal, and Binary. Therefore, the correct answer is Roman (Choice A). Choices B, C, and D (Arabic, Decimal, and Binary) all utilize place value, where the position of a digit within a number determines its value, unlike Roman numerals.
3. A clinic sees an average of 25 patients every 4 hours. If the clinic is open for 8 hours, how many patients will they see in total?
- A. 35
- B. 50
- C. 75
- D. 200
Correct answer: D
Rationale: Rationale: 1. First, determine how many patients the clinic sees in one hour: 25 patients / 4 hours = 6.25 patients per hour (approximately 6 patients per hour) 2. Since the clinic is open for 8 hours, multiply the number of patients seen per hour by the number of hours the clinic is open: 6.25 patients/hour * 8 hours = 50 patients 3. Therefore, the clinic will see a total of 50 patients in 8 hours, which corresponds to answer choice D) 200.
4. Express the ratio of 13:60 as a percentage.
- A. 19.50%
- B. 21.67%
- C. 25.50%
- D. 31%
Correct answer: B
Rationale: To express the ratio 13:60 as a percentage, calculate the decimal form of the ratio by dividing 13 by 60: 13/60 ≈ 0.2167. Next, convert this decimal to a percentage by multiplying by 100: 0.2167 x 100 = 21.67%. Choice A, 19.50%, is incorrect as it does not accurately represent the ratio. Choice C, 25.50%, and Choice D, 31%, are also incorrect calculations of the percentage equivalent of the ratio 13:60.
5. What is the result of dividing 5 3/4 by 1/2?
- A. 11 & 1/2
- B. 2 & 3/8
- C. 3 & 1/8
- D. 18
Correct answer: A
Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.
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