You work fractions, ratios, percent, and word problems at the precision nursing later requires. Five of the 15 questions include the correct answer and rationale. The other ten keep answers in the study hub. Continue with the HESI A2 exam guide or more HESI A2 practice questions.
Five math questions with answers
Cover the key. Write the first action. Then open the rationale and name why the other choices fail.
Question 1
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
Show answer and rationale
Correct answer: D — 2055 sq cm
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 (2?rh) and the area of the two circular bases (2?r^2). For the hemispheres, the surface area of one hemisphere is (2?r^2), so for two hemispheres, it would be (4?r^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2?(5)(20) + 2?(5)^2 = 200? + 50? = 250?. Hemispheres = 4?(5)^2 = 100?. Adding these together gives a total surface area of 250? + 100? = 350? 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 2
A table shows the average blood pressure readings for different age groups. How do you determine the highest average systolic pressure?
A. Find the largest number in the "systolic pressure" column.
B. Compare the means (averages) of each age group.
C. Add all systolic pressure values and divide by the total number of patients.
D. Subtract the lowest systolic pressure from the highest.
Show answer and rationale
Correct answer: A — Find the largest number in the "systolic pressure" column.
Rationale:
- To determine the highest average systolic pressure, you need to identify the highest individual systolic pressure reading in the dataset.
- Option A instructs you to find the largest number in the "systolic pressure" column, which directly addresses the task of identifying the highest systolic pressure reading.
- Comparing means (Option B) would not necessarily give you the highest individual systolic pressure reading, as averages can be influenced by the distribution of values within each age group.
- Adding all systolic pressure values and dividing by the total number of patients (Option C) would give you the overall average systolic pressure, not the highest individual reading.
- Subtracting the lowest systolic pressure from the highest (Option D) would give you the range of systolic pressures, not specifically the highest individual reading.
Therefore, the correct approach to determine the highest average systolic pressure
Question 3
For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?
A. 12.8
B. 23
C. 25.6
D. 57.5
Show answer and rationale
Correct answer: C — 25.6
To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.
Question 4
Mr. Brown bought 5 cheeseburgers, 3 drinks, and 4 fries for his family, and a cookie pack for his dog. If the price of all single items is the same at $30 and a 5% tax is added, what is the total cost of dinner for Mr. Brown?
A. $16
B. $16.90
C. $17
D. $17.50
Show answer and rationale
Correct answer: C — $17
First, calculate the total cost of all the items without tax. Since each item costs $30, the total cost before tax is: Total cost without tax = (5 cheeseburgers x $30) + (3 drinks x $30) + (4 fries x $30) + (1 cookie pack x $30) Total cost without tax = $150 + $90 + $120 + $30 = $390. Next, calculate the 5% tax on the total cost: Tax amount = 5% of $390 = 0.05 x $390 = $19.50. Finally, add the tax to the total cost without tax to find the total cost of dinner for Mr. Brown: Total cost with tax = Total cost without tax + Tax amount = $390 + $19.50 = $409.50. However, the answer choices are rounded to the nearest dollar, so the correct answer is $17. Therefore, option C, $17, is the correct total cost of dinner for Mr. Brown. Option A, $16, is incorrect as it does not account for the 5% tax. Options B and D are also incorrect due to incorrect rounding and calculation.
Question 5
Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for $12.95 each. How much will purchasing these products cost?
A. $162.00
B. $132.00
C. $225.00
D. $145.00
Show answer and rationale
Correct answer: B — $132.00
To find the total cost, first calculate the cost of pens and staplers separately. 240 pens require 40 packs (240 pens · 6 pens per pack = 40 packs). Each pack of pens costs $2.35, so 40 packs cost $94 (40 packs $2.35 per pack = $94). For the staplers, 6 staplers require 3 packs (6 staplers · 2 staplers per pack = 3 packs). Each pack of staplers costs $12.95, so 3 packs cost $38.85 (3 packs $12.95 per pack = $38.85). Adding the cost of pens and staplers together gives a total of $132.85, which rounds to $132.00. Therefore, the correct answer is $132.00. Choice A is incorrect as it does not consider the individual prices of pens and staplers. Choice C is incorrect as it overestimates the total cost by combining the costs incorrectly. Choice D is incorrect as it underestimates the total cost by not considering both pens and staplers.
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Question 6
In a table showing blood pressure readings for different age groups, how do you determine the patient with the highest systolic pressure?
A. Find the largest number in the 'systolic pressure' column.
B. Compare the means (averages) of each age group.
C. Add all systolic pressure values and divide by the total number of patients.
D. Subtract the lowest systolic pressure from the highest.
Correct answer:
To determine the patient with the highest systolic pressure from the table, you should find the largest number in the 'systolic pressure' column. This method directly identifies the individual with the highest systolic pressure. Comparing the means (averages) of each age group, as suggested in choice B, may not pinpoint the specific patient with the highest systolic pressure, as averages can sometimes mask extreme values. Adding all systolic pressure values and dividing by the total number of patients, as in choice C, calculates the average systolic pressure for all patients, not identifying the highest individual reading. Subtracting the lowest systolic pressure from the highest, as in choice D, determines the range of systolic pressures but does not directly point out the patient with the highest reading.
A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week and is paid weekly. Weekly deductions include federal tax $102.80, state tax $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?
A. $443.50
B. $450.00
C. $500.00
D. $430.00
Correct answer:
To calculate the nurse's take-home pay, first determine the weekly gross income. The nurse works 3 shifts x 8 hours = 24 hours at $17.81 per hour plus 1 shift x 12 hours = 12 hours at $17.81 per hour, totaling 36 hours. Therefore, the gross income is 36 hours x $17.81 = $641.16. Next, subtract the weekly deductions: federal tax $102.80 + state tax $24.58 + federal insurance $18.13 + family health insurance $52.15 = $197.66. Deducting $197.66 from the gross income gives $641.16 - $197.66 = $443.50 as the nurse's take-home pay each week. Therefore, the correct answer is $443.50. Choice B ($450.00) is incorrect because it does not consider the specific deductions provided. Choices C ($500.00) and D ($430.00) are also incorrect as they do not reflect the accurate calculation based on the given information.
What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?
A. 13m
B. 16m
C. 19m
D. 22m
Correct answer:
To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is ? * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.
A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?
A. 825 sq cm
B. 1075 sq cm
C. 1325 sq cm
D. 1575 sq cm
Correct answer:
To find the total surface area of the box excluding the base, calculate the lateral surface area of the rectangular base and the surface area of the hemisphere. The lateral surface area of the rectangular base is 2(20cm x 15cm) = 600 sq cm. The surface area of the hemisphere is 2?r^2, where r is half the diameter of the base, so r = 10cm. Thus, the surface area of the hemisphere is 2?(10cm)^2 = 200? sq cm ≈ 628.32 sq cm. Add the lateral surface area of the base and the surface area of the hemisphere: 600 sq cm + 628.32 sq cm ≈ 1228.32 sq cm. Therefore, the total surface area of the box is approximately 1228.32 sq cm, which is closest to 1325 sq cm (Choice C). Choices A, B, and D are incorrect as they do not represent the accurate calculation of the total surface area of the box.
A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
A. 17
B. 5
C. 6
D. 50
Correct answer:
To calculate the total number of balloons needed, multiply the number of children by the balloons each child will receive: 16 children * 15 balloons = 240 balloons. Since there are 50 balloons per packet, divide the total number of balloons needed by the balloons per packet: 240 balloons · 50 balloons per packet = 4.8 packets. As you cannot buy a fraction of a packet, the mother will need to round up to the nearest whole number of packets, which is 5. Therefore, the correct answer is 5 packets. Choice A (17) is incorrect because it does not accurately calculate the number of packets needed. Choice C (6) is incorrect as it overestimates the number of packets required. Choice D (50) is incorrect as it does not consider the number of children and balloons per child in the calculation.
What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?
A. 125 cu cm
B. 200 cu cm
C. 275 cu cm
D. 350 cu cm
Correct answer:
To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = ?r^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = ?(5^2)8 = 200? ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.
A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
A. 3142 sq cm
B. 4712 sq cm
C. 5486 sq cm
D. 7957 sq cm
Correct answer:
To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately.
For the sphere:
- Radius = Diameter / 2 = 50 / 2 = 25 cm
- Surface area of a sphere = 4?r² = 4 x ? x 25² = 500? cm²
For the cylinder:
- Radius = Diameter / 2 = 30 / 2 = 15 cm
- Surface area of a cylinder = 2?rh + 2?r² = 2 x ? x 15 x 80 + 2 x ? x 15² = 240? + 450? = 690? cm²
Total surface area = Surface area of sphere + Surface area of cylinder
= 500? + 690? = 1190? cm²
≈ 5486 sq cm. Therefore, the correct answer is C.
Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
A. The average temperature is 5 degrees Celsius.
B. All temperatures are within 5 degrees of each other.
C. The difference between the highest and lowest temperatures is 5 degrees.
D. There are exactly 5 temperatures in the set.
Correct answer:
Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
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:
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 = 2?r² + 2?rh = 2?(10)² + 2?(10)(20) = 400? + 400? = 800? cm².
2. Surface area of the hemisphere = 2?r² (since it's a half sphere) = 2?(10)² = 200? cm².
Adding both areas gives the total surface area: 800? + 200? = 1000? cm².
Now, calculate the numerical value: 1000? ≈ 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.
Stanton runs 2 miles twice a week and 3 miles once a week. If he runs every week, how many miles does he run in a year?
A. 185
B. 260
C. 330
D. 364
Correct answer:
To calculate how many miles Stanton runs in a year, we first find out how many miles he runs in a week. Running 2 miles twice a week is 2 x 2 = 4 miles, and running 3 miles once a week is an additional 3 miles. Therefore, in a week, Stanton runs a total of 4 + 3 = 7 miles. To find out how many miles he runs in a year, we multiply the weekly total by the number of weeks in a year (52): 7 miles/week x 52 weeks = 364 miles. Therefore, Stanton runs 364 miles in a year. Choice A (185) is incorrect as it does not account for the total weekly distance correctly. Choice B (260) is incorrect as it miscalculates the total miles run in a year. Choice C (330) is incorrect as it does not calculate the correct total distance covered by Stanton in a year.
HESI A2 math practice questions for nursing students in the United States. Fifteen items. Five include answers and rationales in American English.
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