## Full Length STAAR Grade 8 Practice Test

If you want to prepare for the STAAR Grade 8 Practice Test? It’s time to taking a Full-length STAAR Grade 8 Practice Test. It is the best way to simulate test day. To challenge your skills and simulate the full length STAAR Grade 8 Practice Test day experience, score your tests using the answer keys.

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## STAAR Math Practice Test 2

Mathematics

2019

1- You can buy $$5$$ cans of green beans at a supermarket for $$3.40$$. How much does it cost to buy $$35$$ cans of green beans?
(A) $$17$$
(B) $$23.80$$
(C) $$34.00$$
(D) $$119$$
2- Which of the following is the solution of the following inequality?
$$2 \ x \ + \ 4 \ > \ 11 \ x \ - \ 12.5 \ - \ 3.5 \ x$$
(A) $$x \ < \ 3$$
(B) $$x \ > \ 3$$
(C) $$x \ ≤ \ 3$$
(D) $$x \ ≥ \ 3$$
3- What is the perimeter of a square that has an area of $$595.36$$ feet?
(A) 97.6
(B) 97.6
(C) 97.60
4- A tree $$32$$ feet tall casts a shadow $$12$$ feet long. Jack is $$6$$ feet tall. How long is Jack’s shadow?
(A) $$2.25$$ ft.
(B) $$4$$ ft.
(C) $$4.25$$ ft.
(D) $$8$$ ft.
5- The price of a laptop is decreased by $$10\%$$ to $$360$$. What is its original price?
(A) $$320$$
(B) $$380$$
(C) $$400$$
(D) $$450$$
6- The perimeter of the trapezoid below is $$54$$ cm. What is its area?
(A) 130
(B) 130
(C) 130.0
7- Which graph does not represent $$y$$ as a function of $$x$$?
(A)
(B)
(C)
(D)
8- Which of the following is equivalent to $$13 \ < \ - \ 3 \ x \ - \ 2 \ < \ 22$$ ?
(A) $$− \ 8 \ < \ x \ < \ − \ 5$$
(B) $$5 \ < \ x \ < \ 8$$
(C) $$\frac{11}{3} \ < \ x \ < \ \frac{20}{3}$$
(D) $$\frac{- \ 20}{3} \ < \ x \ < \ \frac{- \ 11}{3}$$
9- In a certain bookshelf of a library, there are $$35$$ biology books, $$95$$ history books, and $$80$$ language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?
(A) $$\frac{1}{4}$$
(B) $$\frac{1}{6}$$
(C) $$\frac{2}{7}$$
(D) $$\frac{3}{8}$$
10- A bank is offering $$3.5\%$$ simple interest on a savings account. If you deposit $$12,000$$, how much interest will you earn in two years?
(A) $$420$$
(B) $$840$$
(C) $$4200$$
(D) $$8400$$
11- The area of a circle is $$64 \ π$$. What is the circumference of the circle?
(A) $$8 \ π$$
(B) $$16 \ π$$
(C) $$32 \ π$$
(D) $$64 \ π$$
12- A shirt costing $$200$$ is discounted $$15\%$$. After a month, the shirt is discounted another $$15\%$$. Which of the following expressions can be used to find the selling price of the shirt?
(A) $$(200) \ (0.70)$$
(B) $$(200) \ – \ 200 \ (0.30)$$
(C) $$(200) \ (0.15) \ – \ (200) \ (0.15)$$
(D) $$(200) \ (0.85) \ (0.85)$$
13- Joe scored $$20$$ out of $$25$$ marks in Algebra, $$30$$ out of $$40$$ marks in science and $$68$$ out of $$80$$ marks in mathematics. In which subject his percentage of marks is best?
(A) Algebra
(B) Science
(C) Mathematics
(D) Algebra and Science
14- What is the volume of the following triangular prism?
(A) 12
(B) 12
(C) 12.0
15- The marked price of a computer is D dollar. Its price decreased by $$20\%$$ in January and later increased by $$10\%$$ in February. What is the final price of the computer in D dollar?
(A) $$0.80$$ D
(B) $$0.88$$ D
(C) $$0.90$$ D
(D) $$1.20$$ D
16- Triangle ABC is graphed on a coordinate grid with vertices at A $$(– \ 3, \ – \ 2)$$, B $$(– \ 1, \ 4)$$ and C $$(7, \ 9)$$. Triangle ABC is reflected over x axes to create triangle A’ B’ C’.
Which order pair represents the coordinate of C’?
(A) $$(7, \ 9)$$
(B) $$(- \ 7, \ - \ 9)$$
(C) $$(- \ 7, \ 9)$$
(D) $$( 7, \ - \ 9)$$
17-  What's the maximum ratio of woman to man in the four cities?
(A) $$0.98$$
(B) $$0.97$$
(C) $$0.96$$
(D) $$0.95$$
18- What's the ratio of percentage of men in city A to percentage of women in city C?
(A) $$0.9$$
(B) $$0.95$$
(C) $$1$$
(D) $$1.05$$
19- A container holds $$3.5$$ gallons of water when it is $$\frac{7}{24}$$ full. How many gallons of water does the container hold when it’s full?
(A) $$8$$
(B) $$12$$
(C) $$16$$
(D) $$20$$
20- If $$(3^a)^b=81$$, then what is the value of $$a \ × \ b$$?
(A) $$2$$
(B) $$3$$
(C) $$4$$
(D) $$5$$
21- Which of the following is equivalent to $$13 \ < \ - \ 3 \ x \ - \ 2 \ < \ 22$$ ?
(A) $$− \ 8 \ < \ x \ < \ − \ 5$$
(B) $$5 \ < \ x \ < \ 8$$
(C) $$\frac{11}{3} \ < \ x \ < \ \frac{20}{3}$$
(D) $$\frac{- \ 20}{3} \ < \ x \ < \ \frac{- \ 11}{3}$$
22- What is the $$x-$$intercept of the line with equation $$2 \ x \ - \ 2 \ y=5$$?
(A) $$− \ 5$$
(B) $$− \ 2$$
(C) $$\frac{5}{2}$$
(D) $$\frac{5}{4}$$
23- Which of the following expressions is equivalent to $$10 \ – \ \frac{2}{3} \ x \ ≥ \ 12$$
(A) $$x \ ≥ \ – \ 3$$
(B) $$x \ ≤ \ – \ 3$$
(C) $$x \ ≥ \ 24 \ \frac{1}{3}$$
(D) $$x \ ≤ \ 24 \ \frac{1}{3}$$

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24- A soccer team played $$120$$ games and won $$70$$ percent of them. How many games did the team win?
(A) $$84$$
(B) $$94$$
(C) $$104$$
(D) $$114$$
25- Line m passes through the point $$(− \ 1, 2)$$. Which of the following CANNOT be the equation of line m?
(A) $$y = 1 \ – \ x$$
(B) $$y = x \ + \ 1$$
(C) $$x = \ – \ 1$$
(D) $$y = x \ + \ 3$$
26- The equation of a line is given as: $$y = 5 \ x \ – \ 3$$. Which of the following points does not lie on the line?
(A) $$(1, 2)$$
(B) $$(– \ 2, – \ 13)$$
(C) $$(3, 18)$$
(D) $$(2, 7)$$
27- The sum of three numbers is $$45$$. If another number is added to these three numbers, the average of the four numbers is $$20$$.
What is the fourth number?
(A) $$20$$
(B) $$35$$
(C) $$40$$
(D) $$45$$
28- David owed $$8240$$. After making $$45$$ payments of $$124$$ each, how much did he have left to pay?
(A) $$2660$$
(B) $$3660$$
(C) $$5580$$
(D) $$6800$$
29- Find the slope–intercept form of the graph $$6 \ x \ – \ 7 \ y = \ – \ 12$$
(A) $$y = \ – \ \frac{7}{6} \ x \ − \ \frac{12}{7}$$
(B) $$y = \ – \ \frac{6}{7} \ x \ + \ 12$$
(C) $$y = \frac{6}{7} \ x \ + \ \frac{12}{7}$$
(D) $$y = \frac{7}{6} \ x \ - \ 12$$
30- Which of the following point is the solution of the system of equations?
$$\begin{cases}5 \ x \ + \ y=9 \\10 \ x \ - \ 7 \ y = \ - \ 18\end{cases}$$
(A) $$(2, 4)$$
(B) $$(2, 2)$$
(C) $$(1, 4)$$
(D) $$(0, 4)$$
31- Which of the following lines is parallel to the graph of $$y = 2 \ x$$ ?
(A) $$4 \ x \ – \ y = 4$$
(B) $$2 \ x \ – \ 2 \ y = 2$$
(C) $$2 \ x \ – \ y = 4$$
(D) $$2 \ x \ + \ y = 2$$
32- Liam’s average (arithmetic mean) on two mathematics tests is $$8$$. What should Liam’s score be on the next test to have an overall of $$9$$ for all the tests?
(A) $$8$$
(B) $$9$$
(C) $$10$$
(D) $$11$$
33- Which of the following equations has a graph that is a straight line?
(A) $$y = 3 \ x^2 \ + \ 9$$
(B) $$x^2 \ + \ y^2 = 1$$
(C) $$4 \ x \ – \ 2 \ y = 2 \ x$$
(D) $$7 \ x \ + \ 2 \ x \ y = 6$$
34- What is the distance between the points $$(1, \ 3)$$ and $$(– \ 2, \ 7)$$?
(A) $$3$$
(B) $$4$$
(C) $$5$$
(D) $$6$$
35- An angle is equal to one fifth of its supplement. What is the measure of that angle?
(A) $$20$$ degrees
(B) $$30$$ degrees
(C) $$45$$ degrees
(D) $$60$$ degrees
36- Two third of $$18$$ is equal to $$\frac{2}{5}$$ of what number?
(A) $$12$$
(B) $$20$$
(C) $$30$$
(D) $$60$$
37- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was $$60$$, what is the score of Emma?
(A) $$12$$
(B) $$15$$
(C) $$20$$
(D) $$30$$
38- The average of five consecutive numbers is $$38$$. What is the smallest number?
(A) $$38$$
(B) $$36$$
(C) $$34$$
(D) $$12$$
39- The average weight of $$18$$ girls in a class is $$60$$ kg and the average weight of $$32$$ boys in the same class is $$62$$ kg. What is the average weight of all the $$50$$ students in that class?
(A) $$60$$
(B) $$61.28$$
(C) $$61.68$$
(D) $$62.90$$
40- The price of a laptop is decreased by $$10\%$$ to $$360$$. What is its original price?
(A) $$320$$
(B) $$380$$
(C) $$400$$
(D) $$450$$
 1- Choice B is correct The correct answer is $$23.8$$Let $$x$$ be the number of cans.Write the proportion and solve for $$x$$.$$\frac{5 \ cans}{ 3.40}= \frac{35 \ cans}{x}$$ $$x =\frac{3.40 \ × \ 35}{5} ⇒x=23.8$$ 2- Choice A is correct The correct answer is $$x \ < \ 3$$ $$2 \ x \ + \ 4 \ > \ 11 \ x \ - \ 12.5 \ - \ 3.5 \ x→$$Combine like terms:$$2 \ x \ + \ 4 \ > \ 7.5 \ x \ - \ 12.5→$$ Subtract $$2 \ x$$ from both sides: $$4 \ > \ 5.5 \ x \ - \ 12.5$$Add $$12.5$$ both sides of the inequality.$$16.5 \ > \ 5.5 \ x$$, Divide both sides by $$5.5$$.$$\frac{16.5}{5.5} \ > \ x→$$$$x \ < \ 3$$ 3- Choice C is correct The correct answer is $$97.6$$Area of a square: S $$= a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4$$Perimeter of a square: P $$= 4 \ a ⇒$$ P $$= 4 \ × \ 24.4 ⇒$$ P $$= 97.6$$ 4- Choice A is correct The correct answer is $$2.25$$ ft.Write the proportion and solve for the missing number.$$\frac{32}{12} = \frac{6}{x}→$$$$32 \ x=6 \ × \ 12=72$$$$32 \ x=72→$$$$x=\frac{72}{32}=2.25$$ 5- Choice C is correct The correct answer is $$400$$Let $$x$$ be the original price. If the price of a laptop is decreased by $$10\%$$ to $$360$$, then: $$90\%$$ of $$x=360⇒$$$$0.90\ x=360 ⇒$$$$x=360 \ ÷ \ 0.90=400$$ 6- Choice C is correct The correct answer is $$130$$The perimeter of the trapezoid is $$54$$ cm.Therefore, the missing side (high) is $$= 54 \ – \ 18 \ – \ 12 \ – \ 14 = 10$$Area of a trapezoid: A $$= \frac{1}{2} \ h \ (b1 \ + \ b2) = \frac{1}{2} \ (10) \ (12 \ + \ 14) = 130$$ 7- Choice C is correct A graph represents y as a function of $$x$$ if $$x_{1}=x_{2}→y_{1}=y_{2}$$ In choice C, for each $$x$$, we have two different values for $$y$$. 8- Choice A is correct The correct answer is $$- \ 8 \ < \ x \ < \ - \ 5$$$$13 \ < \ - \ 3 \ x \ - \ 2 \ < \ 22→$$Add $$2$$ to all sides.$$13 \ + \ 2 \ < \ - \ 3 \ x \ - \ 2 \ + \ 2 \ < \ 22 \ + \ 2→$$$$15 \ < \ - \ 3 \ x \ < \ 24→$$ Divide all sides by $$- \ 3$$.(Remember that when you divide all sides of an inequality by a negative number, the inequality sing will be swapped. $$<$$ becomes $$>$$)$$\frac{15}{- \ 3} \ > \ \frac{- \ 3 \ x}{- \ 3} \ > \ \frac{24}{- \ 3}$$$$- \ 8 \ < \ x \ < \ - \ 5$$ 9- Choice B is correct The correct answer is $$\frac{1}{6}$$Number of biology book: $$35$$Total number of books; $$35 \ + \ 95 \ + \ 80=210$$The ratio of the number of biology books to the total number of books is: $$\frac{35}{210}=\frac{1}{6}$$ 10- Choice B is correct The correct answer is $$840$$Use simple interest formula:$$I=prt$$($$I =$$ interest, $$p =$$ principal, $$r =$$ rate, $$t =$$ time)$$I=(12000) \ (0.035) \ (2)=840$$ 11- Choice B is correct The correct answer is $$16 \ π$$Use the formula for area of circles. Area $$= π \ r^2 ⇒$$$$64 \ π = π \ r^2 ⇒$$$$64 = r^2 ⇒ r = 8$$Radius of the circle is $$8$$.Now, use the circumference formula:Circumference $$= 2 \ π \ r = 2 \ π \ (8) = 16 \ π$$ 12- Choice D is correct The correct answer is $$(200) \ (0.85) \ (0.85)$$To find the discount, multiply the number by ($$100\% \ –$$ rate of discount).Therefore, for the first discount we get: $$(200) \ (100\% \ – \ 15\%) = (200) \ (0.85)$$For the next $$15\%$$ discount: $$(200) \ (0.85) \ (0.85)$$ 13- Choice C is correct The correct answer is MathematicsCompare each mark:In Algebra Joe scored $$20$$ out of $$25$$ in Algebra.It means Joe scored $$80\%$$ of the total mark.$$\frac{20}{25} = \frac{x}{100} ⇒x= 80\%$$Joe scored $$30$$ out of $$40$$ in science.It means Joe scored $$75\%$$ of the total mark.$$\frac{30}{40} = \frac{x}{100} ⇒x= 75\%$$Joe scored $$68$$ out of $$80$$ in mathematic that it means $$85\%$$ of total mark.$$\frac{68}{80} = \frac{x}{100} ⇒x= 85\%$$Therefore, his score in mathematic is higher than his other scores. 14- Choice C is correct The correct answer is $$12$$ m$$^3$$Use the volume of the triangular prism formula.$$V = \frac{1}{2}$$ (length) (base) (high)$$V = \frac{1}{2} \ ×\ 4 \ × \ 3 \ × \ 2 ⇒ V = 12$$ m$$^3$$ 15- Choice B is correct The correct answer is $$0.88$$ DTo find the discount, multiply the price by ($$100\% \ –$$ rate of discount).Therefore, for the first discount we get: (D) $$(100\% \ –\ 20\%) =$$ (D) $$(0.80) = 0.80$$ DTo increase the $$10\%:\ (0.80$$ D) $$(100\% \ + \ 10\%) = (0.85$$ D) $$(1.10) = 0.88$$ D $$= 88\%$$ of D 16- Choice D is correct The correct answer is $$(7, \ - \ 9)$$When a point is reflected over $$x$$ axes, the $$(y)$$ coordinate of that point changes to $$(- \ y)$$ while its $$x$$ coordinate remains the same. C $$(7, \ 9) →$$ C’ $$(7, \ - \ 9)$$ 17- Choice B is correct The correct answer is $$0.97$$Ratio of women to men in city A: $$\frac{570}{600}=0.95$$Ratio of women to men in city B: $$\frac{291}{300}=0.97$$Ratio of women to men in city C: $$\frac{665}{700}=0.95$$Ratio of women to men in city D: $$\frac{528}{550}=0.96$$ 18- Choice D is correct The correct answer is $$1.05$$Percentage of men in city A $$= \frac{600}{1170} \ × \ 100=51.28\%$$Percentage of women in city C $$= \frac{665}{1365} \ × \ 100=48.72\%$$ Percentage of men in city A to percentage of women in city C $$= \frac{ 51.28}{48.72}=1.05$$ 19- Choice B is correct The correct answer is $$12$$let $$x$$ be the number of gallons of water the container holds when it is full.Then; $$\frac{7}{24} \ x=3.5→$$$$x=\frac{24 \ × \ 3.5}{7}=12$$ 20- Choice C is correct The correct answer is $$4$$$$(3^a )^b=81→3^{a \ b}=81$$$$81=3^4→3^{a \ b}=3^4$$$$→a \ b=4$$ 21- Choice A is correct The correct answer is $$− \ 8 \ < \ x \ < \ − \ 5$$$$13 \ < \ - \ 3 \ x \ - \ 2 \ < \ 22→$$ Add $$2$$ to all sides.$$13 \ + \ 2 \ < \ - \ 3 \ x \ - \ 2 \ + \ 2 \ < \ 22 \ + \ 2$$$$→15 \ < \ - \ 3 \ x \ < \ 24→$$ Divide all sides by $$- \ 3$$.(Remember that when you divide all sides of an inequality by a negative number, the inequality sing will be swapped. $$<$$ becomes $$>$$)$$\frac{15}{- \ 3} \ > \ \frac{- \ 3 \ x}{- \ 3} \ > \ \frac{24}{- \ 3}$$$$- \ 8 \ < \ x \ < \ - \ 5$$ 22- Choice C is correct The correct answer is $$\frac{5}{2}$$The value of y in the x-intercept of a line is zero. Then:$$y=0→2 \ x \ - \ 2 \ (0)=5 → 2 \ x=5→x=\frac{5}{2}$$then, $$x-$$intercept of the line is $$\frac{5}{2}$$ 23- Choice B is correct The correct answer is $$x \ ≤ \ – \ 3$$Simplify:$$10 \ – \ \frac{2}{3} \ x \ ≥ \ 12 ⇒$$$$– \ \frac{2}{3} \ x \ ≥ \ 2 ⇒$$$$– \ x \ ≥ \ 3 ⇒$$$$x \ ≤ \ – \ 3$$ 24- Choice A is correct The correct answer is $$84$$$$120 \ × \ \frac{70}{100 }= 84$$ 25- Choice B is correct The correct answer is $$y = x \ + \ 1$$Solve for each equation:$$(− \ 1, 2)$$A. $$y = 1 \ – \ x ⇒ 2 = 1 \ – \ (– \ 1) ⇒ 2 = 2$$B. $$y = x \ + \ 1 ⇒ 2 = \ – \ 1 \ + \ 1 ⇒ 2 ≠ 0$$C. $$x = \ – \ 1 ⇒ \ – \ 1 = \ – \ 1$$D. $$y = x \ + \ 3 ⇒ 2 = \ – \ 1 \ + \ 3 ⇒ 2 = 2$$ 26- Choice C is correct The correct answer is $$(3, 18)$$$$y = 5 \ x \ – \ 3$$A. $$(1, 2)$$            $$⇒ 2 = 5 \ – \ 3 ⇒ 2 = 2$$B. $$(–\ 2, – \ 13)$$   $$⇒ \ – \ 13 = \ – \ 10 \ – \ 3 ⇒ \ – \ 13 = \ – \ 13$$C. $$(3, 18)$$          $$⇒ 18 = 15 \ – \ 3 ⇒ 18 ≠ 12$$D. $$(2, 7)$$            $$⇒ 7 = 10 \ – \ 3 ⇒7 = 7$$ 27- Choice B is correct The correct answer is $$35$$$$a \ + \ b \ + \ c = 45$$$$\frac{a \ + \ b \ + \ c \ + \ d}{4 }= 20 ⇒$$$$a \ + \ b \ + \ c \ + \ d = 80 ⇒$$$$45 \ + \ d = 80$$$$d = 80 \ – \ 45 = 35$$ 28- Choice A is correct The correct answer is $$2660$$$$45 \ × \ 124=5580$$ Payable amount is:$$8240 \ - \ 5580=2660$$ 29- Choice C is correct The correct answer is $$y = \frac{6}{7} \ x \ + \ \frac{12}{7}$$$$- \ 7 \ y= \ - \ 6 \ x \ - \ 12⇒$$$$y=\frac{- \ 6}{- \ 7} \ x \ - \ \frac{12}{- \ 7}⇒$$$$y=\frac{6}{7} \ x \ + \ \frac{12}{7}$$ 30- Choice C is correct The correct answer is $$(1, 4)$$$$\begin{cases}5 \ x \ + \ y=9 \\10 \ x \ - \ 7 \ y = \ - \ 18\end{cases} ⇒$$ Multiply $$(– \ 2)$$ to the first equation $$\begin{cases}- \ 10 \ x \ - \ 2 \ y= \ - \ 18 \\10 \ x \ - \ 7 \ y = \ - \ 18\end{cases} ⇒$$Add two equations together $$⇒ \ – \ 9 \ y = \ – \ 36 ⇒ y = 4$$, then: $$x = 1$$ 31- Choice C is correct The correct answer is $$2 \ x \ – \ y = 4$$If two lines are parallel with each other, then the slope of the two lines is the same.Then in line $$y=2 \ x$$, the slope is equal to $$2$$And in the line $$2 \ x \ - \ y=4⇒y=2 \ x \ - \ 4$$, the slope equal to $$2$$ 32- Choice D is correct The correct answer is $$11$$$$\frac{a \ + \ b}{2} = 8 ⇒ a \ + \ b = 16$$$$\frac{a \ + \ b \ + \ c}{3} = 9 ⇒ a \ + \ b \ + \ c = 27$$ $$16 \ + \ c = 27 ⇒ c = 27 \ – \ 16 = 11$$ 33- Choice C is correct The correct answer is $$4 \ x \ – \ 2 \ y = 2 \ x$$$$4 \ x \ – \ 2 \ y = 2 \ x$$ has a graph that is a straight line.All other options are not equations of straight lines. 34- Choice C is correct The correct answer is $$5$$Use distance formula:C $$= \sqrt{(x_{A} \ - \ x_{B})^2 \ + \ (y \ - \ y_{B})^2 }$$C $$= \sqrt{(1 \ - \ (- \ 2))^2 \ + \ (3 \ - \ 7)^2 }$$ C $$= \sqrt{(3)^2 \ + \ (- \ 4)^2 }$$ C $$= \sqrt{9 \ + \ 16}$$ C $$= \sqrt{25} = 5$$ 35- Choice B is correct The correct answer is $$30$$ degreesThe sum of supplement angles is $$180$$.Let $$x$$ be that angle. Therefore, $$x \ + \ 5 \ x = 180$$$$6 \ x = 180$$, divide both sides by $$6: \ x = 30$$ 36- Choice C is correct The correct answer is $$30$$Let $$x$$ be the number.Write the equation and solve for $$x$$. $$\frac{2}{3} \ × \ 18= \frac{2}{5 }, x ⇒ \frac{2 \ × \ 18}{3}= \frac{2 \ x}{5}$$, use cross multiplication to solve for $$x$$.$$5 \ × \ 36=2 \ x \ × \ 3 ⇒180=6 \ x ⇒ x=30$$ 37- Choice B is correct The correct answer is $$15$$If the score of Mia was $$60$$, therefore the score of Ava is $$30$$. Since, the score of Emma was half as that of Ava, therefore, the score of Emma is $$15$$. 38- Choice B is correct The correct answer is $$36$$Let $$x$$ be the smallest number.Then, these are the numbers:$$x, x \ + \ 1, x \ + \ 2, x \ + \ 3, x \ + \ 4$$average $$= \frac{sum \ of \ terms}{number \ of \ terms} ⇒$$$$38 = \frac{x \ + \ (x \ + \ 1) \ + \ (x \ + \ 2) \ + \ (x \ + \ 3) \ + \ (x \ + \ 4)}{5}⇒$$$$38=\frac{5 \ x \ + \ 10 }{5} ⇒ 190 = 5 \ x \ + \ 10 ⇒$$$$180 = 5 \ x ⇒ x=36$$ 39- Choice B is correct The correct answer is $$61.28$$average $$= \frac{sum \ of \ terms}{number \ of \ terms}$$The sum of the weight of all girls is: $$18 \ × \ 60 = 1080$$ kgThe sum of the weight of all boys is: $$32 \ × \ 62 = 1984$$ kgThe sum of the weight of all students is: $$1080 \ + \ 1984 = 3064$$ kgaverage $$= \frac{3064}{50} = 61.28$$ 40- Choice C is correct The correct answer is $$400$$Let $$x$$ be the original price. If the price of a laptop is decreased by $$10\%$$ to $$360$$, then: $$90\%$$ of $$x=360⇒ 0.90 \ x=360 ⇒ x=360 \ ÷ \ 0.90=400$$

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