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 \(– \ 8\).