rogers car gets an average of 25 miles per gallon if his gas tank holds 16 gallons how far can he drive on a full tank
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HESI A2

Practice HESI A2 Math Test

1. Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, how far can he drive on a full tank?

Correct answer: C

Rationale: To calculate the distance Roger can drive on a full tank, multiply the number of gallons in his tank by the average miles per gallon his car gets. 16 gallons x 25 miles per gallon = 400 miles. Therefore, Roger can drive 400 miles on a full tank. Choice A (41 miles) is incorrect as it does not consider the tank's full capacity. Choice B (100 miles) is incorrect as it does not account for the full tank's capacity and the average miles per gallon. Choice D (320 miles) is incorrect as it miscalculates the total distance based on the given information.

2. The physician ordered 10 units of regular insulin, and 200 U/mL are on hand. How many milliliters will you give?

Correct answer: D

Rationale: To calculate the volume of insulin to be given, you can use the formula: Volume (mL) = (Ordered dose in units / Concentration of insulin in units/mL). Substituting the values, Volume (mL) = (10 units / 200 U/mL) = 0.05 mL. Therefore, the correct answer is 0.05 mL. Choices A, B, and C are incorrect because they do not match the calculated volume based on the provided information.

3. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?

Correct answer: C

Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.

4. A patient's oxygen flow rate is set at 4 liters per minute. How many cubic centimeters of oxygen are delivered per minute?

Correct answer: B

Rationale: 1 liter is equal to 1,000 cubic centimeters. Therefore, when the oxygen flow rate is 4 liters per minute, the calculation is 4 x 1,000 = 4,000 cubic centimeters. Hence, at a flow rate of 4 liters per minute, 4,000 cubic centimeters of oxygen are delivered per minute. Choice A, 400 cubic centimeters, is incorrect because it miscalculates the conversion from liters to cubic centimeters. Choices C and D, 40,000 cubic centimeters and 400,000 cubic centimeters, respectively, are significantly higher than the correct answer due to incorrect conversions or additional errors in calculation.

5. Report all decimal places: 3.7 + 7.289 + 4 =

Correct answer: A

Rationale: To find the sum, you add the numbers 3.7, 7.289, and 4 together. 3.7 + 7.289 + 4 equals 14.989. The correct answer is 14.989 because it includes all decimal places from the sum of the numbers provided. Choice B (5.226) is incorrect as it doesn't account for the sum of the given numbers. Choice C (15.0) is incorrect as it rounds the sum to the nearest whole number, losing the decimal precision. Choice D (5.012) is incorrect as it doesn't reflect the correct sum of the decimal numbers.

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