Free Full Length ASVAB Math Practice Test

The correct answer is $36\%$
$50 \ – \ 32 =18$ male students
$\frac{18}{50}= 0.36$
Change $0.36$ to percent ⇒$0.36 \ × \ 100 = 36\%$

The correct answer is $8640$
$3$ weeks = $18$ days
Then:
$18 \ × \ 8 = 144$ hours
$144 \ × \ 60 = 8,640$ minutes

The correct answer is $54$
Cathrine’s three best times are $52 \ ,\ 53$, and $57$.
The average of these numbers is:
average$=\frac{sum}{total}$
Sum $= 52 \ + \ 53 \ + \ 75 = 162$
Total number of numbers = $3$
average$=\frac {162}{3}=54$

The correct answer is $1200$ minutes
distance=speed ×time ⇒time=$\frac{distance}{speed}=\frac{400 \ + \ 400}{40}=20$
(Round trip means that the distance is $800$ miles)
The round trip takes $20$ hours. Change hours to minutes, then:
$20 \ × \ 60=1200$

The correct answer is $144$ square feet
The area of a $12$ feet x $12$ feet room is $144$square feet.
$12 \  × \ 12  = 144$

The correct answer is $18.83$
average=$\frac{sum}{total}$
Sum = $5 \ + \ 8 \ + \ 18 \ + \ 20 \ + \ 30 \ + \ 32 = 113$
Total number of numbers = $6$
$\frac{113}{6} =18.83$

The correct answer is $14$
The factors of $40$ are:
${1 \ , \ 2 \ , \ 4 \ , \ 10 \ , \ 20 \ , 40}$
$14$ is not a factor of $40$.

The correct answer is $9$
Emma = Lucy
Emma = $3$ Mike        ⇒Lucy = $3$ Mike
Lucy = Mike $+ \ 18$
then:
Lucy = Mike $+ \ 18$   ⇒$3$ Mike = Mike $+ \ 18$
Remove $1$ Mike from both sides of the equation. Then:
$2$ Mike = $18$⇒ Mike =$9$       

The correct answer is $100$
$1.295432 \ × \ 100 = 129.5432$

The correct answer is $$\ 37.1$ an hour
$6$ percent of $35$ is: $35 \ × \frac{6}{100} =2.1$
Emily’s new rate is $37.1$.
$35 \ + \ 2.1= 37.1$

The correct answer is $42$
Let’s review the choices provided and find their sum.
$22 \  × \ 4 = 88$
$25 \ × \ 4 = 100$
$32 \ × \ 4 = 128$
$42 \ × \ 4 = 168$⇒is greater than $150$ and less than $170$
Only choice d gives a number that is greater than $150$ and less than $170$.

The correct answer is $4,200$ minutes
$14$ days
$14 \ × \ 5 = 70$ hours
$70 \ × \ 60 = 4,200$ minutes

The correct answer is $120$ hours
$\frac{1 \ hour}{20 \ coffees}= \frac{x}{2400}$ ⇒$20 \ × \ x = 1 \ × \ 2,400⇒20 \ x=2,400$
$x=120$
It takes $120$ hours until she’s made $2,400$ coffees.

The correct answer is $22.5$
Sum $= 18 \ + \ 24 \ + \ 12 \ + \ 36 = 90$
average$=\frac{90}{4} =22.5$

The correct answer is $55$ miles
Speed = $\frac{distance}{ time}$
$15.2 =\frac{distance}{ 3.6}$ ⇒ distance $=15.2 \ × \ 3.6=54.72$
Rounded to a whole number, the answer is $55$.

The correct answer is $240$ yards
Perimeter of a rectangle $= 2 \ ×$length $+ \ 2 \ ×$width =
$2 \ × \ 80 \ + \ 2 \ × \ 40 = 160 \ + \ 80 = 240$

The correct answer is $8$ quarters
Two candy bars costs $90\ ¢$ and a package of peanuts cost $65\ ¢$ and a can of cola costs $45\ ¢$. The total cost is:
$90 \ + \ 65 \ + \ 45= 200$
$200$ is equal to $8$ quarters.
$8 \ × \ 25 = 200$

The correct answer is $48$
$\sqrt{64} \ × \sqrt{36} = 8 \ × \ 6 = 48$

The correct answer $31$
$132 \ – \ 8=124$
$\frac{124}{4}=31$

The correct answer is $13$ miles
Write a proportion and solve.
$\frac{\frac{1}{2}inches}{6.5}$=$\frac{1 \ mile}{x}$
Use cross multiplication, then:
$\frac{1}{2} \ x=6.5 → x=13$

The correct answer is $4.54\%$
percent of change$=\frac{change}{original \ number}$
$5.75 \ – \ 5.50 = 0.25$
percent of change$=\frac{0.25}{5.50} = 0.0454 ⇒0.0454 \ × \ 100 = 4.54\%$

The correct answer is $10$
Every day the hour hand of a watch makes $2$ complete rotation. ($\frac{360}{30}=12$ ⇒ a complete rotation takes $12$ hour, $\frac{24}{12}=2$) Thus, it makes $10$ complete rotations in $5$ days.
$2 \ × \ 5 = 10$

The correct answer is $0.45\%$
To convert a decimal to percent, multiply it by $100$ and then add the percent sign (%).
$0.0045 \ × \ 100 = 0.45\%$

The correct answer is $735,616$
The difference of the file added, and the file deleted is:
$325,159 \ – \ 312,671 = 12488$
$723,128 \ + \ 12,488 = 735,616$

The correct answer is $$\ 46.8$
$25\% \ × \ 60 = \frac{25}{100} \ × \ 60=15$
The coupon has $$\ 15$ value.
Then, the selling price of the sweater is $$\ 45$.
$60 \ – \ 15 = 45$
Add $4\%$ tax, then:
$\frac{4}{100} \ × \ 45 = 1.8$ for tax
then:
$45 \ + \ 1.8 = $\ 46.8$

The correct answer is $3,360$ minutes
$2$ Weeks $= 14$ Days
$4$ hours $× 14$ Days $= 56$ hours
$56$ hours $=3,360$ minutes

The correct answer is $2$ weeks
$1$ quart $= 0.25$ gallon
$24$ quarts $= 24 \ × \ 0.25 =6$ gallons
then:
$\frac{6}{3} = 2$ weeks

The correct answer is $- \ 2$
$6  \ y \ + \ 5 \ y \ + \ 4 \ y = − \ 30 ⇒ 15 \ y = − \ 30 ⇒ \ y = − \ 2$

The correct answer is $3$
$3\frac{3}{2} \ − \ 1\frac{2}{4}= 3\frac{6}{4} \ − \ 1 \frac{2}{4} = \frac{18}{4} \ − \frac{6}{4}= \frac{12}{4} = 3$

The correct answer is $7$
$210 \ ÷ \ 30 = 7$

The correct answer is $35$
From the choices provided, $10 \ , \ 20$ and $35$ are divisible by $5$. From these numbers, $35$ is the biggest.

The correct answer is $x^2 \ + \ 7 \ x \ + \ 12$
Use FOIL (First, Out, In, Last) method.
$(x \ + \ 4) \ (x \ + \ 3) = x^2 \ + \ 3 \ x \ + \ 4 \ x \ + \ 12 = x^2 \ + \ 7 \ x \ + \ 12$

The correct answer is $4$
Oven $1$ = $3$ oven $2$
If Oven $2$ burns $4$ then oven $1$ burns $12$ pizzas. 
$4 \ + \ 12 = 16$      

The correct answer is $4.2 \ × \ 10^5$
In scientific notation form, numbers are written with one whole number times $10$ to the power of a whole number.
Number $420,000$ has $6$ digits.
Write the number and after the first digit put the decimal point.
Then, multiply the number by $10$ to the power of $5$ (number of remaining digits). Then:
$420,000 =4.2 \ × \ 10^5$

The correct answer is $125^\circ$
An obtuse angle is an angle greater than $90^\circ$ and less than $180^\circ$.

The correct answer is $45$
Perimeter of a triangle = side $1 +$ side $2 +$ side $3 = 15 \ + \ 15 \ + \ 15 = 45$

The correct answer is $5^9$
Use exponent multiplication rule:
$x^a \ . \ x^b = x^{a \ + \ b}$
Then: $5^3 \ × \ 5^6 = 5^9$

The correct answer is $113.04$
Diameter $= 12$
then: Radius $=6$
Area of a circle $= π \ r^2$ ⇒ A $= 3.14 \ (6)^2  =113.04$ 

The correct answer is $6589.5$
$6589.49235$ rounded to the nearest tenth equals $6589.5$
(Because $6589.49$ is closer to $6,589.5$ than $6,589.4$)

The correct answer is $5 \ × \ 4 \ × 3 \ × 2 \ × \ 1$
$5! = 5 \ × \ 4 \ × \ 3 \ × \ 2 \ × \ 1$

The correct answer is $8$
$\sqrt[3]{512} = 8$

The correct answer is $(1 \ , \ 2)$
Let’s review the choices provided. Put the values of $x$ and $y$ in the equation.
$(1\ , \ 2) ⇒x = 1 ⇒y = 4$ This is not true!
$(2 \ , \ 10) ⇒x = 2 ⇒y = 10$ This is true!
$(- \ 1 \ , \ - \ 8) ⇒ x = - \ 1 ⇒y = - \ 8$ This is true
$(3 \ , \ 16) ⇒x = 3 ⇒y = 16$ This is true!

The correct answer is $25,200$ square feet
Area of a rectangle = width $×$ length $= 120 \ × \ 210 = 25,200$

The correct answer is $5$
Use distance formula:
$d=\sqrt{(x_1 \ - \ x_2)^2 \ + \ (y_1 \ - \ y_2)^2} =\sqrt{(1 \ - \ (- \ 2))^2 \ + \ (3 \ - \ 7)^2}$
$\sqrt{9 \ + \ 16} =\sqrt{25} = 5$

The correct answer is $10000$
Number $3.356452$ should be multiplied by $10,000$ in order to obtain the number $33,564.52$
$3.356452 \ × \ 10,000 = 33,564.52$

The correct answer is $49$
From the list of numbers $7 \ , \ 11$, and $31$ are prime numbers.
Their sum is:
$7 \ + \ 11 \ + \ 31= 49$

The correct answer is $52$
Let’s review the choices provided.
$40 \ × \ 5 = 200$
$52 \  × \ 5 = 260$
$70 \ × \ 5 = 350$
$68 \ × \ 5 = 340$
From choices provided, only $260$ is greater than $240$ and less than $320$.

The correct answer is $\frac{1}{2}$
$50\% =\frac{50}{100} =\frac{1}{2}$

The correct answer is $36$
The cube of $6 = 6 \ × \ 6 \ × \ 6 = 216$
$\frac{1}{6} \ × \ 216 =36$

The correct answer is $36 \ x^8$
$4 \ (3 \ x^4)^2⇒  4 \ × \ 3^2 \ × \ x^8  = 36 \ x^8$

The coorect answer is $120^\circ$
Two Angles are supplementary when they add up to $180$ degrees.
$120^\circ \ + \ 60^\circ = 180^\circ$

The correct answer is $64$
factor of $24 = {1 \ , \ 2 \ , \ 3 \ , \ 4 \ , \ 6 \ , \ 8 \ , \ 12 \ , \  24}$
$64$ is not a factor of $24$.

The correct answer is $11$
$2 \ – \ (– \ 9) = 2 \ + \ 9 = 11$

The correct answer is $18$
$\frac{30}{100} \ × \ 60 =18$

The correct answer is $8$
$x^2 \ – \ 64 = 0 ⇒ x^2 = 64 ⇒x$ could be $8$ or $– \ 8$.