HESI A2
HESI A2 Math 2024
1. Divide: 11 ÷ 5 =
- A. 1.424
- B. 1.622
- C. 2.2
- D. 2
Correct answer: C
Rationale: To divide 11 by 5, you need to perform the division operation. 11 divided by 5 equals 2.2. Therefore, the correct answer is C. Choice A (1.424) and Choice B (1.622) are incorrect as they do not result from the division of 11 by 5. Choice D (2) is close but not accurate, as the exact result of 11 divided by 5 is 2.2.
2. How many liters are in 300 milliliters?
- A. 0.3 liters
- B. 3 liters
- C. 0.03 liters
- D. 3.3 liters
Correct answer: A
Rationale: 300 milliliters is equivalent to 0.3 liters. To convert milliliters to liters, you need to move the decimal three places to the left. Therefore, the correct answer is A. Choice B (3 liters) is incorrect as it represents the conversion of 3000 milliliters. Choice C (0.03 liters) is incorrect as it represents the conversion of 30 milliliters. Choice D (3.3 liters) is also incorrect as it is not the correct conversion of 300 milliliters.
3. What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?
- A. 13m
- B. 16m
- C. 19m
- D. 22m
Correct answer: D
Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.
4. Which of these dates is represented by the Roman numeral MMXV?
- A. 2001
- B. 2015
- C. 2051
- D. 2105
Correct answer: B
Rationale: The Roman numeral MMXV represents the year 2015. In Roman numerals, M represents 1000, X represents 10, and V represents 5. Therefore, by converting the Roman numeral MMXV into its numerical equivalent (1000 + 10 + 5), it corresponds to the year 2015. Choice A (2001) is incorrect as it would be represented as MM + I, choice C (2051) would be represented as MM + LI, and choice D (2105) would be represented as MMCV in Roman numerals, making them all inaccurate representations of MMXV.
5. 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.
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