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.
$(2 \ x \ + \ 3) \ (3 \ x \ + \ 4) = 6 \ x^2 \ + \ 8 \ x \ + \ 9 \ x \ + \ 12 = 6 \ x^2 \ + \ 17 \ x \ + \ 12$