Full Length ASVAB Math Practice Test

The correct answer is \(700\)
Area of a rectangle = width × length = \(20 \ × \ 35 =700\)

The correct answer is \($\ 37\)
The base rate is \($\ 25\).
The fee for the first \(30\) visits is:\(30 \ × \ 0.30=9\)
The fee for the visits \(31\) to \(50\) is: \(20 \ × \ 0.15=3\)
Total charge: \(25 \ + \ 9 \ + \ 3 = 37\)

The corrrect answer is \($\ 300\)
\(45 \  ÷ \  3 = 15\) hours for one course
\(15 \  × \ 20 = 300 ⇒ $\ 300\)

The correct answer is \(138\)
Since Alex gives \(6\) pieces of candy to each of his friends,
then number of pieces of candies must be divisible by \(6\).
\(138 \ ÷ \ 6 =23\)
\(218 \  ÷ \ 6 = 36.33\)
\(442 \ ÷ \ 6 = 73.66\)
\(213 \  ÷ \ 6 = 35.5\)
Only choice a gives a whole number.

The correct answer is \(30\) miles
\(average=\frac{sum}{total}=\frac{36 \ + \ 30 \ + \ 24}{3}=\frac{90}{3}=30\)

The correct answer is \(17\)
Jennifer= Ashly \(– \ 14\)
Jennifer= John \(– \ 6\)
Ashly  +  Jennifer  +  John \(= 71\)
Ashly \(- \ 14 =\) Jennifer        ⇒Ashly = Jennifer \(+ \ 14\)
Ashly + Jennifer + John \(= 71\)
Now, replace the ages of Ashly and John by Jennifer. Then:
Jennifer \(+ \ 14 \ +\) Jennifer + Jennifer \(+ \ 6  = 71\)
\(3\) Jennifer \(+ \ 20= 71\) ⇒ \(3\) Jennifer \(= 71 \ – \ 20\)
\(3\) Jennifer \(= 51\)
Jennifer \(= 17\)

The correct answer is \(17\)
average =\(\frac{sum}{total}\)
sum\(=3 \ +  \ 15 \ + \ 24 \ + \ 8 \ + 22 \ + \ 30 =102\)
Total number of numbers = \(6\)
average = \(\frac {102}{6} =17\)

The correct answer is \(720\) minutes
distance=speed ×time ⇒\(time=\frac{distanc}{speed}=\frac{840}{70}=12\)
(Round trip means that the distance is \(840\) miles)
The round trip takes \(12\) hours. Change hours to minutes, then:
\(12 \ × \ 60=720\) minutes

The correct answer is \(\$ 63.3\)
The amount they have = \($\ 12.25 \ + \ $\ 14.25 \ + \ $\ 17.35 \ + \ $\ 19.45 = $\ 63.3\)

The correct answer is \(2 \ ×  \ 2 \ × \ 2 \ × \ 5 \ × \ 7\)
Find the value of each choice
\(2 \ ×  \ 2 \ × \ 2 \ × \ 5 \ × \ 7=280\)
\(2 \ × \ 2 \ × \ 2 \  × \  2 \ × \ 5 \ × \ 7=560\)
\(2 \ ×  \ 2 \ ×  \ 2 \ ×  \ 2 \ ×  \ 5=80\)
\( 2 \  × \  2 \ × \ 7=28\)

The correct answer is  \(8\) Times
Change \(6\) hours to minutes, then: \(6 \ × \ 60 = 360\) minutes
\(\frac{360}{45}= 8\)

The correcst answer is \(\frac{1}{7}\)
probability=\(\frac{desird \ outcomes}{possible \ outcomes}=\frac{4}{3 \ + \ 6 \ + \ 8 \ + \ 11}=\frac{4}{28}=\frac{1}{7}\)

The correct answer is \($\ 90\)
\(200 \ - \ 50 \  - \ 60 =90\)

The correct answer is \(80\)
\(12\) dozen of magazines are \(144\) magazines: \(12 \ × \ 12 = 144\)
\(144 \ – \ 64 = 80\)

The  correct answer is \(18\)
Each worker can walk \(3\) dogs: \(12 \  ÷ \ 4 = 3\)
\(6\) workers can walk \(18\) dogs.
\(6 \ × \ 3 = 18\)

The correct answer is \(3\) Trips
\(1\) ton = \(2,000\) pounds
\(4\)  ton = \(8,000\) pounds
\(\frac{24000}{8000}= 3\)
Bob  needs to make at least \(3\) trips to deliver all of the food.

The correct answer is \(3\) Trips
\(1\) ton = \(2,000\) pounds
\(4\)  ton = \(8,000\) pounds
\(\frac{24000}{8000}= 3\)
Bob  needs to make at least \(3\) trips to deliver all of the food.

The correct answer is \(12\)
If \(a = 6\) then:
\(b =\frac{a^2}{6}+ \ 6 \)⇒ \(b =\frac{6^2}{6} \ + \ 6 = 6 \ + \ 6 = 12\)

The correct answer is \(28.26\) square inches
(r = radius)
Area of a circle = \(π \ r^2 = π \ × \ (3)^2 = 3.14 \ × \ 9 = 28.26\)

The correct answer is \( 45^\circ\)
All angles in a triangle add up to \(180\) degrees.
\(90^\circ \ + \ 45^\circ = 135^\circ\)
\(x = 180^\circ \ − \ 135^\circ = 45^\circ\)

The correct answer is \(2\)
\(\sqrt[8]{256} = 2\)
\(2^8=2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 2=256\)

The correct answer is \(- \ 9\)
\(- \ 9 \ a = 81\) ⇒ \(a = \frac{81}{- \ 9}= - \ 9\)

The correct answer is \(1\)
\(4 \ (a \ + \ 5)=24 ⇒ 4 \ a \ + \ 20=24 ⇒4 \ a=24 \ - \ 20=4 \)
⇒\(4 \ a=4⇒a=\frac{4}{4}=1\)

The correct answer is \(9.219\)
Use Pythagorean Theorem: \(a^2 \ + \ b^2 = c^2\)
\((6)^2 \ + \ (7)^2 = c^2\) ⇒ \(36 \ + \ 49 = 85 = C^2\)
\(C =\sqrt{85} = 9.219\)

The correct answer is \(160^\circ\)
An obtuse angle is an angle of greater than \(90\) degrees and less than \(180\) degrees.
Only choice A is an obtuse angle.

The correct answer is \(14\)
Use exponent multiplication rule:
\(x^a . x^b = x^{a \ + \ b}\)
Then;
\(3^{21}=3^7 \ × \ 3^ \ x=3^{7 \ + \ x}\)
\(21 = 7 \ + \ x ⇒x=21 \ - \ 7=14\)

The correct answer is \((x \ + 7) \ (x \ - \ 1)\)
To factor the expression \(x^2 \ + \ 6x \ – \ 7\),
we need to find two numbers whose sum is \(6\) and their product is \(- \ 7\).
Those numbers are \(7\) and \(- \ 1\). Then:
\(x^2 \ + \ 6x \ - \ 7=(x \ + \ 7) \ (x \ - \ 1)\)

The correct answer is \(6\) cubed
Only choice b is not equal to \(6^2\)
\(6\) cubed \(=\) \(6^3\)

The correct answer is \(3\)
Slope of a line:\(\frac{y_2 \ - \ y_1}{x_2 \ - \ x_1}=\frac{rise}{run}\)
\(\frac{y_2\ - \ y_1}{x_2 \ - \ x_1}=\frac{8 \ - \ 5}{5 \ - \ 4}=\frac{3}{1}= 3\)

The correct answer is \(8.5432 × 10^5\)
In scientific notation form, numbers are written with one whole number times \(10\) to the power of a whole number.
Number \(854,320\) 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:
\(854,320 = 8.5432 \ × \ 10^5\)

The correct answer is \(45\)
\(\sqrt{81} =9\)
\(\sqrt{25} = 5\)
\(9 \ × \ 5 =45 \)

The correct answer is \(13\)
\(\sqrt[3]{2,197} = 13\)

The correct answer is \(6 \ x^2 \ + \ 17 \ x \ + \ 12\)
Use FOIL (first, out, in, last) method.
\((2 \ x \ + \ 3) \ (3 \ x \ + \ 4) = 6 \ x^2 \ + \ 8 \ x \ + \ 9 \ x \ + \ 12 = 6 \ x^2 \ + \ 17 \ x \ + \ 12\)