Full Length ATI TEAS 6 Practice Test

The correct answer is $25.12$
Circumference $= 2 \ πr$
$C = 2 \ π \ × \ 4 = 9 \ π$ 
$π = 3.14    →      C = 8 \ π = 25.12$

The correct answer is $0$
$(5.2 \ + \ 5.3 \ + \ 5.5) \ x =16 x$
$16 \ x = x$
Then $x = 0$

The correct answer is $\frac{5}{2}$
$\frac{1}{x} = \frac{\frac{1}{1}}{\frac{5}{2}} = \frac{5}{2}$

The correct answer is $2 \ (x \ – \ 5)$
Let $a$ and $b$ be the numbers. Then: $a \ + \ b = x$
$a=5  →  5 \ + \ b=x  →  b=x \ - \ 5$
$2 \ b = 2 \ (x \ – \ 5)$

The correct answer is $2 \ \frac{20}{42}$
Converting mixed numbers to fractions, our initial equation becomes
$\frac{8}{3} \ × \ \frac{13}{4}$
Applying the fractions formula for multiplication
$\frac{8 \ × \ 13}{3 \ × \ 14} = \frac{104}{42} = 2 \ \frac{20}{42}$

The correct answer is $0.45$
$\frac{9}{20} =0.45$

The correct answer is $4.5$
If  $4.5 \ < \ x \ ≤ \ 8.0$, then $x$ cannot be equal to $4.5$.

The correct answer is $150$
$25 \ ÷ \ \frac{1}{6}=150$

The correct answer is $\frac{3}{2}$
$\frac{15}{10} = \frac{3}{2}$

The correct answer is $125$
$\frac{5^{4}}{5} = 5^{3} = 125$

The correct answer is $6$ meters
Perimeter of a rectangle $= 2$ (width $+$  length)
P $= 36$, width $= 2 \ ×$ length
Then: $36=2 \ (2$ length $+$ length) $→  \  36=6$ length $→$  length$=6$

The correct answer is $45$
Let $x$ be the average of numbers. Then:
$\frac{150}{5} \ < \ x \ < \ \frac{250}{5}$
$30\ < \ x \ < \ 50$
From choices provided, only $45$ is correct.

The correct answer is $4$  hours
The distance between Alex and Jack is $6$ miles.
Alex running at $4.5$ miles per hour and Jack is running at the speed of $6$ miles per hour.
Therefore, every hour the distance is $1.5$ miles less.
$6 \ ÷ \ 1.5 = 4$

The correct answer is $\frac{1}{2}$
$3 \ \frac{1}{2} \ − \ 2 \ \frac{5}{6} = 3 \ + \ \frac{1}{3} \ - \ 2 \ - \ \frac{5}{6} = \frac{1}{2}$

The correct answer is $10$
Volume $=$ length $×$ width $×$ height
$3000 = 15 \ × \ 20 \ ×$ height $→$ height $= 10$

The correct answer is $9$ feet
yards $= 12$ feet
$\frac{(15 feet +7 yrds)}{4} = \frac{(15 feet +21 feet)}{4} = \frac{(36 feet)}{4} = 9$ feet

The correct answer is $8 \ + \ c$
If $a = 4$  then: $b = \frac{4^{2}}{2} \ + \ c ⇒$
$b = \frac{4^{2}}{2} \ + \ c = 8 \ + \ c$

The correct answer is $156$ inches
$1$ foot $= 12$ inches
$4$ feet, $8$ inches $=56$ inches
$7$ feet, $16$ inches $= 100$ inches
$56 \ + \ 100 =156$

The correct answer is $(-3, -12)$
Let’s review the choices provided. Put the values of $x$ and $y$ in the equation.
A. $(2, 4)$              ⇒ $x = 2$ ⇒ $y = 4$                This is true!
B. $(−3, −12)$       ⇒ $x = -3$ ⇒ $y = -11$       This is not true!
C. $(3, 7)$            ⇒ $x = 3$ ⇒ $y = 7$                 This is true!
D. $(1, 1)$              ⇒ $x = 1$ ⇒ $y = 1$                This is true!
Only choice B does not work in the equation.

The correct answer is $151$
Circumference $= 2 \ π \ r →$
Circumference $= 2 \ (3.14) \ (24) = 150.72 \cong 151$

The correct answer is $58$ degrees
All angles in a triangle sum up to $180$ degrees.
$57 \ + \ 65 = 122$
$180 \ – \ 122 = 58$, The third angle is $58$ degrees.

The correct answer is $3$ hours
Jason spent $10\%$ of his total time ($30$ hours) on Physics.
Then: $\frac{10}{100} \ × \ 30 = 3$

The correct answer is approximately $70$ hours
Speed $= \frac{distance}{time}$
$60 = \frac{4,200}{time}→$ tme $=\frac{4,200}{60} = 70$

The correct answer is $32$
Plug in $120$ for F in the equation:
C $= \frac{2}{6}$ (F $– \ 24) = \frac{2}{6} \ (120 \ – \ 24) = \frac{2}{6} \ (96) = 32$

The correct answer is $10$ hours
Jason spent $50\%$ of his time on Biology and History.
Then: $\frac{50}{100} \ × \ 20 = 10$

The correct answer is $342$
Since Lucy gives $6$ pieces of candy to each of her friends, then, then number of pieces of candies must be divisible by $6$.
A.  $125 \ ÷ \ 6 = 20.833$
B.  $235 \ ÷ \ 6 = 39.166$
C.  $342 \ ÷ \ 6 =57$
D.  $223 \ ÷ \ 6 = 37.166$
Only choice C gives a whole number.

The correct answer is $1.66$
$\frac{1}{2} \ + \ \frac{3}{6} \ + \ \frac{2}{3}= \frac{3 \ + \ 3 \ + \  4}{6}=\frac{10}{6}=1.66$

The correct answer is $0.89$ D
To find the discount, multiply the number by ($100\%   \ –$   rate of discount).
Therefore, for the first discount we get: (D) ($100\% \ – \ 15\%$) = (D) ($0.85$) = $0.85$ D
For increase of $5\%$ : ($0.85$ D) ($100\% \ + \ 5\%$) = ($0.85$ D) ($1.05) = 0.89$ D $= 89\%$ of D or $0.89$ D

The correct answer is $$3.8$
$25\%$ of $x = 15.20$
$x=\frac{25 \ × \ 15.20}{100}=3.8$

The correct answer is $25$
$\frac{1}{8}=0.125→C=5, \frac{1}{20}=0.05→D=5→$
$C \ × \ D=5 \ × \ 5=25$

The correct answer is ($1,\050\)
Use simple interest formula:
$I= prt$
($I=$ interest, $p=$ principal, $r=$ rate, $t=$ time)
$I=(14000) \ (0.025) \ (3)=1,050$

The correct answer is $115 \ x \ + \ 12,000 \ ≤ \ 25,000$
Let $x$ be the number of new shoes the team can purchase.
Therefore, the team can purchase $115 \ x$.
The team had $$25,000$ and spent $$12,000$.
Now the team can spend on new shoes $$8,000$ at most.
Now, write the inequality:
$115 \ x \ + \ 12,000 \ ≤ \ 25,000$

The correct answer is $5$
Let $x$ be the number. Then: $4 \ x \ + \ 5=25$
Solve for $x: \ 4 \ x \ + \ 5=25   →4 \ x=25 \ - \ 5=20   →x=20 \ ÷ \ 4=5$

The correct answer is $\frac{1}{5}$
$\frac{3}{2} \ x \ + \ \frac{1}{5}= \frac{1}{2}  \  →\frac{3}{2} \ x = \frac{1}{2} \ - \ \frac{1}{5}  \  →$
$\frac{3}{2} \ x =\frac{5 \ - \ 2}{10}  \  →\frac{3}{2} \ x = \frac{3}{10}$
$x = \frac{6}{30} = \frac{1}{5}$

The correct answer is $\frac{1}{4}$
To get a sum of $4$ for two dice, we can get $3$ different options:
$(1, 3)$, $(2, 2)$, $(3, 1)$
To get a sum of $7$ for two dice, we can get $6$ different options:
$(1, 6)$, $(2, 5)$, $(3, 4),\ (4 , 3) , \ ( 5 , 2) , \ (6 , 1)$
Therefore, there are $9$ options to get the sum of $4$ or $7$.
Since, we have $6 \ × \ 6 = 36$ total options, the probability of getting a sum of $4$ and $7$ is $9$ out of $36$ or $\frac{1}{4}$.

The correct answer is D
Solve for $x$. $-2 \ ≤ \ 2 \ x \ - \ 4 \ < \ 8    ⇒$ (add $4$ all sides) $-2 \ + \ 4 \ ≤ \ 2 \ x \ - \ 4 \ + \ 4 \ < \ 8 \ + \ 4$
$⇒ \ 2 \ ≤ \ 2 \ x \ < \ 12 \ ⇒$ (divide all sides by $2) \ 1 \ ≤ \ x \ < \ 6 \ x$ is between $1$ and $6$.
Choice D represent this inequality.