HESI A2 Math Practice test Exam 2025
Questions and Verified Answers
-9 1/12 - 6 1/4 = - CORRECT ANSWER-Correct answer: -15.33
Explanation: This problem requires that you know how to use the negative sign. Here we are
adding two negative mixed numerals. First turn each mixed numeral into an improper fraction and
then long divide the denominator into each numerator.
(0.000034)-2 - CORRECT ANSWER-Correct answer: 86.5x107
Explanation:
What does the operation ask us to perform?
(0.000034)-1 x (0.000034)-1
Simplify expression in parenthesis:
(34x10-6)-1 x ( 34x10-6)-1 = 34-1x 34-1 x 10-6(-1) x 10-6(-1)= 34-2 x 1012
which is also the same as.......
1/342 = 1/1156 = 8.6505 x 10-4 or 0.00086505
now multiply this times 1012 and we get...
moving the decimal point 12 places to the right.
8.6505 x 108
(0.000068)3 - CORRECT ANSWER-Answer: 3.14x10-13
Explanation:
Simplify the expression in parentheses first;
(68 x 10-6)3
,When raising an exponent to any power, multiply that power to each of the items powers in
parenthesis.
683x10-18
Any time that there is a negative exponent, it indicates that the item is in the denominator, and the
exponent then becomes positive
683/1018
(24/0.45) x 65 + 3/4 - CORRECT ANSWER-Answer: 3467
Explanation:
Perfom the division within the parenthesis, then the multiply, then the add.
(24x - 4) ( 2x - 2)8 - CORRECT ANSWER-Correct answer: 64 (6x-1) (x-1)
Explanation:
Factor out a 4 from one set of parentheses and and 2 from the other, this leaves
64 (6x-1)(x-1), in simpliest form
(5 + x) (5 - x) - CORRECT ANSWER-Answer: (25-x2)
Explanation:
First - OUtside- Inside - Last
First: 5x5 =25
Outside : -5x
Inside: 5x
Last: -x2
Combine
25 + -5x + 5x - x2 = 25- x2 (answer)
(57 x 2/3)/24 - CORRECT ANSWER-Correct answer: 1.6
,Explanation: Multiply the items in parenthesis first, then divide by 24
0 and 100 - CORRECT ANSWER-The freezing point and boiling point of water in Celsius are
_______ and _______.
0 Degrees Celsius = ____ Degrees Fahrenheit - CORRECT ANSWER-32
0.00045/9 - CORRECT ANSWER-Correct answer: 5 (10-5)
Explanation:
Use powers of 10 for the numerator and then divide.
(45x10-5)/9
45/9 = 5 (10-5)
0.000567/0.00589 - CORRECT ANSWER-Answer: 0.096
Explanation:
The best way to tackle this problem is to first turn each number into a factor of ten, then divide the
numbers.
(567 x 10-6 )/(589 x10-5 )
Long divide 589 into 567 and then use the rules of exponents for the factors of 10, 10-6-(-5) = 10-
1
0.00078/0.00002 - CORRECT ANSWER-Correct answer: 39
Explanation:
Turn the numerator and denominator into a factor of 10.
, 78 x 10 -5 ÷ 2.0 x10-5
Divide 2 into 78 = 39
Subtract the numerator exponent from the denominator exponent: 10 (-5 -(-5)) = 100 = 1
39x1 =39
0.0068 - CORRECT ANSWER-0.002 x 3.4 = _______.
0.055% - CORRECT ANSWER-Correct answer: 0.00055
Explanation:
This is out of 100, so we can either perform long division of 0.055/100 or use the factor of 10
55x10-3(10-2)
55x10-5
0.00055
10-2=1/100
0.120 - CORRECT ANSWER-Correct answer: 12%
Explanation:
To convert any number to a percent, always multiply by 100, or remember to move the decimal
point two places to the right.
Questions and Verified Answers
-9 1/12 - 6 1/4 = - CORRECT ANSWER-Correct answer: -15.33
Explanation: This problem requires that you know how to use the negative sign. Here we are
adding two negative mixed numerals. First turn each mixed numeral into an improper fraction and
then long divide the denominator into each numerator.
(0.000034)-2 - CORRECT ANSWER-Correct answer: 86.5x107
Explanation:
What does the operation ask us to perform?
(0.000034)-1 x (0.000034)-1
Simplify expression in parenthesis:
(34x10-6)-1 x ( 34x10-6)-1 = 34-1x 34-1 x 10-6(-1) x 10-6(-1)= 34-2 x 1012
which is also the same as.......
1/342 = 1/1156 = 8.6505 x 10-4 or 0.00086505
now multiply this times 1012 and we get...
moving the decimal point 12 places to the right.
8.6505 x 108
(0.000068)3 - CORRECT ANSWER-Answer: 3.14x10-13
Explanation:
Simplify the expression in parentheses first;
(68 x 10-6)3
,When raising an exponent to any power, multiply that power to each of the items powers in
parenthesis.
683x10-18
Any time that there is a negative exponent, it indicates that the item is in the denominator, and the
exponent then becomes positive
683/1018
(24/0.45) x 65 + 3/4 - CORRECT ANSWER-Answer: 3467
Explanation:
Perfom the division within the parenthesis, then the multiply, then the add.
(24x - 4) ( 2x - 2)8 - CORRECT ANSWER-Correct answer: 64 (6x-1) (x-1)
Explanation:
Factor out a 4 from one set of parentheses and and 2 from the other, this leaves
64 (6x-1)(x-1), in simpliest form
(5 + x) (5 - x) - CORRECT ANSWER-Answer: (25-x2)
Explanation:
First - OUtside- Inside - Last
First: 5x5 =25
Outside : -5x
Inside: 5x
Last: -x2
Combine
25 + -5x + 5x - x2 = 25- x2 (answer)
(57 x 2/3)/24 - CORRECT ANSWER-Correct answer: 1.6
,Explanation: Multiply the items in parenthesis first, then divide by 24
0 and 100 - CORRECT ANSWER-The freezing point and boiling point of water in Celsius are
_______ and _______.
0 Degrees Celsius = ____ Degrees Fahrenheit - CORRECT ANSWER-32
0.00045/9 - CORRECT ANSWER-Correct answer: 5 (10-5)
Explanation:
Use powers of 10 for the numerator and then divide.
(45x10-5)/9
45/9 = 5 (10-5)
0.000567/0.00589 - CORRECT ANSWER-Answer: 0.096
Explanation:
The best way to tackle this problem is to first turn each number into a factor of ten, then divide the
numbers.
(567 x 10-6 )/(589 x10-5 )
Long divide 589 into 567 and then use the rules of exponents for the factors of 10, 10-6-(-5) = 10-
1
0.00078/0.00002 - CORRECT ANSWER-Correct answer: 39
Explanation:
Turn the numerator and denominator into a factor of 10.
, 78 x 10 -5 ÷ 2.0 x10-5
Divide 2 into 78 = 39
Subtract the numerator exponent from the denominator exponent: 10 (-5 -(-5)) = 100 = 1
39x1 =39
0.0068 - CORRECT ANSWER-0.002 x 3.4 = _______.
0.055% - CORRECT ANSWER-Correct answer: 0.00055
Explanation:
This is out of 100, so we can either perform long division of 0.055/100 or use the factor of 10
55x10-3(10-2)
55x10-5
0.00055
10-2=1/100
0.120 - CORRECT ANSWER-Correct answer: 12%
Explanation:
To convert any number to a percent, always multiply by 100, or remember to move the decimal
point two places to the right.
