HESI A2
HESI A2 Math Practice Test
1. A decorative globe has a diameter of 25cm. What is its total surface area?
- A. 1570 sq cm
- B. 1963 sq cm
- C. 2513 sq cm
- D. 3142 sq cm
Correct answer: B
Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.
2. When a gas is compressed isothermally, we can say that:
- A. The gas performs work on the surroundings, and its internal energy increases.
- B. The gas performs work on the surroundings, and its internal energy decreases.
- C. The surroundings perform work on the gas, and its internal energy increases.
- D. The surroundings perform work on the gas, and its internal energy decreases.
Correct answer: D
Rationale: When a gas is compressed isothermally, the surroundings perform work on the gas. In this process, since the temperature remains constant (isothermal), the internal energy of the gas does not change. Therefore, the correct answer is that the surroundings perform work on the gas, and its internal energy decreases. Choices A, B, and C are incorrect because they incorrectly describe the direction of work and the change in internal energy during an isothermal compression.
3. The sebaceous glands are part of which system?
- A. Endocrine system
- B. Digestive system
- C. Respiratory system
- D. Integumentary system
Correct answer: D
Rationale: The sebaceous glands are a component of the integumentary system, which includes the skin, hair, nails, and associated structures. Sebaceous glands are typically found throughout the skin and are responsible for producing an oily substance called sebum, which helps keep the skin and hair lubricated and moisturized. The endocrine system (Choice A) consists of glands that produce hormones, the digestive system (Choice B) is responsible for processing food, and the respiratory system (Choice C) is involved in breathing and gas exchange.
4. Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents each, and the plates were 75 cents each. If Stu paid with a $10 bill, how much change was he owed?
- A. $4
- B. $4.50
- C. $5
- D. $5.50
Correct answer: C
Rationale: Stu purchased 6 cups at 25 cents each, totaling $1.50 (6 cups x $0.25 = $1.50). He also bought 6 plates at 75 cents each, totaling $4.50 (6 plates x $0.75 = $4.50). Therefore, the total cost of the cups and plates is $1.50 + $4.50 = $6. Stu paid with a $10 bill, so the change he was owed is $10 - $6 = $4. Stu was owed $4 in change. The correct answer is $5, not $4 as he was owed that amount. Option A, $4, is incorrect as it miscalculates the change amount. Option B, $4.50, is incorrect as it does not consider the correct total cost. Option D, $5.50, is incorrect as it overestimates the change Stu was owed.
5. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 44 lb. How many tablets will you give?
- A. 5 tablets
- B. 5.5 tablets
- C. 4.5 tablets
- D. 3 tablets
Correct answer: A
Rationale: First, convert the child's weight from pounds to kilograms: 44 lb ÷ 2.2 = 20 kg. Next, calculate the required dosage: 20 kg × 20 mg/kg = 400 mg. Since each tablet contains 80 mg, divide the total dosage by the dosage per tablet: 400 mg ÷ 80 mg/tablet = 5 tablets. Therefore, the correct answer is 5 tablets. Choice B is incorrect because it does not account for the actual number of tablets needed. Choice C is incorrect as it is an underestimation of the required tablets. Choice D is incorrect as it is an underestimation of the required tablets.
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