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
The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
A. 36 cm
B. 46 cm
C. 51 cm
D. 56 cm
Show answer and rationale
Correct answer: A — 36 cm
Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
Question 2
What is the result of adding 7 2/3 and 5 5/12?
A. 11 1/12
B. 12 1/4
C. 13 1/12
D. 14 1/6
Show answer and rationale
Correct answer: C — 13 1/12
To add mixed numbers, convert them to improper fractions. 7 2/3 = 23/3 and 5 5/12 = 65/12. Adding them results in 233/12. Converting this improper fraction back to a mixed number gives 19 5/12, which simplifies to 13 1/12. Therefore, the correct answer is 13 1/12.\nChoice A (11 1/12) is incorrect as it does not represent the correct sum of the given mixed numbers. Choice B (12 1/4) is incorrect as it is not the result of adding 7 2/3 and 5 5/12. Choice D (14 1/6) is incorrect as it is not the correct sum of the provided mixed numbers.
Question 3
If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?
A. 3 minutes
B. 4 minutes
C. 6 minutes
D. 1.5 minutes
Show answer and rationale
Correct answer: C — 6 minutes
Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.
Question 4
An artist sells paintings at $5.50 each. She has 7 stands and pays $35 per stand. What is her profit if she sells an average of 11 paintings per stand?
A. $245
B. $178.50
C. $175
D. $423.50
Show answer and rationale
Correct answer: B — $178.50
To calculate the profit, first determine the total revenue: 7 stands * 11 paintings per stand * $5.50 per painting = $423.50. Then, subtract the total stand expenses ($35 per stand * 7 stands = $245) from the total revenue to get the profit: $423.50 - $245 = $178.50. Therefore, the correct answer is $178.50. Option A is incorrect because it does not account for the stand expenses. Option C is incorrect as it does not consider the total revenue. Option D is incorrect as it overestimates the profit by not deducting the stand expenses.
Question 5
If 5 nurses can care for 20 patients, how many nurses are needed for 40 patients?
A. 7
B. 8
C. 9
D. 10
Show answer and rationale
Correct answer: B — 8
If 5 nurses can care for 20 patients, it means each nurse is responsible for 20/5 = 4 patients. To care for 40 patients, we divide the total patients by the number of patients each nurse can care for: 40/4 = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Among the options, the closest number is 8 nurses, making it the correct answer. Choice A, 7 nurses, is insufficient. Choice C, 9 nurses, exceeds the required amount. Choice D, 10 nurses, matches the total number of nurses required, not the closest, making it incorrect.
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Question 6
A scientific illustrator uses a scale of 3:1 for drawings of insects. If the length of a cicada in the drawing is 6 centimeters, how long is the actual cicada in real life?
A. 18 centimeters
B. 6.3 centimeters
C. 4.6 centimeters
D. 4.2 centimeters
Correct answer:
The scale of 3:1 means that for every 3 centimeters in the drawing, it represents 1 centimeter in real life. If the length of the cicada in the drawing is 6 centimeters, in real life, it would be 6 x 3 = 18 centimeters long. Therefore, the actual length of the cicada in real life is 18 centimeters. Choice B, 6.3 centimeters, is incorrect because it does not account for the scale factor. Choices C and D, 4.6 centimeters and 4.2 centimeters respectively, are also incorrect as they do not consider the 3:1 scale used in the drawing.
A rancher has a herd of different-colored horses in his corral. Ten of the horses are black, six are brown, eight are two-color horses, and three are all white. What percentage of the horses are brown? (Round to the nearest whole number if necessary).
A. 15%
B. 20%
C. 25%
D. 30%
Correct answer:
To find the percentage of brown horses, first calculate the total number of horses: 10 black + 6 brown + 8 two-color + 3 all white = 27 horses. Then, calculate the percentage of brown horses: (6 · 27) 100 = 22.22%, which rounds to 20%. Choice B, 20%, is the correct answer. Choice A, 15%, is incorrect as it does not reflect the accurate percentage of brown horses. Choice C, 25%, is incorrect as it overestimates the percentage of brown horses. Choice D, 30%, is incorrect as it also overestimates the percentage of brown horses.
Convert this military time to regular time: 2120 hours.
A. 9:20 A.M.
B. 9:20 P.M.
C. 2:12 A.M.
D. 2:12 P.M.
Correct answer:
To convert military time to regular time, subtract 12 from the hours if the time is in the afternoon or evening. In this case, 21 - 12 = 9, so 2120 hours is equivalent to 9:20 P.M. Therefore, the correct answer is option B, 9:20 P.M. Choices A, C, and D are incorrect because they do not correctly adjust the military time to regular time format. Choice A shows 9:20 A.M., which is incorrect as the time is in the evening. Choices C and D show times that are not derived from the given military time, making them incorrect as well.
If an investment earns 5% interest annually, how much interest will it earn in 1 year on a principal of $1,000?
A. $40
B. $50
C. $60
D. $55
Correct answer:
The correct answer is B: $50. To calculate the interest earned on an investment with a 5% interest rate on a principal of $1,000, you simply multiply the principal amount by the interest rate. 5% of $1,000 is $50. Therefore, the investment will earn $50 in interest in 1 year. Choice A, $40, is incorrect because it represents 4% interest instead of 5%. Choice C, $60, is incorrect because it overestimates the interest earned. Choice D, $55, is incorrect as it does not accurately reflect the 5% interest on the principal amount.
If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?
A. 20
B. 40
C. 80
D. 100
Correct answer:
If 20 students are divided into pairs, there would be 10 pairs in total (20 students / 2 = 10 pairs). Since each pair receives 10 pencils, the total number of pencils needed is calculated by multiplying the number of pairs (10 pairs) by the number of pencils each pair receives (10 pencils per pair), resulting in 100 pencils required. Therefore, the correct answer is 100 pencils. Choices A, B, and C are incorrect because they do not consider the correct pairing of students or the total number of pencils needed for each pair.
What is the greatest common factor (GCF) of 12 and 18?
A. 2
B. 3
C. 6
D. 9
Correct answer:
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.
What is the boiling point of water in degrees Fahrenheit?
A. 100°F
B. 200°F
C. 212°F
D. 250°F
Correct answer:
The correct answer is C: '212°F.' The boiling point of water at standard atmospheric pressure is 212°F. This is the temperature at which water transitions from a liquid to a gas phase, known as boiling. It is a fundamental property of water and a crucial point to remember for various applications in science and everyday life. Choice A (100°F) is the boiling point of water in degrees Celsius, not Fahrenheit. Choice B (200°F) and Choice D (250°F) are not correct boiling points for water at standard atmospheric pressure.
If his distribution cost is $10, what will be his profit?
A. $10.40
B. $19.60
C. $14.90
D. $23.40
Correct answer:
To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.
Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
A. 3.6 cups
B. 4 cups
C. 4.6 cups
D. 4.8 cups
Correct answer:
For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.
A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?
A. 12 m by 10 m
B. 6 m by 5 m
C. 5 m by 2 m
D. 4 m by 3 m
Correct answer:
Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.
HESI A2 math practice questions, set 8 for nursing students in the United States. Fifteen items. Five include answers and rationales in American English.
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The first five questions already include the rationale. Start full practice to unlock the remaining keys, missed-question review, and the rest of the bank.
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