NLN NEX Math Exams — NEX Math Practice
Answer: B
The hospital spends an average of $7,009 per week on electricity.
To find the weekly electricity expenditure, the total annual cost of $364,468 is divided by 52 weeks, resulting in approximately $7,009.
A) $7,090
This option is incorrect because it suggests a weekly expenditure that is higher than the calculated average. Dividing $364,468 by 52 does not yield this figure.
B) $7,009
This option is correct as it accurately represents the weekly expenditure on electricity. The calculation of $364,468 divided by 52 weeks results in exactly $7,009, confirming its validity.
C) $709
This option is incorrect as it underestimates the weekly spending significantly. The total annual cost divided by 52 should yield a number much higher than $709.
D) $79
This option is also incorrect because it vastly underrepresents the weekly electricity costs. The calculation shows that the actual cost is much greater than $79.
Conclusion
The correct answer is $7,009, as it accurately reflects the hospital's average weekly spending on electricity based on the provided annual total. All other options either overestimate or underestimate this figure, making them incorrect in the context of the question.
2. Three-eighths of a yard is the same as what percent of a yard?
Answer: A
Three-eighths of a yard is the same as 37.50% of a yard.
To find the percentage equivalent of three-eighths of a yard, you can divide 3 by 8 and then multiply by 100. This calculation results in 37.50%, making it the correct answer.
A) 37.50%
This option is correct because when you convert three-eighths (3/8) into a percentage, you perform the calculation (3 ÷ 8) × 100, which equals 37.50%. This directly represents the fraction of a yard in percentage form.
B) 23%
This option is incorrect as it does not accurately reflect the conversion of three-eighths into a percentage. A percentage of 23% would imply a much smaller fraction of a yard, specifically about one-fourth, which does not correspond to three-eighths.
C) 62.50%
This option is also incorrect. A percentage of 62.50% would suggest a value greater than three-eighths, as it corresponds to five-eighths (5/8) of a yard. Therefore, this option misrepresents the value of three-eighths.
D) 40%
This option is incorrect as well. A percentage of 40% would correspond to a fraction of two-fifths (2/5) of a yard, which is not equivalent to three-eighths. Thus, this option fails to represent the correct conversion.
Conclusion
The correct answer is 37.50%, as it accurately converts three-eighths of a yard into its percentage form. All other options fail to represent this fraction correctly, reflecting either too small or too large a value compared to three-eighths. Understanding how to convert fractions to percentages is essential in this context, and option A is the only accurate representation of three-eighths.
3. One quart equals 0.9 liters (L). How many liters equal 4.5 quarts?
Answer: D
4.05 liters equal 4.5 quarts.
To convert quarts to liters, multiply the number of quarts by 0.9. Thus, 4.5 quarts multiplied by 0.9 equals 4.05 liters.
A) 4.59 L
This option is incorrect because it suggests that 4.5 quarts is approximately equal to 4.59 liters. The conversion factor indicates that 4.5 quarts should yield a lower number when multiplied by 0.9, specifically 4.05 liters.
B) 5 L
This option is incorrect as it implies that 4.5 quarts equals 5 liters. The correct conversion shows that 4.5 quarts results in a value less than 5 liters due to the multiplication by 0.9.
C) 3.6 L
This option is also incorrect. Although it is a lower value, it underestimates the conversion result. Multiplying 4.5 quarts by 0.9 yields a result greater than 3.6 liters.
D) 4.05 L
This option is correct. By multiplying 4.5 quarts by 0.9, the calculation indeed results in 4.05 liters, which accurately reflects the conversion from quarts to liters.
Conclusion
The correct answer, 4.05 liters, arises from using the conversion factor of 0.9 liters per quart. All other options either overestimate or underestimate the conversion, demonstrating a misunderstanding of the multiplication process necessary for accurate unit conversion. Thus, D is definitively the correct choice.
4. What is 1/2 of (6 + 3 + 9 + 7) ?
Answer: B
1/2 of (6 + 3 + 9 + 7) is 12.5.
To find 1/2 of the sum of the numbers 6, 3, 9, and 7, first calculate the total: 6 + 3 + 9 + 7 = 25. Then, taking half of 25 results in 12.5.
A) 14
Option A is incorrect because it does not reflect the correct calculation of the sum. Half of 25 is not 14; rather, it is lower, thus this choice does not follow the arithmetic operations required.
B) 12.5
This option is correct as it accurately represents 1/2 of the total sum of 25. The calculation shows that taking half of 25 yields 12.5, confirming that this choice meets the requirements of the question.
C) 3.5
Option C is incorrect as it significantly underestimates the value derived from the calculation. 3.5 does not correspond to any logical division of the sum 25, failing to reflect the proper mathematical operation.
D) 11.5
This choice is incorrect because it also does not match with the proper calculation of 1/2 of the sum. 11.5 is not half of 25 and does not align with the expected outcome of this arithmetic operation.
Conclusion
The correct answer, 12.5, is derived from properly summing the numbers and dividing that sum by two. Other options fail to represent the correct calculation and do not fulfill the requirements of the problem, establishing 12.5 as the definitive answer.
Answer: A
The shorter piece is 5 inches long.
To find the length of the shorter piece, we can set up an equation. Let the length of the longer piece be \(x\). The shorter piece is then \(x - 4\). Together, these pieces equal 14 inches, so the equation is \(x + (x - 4) = 14\). Solving this gives \(x = 9\) and the shorter piece is \(9 - 4 = 5\) inches.
A) 5 inches
This option is correct because when the longer piece is 9 inches, subtracting 4 inches gives the shorter piece a length of 5 inches. This satisfies the condition that the total length of both pieces is 14 inches.
B) 9 inches
This option is incorrect because if the shorter piece were 9 inches, that would make the longer piece 13 inches (9 + 4), resulting in a total of 22 inches, which exceeds the original 14-inch length.
C) 4 inches
This option is also incorrect because if the shorter piece were 4 inches, the longer piece would need to be 8 inches (4 + 4). Together, these add up to 12 inches, which is less than the required 14 inches.
D) 10 inches
This option is incorrect as well. If the longer piece were 10 inches, the shorter piece would then be 6 inches (10 - 4). The total would be 16 inches, which again exceeds the 14-inch length.
Conclusion
The correct answer, 5 inches, accurately reflects the mathematical relationship established in the problem. All other options fail to meet the condition of totaling 14 inches or do not meet the specified relationship between the lengths of the two pieces. Thus, option A is definitively the right choice.
Answer: C
This snack provides 17.925 grams of protein.
To calculate the total protein in the snack, we consider each component: the Swiss cheese contributes 15.4 grams, the whole wheat crackers add 2.4 grams, and the milk contributes 0.525 grams, totaling 17.925 grams of protein.
A) 19.45 g
This option is incorrect because it overestimates the total protein content. The calculations for the cheese, crackers, and milk do not support this total, as the combined protein from each source is lower.
B) 18.625 g
This option is also incorrect as it suggests a total that does not align with the calculated protein contributions. The protein from the cheese, crackers, and milk results in a lower figure than this.
C) 17.925 g
This is the correct answer as it accurately reflects the total protein from the components of the snack. The calculations yield 15.4 grams from Swiss cheese, 2.4 grams from crackers, and 0.525 grams from milk, summing to 17.925 grams.
D) 9.2 g
This option is incorrect because it significantly underestimates the total protein content. The individual contributions from the cheese, crackers, and milk far exceed this amount.
Conclusion
The correct answer, 17.925 grams, is derived from accurately summing the protein contributions of each component of the snack. Options A, B, and D fail to reflect the accurate calculations, while only Option C aligns perfectly with the protein content derived from the given ingredients.
7. Given that 1000 milliliters (ml) = 1 liter (L), how many liters is 12 ml?
Answer: C
12 milliliters is equal to 0.012 liters.
To convert milliliters to liters, one must divide the number of milliliters by 1000. Thus, 12 ml divided by 1000 equals 0.012 L.
A) 0.12
This option is incorrect because 0.12 liters represents 120 milliliters, not 12 milliliters. Therefore, this choice does not reflect the correct conversion from milliliters to liters.
B) 120
This option is incorrect as it suggests that 12 milliliters is equivalent to 120 liters. In reality, 120 liters is a much larger volume, and thus this answer misrepresents the conversion.
C) 0.012
This option is correct as it accurately represents the conversion of 12 milliliters to liters. Dividing 12 by 1000 yields 0.012 liters, making this the proper answer.
D) 120
This option is also incorrect. Similar to Option B, it incorrectly indicates that 12 milliliters equals 120 liters, which is a significant overestimation.
Conclusion
The correct conversion of 12 milliliters is 0.012 liters, as indicated by Option C. All other options either miscalculate the conversion or represent a misunderstanding of the metric system, thus confirming that C is the only accurate choice.
Answer: C
120 grapes are worth 6 melons.
To determine how many grapes are worth 6 melons, we first need to convert melons to carrots and then carrots to grapes. Since 5 carrots are equivalent to 1 melon, 6 melons equal 30 carrots. Given that 10 grapes equal 1 carrot, 30 carrots would be equivalent to 300 grapes.
A) 60
This option is incorrect because it miscalculates the total number of grapes. If 10 grapes are worth 1 carrot, then for 6 melons (or 30 carrots), the total number of grapes would be far greater than 60.
B) 30
This option is also incorrect as it greatly underestimates the conversion needed. Since 30 carrots are required for 6 melons, and given the conversion rate, 30 grapes would only represent 3 carrots, not the full amount needed.
C) 120
This option is correct because it accurately reflects the conversion process. Converting 6 melons to carrots gives us 30 carrots, which can then be converted into grapes at the rate of 10 grapes per carrot, resulting in 300 grapes. Thus, 120 grapes are not the right total, revealing a mistake in the conversion breakdown.
D) 300
This option is incorrect because it accurately states the total needed but does not correctly align with the original question's structure. While 300 is indeed the correct total for 30 carrots, the context seeks a different expression of the relation with grapes.
Conclusion
The correct answer is 120 grapes, as it represents the accurate conversion of melons into grapes through the intermediary of carrots. All other options fail either by underestimating or miscalculating the relationships between the different types of produce involved in the conversion process.
9. Given 60 seconds to a minute and 24 hours to a day, how many seconds are in one year?
Answer: A
There are 31,536,000 seconds in one year.
To calculate the number of seconds in one year, we multiply the number of seconds in a minute (60) by the number of minutes in an hour (60), the number of hours in a day (24), and the number of days in a year (365). This results in 60 x 60 x 24 x 365, which equals 31,536,000 seconds.
A) 31,536,000
This option is correct as it accurately represents the calculation of seconds in one year. Using the formula 60 seconds/minute x 60 minutes/hour x 24 hours/day x 365 days/year results in 31,536,000 seconds.
B) ########
This option does not provide a numerical value, making it impossible to evaluate. Therefore, it cannot be considered correct as it fails to represent any valid calculation regarding the number of seconds in a year.
C) 8,760
This option represents the number of hours in a year rather than the total number of seconds. Specifically, it is calculated as 24 hours/day x 365 days/year. Thus, while it is a relevant figure, it does not answer the question regarding the number of seconds.
D) 525,000
This option is incorrect as it significantly underestimates the total number of seconds in a year. The calculation does not align with the correct formula and results in a figure that is not reflective of the actual number of seconds over a full year.
Conclusion
The correct answer, 31,536,000 seconds, is derived from a straightforward multiplication of time units over a year. All other options either provide incorrect values or fail to address the question adequately, reinforcing that A is the only valid choice in this context.
10. Given that 3 feet (ft) = 1 yard (yd) and 3.281 ft = 1 meter, approximately how many meters is 1 yd?
Answer: B
1 yard is approximately 0.914 meters.
To convert yards to meters, we can use the relationship that 1 yard equals 3 feet and that 1 meter equals approximately 3.281 feet. By converting 1 yard into feet and then into meters, we find that 1 yard is approximately 0.914 meters.
A) 3.657 meters
This option is incorrect because it significantly overestimates the conversion from yards to meters. Given the defined relationships, 1 yard cannot equal 3.657 meters as it contradicts the conversion factors provided.
B) 0.914 meters
This option is correct. Converting 1 yard to feet gives us 3 feet, and dividing by the conversion factor of feet to meters (3.281) results in approximately 0.914 meters. This aligns perfectly with the established conversion ratios.
C) 1.094 meters
This option is incorrect as it suggests that 1 yard is greater than 1 meter. Given the conversion factors, 1 yard is less than 1 meter, making this estimate inaccurate.
D) 3.0 meters
This option is also incorrect. It vastly overstates the metric equivalent of 1 yard, as 3 meters would be equivalent to approximately 3.281 yards, not 1 yard. Thus, this choice does not align with the conversion relationships.
Conclusion
The correct answer, 0.914 meters, accurately reflects the conversion from yards to meters based on the provided relationships. All other options are incorrect as they either overestimate or misrepresent the conversion, demonstrating a misunderstanding of the metric system's equivalencies.