HESI A2 Math Exams — HESI A2 Practice Test Math
Answer: C
The metric system of measurement is based on the multiplication factor of 10.
The metric system utilizes a base of 10 for its units of measurement, allowing for easy conversion and calculation.
A) The length of Napoleon's forearm
This option is incorrect as the metric system is not based on arbitrary physical measurements related to individuals. Instead, it is founded on systematic principles that facilitate standardization across various scientific and practical applications.
B) 2
Option B is incorrect because the metric system does not operate on a binary multiplication factor. The system's design emphasizes decimal-based calculations, which are not compatible with a factor of 2.
C) 10
This is the correct answer. The metric system is fundamentally based on powers of 10, making it straightforward to convert between different units by simply shifting the decimal point.
D) Atomic weight of helium
This option is incorrect as the metric system does not depend on atomic weights or any specific element. Its foundation is rooted in a consistent decimal structure, which is independent of chemical properties.
Conclusion
The metric system's reliance on a multiplication factor of 10 is essential for its functionality and ease of use. Options A, B, and D fail to align with the core principles of the metric system, which emphasizes a systematic, decimal-based approach to measurement. Thus, option C stands out as the definitive answer.
2. Convert the military time 0056 to 12-hour time.
Answer: B
12:56 A.M.
The time 0056 in military format converts to 12:56 A.M. in 12-hour format, indicating the early morning hours just before 1 A.M.
A) 12:56 P.M.
This option is incorrect because 12:56 P.M. refers to noon, which does not correspond to the military time 0056. Military time from 0000 to 1159 represents morning hours, while P.M. hours start from 1200.
B) 12:56 A.M.
This option is correct as 0056 in military time translates to 12:56 A.M. in 12-hour time. Military time numbers from 0000 to 0059 represent the minutes after midnight, confirming that it is indeed early morning.
C) 1:56 A.M.
This option is incorrect because 1:56 A.M. would correspond to a military time of 0156. The military time 0056 clearly indicates 12:56 A.M., not 1:56 A.M.
D) 1:56 P.M.
This option is incorrect as well since 1:56 P.M. would be represented by 1316 in military time. The military time 0056 does not reach the P.M. hours, as it falls within the early morning.
Conclusion
The correct conversion of 0056 to 12-hour time is 12:56 A.M., which accurately reflects the early morning hours. All other options either misrepresent the conversion or fall outside the correct time range, confirming that B is the only valid answer.
3. Round to the nearest whole number. Change the fraction to a percent: 2/9
Answer: D
22%
To convert the fraction 2/9 to a percent, you multiply it by 100, resulting in approximately 22.22%. When rounded to the nearest whole number, this value is 22%.
A) 20%
This option is incorrect because 20% represents the value of 2/10, which is significantly less than 2/9. Thus, it does not accurately reflect the conversion of the fraction to a percent.
B) 21%
This option is also incorrect. The percentage of 2/9 is actually greater than 21%, as 2/9 approximately equals 22.22%. Therefore, 21% underestimates the value.
C) 23%
This choice is incorrect because it overestimates the value of 2/9. The actual percent conversion is approximately 22.22%, which is less than 23%.
D) 22%
This option is correct as it closely approximates the value of 2/9 when converted to a percentage. Rounding 22.22% to the nearest whole number results in 22%.
Conclusion
The choice of 22% accurately represents the conversion of the fraction 2/9 to a percent, as it is the nearest whole number to the calculated value. The other options either underestimate or overestimate the correct percentage, making them invalid choices in this context.
4. Change 0.26 to a fraction =
Answer: B
0.26 can be expressed as the fraction 13/50.
To convert 0.26 into a fraction, it is equivalent to 26/100, which simplifies to 13/50.
A) 7/8
The fraction 7/8 is equivalent to 0.875, which is significantly greater than 0.26. Therefore, this option is incorrect.
B) 13/50
This option correctly represents 0.26 when simplified. When 26 is divided by 100, it reduces to 13/50, making this the correct answer.
C) 26/100
While 26/100 is a valid fraction representation of 0.26, it is not in its simplest form. Simplifying this yields 13/50, which is a more concise representation.
D) 2 6/10
The mixed number 2 6/10 equals 2.6, which is greater than 0.26. Hence, this option does not accurately represent the decimal.
Conclusion
The fraction 13/50 is the simplest form of the decimal 0.26, confirming its correctness as the answer. Other options either represent different values or fail to simplify correctly, reinforcing that 13/50 is the definitive representation of 0.26.
5. What is the result of adding 6, 12.55, and 5.022 together?
Answer: B
The result of adding 6, 12.55, and 5.022 together is 23.572.
Adding the numbers 6, 12.55, and 5.022 yields a total of 23.572.
A) 18.55
This option is incorrect because it does not account for all three numbers being added together. The sum of 6 and 12.55 alone exceeds this amount, indicating a miscalculation.
B) 23.572
This option is correct as it accurately represents the sum of the numbers 6, 12.55, and 5.022. When calculated, the total is indeed 23.572.
C) 30.025
This option is incorrect because it suggests a total that is significantly higher than the actual sum. The addition of the three specified numbers does not reach this figure.
D) 16.575
This option is also incorrect as it underestimates the total sum of the numbers. The addition of 6, 12.55, and 5.022 results in a number much larger than 16.575.
Conclusion
The correct answer, 23.572, accurately reflects the sum of the numbers given in the question. All other options fail to represent the true total, either by being too low or too high, demonstrating a misunderstanding of basic addition.
6. What is the result of dividing 18.104 by 0.002?
Answer: A
The result of dividing 18.104 by 0.002 is 9052.
Dividing 18.104 by 0.002 yields 9052, as the calculation involves determining how many times 0.002 fits into 18.104.
A) 9052
This option is correct because when performing the division 18.104 ÷ 0.002, the result is indeed 9052. This can be verified by converting the division into a multiplication problem: 18.104 is the same as 18.104 × 500, which equals 9052.
B) 0.09052
This option is incorrect because it represents a much smaller value than the result of the division. Dividing 18.104 by 0.002 does not yield a decimal in the hundred-thousandths place, but rather a whole number.
C) 9.052
This option is also incorrect. While it is a plausible result for a different division, 9.052 does not accurately represent the outcome of dividing 18.104 by 0.002. The actual result is significantly larger.
D) 9.52
This option is incorrect as well. Similar to option C, 9.52 is not a correct outcome of the division. It represents a value much lower than what is expected from the given numbers in the division.
Conclusion
The calculation confirms that the correct answer is 9052, as it accurately reflects the division of 18.104 by 0.002. All other options fail to represent the correct mathematical outcome, demonstrating a misunderstanding of division and the magnitude of the numbers involved.
Answer: A
The probability of rolling an even number is 5/6.
With the numbers on the die being 4, 9, 12, 16, 20, and 24, there are five even numbers (4, 12, 16, 20, 24) out of a total of six possible outcomes. This results in a probability of 5/6 for rolling an even number.
A) 5/6
This option correctly identifies the probability of rolling an even number. There are five even numbers (4, 12, 16, 20, 24) on the die, leading to a probability of 5 favorable outcomes out of 6 possible outcomes.
B) 3/4
This option is incorrect because it suggests that there are three even numbers out of four possible outcomes. However, there are actually five even numbers on the die, making this probability inaccurate.
C) 2/3
This option is also incorrect as it implies there are two even numbers out of three outcomes. Given that the die has six sides with five even numbers, this probability does not reflect the actual situation.
D) 1/3
This option is incorrect because it indicates that there is only one even number among three possible outcomes. This misrepresents the actual count of even numbers on the die, which is five out of six.
Conclusion
The probability of rolling an even number, represented by the option 5/6, accurately reflects the favorable outcomes compared to the total possible outcomes. All other options fail to represent the correct ratio of even numbers to total numbers on the die, demonstrating a misunderstanding of the basic principles of probability.
8. Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
Answer: A
1132
11:32 A.M. in Military time is represented as 1132. This format eliminates the need for A.M. or P.M. designations by using a 24-hour clock system.
A) 1132
This option is correct as it accurately reflects the conversion of 11:32 A.M. to Military time format. In Military time, the hours from 1 A.M. to 11 A.M. remain the same, and thus, 11:32 A.M. is simply represented as 1132.
B) 1232
This option is incorrect. 1232 represents 12:32 P.M. in Military time, which is not applicable to the 11:32 A.M. time being converted.
C) 1032
This option is incorrect as well. 1032 in Military time corresponds to 10:32 A.M., which does not match the original time of 11:32 A.M.
D) 1112
This option is also incorrect. 1112 in Military time indicates 11:12 A.M., which differs from the specified time of 11:32 A.M.
Conclusion
The conversion of 11:32 A.M. to Military time is definitively 1132, as it directly corresponds to the 24-hour clock representation of morning hours. All other options fail to represent the correct time and instead indicate different hours.
Answer: C
5.9
The result of subtracting 9.8 from 15.7 is 5.9, which signifies the correct calculation performed in this operation.
A) 6.1
Option A is incorrect as it suggests a result that is higher than the correct calculation. When 9.8 is subtracted from 15.7, the difference is less than 6.1, making this choice invalid.
B) 8.96
Option B is also incorrect because it presents a result that is not aligned with the subtraction of the two given numbers. The value of 8.96 is greater than the accurate difference, indicating a miscalculation.
C) 5.9
This option is correct as it accurately reflects the result of the subtraction operation. By performing the calculation, 15.7 - 9.8 equates to exactly 5.9, confirming the accuracy of this choice.
D) 4.3
Option D is incorrect, as it underestimates the difference between the two numbers. The result of 4.3 does not correspond to the actual calculation, which yields a higher value.
Conclusion
The correct answer, 5.9, accurately represents the result of the subtraction operation, while all other options fail to reflect the proper calculation. Each of the incorrect choices suggests values that either exceed or fall short of the true difference, underscoring the importance of precise arithmetic.
Answer: C
2/3 x 3/5 = 2/5
Multiplying the fractions 2/3 and 3/5 results in 2/5. This is achieved by multiplying the numerators together and the denominators together, leading to the calculation (2 x 3) / (3 x 5).
A) 3/4
Option A is incorrect because 3/4 does not represent the result of multiplying 2/3 by 3/5. The multiplication of these fractions yields a smaller value, as both fractions are less than 1.
B) 1/3
Option B is incorrect as well; 1/3 does not correspond to the product of 2/3 and 3/5. The actual multiplication gives a different value than what is represented by this option.
C) 2/5
Option C is correct because it accurately reflects the result of the multiplication of 2/3 and 3/5. The calculation leads to (2 x 3) / (3 x 5) = 6/15, which simplifies to 2/5.
D) 11/9
Option D is incorrect since 11/9 is greater than 1 and does not relate to the multiplication of two fractions that are both less than 1. The result of 2/3 multiplied by 3/5 cannot exceed 1.
Conclusion
The choice of 2/5 is confirmed as the correct answer due to the proper application of fraction multiplication rules, which yield a product that simplifies correctly. All other options do not meet the criteria for the result of this mathematical operation, demonstrating an understanding of fraction multiplication and simplification.