HESI A2
HESI A2 Practice Test Math
1. How many centimeters are in 1 foot?
- A. 30.48
- B. 35
- C. 25
- D. 40
Correct answer: A
Rationale: The correct answer is A, which is 30.48. To convert inches to feet, since there are 12 inches in a foot, you need to multiply the conversion factor from inches to centimeters (2.54 cm) by the number of inches in a foot (12). This gives 30.48 cm in 1 foot. Choice B, 35, is incorrect as it does not follow the correct conversion. Choices C and D, 25 and 40 respectively, are also incorrect conversions and do not align with the conversion factors provided in the question.
2. You need to repaint a cylindrical water tank with a diameter of 2 meters and a height of 3 meters. Assuming one can of paint covers 10 sq m, how many cans do you need to cover only the exterior surface?
- A. 6 cans
- B. 9 cans
- C. 12 cans
- D. 15 cans
Correct answer: C
Rationale: To find the surface area of the cylinder, calculate the lateral surface area using the formula 2πrh, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get 2 * π * 1 * 3 = 6π square meters. Since each can covers 10 sq m, divide the total surface area by the coverage area per can: 6π / 10 ≈ 1.9 cans. Since you can't buy a fraction of a can, you would need to round up, so you would need 2 cans to cover the entire exterior surface. Therefore, you would need 2 * 6 = 12 cans in total. Choices A, B, and D are incorrect as they do not consider the correct surface area calculation or the rounding up to the nearest whole number of cans required.
3. Temperature Conversion & Interpretation: A patient's body temperature is 102°F. Convert this to °C and assess if it indicates a fever.
- A. 37�C (Normal)
- B. 39�C (Low-grade fever)
- C. 39�C (Fever)
- D. 42�C (Hyperthermia)
Correct answer: C
Rationale: Rationale: 1. To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9. 2. Given that the patient's body temperature is 102°F, we can calculate the equivalent temperature in Celsius: °C = (102 - 32) x 5/9 °C = 70 x 5/9 °C = 350/9 °C ≈ 38.9°C, which can be rounded to 39°C. 3. A body temperature of 39°C is considered to indicate a fever. Normal body temperature typically ranges from 36.1°C to 37.2°C, so a temperature of 39°C is higher than the normal range and suggests a fever. 4. Options A and B are incorrect as they do not reflect the conversion of 102°F to °C
4. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?
- 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, we need to calculate the surface area of the cylindrical body and both hemispherical ends separately. The surface area of the cylinder is the sum of the lateral surface area (2πrh) and the area of the two circular bases (2πr^2). For the hemispheres, the surface area of one hemisphere is (2πr^2), so for two hemispheres, it would be (4πr^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2π(5)(20) + 2π(5)^2 = 200π + 50π = 250π. Hemispheres = 4π(5)^2 = 100π. Adding these together gives a total surface area of 250π + 100π = 350π cm^2, which is approximately equal to 2055 sq cm. Therefore, the correct answer is D. Choice A (785 sq cm) is incorrect as it is significantly lower than the correct calculation. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not reflect the accurate surface area calculation for the given dimensions.
5. A man is reading a book with 798 pages. If he reads 2 chapters a day and each chapter has 6 pages, how many days will it take him to finish the book?
- A. 133 days
- B. 399 days
- C. 66.5 days
- D. 75 days
Correct answer: C
Rationale: To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 ÷ 6 = 133 chapters. Reading 2 chapters per day means it will take 133 ÷ 2 = 66.5 days. Choice A, 133 days, is incorrect because it miscalculates the days needed to finish the book. Choice B, 399 days, is incorrect as it doesn't consider the number of chapters read per day. Choice D, 75 days, is incorrect as it doesn't account for the total number of chapters in the book.
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