HESI A2 MATH ACTUAL EXAM
WITH VERIFIED DETAILED
ANSWERS (100% CORRECT)
NEW!/ A+ GRADE (FALL)
(60 QUESTIONS WITH EXPLAINED ANSWERS)
1. Which number is represented by the Roman numeral XXVII?
A. 32
B. 47
C. 72
D. 27
Answer: D. 27 Explanation:
In Roman numerals, an “X” represents the number 10, a “V” represents 5 and “I” is
representative of the number 1. In this problem we have 2 X’s, 1 V and 2 II’s, which means we
have two 10’s (20) one 5 and two i’s (2).
Written mathematically; 20+5+2=27
What is (-5)²?
A. 25
B. (-25)²
C. 5
D. -25
Answer: A. 25
Explanation: 25 is correct. In this situation you address the parenthesis and then the exponent and
the negatives would cancel each other out for a positive answer.
,What is X²X⁴
A. X⁶
B. X⁸
C. 2(X⁸)
D. 2X⁶
Answer: A. X⁶
Explanation: It is assumed in math that terms will be presented in their simplest form. This
one isnot, so you would add the exponents to simplify it: 2+4=6, so X²X⁴=X⁶
Lance makes $11.35 an hour and earns time and a half pay for every hour over 40. If Lance
worked 47 hours this week, about how much will his paycheck be? Round to the hundredths
place.
A. $546.24
B. $521.37
C. $573.18
D. $454
Answer: C. $573.18
Explanation: $573.18 is correct because $11035 an hour x 40 hours a week equals $454.
Time and a half pay for Lance would be $17.025, and you figure out by multiplying $11.35
an hour by
1.5. Then multiply $17.025 times 7 overtime hours to get $119.175. Lastly, add $454 and
$119.175 and you will get $573.175. Rounded to the hundredth place would be $573.18.
Dawn has a 20% off one shirt coupon at her favorite store. If she buys 3 shirts at $29.99 each
and uses her coupon, how much will her total bill be? Round to the nearest hundredth.
A. $89.97
B. $71.98
C. $86.42
D. $83.97
Answer: D. $83.97
Explanation: $83.97 is correct because $29.99 multiplied by 3 shirts is $89.97. To get 20%
off ofONE shirt, $29.99 is multiplied by 0.20, which equals $5.998. You subtract $5.998
from $89.97 to get $83.972. Rounded to the nearest hundredth you would get the correct
answer, $83.97.
What is 0.85 x 0.65?
A. 0.5525
B. 0.5520
C. 0.5252
, D. 0.2552
Answer: A. 0.5525
Explanation: Multiply 0.85 by 0.65. If it’s easier for you to conceptualize, you can just
multiply85 x 65 to get 5525, and then add the decimal point in after to get 0.5525.
A number is 5 more than half of another number. How would you write this as a
mathematicalexpression?
A. (5+½)N
B. N/2 +5
C. N/5.2
D. N+5/2
Answer: B. N/2 +5
Explanation: First, we let N represent any number. We then express half of N as ½(N) or
N/2. The phrase 5 more than indicates the mathematical expression 5+. Putting terms together,
we getthe correct answer.
|7|+|-2|=?
Note: This problem is the number -2 within an absolute value sign, not the number -21.
A. 0
B. 14
C. 9
D. 5
Answer: C. 9
Explanation: 9 is the correct answer because the brackets around the numbers mean you are
adding the absolute value of those numbers.
An absolute value looks at the actual number within the brackets and not any sign associated
with it, including a negative sign. Therefore, 7+2=9.
Monica bought 7 peaches at the grocery store for $2.94. How many could she buy for $4.62?
A. 9
B. 13
C. 14
D. 11
Answer: D. 11
Explanation: 11 is the correct answer because $2.94/7 peaches means each peach costs $0.42
individually. $4.62 divided by $0.42 equals 11 peaches.
If you lost 4% of your original weight of 168, what would you now weigh?
A. 164.20
B. 159.24
WITH VERIFIED DETAILED
ANSWERS (100% CORRECT)
NEW!/ A+ GRADE (FALL)
(60 QUESTIONS WITH EXPLAINED ANSWERS)
1. Which number is represented by the Roman numeral XXVII?
A. 32
B. 47
C. 72
D. 27
Answer: D. 27 Explanation:
In Roman numerals, an “X” represents the number 10, a “V” represents 5 and “I” is
representative of the number 1. In this problem we have 2 X’s, 1 V and 2 II’s, which means we
have two 10’s (20) one 5 and two i’s (2).
Written mathematically; 20+5+2=27
What is (-5)²?
A. 25
B. (-25)²
C. 5
D. -25
Answer: A. 25
Explanation: 25 is correct. In this situation you address the parenthesis and then the exponent and
the negatives would cancel each other out for a positive answer.
,What is X²X⁴
A. X⁶
B. X⁸
C. 2(X⁸)
D. 2X⁶
Answer: A. X⁶
Explanation: It is assumed in math that terms will be presented in their simplest form. This
one isnot, so you would add the exponents to simplify it: 2+4=6, so X²X⁴=X⁶
Lance makes $11.35 an hour and earns time and a half pay for every hour over 40. If Lance
worked 47 hours this week, about how much will his paycheck be? Round to the hundredths
place.
A. $546.24
B. $521.37
C. $573.18
D. $454
Answer: C. $573.18
Explanation: $573.18 is correct because $11035 an hour x 40 hours a week equals $454.
Time and a half pay for Lance would be $17.025, and you figure out by multiplying $11.35
an hour by
1.5. Then multiply $17.025 times 7 overtime hours to get $119.175. Lastly, add $454 and
$119.175 and you will get $573.175. Rounded to the hundredth place would be $573.18.
Dawn has a 20% off one shirt coupon at her favorite store. If she buys 3 shirts at $29.99 each
and uses her coupon, how much will her total bill be? Round to the nearest hundredth.
A. $89.97
B. $71.98
C. $86.42
D. $83.97
Answer: D. $83.97
Explanation: $83.97 is correct because $29.99 multiplied by 3 shirts is $89.97. To get 20%
off ofONE shirt, $29.99 is multiplied by 0.20, which equals $5.998. You subtract $5.998
from $89.97 to get $83.972. Rounded to the nearest hundredth you would get the correct
answer, $83.97.
What is 0.85 x 0.65?
A. 0.5525
B. 0.5520
C. 0.5252
, D. 0.2552
Answer: A. 0.5525
Explanation: Multiply 0.85 by 0.65. If it’s easier for you to conceptualize, you can just
multiply85 x 65 to get 5525, and then add the decimal point in after to get 0.5525.
A number is 5 more than half of another number. How would you write this as a
mathematicalexpression?
A. (5+½)N
B. N/2 +5
C. N/5.2
D. N+5/2
Answer: B. N/2 +5
Explanation: First, we let N represent any number. We then express half of N as ½(N) or
N/2. The phrase 5 more than indicates the mathematical expression 5+. Putting terms together,
we getthe correct answer.
|7|+|-2|=?
Note: This problem is the number -2 within an absolute value sign, not the number -21.
A. 0
B. 14
C. 9
D. 5
Answer: C. 9
Explanation: 9 is the correct answer because the brackets around the numbers mean you are
adding the absolute value of those numbers.
An absolute value looks at the actual number within the brackets and not any sign associated
with it, including a negative sign. Therefore, 7+2=9.
Monica bought 7 peaches at the grocery store for $2.94. How many could she buy for $4.62?
A. 9
B. 13
C. 14
D. 11
Answer: D. 11
Explanation: 11 is the correct answer because $2.94/7 peaches means each peach costs $0.42
individually. $4.62 divided by $0.42 equals 11 peaches.
If you lost 4% of your original weight of 168, what would you now weigh?
A. 164.20
B. 159.24
