Full Length STAAR Grade 6 Practice Test

The correct answer is $60 \ x \ - \ 80$
$5 \ ( 12 \ x \ - \ 16)=(5 \ × \ 12 \ x) \ - \ (5 \ × \ 16)=(5 \ × \ 12) \ x \ - \ (5 \ × \ 16)=60 \ x \ - \ 80$

The correct answer is $(- \ 1,2)$
The coordinate plane has two axes.
The vertical line is called the $y-$axis and the horizontal is called the $x-$axis.
The points on the coordinate plane are address using the form $(x,y)$.
The point A is one unit on the left side of $x-$axis, therefore its $x$ value is $- \ 1$ and it is two units up, therefore its $y-$axis is $2$.
The coordinate of the point is: $(- \ 1,2)$

The correct answer is $91 : 21$
$91 : 21 = 13 : 3$
$13 \ × \ 7=91$ And $3 \ × \ 7=21$

The correct answer is $- \ 15, \ 0$
Opposite number of any number $x$ is a number that if added to $x$, the result is $0$. Then:
$15 \ + \ (- \ 15)=0$ and $0 \ + \ 0=0$

The correct answer is $175$
$- \ 60=115 \ - \ x$
First, subtract $115$ from both sides of the equation. Then:
$- \ 60 \ - \ 115=115 \ - \ 115 \ - \ x→- \ 175=- \ x$
Multiply both sides by $(- \ 1)$:
$→x=175$

$- \ 8 \ ≤ \ 5 \ x \ - \ 8 \ < \ 2 →$
(add $8$ all sides)$- \ 8 \ + \ 8 \ ≤ \ 5 \ x \ - \ 8 \ + \ 8 \ < \ 2 \ + \ 8 →$
$0 \ ≤ \ 5 \ x \ < \ 10→$
(divide all sides by $5$) $0 \ ≤ \ x \ < \ 2$

The correct answer is $340$
The ratio of boy to girls is $4:5$.
Therefore, there are $4$ boys out of $9$ students.
To find the answer, first divide the total number of students by $9$, then multiply the result by $4$.
$765 \ ÷ \ 9 = 85 ⇒$
$85 \ × \ 4 = 340$

The correct answer is $20 \ t \ ≥ \ 100$
For one hour he earns $$20$, then for t hours he earns $$20 \ t$.
If he wants to earn at least $$100$, therefor, the number of working hours multiplied by $20$ must be equal to $100$ or more than $100$.
$20 \ t \ ≥ \ 100$

The correct answer is $(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ (3 \ × \ 4)$
$(55 \ + \ 5) \ ÷ \ (12)=(60) \ ÷ \ (12)$
The prime factorization of $60$ is: $2 \ × \ 2 \ × \ 3 \ × \ 5$
The prime factorization of $12$ is: $3 \ × \ 4$
Therefore:
$(60) \ ÷ \ (12)=(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ (3 \ × \ 4)$

The correct answer is $43$
Plug in the value of $x$ and $y$ and use order of operations rule.
$x=2$ and $y=- \ 1$
$6 \ (2 \ x \ - \ 3 \ y) \ + \ (3 \ - \ 2 \ x)^2=$
$6 \ (2 \ (2) \ - \ 3 \ (- \ 1)) \ + \ (3 \ - \ 2 \ (2))^2=$
$6 \ (4 \ + \ 3) \ + \ (- \ 1)^2 =$
$42 \ + \ 1=43$

The correct answer is $30.7$
$\frac{215}{7} \cong 30.71 \cong 30.7$

The correct answer is $750$ ml
$6\%$ of the volume of the solution is alcohol.
Let $x$ be the volume of the solution.
Then:
$6\%$ of $x = 45$ ml $⇒ 0.06 \ x = 45 ⇒ x = 45 \ ÷ \ 0.06 = 750$

The correct answer is $y=2 \ x \ + \ 4$
The slope of the line is:
$\frac{y_{2} \ - \ y_{1}}{x_{2} \ - \ x_{1}}=\frac{8 \ - \ 4}{2 \ - \ 0}=\frac{4}{2}=2$
The equation of a line can be written as:
$y \ - \ y_{0}=m \ (x \ - \ x_{0} )→$
$y \ - \ 4=2 \ (x \ - \ 0)→$
$y \ - \ 4=2 \ x→$
$y=2 \ x \ + \ 4$

The correct answer is $378$ cm$^3$
Volume of a box $=$ length $×$ width $×$ height $= 6 \ × \ 7 \ × \ 9 = 378$

The correct answer is $\frac{3}{13}$
Probability $= \frac{number \ of \ desired \ outcomes}{number \ of \ total \ outcomes}= \frac{15}{14 \ + \ 15 \ + \ 16 \ + \ 20}= \frac{15}{65} = \frac{3}{13}$

The correct answer is AB is perpendicular to AC.
In any rectangle, sides are not perpendicular to diagonals.

The correct answer is $6$ meters
Let y be the width of the rectangle. Then:
$15 \ × \ y=90→$
$y=\frac{90}{15}=6$

The correct answer is The product is between $2$ and $2.5$
$4 \ × \ \frac{3}{5}=\frac{12}{5}=2.4$
A. $2.4 \ > \ 2$
B. $2.4 \ < \ 3$
C. $\frac{75}{31}=2.419 \neq 2.4$
D. $2 \ < \ 2.4 \ < \ 2.5$ This is the answer!

The correct answer is $\frac{2}{7}, \ \frac{3}{8}, \ \frac{5}{11}, \ \frac{3}{4}$
Let’s compare each fraction:
$\frac{2}{7} \ < \ \frac{3}{8} \ < \ \frac{5}{11} \ < \ \frac{3}{4}$
Only choice C provides the right order.

The correct answer is $300 \ − \ (300 \ × \ 0.1)$
To find the discount, multiply the number ($100\% \ -$ rate of discount)

The correct answer is $7$
$420=2^2 \ × \ 3^1 \ × \ 5^1 \ × \ 7^1$

The correct answer is $\frac{A}{13}$
The area of the trapezoid is:
area $=\frac{base \ 1 \ + \ base \ 2}{2} \ ×$ height $=(\frac{10 \ + \ 16}{2}) \ x=A→$
$13 \ x=A→$
$x=\frac{A}{13}$

The correct answer is $13$
$\frac{104}{8}=13, \ \frac{1352}{104}=13, \ \frac{17576}{1352}=13$

The correct answer is $((\frac{30}{4} \ + \ \frac{15}{2}) \times 8) \ - \frac{11}{2} \ + \ \frac{222}{4}$
Simplify each option provided.
A. $- \ 20 \ - \ (3 \ × \ 10) \ + \ (6 \ × \ 40)=- \ 20 \ - \ 30 \ + \ 240=190$
B. $(\frac{15}{8} \ × \ 72) \ + \ (\frac{125}{5})=135 \ + \ 25=160$
C. $((\frac{30}{4} \ + \ \frac{15}{2}) \times 8) \ - \frac{11}{2} \ + \ \frac{222}{4}=((\frac{30 \ + \ 30}{4}) \ × \ 8) \ - \ \frac{11}{2} \ + \ \frac{111}{2}=((\frac{30}{4}) \ × \ 8) \ + \ \frac{111 \ - \ 11}{2}=$
$(15 \ × \ 8) \ + \ \frac{100}{2}=120 \ + \ 50=170$ (this is the answer)
D. $\frac{481}{6} \ + \ \frac{121}{3} \ + \ 50=\frac{481 \ + \ 242}{6} \ + \ 50=120.5 \ + \ 50=170.5$

The correct answer is $1,256$ yd
$1$ yard $= 3$ feet
Therefore, $3,768$ ft. $× \ \frac{1 \ yd}{3 \ ft}=1,256$ yd

The correct answer is $\frac{1}{22}$
$3,400$ out of $74,800$ equals to $\frac{3,400}{74,800} = \frac{17}{374} = \frac{1}{22}$

The correct answer is $60$
Prime factorizing of $20=2 \ × \ 2 \ × \ 5$
Prime factorizing of $12=2 \ × \ 2 \ × \ 3$
LCM $=2 \ × \ 2 \ × \ 3 \ × \ 5=60$

The correct answer is $f= 2 \ x \ + \ 2 \ \frac{2}{5}$
Plug in the value of $x$ into the function $f$.
First, plug in $3.1$ for $x$.
A. $f=2 \ x \ - \ \frac{3}{10}=2\ (3.1) \ - \ \frac{3}{10}=5.9\neq8.6$
B. $f=x \ + \ \frac{3}{10}=3.1 \ + \ \frac{3}{10} =3.4 \neq10.8$
C. $f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (3.1) \ + \ 2 \ \frac{2}{5}=6.2 \ + \ 2.4=8.6$ This is correct!
Plug in other values of $x$. $x=4.2$
$f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (4.2) \ + \ 2.4=10.8$ This one is also correct.
$x=5.9$
$f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (5.9) \ + \ 2.4=14.2$ This one works too!
D. $2 \ x \ + \ \frac{3}{10}=2 \ (3.1) \ + \ \frac{3}{10}=6.5 \neq 8.6$

The correct answer is $96,000,000$ mg
$1$ kg $= 1000$ g and $1$ g $= 1000$ mg
$96$ kg $= 96 \ × \ 1000$ g $= 96 \ × \ 1000 \ × \ 1000=96,000,000$ mg

The correct answer is $491$
The diameter of a circle is twice the radius.
Radius of the circle is $\frac{25}{2}$.
Area of a circle $= π \ r^2=π \ (\frac{25}{2})^2=156.25 \ π=156.25 \ × \ 3.14=490.625 \cong 491$

The correct answer is $13.5$
Average (mean) $=\frac{sum \ of \ terms}{number \ of \ terms}=\frac{10 \ + \ 11 \ + \ 15 \ + \ 14 \ + \ 15 \ + \ 17 \ + \ 12.5}{7}=13.5$

The correct answer is The number of books sold in the June was more than half the number of books sold in the April.
A. Number of books sold in April is: $490$
Number of books sold in July is: $780→ \frac{490}{780}=\frac{49}{78} \neq2$
B. Number of books sold in July is: $780$
Half the number of books sold in May is: $\frac{1250}{2}=625→7800 \ > \ 625$
C. Number of books sold in June is: $300$
Half the number of books sold in April is: $\frac{490}{2}=245→300 \ > \ 245$ (it’s correct)
D. $490 \ + \ 300=790 \ > \ 780$

The correct answer is $\frac{5}{13}$
$α$ and $β$ are complementary angles.
The sum of complementary angles is $180$ degrees.
$α \ + \ β=180^°→$
$β=180^° \ - \ α=180^° \ - \ 50^°=130^°$
Then, $\frac{α}{β}=\frac{50}{130}=\frac{5}{13}$

The correct answer is $(5, \ 4)$
When points are reflected over $y-$axis, the value of $y$ in the coordinates doesn’t change and the sign of $x$ changes.
Therefore, the coordinates of point B is $(5, \ 4)$.

The correct answer is $\frac{1}{8}$
Number of biology book: $25$
Total number of books; $25 \ + \ 110 \ + \ 65=200$
The ratio of the number of biology books to the total number of books is: $\frac{25}{200}=\frac{1}{8}$

The correct answer is $\frac{4}{5} \ > \ 0.7$
A. $\frac{3}{4} \ < \ 0.7, \ \frac{3}{4}=0.75$. Therefore, this inequality is not correct.
B. $25\%=\frac{1}{2} , \ 25\% = \frac{1}{4}$, not $\frac{1}{2}$.
C. $6 \ < \ \frac{11}{2}, \ \frac{11}{2}=5.5$. Therefore, this inequality is not correct.
D. $\frac{4}{5} \ > \ 0.7, \ \frac{4}{5}=0.8→0.8 \ > \ 0.7$, this inequality is correct.

The correct answer is $33$
Henry is $x$ years old, then $2 \ x=66→x=\frac{66}{2}=33$

The correct answer is $\frac{11}{30}$
There are $30$ integers from $1$ to $30$.
Set of numbers that are not composite between $1$ and $30$ is:
A $= \left\{1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29\right\}$
$10$ integers are not composite. Probability of not selecting a composite number is:
Probability $= \frac{number \ of \ desired \ outcomes}{number \ of \ total \ outcomes}= \frac{11}{30}$

The correct answer is Sara placed $x$ pens among $8$ friends and each friend received at most $16$ pens.
Let’s write the inequality for each statement.
A. $\frac{x}{16} \ < \ 8$
B. $\frac{8}{x} \ ≤ \ 16$
C. $\frac{x}{8} \ < \ 16$
D. $\frac{x}{8} \ ≤ \ 16$ This is the inequality provided in the question.

The correct answer is $70$
Since, E is the midpoint of AB, then the area of all triangles DAE, DEF, CFE and CBE are equal.
Let $x$ be the area of one of the triangle, then: $4 \ x=140→x=35$
The area of DEC $=2 \ x=2 \ (35)=70$