HESI A2
HESI A2 Quizlet Math Questions
Question 1 of 9
How many meters are in 5 kilometers?
Correct Answer: B
Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.
Question 2 of 9
What percentage of 40 is 8?
Correct Answer: C
Rationale: To find the percentage of 8 in 40, divide 8 by 40 to get 0.2. Multiply this result by 100 to convert it to a percentage: 0.2 100 = 10%. Therefore, 8 is 10% of 40, making choice C the correct answer. Choices A, B, and D are incorrect percentages calculated from incorrect divisions and multiplications.
Question 3 of 9
Calculate the product of the following decimals: (0.67)(0.09)
Correct Answer: A
Rationale: To multiply decimals, align the numbers as whole numbers, multiply as if they were whole numbers, then adjust the decimal point in the final answer. When multiplying 0.67 by 0.09, the result is 0.0603. To get this result, multiply 67 by 9 to get 603, then adjust the decimal point two places to the left in the final product, resulting in 0.0603. Choice B, 0.6, is incorrect because it does not account for the decimal precision in the multiplication. Choice C, 0.603, is incorrect as it has the digits reversed when compared to the correct answer. Choice D, 0.06, is incorrect as it does not reflect the correct product of the two decimals being multiplied.
Question 4 of 9
The physician orders 60 mg of Augmentin; 80 mg/mL is on hand. How many milliliters will you give?
Correct Answer: C
Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg · 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.
Question 5 of 9
The recipe called for 3 1/2 pints of sour cream. How many cups of sour cream would that be equivalent to?
Correct Answer: B
Rationale: To convert 3 1/2 pints of sour cream to cups, knowing that 1 pint equals 2 cups, we multiply 3.5 by 2, resulting in 7 cups. Therefore, the equivalent amount of sour cream in cups is 7 cups. Choice A is incorrect as it does not consider the correct conversion factor. Choice C is incorrect as it does not account for the accurate conversion from pints to cups. Choice D is incorrect as it underestimates the conversion by not multiplying the pints by the correct factor.
Question 6 of 9
Sarah had 1 quart of milk. How many ounces of milk is that?
Correct Answer: C
Rationale: The correct answer is 32 ounces. One quart is equivalent to 32 ounces. To convert quarts to ounces, you need to know that 1 quart equals 32 ounces. Therefore, 1 quart of milk is equal to 32 ounces. Choices A, B, and D are incorrect as they do not accurately convert 1 quart to ounces.
Question 7 of 9
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?
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.
Question 8 of 9
What is the result of dividing 40.3 by 4.8?
Correct Answer: D
Rationale: When dividing 40.3 by 4.8, the correct result is approximately 8.4. To obtain this result, you can perform the division 40.3 · 4.8 = 8.395833... which rounds to 8.4. The other choices, A, B, and C, are incorrect. Choice A, 0.084, is incorrect as it is not the result of the division provided. Choice B, 84, is incorrect as it is the result of multiplying 40.3 and 4.8 instead of dividing them. Choice C, 0.84, is incorrect as it is not the correct result when dividing 40.3 by 4.8. It is crucial for individuals in various professions to be precise in mathematical calculations for tasks such as accurate medication administration and dosage measurements. Therefore, the correct answer is D, 8.4.
Question 9 of 9
What is the cost of building a fence around a square lawn with an area of 62,500 square meters at a rate of $5 per meter?
Correct Answer: C
Rationale: To determine the cost of building a fence around the square lawn, first calculate the length of one side by finding the square root of the area: √62500 = 250 meters (length of one side). The perimeter of a square is four times the length of one side, so the perimeter of the lawn is 4 * 250 = 1000 meters. To find the cost of the fence, multiply the perimeter by the cost per meter: 1000 meters * $5/meter = $5000. Therefore, the correct answer is $5,000, which corresponds to choice C. Choice A ($4,000), choice B ($4,500), and choice D ($5,500) are incorrect as they do not accurately calculate the cost based on the given information.