HESI A2
Practice HESI A2 Math Test
1. A patient's height is 1.65 meters and their weight is 75kg. Calculate their BMI and interpret the result.
- A. 23.1 (Normal)
- B. 25.3 (Overweight)
- C. 27.7 (Overweight)
- D. 32.8 (Obese)
Correct answer: C
Rationale: To calculate BMI, divide weight (75kg) by height squared (1.65m^2) to get BMI (27.7). A BMI of 27.7 falls within the 'overweight' category (25-29.9 BMI). Choice A is incorrect as a BMI of 23.1 would be in the 'normal' range (18.5-24.9 BMI). Choice B is incorrect as 25.3 falls within the 'overweight' category. Choice D is incorrect as 32.8 is in the 'obese' category (>30 BMI). Therefore, the correct answer is C.
2. Jill saved $140 out of the $400 she earned in one month. What percent of her earnings did she save?
- A. 30%
- B. 35%
- C. 40%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage of her earnings that Jill saved, divide the amount saved ($140) by the total earnings ($400) and then multiply by 100 to find the percentage. Therefore, (140/400) * 100 = 35%. Jill saved 35% of her earnings. Choice A (30%) is incorrect because it underestimates the percentage saved. Choice C (40%) is incorrect as it overestimates the percentage saved. Choice D (25%) is incorrect for the same reason. The correct calculation is 140/400 = 0.35 * 100 = 35%.
3. What is the perimeter of a square with a side length of 5 meters?
- A. 15 meters
- B. 20 meters
- C. 25 meters
- D. 30 meters
Correct answer: B
Rationale: The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Given that the side length is 5 meters, the perimeter is 4 * 5 = 20 meters. Therefore, the correct answer is B. Choices A (15 meters), C (25 meters), and D (30 meters) are incorrect as they do not correctly apply the formula to calculate the perimeter of a square.
4. A honeycomb cell has six equal sides, each measuring 8mm. What is its perimeter?
- A. 32mm
- B. 40mm
- C. 48mm
- D. 56mm
Correct answer: C
Rationale: To find the perimeter of a shape with equal sides, you multiply the length of one side by the number of sides. In this case, the honeycomb cell has 6 sides, each measuring 8mm. Therefore, the perimeter is calculated as perimeter = number of sides * side length = 6 * 8mm = 48mm. Choices A, B, and D are incorrect because they do not correctly calculate the total length around the honeycomb cell with six sides.
5. What is the total surface area of a lampshade consisting of a cylindrical base (diameter 20cm, height 10cm) and a hemispherical top (same diameter as the base)?
- A. 785 sq cm
- B. 1130 sq cm
- C. 1570 sq cm
- D. 2055 sq cm
Correct answer: D
Rationale: To find the total surface area of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately. 1. Surface area of the cylinder = 2πr² + 2πrh = 2π(10)² + 2π(10)(20) = 400π + 400π = 800π cm². 2. Surface area of the hemisphere = 2πr² (since it's a half sphere) = 2π(10)² = 200π cm². Adding both areas gives the total surface area: 800π + 200π = 1000π cm². Now, calculate the numerical value: 1000π ≈ 3141.59 cm², which is approximately equal to 2055 cm². Therefore, the correct answer is 2055 sq cm. Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.
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