Free Full Length STAAR Grade 6 Practice Test

The correct answer is $1.082$
$4 \ (1.052) \ - \ 3.126=4.208 \ - \ 3.126=1.082$

The correct answer is $− \ 12,− \ 4,− \ 2,− \ 1,1,3,7$
$- \ 12 \ < \ - \ 4 \ < \ - \ 2 \ < \ - \ 1 \ < \ 1 \ < \ 3 \ < \ 7$

The correct answer is $11$
First, we need to find the GCF (Greatest Common Factor) of $143$ and $55$.
$143=11 \ × \ 13$
$55=5 \ × \ 11→$ GFC $= 11$
Therefore, we need $11$ boxes.

The correct answer is $7$
$2205 \ ÷ \ 315=\frac{2205}{315}=\frac{441}{63}=\frac{147}{21}=7$

The correct answer is $x=90$
$112=22 \ + \ x$
Subtract $22$ from both sides of the equation. Then:
$x=112 \ - \ 22=90$

The correct answer is $265.8$ Km
Distance that car B travels $=1.2 \ ×$ distance that car A travels
$=1.2 \ × \ 221.5=265.8$ Km

The correct answer is $81$
The perimeter of the trapezoid is $38$.
Therefore, the missing side (height) is $= 38 \ – \ 8 \ – \ 10 \ – \ 11 = 9$
Area of the trapezoid: A $= \frac{1}{2\ } h \ (b1 \ + \ b2) = \frac{1}{2} \ (9) \ (8 \ + \ 10) = 81$

The correct answer is $3^5 \ - \ 218$
A. $3^1 \ + \ 12=3 \ + \ 12=15$
B. $3^3 \ - \ 3^2=27 \ - \ 9=18$
C. $3^4\ - \ 60=81 \ - \ 60=21$
D. $3^5 \ - \ 218=243 \ - \ 218=25$

The correct answer is $\frac{\pi^3}{4}$
The radius of the circle is: $\frac{π}{2}$
The area of circle: $π \ r^2=π \ (\frac{π}{2})^2=π \ × \ \frac{ π^2}{4}=\frac{π^3}{4}$

The correct answer is $11$
Alfred has $x$ apple which is $15$ apples more than number of apples Alvin owns.
Therefore:$x \ - \ 15=40→$
$x=40 \ + \ 15=55$
Alfred has 55 apples.
Let $y$ be the number of apples that Baron has.
Then: $y=\frac{1}{5} \ × \ 55=11$

The correct answer is $100^°$
Complementary angles add up to $180$ degrees.
$β \ + \ 150^°=180^°→$
$β=180^° \ - \ 150^°=30^°$
The sum of all angles in a triangle is $180$ degrees. Then:
$α \ + \ β \ + \ 50^°=180^°→α \ + \ 30^° \ + \ 50^°=180^°$
$→α \ +\ 80^°=180^°→α=180^° \ - \ 80^°=100^°$

The correct answer is $$500$
Let $x$ be the original price.
If the price of a laptop is decreased by $15\%$ to $$425$, then: $85\ %$ of $x=425⇒$
$0.85 \ x=425 ⇒$
$x=425 \ ÷ \ 0.85=500$

The correct answer is $24$
Let $x$ and $y$ be two sides of the shape. Then:
$x \ + \ 1=1\ + \ 1 \ + \ 1→x=2$
$y \ + \ 6 \ + \ 2=5 \ + \ 4→y \ + \ 8=9→=1$
Then, the perimeter is:
$1 \ + \ 5 \ + \ 1 \ + \ 4 \ + \ 1 \ + \ 2 \ + \ 1 \ + \ 6 \ + \ 2 \ + \ 1=24$

The correct answer is $\frac{1}{6}$
Two months, April and August, in $12$ months start with A, then:
Probability $=\frac{number \ of \ desired \ oucomes}{number \ of \ total \ outcomes}=\frac{2}{12}=\frac{1}{6}$

The correct answer is Mode: $1, \ 3,$ Median: $3$
First, put the numbers in order from least to greatest:
$1, 1, 1, 2, 3, 3, 3, 4, 5, 6, 6$
The Mode of the set of numbers is: $1$ and $3$ (the most frequent numbers)
Median is: $3$ (the number in the middle)

The correct answer is $(x \ × \ 90) \ + \ (x \ × \ 2)$
$x \ × \ 92= x \ × \ (90 \ + \ 2)=(x \ × \ 90) \ + \ (x \ × \ 2)$

The correct answer is $24$
The ratio of pens to pencils is $3 : 5$.
Therefore there are 3 pens out of all $8$ pens and pencils.
To find the answer, first dived $96$ by $8$ then multiply the result by $3$.
$96 \ ÷ \ 8=12→12 \ × \ 3=36$
There are $36$ pens and $60$ pencils $(96 \ - \ 36)$.
Therefore, $24$ more pens should be put in the box to make the ratio $1 : 1$

The correct answer is A and B
If the value of point A is greater than the value of point B, then the distance of two points on the number line is: value of A- value of B
A. $- \ \frac{24}{3} \ - \ (- \ 13)=- \ 8 \ + \ 13=5=5$
B. $- \ 3 \ - \ (- \ \frac{24}{3})=- \ 3 \ + \ 8=5=5$
C. $- \ 2 \ - \ (- \ \frac{24}{3})=- \ 2 \ + \ 8=6 \neq 5$

The correct answer is $\frac{3}{13}, \ \frac{5}{14}, \ \frac{4}{11}, \ \frac{2}{5}$
$\frac{3}{13} \cong 0.23$
$\frac{5}{14} \cong 0.357$
$\frac{4}{11} \cong 0.36$
$\frac{2}{5}=0.4$
Then:
$\frac{3}{13} \ < \ \frac{5}{14} \ < \ \frac{4}{11} \ < \ \frac{2}{5}$

The correct answer is $5 \ (11 \ - \ x^2) \ - \ 25$
Plugin the value of $x$ in the equations. $x = -\ 4$, then:
A. $x \ (3 \ x \ - \ 1)=50→- \ 4 \ (3 \ (- \ 4) \ - \ 1)=- \ 4(- \ 12 \ - \ 1)=- \ 4 \ (- \ 13)=52≠50$
B. $5 \ (11 \ - \ x^2 )=- \ 25→5 \ (11 \ - \ (- \ 4)^2 )= 5 \ (11 \ - \ 16)=5 \ (- \ 5)=- \ 25$
C. $3 \ (- \ 2 \ x \ + \ 5)=49→3 \ (- \ 2 \ (- \ 4) \ + \ 5)=3 \ (8 \ + \ 5)=39≠49$
D. $x \ (- \ 5 \ x \ - \ 19)=- \ 3→- \ 4 \ (- \ 5 \ (- \ 4) \ - \ 19=- \ 4 \ (20 \ - \ 19)=- \ 4≠- \ 3$
$5 \ (11 \ - \ (- \ 4)^2 )= 5 \ (11 \ - \ 16)=5 \ (- \ 5)=- \ 25$

The correct answer is $5$
Let $x$ be the missing prime factor of $450$.
$450= 2 \ × \ 3 \ × \ 3 \ × \ x ⇒$
$x =\frac{450}{18} ⇒$
$x = 25=5 \ × \ 5$
The missing prime factor of $450$ is $5$.

The correct answer is $24$
Use Pythagorean theorem to find the hypotenuse of the triangle.
$a^2 \ + \ b^2=c^2→$
$6^2 \ + \ 8^2=c^2→$
$36 \ + \ 64=c^2→$
$100=c^2→c=10$
The perimeter of the triangle is: $6 \ + \ 8 \ + \ 10=24$

The correct answer is $130\%$
Use percent formula:
Part $= \frac{percent}{100} \ ×$ whole
$65 = \frac{percent}{100} \ × 50 ⇒$
$65 = \frac{percent \ × \ 50}{100} ⇒$
$65 =\frac{percent \ × \ 5}{10}$, multiply both sides by $10$.
$650 =$ percent $× \ 5$, divide both sides by $5$.
$130 =$ percent

The correct answer is $- \ 10 \ + \ (- \ 8) \ + \ \frac{- \ 5}{2} \ × \ 2$
Let’s check the options provided.
A. $- \ 10 \ + \ (- \ 8) \ + \ \frac{- \ 5}{2} \ × \ 2→$
$- \ 10 \ + \ (- \ 8) \ + \ \frac{- \ 5}{2} \ × \ 2=- \ 10 \ + \ (- \ 8) \ + \ (- \ 5)=- \ 10 \ - \ 13=- \ 23$
B. $5 \ × \ 3 \ + \ (- \ 2) \ ×\ 18=15 \ + \ (- \ 38)=- \ 21$
C. $- \ 10 \ + \ 6 \ × \ 8 \ ÷ \ (- \ 4)=- \ 10 \ + \ 48 \ ÷ \ (- \ 4)=- \ 10 \ - \ 12=- \ 22$
D. $(- \ 3)\ × \ (- \ 7) \ + \ 2=21 \ + \ 2=23$

The correct answer is $25$ ft.
$1$ feet= $12$ inches.
Then: $300$ in $× \ \frac{1 \ ft}{12 \ in}=\frac{300}{12}$ ft $= 25$ ft

The correct answer is $2.4=2 \ \frac{4}{10}=\frac{24}{10}$.
A. $0.09=\frac{9}{100}$
B. $\frac{20}{100}=\frac{2}{10}=0.2$
C. $2.4=2 \ \frac{4}{10}=\frac{24}{10}$
D. $\frac{35}{7}=5$

The correct answer is $18$.
Prime factorizing of $36=2 \ × \ 2 \ × \ 3 \ × \ 3$
Prime factorizing of $54=2 \ × \ 3 \ × \ 3 \ × \ 3$
To find Greatest Common Factor, multiply the common factors of both numbers.
GCF $=2 \ × \ 3 \ × \ 3=18$

The correct answer is $f=x \ - \ 1 \ \frac{7}{8}$
Plug in the values of $x$ in the equations provided.
A. $f=x \ + \ 1 \ \frac{7}{8}=1.1 \ + \ 1 \frac{7}{8}=1.1 \ + \ \frac{15}{8}=2.975\neq- \ 0.775$
B. $f=x \ - \ 1 \ \frac{7}{8}=1.1 \ - \ 1 \ \frac{7}{8}=- \ 0.775$
C. $f=2 \ x \ + \ 1 \ \frac{7}{8}=2\ (1.1) \ + \ \frac{15}{8}=4.075\neq- \ 0.775$
D. $f=2 \ x \ - \ 1 \ \frac{7}{8}=2 \ (1.1) \ - \ \frac{15}{8}=0.325\neq- \ 0.775$

The correct answer is $0.01$ m
$1$ m $= 1000$ mm
$1$ mm $= 0.001$ m
Then, $10$ mm $=10 \ × \ 0.001 m = 0.01$ m

The correct answer is $55$
Choices A, C and D are incorrect because $60\%$ of each of the numbers is a non-whole number.
A. $63$, $60\%$ of $63 = 0.60 \ × \ 63=37.8$
B. $55$, $60\%$ of $55=0.60 \ × \ 55=33$
C. $48$, $60\%$ of $48=0.60 \ × \ 48=28.8$
D. $37$, $60\%$ of $37=0.60 \ × \ 37=22.2$

The correct answer is $39$
Let $x$ be the integer. Then:
$2\ x \ – \ 8 = 70$
Add 8 both sides: $2 \ x = 78$
Divide both sides by $2: \ x = 39$

The correct answer is $60\%, \ 40\%, \ 90\%$
Percent of cities in the type of pollution A: $\frac{6}{10} \ × \ 100=60\%$
Percent of cities in the type of pollution C: $\frac{4}{10} \ × \ 100=40\%$
Percent of cities in the type of pollution E: $\frac{9}{10} \ × \ 100=90\%$

The correct answer is $157$
Find the difference of each pairs of numbers:
$2, \ 7, \ 17, \ 37, \ 77,$ ___, $317$
The difference of $2$ and $7$ is $5, \ 7$ and $17$ is $10, \ 17$ and $37$ is $20, \ 37$ and $77$ is $40, \ 77$ and next number should be $80$.
The number is $77 \ + \ 80 = 157$

The correct answer is $15$
$4 \ x \ - \ 1=9→$
$4 \ x=9 \ + \ 1=10→$
$x=\frac{10}{4}=2.5$
Then, $2 \ x \ + \ 10=2 \ (2.5) \ + \ 10=5 \ + \ 10=15$

The correct answer is $28$
The area of the floor is: $7$ cm $× \ 36$ cm $= 252$ cm
The number of tiles needed $= 252 \ ÷ \ 9 = 28$

The correct answer is $148$
Number of students prefer to learn Germany
$= 37\%$ of $400=\frac{37}{100} \ × \ 400=148$

The correct answer is $540$
The shaft rotates $360$ times in $12$ seconds.
Then, the number of rotates in $18$ second equals to:
$\frac{360 \ × \ 18}{12}=540$

The correct answer is $\frac{1}{13}$
The probability of choosing a soldier is $\frac{4}{52}=\frac{1}{13}$

The correct answer is David put $x$ books in $5$ shelves, and each shelf had at least $9$ books.
Let’s write an inequality for each statement.
A. $\frac{x}{5} \ ≥ \ 9$ (this is the same as the inequality provided)
B. $\frac{5}{x} \ < \ 9$
C. $\frac{9}{x}=5$
D. $\frac{x}{5} \ > \ 9$

The correct answer is $4$
Check each option provided:
A. $4$     $\frac{1 \ + \ 5 \ + \ 8 \ + \ 11 \ + \ 12}{5}=\frac{37}{5}=7.4$
B. $5$     $\frac{1 \ + \ 4 \ + \ 8 \ + \ 11 \ + \ 12}{5}=\frac{36}{5}=7.2$
C. $8$     $\frac{1 \ + \ 4 \ + \ 5 \ + \ 11+12}{5}=\frac{36}{5}=6.6$
D. $11$   $\frac{1 \ + \ 4 \ + \ 5 \ + \ 8 \ + \ 12}{5}=\frac{30}{5}=6$