HESI A2 Math Exams — Math HESI A2 Practice Test
Answer: D
623.04
The multiplication of 88 and 7.08 results in 623.04. This confirms that option D is the correct answer.
A) 862.5
This option is incorrect because 862.5 is significantly higher than the actual product of 88 and 7.08. The calculation does not support this value, as it exceeds the expected range of the result.
B) 88.04
Option B is also incorrect. This value is much lower than the result of multiplying 88 by 7.08, indicating a misunderstanding of the multiplication process involved in this calculation.
C) 64.252
This choice is incorrect as well. The product of 88 and 7.08 should be much larger than 64.252, indicating that this option does not represent the multiplication of these two numbers accurately.
D) 623.04
This is the correct option. The accurate multiplication of 88 by 7.08 indeed equals 623.04, making this the only viable answer among the choices provided.
Conclusion
The correct answer of 623.04 is clearly supported by the multiplication of 88 and 7.08. The other options fail to represent the correct product, either being too high or too low, thereby confirming that D is the only accurate choice based on the calculation.
Answer: A
Four cakes are needed to serve the group.
To serve a total of 73 individuals (70 students and 3 staff members), and given that each cake provides 24 servings, a calculation shows that 4 cakes will be required to adequately serve everyone.
A) 4
This option is correct because to determine the number of cakes needed, we divide the total number of servings required (73) by the number of servings per cake (24). Performing the calculation, 73 divided by 24 equals approximately 3.04, which rounds up to 4, confirming that 4 cakes will be necessary.
B) 2
This option is incorrect as two cakes would only provide 48 servings (2 cakes x 24 servings each). Since 73 servings are needed, two cakes would be insufficient to serve all individuals.
C) 3
This option is also incorrect because three cakes would provide only 72 servings (3 cakes x 24 servings each). This amount falls short of the 73 servings required, leaving one individual without a serving.
D) 5
This option is incorrect as well, since five cakes would provide 120 servings (5 cakes x 24 servings each), which exceeds the requirement. While this option would serve everyone, it is not the most efficient answer given the need.
Conclusion
The calculation clearly demonstrates that 4 cakes are necessary to meet the serving requirement for 73 individuals. Options B, C, and D either under-serve or over-serve the group, making them unsuitable. Thus, option A is definitively the correct choice.
3. Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
Answer: A
X equals 90
To solve for X in the equation 2X + 90 = 270, we first subtract 90 from both sides, resulting in 2X = 180. Dividing both sides by 2 gives us X = 90.
A) 90
This option is correct as it is the exact solution derived from the equation. After simplifying the equation, we find that X equals 90, confirming that this choice is accurate.
B) 80
This option is incorrect. If X were 80, substituting it back into the equation would yield 2(80) + 90 = 250, which does not satisfy the original equation of 2X + 90 = 270.
C) 75
This option is also incorrect. Substituting 75 into the equation gives 2(75) + 90 = 240, which is not equal to 270, indicating that this is not the correct value for X.
D) 100
This option is incorrect as well. If X were 100, the equation would result in 2(100) + 90 = 290, which exceeds the target of 270, thereby confirming that this cannot be the solution.
Conclusion
The correct answer is definitively 90, as it satisfies the equation when substituted back in. All other options fail to meet the requirements set by the original equation, confirming that they are not viable solutions.
Answer: D
32.21 - 4.68 = 27.53
To solve the subtraction problem, 32.21 minus 4.68 equals 27.53. This confirms that the correct answer is indeed 27.53.
A) 14.53
This option is incorrect because subtracting 4.68 from 32.21 does not yield 14.53. The result is significantly higher, indicating that a miscalculation occurred if this option was considered.
B) 27.53
While this option appears to be correct, it is actually a duplicate of option D. Both options present the same answer, but only option D is the one officially marked as correct. Therefore, while this answer is mathematically accurate, it does not fulfill the requirement of being the single correct choice.
C) 1.459
This option is incorrect as it results from an incorrect computation of the subtraction. The value of 1.459 is much lower than the expected result of 27.53, indicating a fundamental misunderstanding of the arithmetic operation involved.
D) 27.53
This is the correct answer, as it accurately represents the result of subtracting 4.68 from 32.21. The calculation confirms that the difference is indeed 27.53.
Conclusion
The correct answer, 27.53, is derived from accurately performing the subtraction operation. Options A and C are incorrect due to significant miscalculations, while option B, although correct in value, is not the officially designated answer. Thus, option D stands as the definitive answer to the problem presented.
Answer: A
It will take the young adult 5.3 hours to complete the run.
To find the total time taken to complete the 24-mile course, we need to sum the times taken for each segment of the run: 1 hour for the first 6 miles, 1.2 hours for the second 6 miles, 1.5 hours for the third 6 miles, and 1.6 hours for the fourth 6 miles. Adding these times together results in a total of 5.3 hours.
A) 5.3
This option correctly represents the total time calculated by adding the individual times: 1 + 1.2 + 1.5 + 1.6 equals 5.3 hours. This matches the requirement of rounding to the nearest tenth and accurately reflects the total duration of the run.
B) 5.6
This option is incorrect as it does not accurately reflect the total time taken. If we add the segment times (1 + 1.2 + 1.5 + 1.6), the result is 5.3 hours, not 5.6 hours. Therefore, this option does not meet the criteria established by the problem.
C) 5.8
This option is also incorrect. The sum of the run times does not equal 5.8 hours; rather, it equals 5.3 hours. Thus, this answer does not align with the calculated total time for the completion of the course.
D) 6
This option is incorrect as well because it rounds up the total time inaccurately. The actual total time calculated is 5.3 hours, which does not justify rounding to 6 hours. Therefore, this option does not represent the correct completion time.
Conclusion
The correct answer is 5.3 hours, as it accurately sums the time taken for each segment of the run. All other options fail to represent the total time based on the provided calculations, demonstrating a misunderstanding of the rounding and summation required for this problem.
6. How many ounces are equivalent to 3 gallons?
Answer: D
384 ounces are equivalent to 3 gallons.
To convert gallons to ounces, one must know that 1 gallon is equivalent to 128 ounces. Therefore, 3 gallons can be calculated as 3 times 128, which equals 384 ounces.
A) 256 oz.
This option is incorrect because 256 ounces does not accurately represent the conversion from gallons to ounces. When calculated, 3 gallons (3 x 128) equals 384 ounces, making 256 ounces significantly less than the correct amount.
B) 42 oz.
This option is also incorrect. The conversion of 3 gallons into ounces results in a much larger number. In fact, 42 ounces is vastly lower than the actual equivalent of 384 ounces, indicating a misunderstanding of the gallon to ounce conversion.
C) 128 oz.
This answer is incorrect as well. While 128 ounces represents the equivalent of 1 gallon, it does not account for the total number of ounces when converting 3 gallons, which is 384 ounces. Therefore, this option is not valid for the question posed.
D) 384 oz.
This is the correct answer. By multiplying the number of gallons (3) by the number of ounces in one gallon (128), we arrive at 384 ounces, confirming this option as the accurate conversion.
Conclusion
The correct answer, 384 ounces, is derived from the proper calculation of converting gallons to ounces, specifically for 3 gallons. All other options fail to represent the correct conversion, either being underestimated or miscalculating the total amount. Thus, option D is definitively the only accurate choice.
7. What is the result of adding 2/3 + 1/6 + 2/5?
Answer: C
1 & 7/30
The result of adding 2/3, 1/6, and 2/5 is 1 & 7/30. This sum involves finding a common denominator and combining the fractions accordingly, leading to the final mixed number.
A) 1/3
This option is incorrect because 1/3 is significantly smaller than the sum of the fractions involved. The correct addition of 2/3, 1/6, and 2/5 results in a value greater than 1, making 1/3 an invalid answer.
B) 2/5
2/5 is also incorrect for similar reasons as Option A. The result of the addition exceeds 2/5, indicating that this option does not reflect the true sum of the fractions.
C) 1 & 7/30
This option is correct. By converting each fraction to a common denominator, we find that 2/3 is equivalent to 20/30, 1/6 is 5/30, and 2/5 is 12/30. Adding these gives us 37/30, which converts to the mixed number 1 & 7/30.
D) 1 & 1/15
This option is incorrect as it underestimates the total sum. The correct addition yields a fraction that is larger than 1 & 1/15, thus making this choice inaccurate.
Conclusion
The correct answer, 1 & 7/30, accurately represents the sum of the fractions when calculated correctly. Options A, B, and D do not meet the requirements of the problem, as they are either too small or miscalculated, while C captures the precise total of the addition.
8. How many pints are in 56 ounces?
Answer: B
56 ounces is equivalent to 3.5 pints.
To find the number of pints in 56 ounces, one must remember that 1 pint equals 16 ounces. Therefore, dividing 56 ounces by 16 ounces per pint results in 3.5 pints.
A) 4
This option is incorrect because if you calculate the number of pints in 56 ounces, 4 pints would represent 64 ounces (4 x 16), which exceeds 56 ounces. Thus, this choice does not accurately reflect the conversion.
B) 3.5
This option is correct as it accurately represents the conversion of 56 ounces into pints. By dividing 56 by 16, you get 3.5 pints, which is the exact measurement needed for this question.
C) 3
This option is incorrect. If 3 pints were considered, that would equal 48 ounces (3 x 16), which is less than 56 ounces. Hence, this does not provide the correct answer for the conversion.
D) 5
This option is also incorrect, as 5 pints would equal 80 ounces (5 x 16), which is significantly more than 56 ounces. Thus, it fails to represent the accurate conversion needed for the question.
Conclusion
The correct answer is 3.5 pints, as determined by the conversion of ounces to pints using the standard measurement of 16 ounces per pint. All other options fail to provide an accurate representation of 56 ounces in pints, either exceeding or falling short of the correct value.
9. If the quotient is 4 and the dividend is 12, what is the divisor?
Answer: C
The divisor is 3.
To find the divisor, we can use the relationship between the dividend, divisor, and quotient. Given that the quotient is 4 and the dividend is 12, we can calculate the divisor by dividing the dividend by the quotient: 12 ÷ 4 = 3.
A) X
Option A is incorrect as it does not provide a numerical value for the divisor. The variable 'X' does not help in determining the actual divisor from the given information.
B) 4
Option B is incorrect because if the divisor were 4, the quotient would be 3 (12 ÷ 4), not 4. This does not align with the provided quotient of 4.
C) 3
Option C is correct. Using the formula for division, when the dividend (12) is divided by the divisor (3), the result is indeed the quotient of 4 (12 ÷ 3 = 4). This satisfies the conditions of the problem.
D) 12
Option D is incorrect as it suggests that the divisor is equal to the dividend. If the divisor were 12, the quotient would be 1 (12 ÷ 12), which contradicts the given quotient of 4.
Conclusion
The correct answer is 3, as it accurately satisfies the equation relating the dividend, divisor, and quotient. All other options either provide incorrect values or do not apply to the mathematical relationship defined by the question.
10. Subtract 2 5/8 - 7/8 and reduce.
Answer: D
1 & 3/4
Subtracting 2 5/8 and 7/8 results in 1 & 3/4 when simplified correctly.
A) 1 & 5/8
This option is incorrect because it does not accurately represent the result of the subtraction. The calculation of 2 5/8 - 7/8 yields a larger value than 1 & 5/8.
B) 1 & 1/4
This option is also incorrect as it underestimates the result of the subtraction. The value of 1 & 1/4 does not align with the correct calculation of 2 5/8 - 7/8, which is greater.
C) 1 & 6/8
This choice is incorrect as it suggests a value that is not in its simplest form. While it may initially appear close, 1 & 6/8 simplifies to 1 & 3/4, which is not reflected in this option.
D) 1 & 3/4
This is the correct answer because it accurately reflects the simplified result of the subtraction. When performing the calculation, 2 5/8 - 7/8 equals 1 & 3/4.
Conclusion
The correct answer, 1 & 3/4, is reached through proper subtraction and simplification of the fractions involved. Other options either misrepresent the result or fail to simplify correctly, making them inaccurate responses to the question.