# HESI A2 Math Practice Test

Get started with your HESI Math practice with this free interactive practice test. Our HESI A2 Math practice test is designed to be very similar to the actual test. To succeed on this test, you will need to be familiar with ratios, percentages, fractions, decimals, military time, roman numerals, and basic algebra. Other questions cover addition, subtraction, multiplication, and division. There are also a lot of measurement conversion questions. Start your test prep right now with our free HESI Math practice test.

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 Question 1
How many ounces are there in a gallon?

 A 32 B 64 C 128 D ¼
Question 1 Explanation:
Use dimensional analysis to convert from gallons to ounces.
• 1 Gallon = 4 Quarts
• 1 Quart = 2 Pints
• 1 Pint = 2 Cups
• 1 Cup = 8 Ounces
 Question 2
What is 70% of 65?

 A 45.5 B 50.5 C 65 D 110.5
Question 2 Explanation:
Recall that:

$\dfrac{\text{part}}{\text{whole}} = \dfrac{\%}{100}$

Substitute given values and solve for the unknown:

$\dfrac{x}{65} = \dfrac{75}{100} → x = 45$

Alternatively, directly multiplying 65 by 0.7 will yield the same result.
 Question 3
For a recipe, there are 3 eggs needed for every pound of cake needed. How many pounds of cake can be made if there are 40 eggs?

 A 12 B 13 C 14 D 15
Question 3 Explanation:
Write a proportion to represent the situation:

$\dfrac{3 \text{ eggs}}{1 \text{ cake}} = \dfrac{40 \text{ eggs}}{x \text{ cakes}}$

Cross multiply and solve for the variable $x$:

3$x$ = 40 → $x$ = 13$\frac{1}{3}$

Only 13 pounds of cake can be made.
 Question 4
Evaluate:

$x^4 − y$   if   $x$ = 3 and $y$ = 20

 A 61 B 65 C −8 D −10
Question 4 Explanation:
Substitute the values of $x$ and $y$ into the given equation and evaluate:

= 34 − (20)
= 81 − 20
= 61
 Question 5
Subtract: 1001 − 99 =

 A 900 B 902 C 999 D 1,000
Question 5 Explanation:
Count up from 99 to 100 (+1) and from 100 to 1001 (+901). The answer is the sum of 901 and 1.
 Question 6
Add: 9.43 + 11.3 =

 A 21.73 B 10.7 C 20.73 D 25.85
Question 6 Explanation:
Vertically align the numbers so that the decimals are on top of each other:

\begin{align} 9.43& \\ \underline{+\quad 11.30}& \\ 20.73& \end{align}
 Question 7
Multiply: (226)(55.3) =

 A 24,277.3 B 12,497.8 C 32,449.3 D 11,936.5
Question 7 Explanation:
To multiply decimals, line up the numbers on the right (do not align the decimal points). Then starting on the right, multiply each digit of the top number by each digit of the bottom number. Then add the products:

\begin{align} 226& \\ \underline{×\quad 55.3}& \\ 678 \\ 1130 \phantom{0} \\ \underline{+\quad 1130\phantom{00}}& \\ 124978& \end{align}

Once you have added the products, you must place the decimal point correctly. There are zero decimal places in 226 and one decimal place in 55.3, which gives us a total of one decimal place. Starting at the right of our answer move one place to the left and put the decimal point there:

$12{,}497.8$
 Question 8
How many millimeters are there in 5 meters?

 A 500 B 5,000 C 50,000 D 500,00
Question 8 Explanation:
The prefix “milli-” means 1,000. There are 1,000 millimeters in 1 meter, so there are 5,000 millimeters in 5 meters. Alternatively, use dimensional analysis to convert:

$5 \text{ meters} \ast \frac{100 \text{ cm}}{1 \text{ meter}} \ast \frac{10 \text{ mm}}{1 \text{ cm}}$ $= 5000 \text{ cm}$

• 1 Kilometer = 1,000 Meters
• 1 Meter = 100 Centimeters
• 1 Centimeter = 10 Millimeters
 Question 9
Which of the following is equivalent to 0.0009?

 A 0.0009% B 0.009% C 0.09% D 0.9%
Question 9 Explanation:
In order to convert a decimal to a percent you need to move the decimal point two places to the right and add the percent symbol. This is equivalent to dividing the original value by 100.
 Question 10
Write the number 1906 in Roman numerals.

 A MCMLXVIII B MCMXVI C MCMVI D XIXVI
Question 10 Explanation:
In Roman Numerals:

• M = 1000
• D = 500
• C = 100
• L = 50
• X = 10
• V = 5
• I = 1
You must treat ones, tens, hundreds, and thousands as separate items. A smaller item in front of a larger item indicates subtraction.

1000 = M
900 = CM
6 = VI
 Question 11
Convert the following military time to regular time:

15:17:52 hours

 A 5:17:52 AM B 5:17:52 PM C 3:17:52 AM D 3:17:52 PM
Question 11 Explanation:
For a military time that's 13 hours or higher, simply subtract 12 hours to get the standard time. Also, since the military time in this case starts higher than 12 hours, we know that it is PM.
 Question 12
Solve:

2 − 8 ÷ (24 ÷ 2) =

 A −6 B −¾ C 1 D 2
Question 12 Explanation:
Remember your order of operations:

• Complete operations within parentheses first.
• Calculate exponents.
• Then multiply and divide in order from left to right.
• Then add and subtract in order from left to right.
2 − 8 ÷ (24 ÷ 2) =
2 − 8 ÷ (16 ÷ 2) =
2 − 8 ÷ 8 =
2 − 1 =
1
 Question 13
Solve the proportion (find the value of $x$):

$9:14 \; :: \; x:56$

 A $x$ = 14 B $x$ = 25 C $x$ = 36 D $x$ = 42
Question 13 Explanation:
The first step to solving a proportion problem is to rewrite the problem as a fraction.

$\dfrac{9}{14} = \dfrac{x}{56}$

Then you cross-multiply and solve the resulting equation.

14$x$ = (9)(56)

14$x$ = 504

$x$ = $\frac{504}{14}$

$x$ = 36
 Question 14
How many centimeters are there in a foot?

 A 12 B 24.5 C 30.5 D 36
Question 14 Explanation:
There are 2.54 cm in one inch, and 12 inches in a foot:

(12)(2.54) = 30.48

• 2.54 cm = 1 inch
• 0.39 inch = 1 cm
 Question 15
Joe makes \$20 an hour and Tim makes \$30 an hour. How many hours more than Tim must Joe work to earn the same amount Tim makes in 4 hours?

 A 1 B 2 C 3 D 4
Question 15 Explanation:
Tim will make \$120 in 4 hours and Joe will need 6 hours to make \$120. So 6 − 4 = 2
 Question 16
Solve for x:

3(x − 4) = 18

 A x = 3/2 B x = 22/3 C x = 6 D x = 10
Question 16 Explanation:
This is a basic algebra problem where you are need to solve for a variable. To solve this, first divide both sides by 3:
3(x − 4) = 18
x − 4 = 18/3
x − 4 = 6

Then solve for x:
x − 4 = 6
x = 6 + 4
x = 10
 Question 17
There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?

 A 2,263 B 4,394 C 1,098 D 66
Question 17 Explanation:
If 34% of the marbles are white, then 66% must be black.
(0.66)(6,657) = 4,393.62
 Question 18
At a comic book store, Robert purchased three comics for \$2.65 each. If he paid with a \$20 bill, how much change did he receive?

 A $12.05 B$13.15 C $13.85 D$17.35
Question 18 Explanation:
Three comics at \$2.65 would equal a total of \$7.95. The change would equal \$20 − \$7.95 = \$12.05.  Question 19 What is the boiling point of water?  A 32° Fahrenheit B 100° Fahrenheit C 100° Celsius D 212° Celsius Question 19 Explanation: The boiling point of water is 100° Celsius or 212° Fahrenheit. The freezing point of water is 0° Celsius or 32° Fahrenheit.  Question 20 How many ounces are in a ton?  A 1,600 B 2,000 C 16,000 D 32,000 Question 20 Explanation: There are 16 ounces in a pound and 2,000 pounds in a ton: (16)(2,000) = 32,000  Question 21 Subtract: 8,674.5 − 998.9 =  A 4,445.67 B 7,675.6 C 8,294.6 D 3,349.5  Question 22 Add: 1.332 + 0.067  A 2.139 B 1.453 C 1.399 D 1.378  Question 23 Multiply: (44.44)(55.55) =  A 2,467.64 B 2,468.64 C 3,000.46 D 155  Question 24 Divide: 223 ÷ 65 =  A 5.1 B 3.4 C 2.3 D 1.2  Question 25 How many yards are in a mile?  A 1,000 B 1,760 C 5,280 D 10,000 Question 25 Explanation: Remember that one mile is equal to 1,760 yards. • 1 Mile = 1,760 Yards • 1 Mile = 5,280 Feet • 1 Yard = 3 Feet • 1 Foot = 12 Inches  Question 26 A rat can finish a maze in about 3 minutes. If a small backpack is put on the rat so it reduces its speed by 50%, how much longer will it take the rat to finish the maze?  A 3 minutes B 6 minutes C 10 minutes D 12 minutes Question 26 Explanation: If the rats speed is reduced by 50%, then it will take the rat twice as long, or 6 minutes. This is 3 minutes longer than it took before.  Question 27 A nurse's schedule is written in military time, and shows their shift is from 1500 to 0100. When will they get off work?  A Noon B Early afternoon C Just before midnight D A little bit after midnight Question 27 Explanation: Converted to regular time, their schedule is 3:00 PM to 1:00 AM. So they will get off at 1:00 AM, which is a little bit after midnight.  Question 28 Convert 26° Celsius to Fahrenheit.  A −3.3° F B −6° F C 46.8° F D 78.8° F Question 28 Explanation: To convert from Celsius to Fahrenheit you can use this formula: (°C × 9/5) + 32 = °F Or you can just follow these steps: 1) Multiply by 9 2.) Divide by 5 3.) Add 32  Question 29 Convert 104° Fahrenheit to Celsius.  A 40° C B 72° C C 190.2° C D 360° C Question 29 Explanation: To convert from Celsius to Fahrenheit you can use this formula: (°F − 32) x 5/9 = °C Or you can just follow these steps: 1) Deduct 32 2.) Multiply by 5 3.) Divide by 9  Question 30 Multiply: (0.67)(0.09) =  A 0.000603 B 0.00603 C 0.0603 D 0.603 Question 30 Explanation: The product of two decimals will always have the same number of decimal places as the sum of the number of decimal places that the multiplicand and the multiplier have. (67)(9) = 603. The multiplicand is .67 and has 2 decimal places. The multiplier is .09 and has 2 decimal places. Our product should have 4 decimal places. Therefore, our answer is .0603. Don't get tripped up by the extra zeros. Zeros before our answer and after the decimal point increase the number of decimal places. Zeros after our answer and after the decimal point do not increase the number of decimal places.  Question 31 A nurse working at a medical clinic earns \$17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax \$102.80, state tax \$24.58, federal insurance \$18.13, and family health insurance \$52.15. What is the nurse's take-home pay each week?

 A $158.54 B$443.50 C $514.74 D$641.16
Question 31 Explanation:
First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week.

Beginning Salary = 36 × \$17.81 = \$641.16

Deductions = \$102.80 + \$24.58 + \$18.13 + \$52.15 = \$197.66 Take-Home Pay = \$641.16 − \$197.66 = \$443.50
 Question 32
There are 48 students studying foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

 A 2/7 B 1/2 C 1/3 D 5/12
Question 32 Explanation:
If there are 48 total, and 28 study French, then 20 study Spanish. The ratio of 20 to 48 = 20/48 = 10/24 = 5/12.
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