Free Full Length STAAR Grade 6 Practice Test

Full Length STAAR Grade 6 Practice Test

If you want to prepare for the STAAR Grade 6 Practice Test? It’s time to taking a Full-length STAAR Grade 6 Practice Test. It is the best way to simulate test day. To challenge your skills and simulate the full length STAAR Grade 6 Practice Test day experience, score your tests using the answer keys.

 

STAAR Math
Practice Test 2

  State of Texas Assessments of Academic Readiness     Grade 6 Mathematics
1- \(4 \ (1.052) \ - \ 3.126=\)⋯?
(A) \(0.926\)  
(B) \(1.082\)  
(C) \(1.122\)  
(D) \(1.134\)  
2- Which list shows the integer numbers listed in order from least to greatest? 
(A) \(− \ 12,− \ 4,− \ 1,− \ 2,1,3,7\)  
(B) \(− \ 12,− \ 1,− \ 2,− \ 4,1,3,7\)  
(C) \(− \ 12,− \ 4,− \ 2,− \ 1,1,3,7\)  
(D) \(− \ 1,− \ 2,− \ 4,− \ 12,1,3,7\)  
3- There are \(55\) blue marbles and \(143\) red marbles. We want to place these marbles in some boxes so that there is the same number of red marbles in each box and the same number of blue marbles in each of the boxes. How many boxes do we need?
(A) \(8\)
(B) \(9\)
(C) \(10\)
(D) \(11\)
4- What is the value of the following expression?
\(2,205 \ ÷ \ 315\)
(A) \(5\)
(B) \(6\)
(C) \(7\)
(D) \(8\)
5- Solve the following equation.
\(112=22 \ + \ x\)
(A) \(x=− \ 90\)
(B) \(x=90\)
(C) \(x=- \ 134\)
(D) \(x=134\)
6- Car A travels \(221.5\) km at a given time, while car B travels \(1.2\) times the distance car A travels at the same time. What is the distance car B travels during that time?
(A) \(222.7\) km
(B) \(233.5\) km
(C) \(241.5\) km
(D) \(265.8\) km
7- The perimeter of the trapezoid below is \(38\). What is its area?
STAAR Grade
(A) \(198\) cm\(^2\)
(B) \(162\) cm\(^2\)
(C) \(99\) cm\(^2\)
(D) \(81\) cm\(^2\)
8- Which of the following expressions has the greatest value?
(A) \(3^1 \ + \ 12\)
(B) \(3^3 \ − \ 3^2\)
(C) \(3^4 \ − \ 60\)
(D) \(3^5 \ − \ 218\)
9- The diameter of a circle is \(π\). What is the area of the circle?
(A) \(2 \ \pi^2\)
(B) \(\pi^2\)
(C) \(\frac{\pi^3}{3}\)
(D) \(\frac{\pi^3}{4}\)
10- Alfred has \(x\) apples. Alvin has \(40\) apples, which is \(15\) apples less than number of apples Alfred owns. If Baron has \(\frac{1}{5}\) times as many apples as Alfred has. How many apples does Baron have?
(A) \(5\)
(B) \(11\)
(C) \(55\)
(D) \(275\)
11- In the following triangle find \(α\).
STAAR Grade1
(A) \(100^°\)
(B) \(90^°\)
(C) \(60^°\)
(D) \(30^°\)
12- The price of a laptop is decreased by \(15\%\) to \($425\). What is its original price?
(A) \($283\)
(B) \($430\)
(C) \($500\)
(D) \($550\)
13- Find the perimeter of shape in the following figure? (all angles are right angles)
STAAR Grade2
(A) \(21\)
(B) \(22\)
(C) \(24\)
(D) \(20\)
14- What is the probability of choosing a month starts with A in a year?
(A) \(1\)
(B) \(\frac{2}{3}\)
(C) \(\frac{1}{2}\)
(D) \(\frac{1}{6}\)
15- What are the values of mode and median in the following set of numbers?
\(1,3,3,6,6,5,4,3,1,1,2\)
(A) Mode: \(1, \ 2,\) Median: \(2\)
(B) Mode: \(1, \ 3,\) Median: \(3\)
(C) Mode: \(2, \ 3,\) Median: \(2\)
(D) Mode: \(1, \ 3,\) Median: \(2.5\)
16- Which expression equivalent to \(x \ × \ 92\)?
(A) \((x \ × \ 90) \ + \ 2\)
(B) \(x \ × \ 9 \ × \ 2\)
(C) \((x \ × \ 90) \ + \ (x \ ×  \ 2)\)
(D) \((x \ × \ 90) \ + \ 2\)
17- The ratio of pens to pencils in a box is \(3\) to \(5\). If there are \(96\) pens and pencils in the box altogether, how many more pens should be put in the box to make the ratio of pens to pencils \(1 : 1\)? 
(A) \(22\)
(B) \(23\)
(C) \(24\)
(D) \(25\)
18- If point A placed at \(- \ \frac{24}{3}\) on a number line, which of the following points has a distance equal to \(5\) from point A?
(A) \(− \ 13\)
(B) \(− \ 3\)
(C) \(− \ 2\)
(D) A and B
19- Which of the following shows the numbers in increasing order? 
(A) \(\frac{3}{13}, \ \frac{4}{11}, \ \frac{5}{14}, \ \frac{2}{5}\)
(B) \(\frac{3}{13}, \ \frac{5}{14}, \ \frac{4}{11}, \ \frac{2}{5}\)
(C) \(\frac{3}{13}, \ \frac{5}{14}, \ \frac{2}{5}, \ \frac{4}{11}\)
(D) \(\frac{5}{14}, \ \frac{3}{13}, \ \frac{2}{5}, \ \frac{4}{11}\)
20- If \(x= - \ 4\), which of the following equations is true? 
(A) \(x \ (3 \ x \ − \ 1)=50\)
(B) \(5 \ (11 \ − \ x^2)=− \ 25\)
(C) \(3 \ (− \ 2 \ x \ + \ 5)=49\)
(D) \(x \ (− \ 5 \ x \ − \ 19)=− \ 3\)
21- What is the missing prime factor of number \(450\)?
\(450=2^1 \ × \ 3^2 \ ×\)…
Write your answer in the box below?
(A) 5
(B) 5
(C) 5.0
22- What is the perimeter of the following shape? (it’s a right triangle)
STAAR Grade3
(A) \(14\) cm
(B) \(18\) cm
(C) \(24\) cm
(D) \(32\) cm
23- \(65\) is what percent of \(50\)?
(A) \(50\%\)
(B) \(77\%\)
(C) \(130\%\)
(D) \(140\%\)
24- Which of the following expressions has a value of \(- \ 23\)?
(A) \(- \ 10 \ + \ ( - \ 8 ) \ + \ \frac{- \ 5}{2} \times 2\)
(B) \(5 \times 3 \ + \ ( - \ 2) \times 18\)
(C) \(− \ 10 \ + \ 6 \ × \ 8 \ ÷ \ (− \ 4)\)
(D) \((− \ 3)  \ × \  (− \ 7)  \ +  \ 2\)
25- \(300\) inches equal to …? 
(A) \(3600\) ft.
(B) \(900\) ft.
(C) \(100\) ft.
(D) \(25\) ft.
26- Which of the following equations is true?
(A) \(0.09= \frac{9}{100}\).
(B) \(\frac{20}{100} = 0.02\).
(C) \(2.4=\frac{24}{10}\)
(D) \(\frac{35}{7} = 0.5\)
27- What is the greatest common factor of \(36\) and \(54\)?
(A) \(20\)
(B) \(19\)
(C) \(18\)
(D) \(17\)
28- Based on the table below, which of the following expressions represents any value of f in term of its corresponding value of \(x\)?
\(x \ \  \ \ \  1.1 \  \ \ \  \ 1.4 \  \  \ \ \ 2.1\)
\(f \ \ - \ 0.775 \ \ - \ 0.475 \ \ 0.225\)
(A) \(f=x \ + \ 1 \ \frac{7}{8}\)
(B) \(f=x \ - \ 1 \ \frac{7}{8}\)
(C) \(f=2 \ x \ + \ 1 \ \frac{7}{8}\)
(D) \(f=2 \ x \ - \ 1 \ \frac{7}{8}\)
29- \(10\) mm \(=\) …?
(A) \(0.001\) m
(B) \(0.01\) m
(C) \(100\) m
(D) \(1000\) m
30- A football team won exactly \(60\%\) of the games it played during last session. Which of the following could be the total number of games the team played last season?
(A) \(63\)
(B) \(55\)
(C) \(48\)
(D) \(37\)
31- \(8\) less than twice a positive integer is \(70\). What is the integer?
(A) \(80\)
(B) \(78\)
(C) \(40\)
(D) \(39\)
32- Based on the below data, what percent of cities are in the type of pollution A, C, and E respectively?
STAAR Grade4
(A) \(60\%, \ 40\%, \ 90\%\)
(B) \(30\%, \ 40\%, \ 90\%\)
(C) \(30\%, \ 40\%, \ 60\%\)
(D) \(40\%, \ 40\%, \ 90\%\)
33- What is the missing term in the given sequence?
\(2, \ 7, \ 17, \ 37, \ 77,\) ___, \(317\)
Write your answer in the box below.
(A) 157
(B) 157
(C) 157.0
34-  If \(4 \ x \ - \ 1=9\), what is the value of \(2 \ x \ + \ 10\)?
(A) \(30.5\)
(B) \(25\)
(C) \(20.5\)
(D) \(15\)
35- How many tiles of \(9\) cm\(^2\) is needed to cover a floor of dimension \(7\) cm by \(36\) cm?
(A) \(26\)
(B) \(27\)
(C) \(28\)
(D) \(29\)
36- If there are \(400\) students at a school and nearly \(37\%\) of them prefer to learn Germany, approximately how many students want to learn Germany?
(A) \(400\)
(B) \(252\)
(C) \(148\)
(D) \(130\)
37- A shaft rotates \(360\) times in \(12\) seconds. How many times does it rotate in \(18\) seconds?
(A) \(540\)
(B) \(450\)
(C) \(360\)
(D) \(100\)
38- A card is drawn at random from a standard \(52–\)card deck, what is the probability that the card is of the soldier? 
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{13}\)
(C) \(\frac{1}{6}\)
(D) \(\frac{1}{52}\)
39- Which of the following statement can describe the following inequality correctly?
\(\frac{x}{5} \ ≥ \ 9\)
(A) David put \(x\) books in \(5\) shelves, and each shelf had at least \(9\) books.
(B) David placed \(5\) books in \(x\) shelves so that each shelf had less than \(9\) books.
(C) David put \(9\) books in \(x\) shelves and each shelf had exactly \(5\) books.
(D) David put \(x\) books in \(5\) shelves, and each shelf had more than \(9\) books.
40- Removing which of the following numbers will change the average of the numbers to \(7.4\)?
\(1, \ 4, \ 5, \ 8, \ 11, \ 12\)
(A) \(4\)
(B) \(5\)
(C) \(8\)
(D) \(11\)
1- Choice B is correct

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

2- Choice C is correct

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

3- Choice D is correct

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.

 

4- Choice C is correct

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

 

5- Choice B is correct

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

6- Choice D is correct

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

7- Choice D is correct

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 \(= \frac{1}{2\ } h \ (b1 \ + \ b2) = \frac{1}{2} \ (9) \ (8 \ + \ 10) = 81\)

8- Choice D is correct

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. \(3^5 \ - \ 218=243 \ - \ 218=25\)

 

9- Choice D is correct

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

10- Choice B is correct

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: \(y=\frac{1}{5} \ × \ 55=11\)

11- Choice A is correct

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:
\(α \ + \ β \ + \ 50^°=180^°→α \ + \ 30^° \ + \ 50^°=180^°\)
\(→α \ +\ 80^°=180^°→α=180^° \ - \ 80^°=100^°\)

 

12- Choice C is correct

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 \(x=425⇒\)
\(0.85 \ x=425 ⇒\)
\(x=425 \ ÷ \ 0.85=500\)

13- Choice C is correct

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:
\(1 \ + \ 5 \ + \ 1 \ + \ 4 \ + \ 1 \ + \ 2 \ + \ 1 \ + \ 6 \ + \ 2 \ + \ 1=24\)

14- Choice D is correct

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

 

15- Choice B is correct

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)

16- Choice C is correct

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

17- Choice C is correct

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 \(1 : 1\)

 

18- Choice D is correct

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. \(- \ 2 \ - \ (- \ \frac{24}{3})=- \ 2 \ + \ 8=6 \neq 5\)

19- Choice B is correct

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:
\(\frac{3}{13} \ < \ \frac{5}{14} \ < \ \frac{4}{11} \ < \ \frac{2}{5}\)

20- Choice B is correct

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. \(x \ (- \ 5 \ x \ - \ 19)=- \ 3→- \ 4 \ (- \ 5 \ (- \ 4) \ - \ 19=- \ 4 \ (20 \ - \ 19)=- \ 4≠- \ 3\)
\(5 \ (11 \ - \ (- \ 4)^2 )= 5 \ (11 \ - \ 16)=5 \ (- \ 5)=- \ 25\)

21- Choice C is correct

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 \(5\).

22- Choice C is correct

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: \(6 \ + \ 8 \ + \ 10=24\)

 

23- Choice C is correct

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

24- Choice A is correct

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. \((- \ 3)\ × \ (- \ 7) \ + \ 2=21 \ + \ 2=23\)

 

25- Choice D is correct

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

26- Choice C is correct

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. \(\frac{35}{7}=5\)

 

27- Choice C is correct

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 \(=2 \ × \ 3 \ × \ 3=18\)

28- Choice B is correct

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. \(f=2 \ x \ - \ 1 \ \frac{7}{8}=2 \ (1.1) \ - \ \frac{15}{8}=0.325\neq- \ 0.775\)

29- Choice B is correct

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

30- Choice B is correct

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 \(37=0.60 \ × \ 37=22.2\)

31- Choice D is correct

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 \(2: \ x = 39\)

32- Choice A is correct

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: \(\frac{9}{10} \ × \ 100=90\%\)

 

33- Choice C is correct

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 \(77 \ + \ 80 = 157\)

34- Choice D is correct

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

35- Choice C is correct

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

36- Choice C is correct

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

37- Choice A is correct

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

 

38- Choice B is correct

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

 

39- Choice A is correct

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. \(\frac{x}{5} \ > \ 9\)

40- Choice A is correct

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. \(11\)   \(\frac{1 \ + \ 4 \ + \ 5 \ + \ 8 \ + \ 12}{5}=\frac{30}{5}=6\)

 

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