HESI A2 Math Exams — HESI A2 Math Practice
Answer: B
Karen has $31.90 left after her purchases.
After purchasing a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05, Karen has $31.90 remaining from her initial $40.
A) $31.90
This option is presented twice in the question, but it is correct. The calculations show that $1.85 + $3.20 + $3.05 equals $8.10. Subtracting this amount from $40 leaves Karen with $31.90.
B) $31.90
This option is also correct and identical to option A. It confirms that after spending $8.10 on her groceries, Karen has $31.90 left, which matches the calculated remainder.
C) $32.10
This option is incorrect. If Karen had $32.10 left, it would imply she spent only $7.90 on her groceries, which contradicts the total amount spent of $8.10.
D) $34.95
This option is incorrect as well. If Karen had $34.95 remaining, it would mean she only spent $5.05 on her groceries, which is not consistent with the actual total of $8.10.
Conclusion
The correct answer is $31.90, supported by the accurate calculations of Karen's total expenditure. All other options misrepresent the amount spent or remaining, highlighting the importance of precise arithmetic in solving such problems.
2. Express 0.26 as a fraction =
Answer: B
0.26 can be expressed as the fraction 13/50.
Expressing 0.26 as a fraction results in 13/50, as this fraction accurately represents the decimal's value.
A) 7/8
The fraction 7/8 is equivalent to 0.875, which is significantly larger than 0.26. Therefore, this option is incorrect as it does not represent the decimal accurately.
B) 13/50
The fraction 13/50 is equivalent to 0.26 when calculated (13 divided by 50 equals 0.26). This makes it the correct representation of the decimal.
C) 26/100
Although 26/100 simplifies to 13/50, it is not the simplest form when compared directly with the decimal. However, it does represent the same value of 0.26. Thus, while not incorrect, it is not the most reduced form.
D) 2 6/10
The mixed number 2 6/10 equals 2.6 when converted to a decimal, which is much greater than 0.26. Therefore, this option is incorrect as it does not match the value of the decimal.
Conclusion
The correct answer is 13/50, as it precisely represents the decimal value of 0.26. Other options either exceed this value or do not accurately represent it in the simplest form. Therefore, only option B correctly answers the question.
Answer: D
3 9/10
To find the result of the subtraction 7 7/10 - 3 4/5, we convert both mixed numbers to improper fractions. This results in 77/10 - 19/5. Adjusting the second fraction to have a common denominator gives us 77/10 - 38/10, which equals 39/10 or 3 9/10.
A) 4 1/10
This option is incorrect because the result of the subtraction is not equal to 4 1/10. If we convert 39/10 to a mixed number, it simplifies to 3 9/10, indicating that this choice does not reflect the correct calculation.
B) 11 1/2
This option is also incorrect. The value 11 1/2 exceeds the original numbers being subtracted, making it impossible for it to be the correct answer. The subtraction of two mixed numbers, each less than 8, cannot yield a result greater than 8.
C) 4 3/5
While 4 3/5 is a valid fraction, it is not the result of the subtraction. This option does not align with the correct calculation of 39/10, which simplifies to 3 9/10, thus confirming that this option is incorrect.
D) 3 9/10
This is the correct answer. The calculation of 7 7/10 - 3 4/5 simplifies to 39/10, which can be expressed as the mixed number 3 9/10. This accurately represents the difference between the two mixed numbers.
Conclusion
The correct answer is 3 9/10 because it accurately reflects the result of the subtraction when both mixed numbers are properly converted and calculated. All other options fail to represent the correct answer, either by being too high or not aligning with the proper arithmetic process.
4. What is the result of dividing 0.9 by 3?
Answer: C
The result of dividing 0.9 by 3 is 0.3.
Dividing 0.9 by 3 yields a result of 0.3, as it is equivalent to calculating how many times 3 fits into 0.9.
A) 3
Option A is incorrect because 3 is much larger than the quotient of 0.9 divided by 3. In fact, 3 is the multiplier needed to reach 0.9, not the result of the division.
B) 30
Option B is also incorrect, as 30 is significantly greater than 0.9. Dividing 0.9 by 3 cannot yield a result in the tens, making this option clearly invalid.
C) 0.3
Option C is correct; dividing 0.9 by 3 results in 0.3. This can be verified through simple arithmetic: 0.9 divided by 3 equals 0.3, which aligns with standard division practices.
D) 0.9
Option D is incorrect because it suggests that dividing 0.9 by 3 results in the same number, 0.9. This is not mathematically accurate, as division would yield a smaller value.
Conclusion
The correct answer, 0.3, accurately represents the result of dividing 0.9 by 3. All other options fail to reflect the correct mathematical outcome, demonstrating a misunderstanding of basic division concepts. Thus, C is the only valid choice.
5. Ratio and proportion: 0.8:10 :: x:100
Answer: D
x = 8
To solve the proportion 0.8:10 :: x:100, we can use cross-multiplication. This leads to the equation 0.8 * 100 = 10 * x, which simplifies to x = 8.
A) x = 0.8
This option is incorrect because substituting 0.8 into the proportion would not maintain the equality. In the original proportion, 0.8 relates to 10, and if x were 0.8, the relationship with 100 would not hold true.
B) x = 80
This choice is also incorrect. If x were 80, then using the same cross-multiplication method would give a false relationship, as it would imply a much larger relationship than the original proportion of 0.8 to 10.
C) x = 800
This option is incorrect as well. If x were 800, the proportion would skew significantly, indicating an unrealistic relationship compared to the original ratio of 0.8:10.
D) x = 8
This option is correct. By cross-multiplying the original proportion, we find that x must equal 8 to maintain the equality established by the ratio 0.8:10 compared to x:100.
Conclusion
The correct answer, x = 8, accurately reflects the proportional relationship defined by the original ratio. All other options fail to satisfy the equality derived from cross-multiplication, confirming that only option D maintains the integrity of the proportion presented.
6. How many gallons are in 576 fluid ounces?
Answer: B
576 fluid ounces equals 4.5 gallons.
To convert fluid ounces to gallons, one must know that there are 128 fluid ounces in one gallon. Therefore, dividing 576 by 128 yields 4.5 gallons.
A) 4 gallons
Option A is incorrect because 4 gallons corresponds to 512 fluid ounces (4 x 128 = 512). Since 576 fluid ounces exceeds this amount, 4 gallons cannot be the correct conversion.
B) 4.5 gallons
Option B is correct as it accurately represents the conversion of 576 fluid ounces to gallons. Performing the calculation, 576 fluid ounces divided by 128 fluid ounces per gallon equals 4.5 gallons.
C) 5 gallons
Option C is incorrect because 5 gallons would equal 640 fluid ounces (5 x 128 = 640). Since 576 fluid ounces is less than 640, this option does not reflect the correct conversion.
D) 6 gallons
Option D is also incorrect as 6 gallons amounts to 768 fluid ounces (6 x 128 = 768). Given that 576 fluid ounces is significantly less than this value, 6 gallons cannot be the correct answer.
Conclusion
The correct answer is 4.5 gallons, as derived from the precise calculation of converting fluid ounces to gallons. All other options miscalculate the conversion, either underestimating or overestimating the number of gallons corresponding to 576 fluid ounces. Thus, option B stands out as the only accurate choice.
7. How many meters are in 3 kilometers? (Enter a numeric value only.)
Answer: B
3000
To convert kilometers to meters, one must recognize that 1 kilometer is equal to 1000 meters. Therefore, 3 kilometers is equal to 3 multiplied by 1000, which equals 3000 meters.
A) 300
This option is incorrect because 300 meters is significantly less than the actual conversion of 3 kilometers. It does not account for the necessary multiplication by 1000 that is required in the conversion process.
B) 3000
This option is correct because it accurately reflects the conversion of 3 kilometers into meters. With the understanding that 1 kilometer equals 1000 meters, multiplying 3 by 1000 results in 3000 meters.
C) 30
This option is incorrect as 30 meters is far too low when converting kilometers to meters. It fails to consider the correct factor of 1000 in the conversion process.
D) 3
This option is also incorrect because it represents the number of kilometers directly and does not convert it into meters. The conversion requires multiplication by 1000, making this answer inaccurate.
Conclusion
The correct answer is 3000 meters, which accurately reflects the conversion of 3 kilometers into meters. All other options fail to consider the proper conversion factor of 1000, leading to incorrect values. Understanding this basic conversion is essential for accurately working with metric measurements.
8. Add 7/8 + 9/10 + 6/5 as mixed numbers.
Answer: C
2 & 39/40
To express the sum of 7/8, 9/10, and 6/5 as a mixed number, the total simplifies to 2 & 39/40. This calculation involves finding a common denominator and summing the fractions accurately.
A) 3 & 39/40
This option is incorrect as it suggests a total greater than the actual sum of 7/8, 9/10, and 6/5. The correct sum does not exceed 3, making this option invalid.
B) 22/23
Option B is incorrect because it presents an improper fraction that does not represent the sum of the given fractions. The total calculated is a mixed number, not a simple fraction like 22/23.
C) 2 & 39/40
This option is correct as the sum of the fractions, when calculated and converted into a mixed number, equals 2 & 39/40. This accurately reflects the total after finding a common denominator and adding the fractions.
D) 3 & 22/23
This option is incorrect because it also exceeds the actual sum derived from the fractions. The total should be less than 3, hence this option does not accurately represent the addition of the given fractions.
Conclusion
The correct answer, 2 & 39/40, accurately reflects the sum of the fractions provided in the question. All other options either misrepresent the value by being too high or incorrectly formatted as simple fractions, failing to match the correct calculation.
Answer: B
122°F
To convert 50°C to Fahrenheit, the formula used is F = (C × 9/5) + 32. Applying this formula results in 122°F, making this the correct answer.
A) 150°F
150°F is incorrect because it represents a much higher temperature than what is calculated from 50°C. When applying the conversion formula, the resulting Fahrenheit temperature is significantly lower than this option.
B) 122°F
122°F is the correct answer. By using the conversion formula F = (50 × 9/5) + 32, we find that 50°C indeed converts to 122°F, confirming this option as accurate.
C) 120°F
120°F is incorrect because it is slightly lower than the correct conversion of 122°F. The calculation shows that 50°C results in a Fahrenheit temperature that is greater than this option.
D) 145°F
145°F is also incorrect as it exceeds the calculated temperature from the conversion. The value calculated from 50°C is below this option, confirming it is not the correct answer.
Conclusion
The correct answer is 122°F, derived from the proper application of the temperature conversion formula. All other options, 150°F, 120°F, and 145°F, do not accurately reflect the conversion from Celsius to Fahrenheit for the given temperature, demonstrating their incorrectness.
10. What is the result of adding 23.5 + 7.025?
Answer: A
The result of adding 23.5 + 7.025 is 30.525.
When you add 23.5 and 7.025, the sum is 30.525.
A) 30.525
This option is correct. When performing the addition, 23.5 can be expressed as 23.500, allowing for straightforward decimal alignment. Adding the two numbers results in 30.525.
B) 30.5
This option is incorrect. While it is close to the correct answer, it does not account for the additional 0.025 from the second number, 7.025. The precise sum is necessary to achieve accuracy.
C) 30.025
This option is incorrect. It underestimates the sum significantly, as it does not include the entirety of either number, particularly 23.5. The calculation should clearly exceed 30.
D) 16.475
This option is incorrect. It reflects a misunderstanding of the addition involved, as the sum of 23.5 and 7.025 far exceeds 16.475. This number is not relevant to the operation being performed.
Conclusion
The correct answer, 30.525, accurately reflects the sum of 23.5 and 7.025, confirming that precise calculations are vital. All other options either miscalculate the addition or fail to reflect the values involved, underscoring the importance of careful addition in arithmetic.