HESI A2
HESI A2 Math 2024
1. 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.
2. What number is 6 equal to 15% of?
- A. 0.9
- B. 40
- C. 80
- D. 90
Correct answer: B
Rationale: To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number. To solve for x, we divide 6 by 0.15, which gives us x = 40. Therefore, 6 is equal to 15% of the number 40. Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15. Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.
3. A team from the highway department can replace 14 streetlights in 7 hours of work. If they work a 30-hour week at this job, in how many weeks will they replace all 120 downtown streetlights?
- A. 1½ weeks
- B. 2 weeks
- C. 2½ weeks
- D. 3 weeks
Correct answer: B
Rationale: If the team can replace 14 streetlights in 7 hours, it means they replace 2 streetlights per hour. In a 30-hour week, they can therefore replace 2 x 30 = 60 streetlights. To replace all 120 downtown streetlights, they will need 120 / 2 = 60 hours, which is equivalent to 60 / 30 = 2 weeks. Therefore, the correct answer is 2 weeks. Choice A, 1½ weeks, is incorrect because it doesn't consider the total number of streetlights that need to be replaced. Choice C, 2½ weeks, is incorrect as it overestimates the time needed. Choice D, 3 weeks, is incorrect as it underestimates the efficiency of the team in replacing streetlights.
4. Convert 2100 to standard time.
- A. 12:00 PM
- B. 2:00 AM
- C. 9:00 PM
- D. 2:00 PM
Correct answer: C
Rationale: Military time is based on a 24-hour clock. To convert 2100 hours to standard time, subtract 1200 from the time if it is greater than or equal to 1300. In this case, 2100 - 1200 = 900, which corresponds to 9:00 PM in standard time. Choice A, 12:00 PM, is incorrect because 2100 is in the evening, not noon. Choice B, 2:00 AM, is incorrect as it represents the early morning hours. Choice D, 2:00 PM, is incorrect as it is in the afternoon, not the evening.
5. What is (12/15) ÷ (3/5) = ?
- A. 1 1/3
- B. 1 2/3
- C. 2 1/3
- D. 1
Correct answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.
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