 ## Full Length SSAT Middle Level Mathematics Practice Test

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SSAT Middle Level Mathematics Practice Test 4

Section 1

25 questions
Total time for this test: 30 Minutes
You may NOT use a calculator for this test.

1- If $$0.65$$ equals $$65$$ M, what is the value of M?
(A) $$0.1$$
(B) $$0.01$$
(C) $$0.011$$
(D) $$0.11$$
(E) $$1$$
2- How long does a $$490$$–miles trip take moving at $$70$$ miles per hour (mph)?
(A) $$7$$ hours and $$20$$ minutes
(B) $$5$$ hours and $$36$$ minutes
(C) $$7$$ hours
(D) $$4$$ hours and $$10$$ minutes
(E) $$2$$ hours
3- Jack borrowed $$5,400$$ for three months at an annual rate of  $$4\%$$. How much interest did Jack owe?
(A) $$\ 36$$
(B) $$\ 24$$
(C) $$\ 54$$
(D) $$\ 61$$
(E) $$\ 45$$
4- The marked price of a laptop is D dollar. Its price decreased by $$15\%$$ in January and later increased by $$10\%$$ in February. What is the final price of the computer in D dollar?
(A) $$93.5$$ D
(B) $$90$$ D
(C) $$82$$ D
(D) $$75$$ D
(E) $$92$$ D
5- The average of $$11, \ 14, \ 19$$ and $$x$$ is $$16$$. What is the value of $$x$$?
(A) $$25$$
(B) $$33$$
(C) $$15$$
(D) $$28$$
(E) $$20$$
6- If three times a certain number, increased by $$18$$, is equal to $$36$$, what is the number?
(A) $$3$$
(B) $$6$$
(C) $$9$$
(D) $$4$$
(E) $$12$$
7- Alex has N toy cars. John has $$5$$ more cars than Alex. If John gives Alex $$3$$ cars, how many cars will John have, in terms of N?
(A) $$N$$
(B) N$$+ \ 1$$
(C) N$$+ \ 2$$
(D) N$$+ \ 3$$
(E) N$$+ \ 4$$
8- In five successive hours, a car travels $$45$$ km, $$50$$ km, $$55$$ km, $$35$$ km and $$60$$ km. In the next five hours, it travels with an average speed of $$55$$ km per hour. Find the total distance the car traveled in $$10$$ hours.
(A) $$250$$ km
(B) $$520$$ km
(C) $$624$$ km
(D) $$450$$ km
(E) $$620$$ km
9- What is the value of $$x$$ in the following equation?
$$\frac{x \ +\ 3}{6} = 5$$
(A) $$27$$
(B) $$7$$
(C) $$8$$
(D) $$12$$
(E) $$22$$
10- If $$20$$ percent of a number is $$120$$, then $$18$$ percent of the same number is:
(A) $$85$$
(B) $$100$$
(C) $$72$$
(D) $$108$$
(E) $$60$$
11- If $$60\%$$ of A is $$30\%$$ of B, then B is what percent of A?
(A) $$20\%$$
(B) $$200\%$$
(C) $$300\%$$
(D) $$2\%$$
(E) $$400\%$$
12- The ratio of boys to girls in a school is $$3:5$$. If there are $$800$$ students in a school, how many boys are in the school?
(A) $$300$$
(B) $$250$$
(C) $$400$$
(D) $$600$$
(E) $$320$$
13- What is the cost of six ounces of cheese at $$0.86$$ per pound?
(A) $$\ 0.42$$
(B) $$\ 0.25$$
(C) $$\ 0.318$$
(D) $$\ 0.56$$
(E) $$\ 0.412$$
14- Ann purchased a sofa for $$\ 450.20$$. The sofa is regularly priced at $$\ 520$$. What was the percent discount Ann received on the sofa?
(A) $$24.5\%$$
(B) $$15\%$$
(C) $$13.5\%$$
(D) $$30\%$$
(E) $$10\%$$
15- Two third of $$18$$ is equal to $$\frac{2}{5}$$ of what number?
(A) $$30$$
(B) $$25$$
(C) $$45$$
(D) $$20$$
(E) $$60$$
16- A bag contains $$20$$ balls: two green, five black, eight blue, a brown, two red and two white. If $$15$$ balls are removed from the bag at random, what is the probability that a brown ball has been removed?
(A) $$\frac{17}{18}$$
(B) $$\frac{10}{19}$$
(C) $$\frac{17}{20}$$
(D) $$\frac{19}{20}$$
(E) $$\frac{15}{20}$$
17- $$60$$ students took an exam and $$15$$ of them failed. What percent of the students passed the exam?
(A) $$60\%$$
(B) $$75\%$$
(C) $$50\%$$
(D) $$45\%$$
(E) $$80\%$$
18- When a number is subtracted from $$40$$ and the difference is divided by that number, the result is $$4$$. What is the value of the number?
(A) $$8$$
(B) $$6$$
(C) $$5$$
(D) $$9$$
(E) $$4$$
19- If $$N \times \frac{2}{5} \times 3 = 0$$, then $$N =$$….
(A) $$4$$
(B) $$2$$
(C) $$6$$
(D) $$0$$
(E) $$5$$
20- If $$60\%$$ of a class are girls, and $$30\%$$ of girls play tennis, what percent of the class play tennis?
(A) $$10\%$$
(B) $$16\%$$
(C) $$20\%$$
(D) $$35\%$$
(E) $$18\%$$
21- What is the value of $$x$$ in the following equation?
$$4 \ x\ + \ 7 = 43$$
(A) $$9$$
(B) $$4$$
(C) $$6$$
(D) $$7$$
(E) $$12$$

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22- If $$30\%$$ of a number is $$6$$, what is the number?
(A) $$12$$
(B) $$14$$
(C) $$15$$
(D) $$25$$
(E) $$20$$
23- In $$1999$$, the average worker's income increased $$3,000$$ per year starting from $$32,000$$ annual salary.  Which equation represents income greater than average? (I $$=$$ income, x $$=$$ number of years after $$1999$$)
(A) $$I \ > \ 3000 \ x \ + \ 32000$$
(B) $$I \ > \ - \ 3000 \ x \ + \ 32000$$
(C) $$I \ < \ - \ 3000 \ x \ + \ 32000$$
(D) $$I \ < \ - \ 3000 \ x \ - \ 32000$$
(E) $$I \ < \ 3000 \ x \ - \ 32000$$
24- Jack left a $$\ 14.00$$ tip on a lunch that cost $$\ 56.00$$, approximately what percentage was the tip?
(A) $$30\%$$
(B) $$22\%$$
(C) $$25\%$$
(D) $$42\%$$
(E) $$15\%$$
25- If $$\frac{z}{3} = 3$$, then $$z \ + \ 4 =$$?
(A) $$13$$
(B) $$20$$
(C) $$18$$
(D) $$7$$
(E) $$10$$

SSAT Middle Level Mathematics Practice Test 4

Section 2

25 questions
Total time for this test: 30 Minutes
You may NOT use a calculator for this test.

26- What is the value of $$x$$ in this equation?
$$\frac{x \ - \ 5}{6} \ + \ 5 = 28$$
(A) $$170$$
(B) $$125$$
(C) $$143$$
(D) $$110$$
(E) $$90$$
27- The width of a rectangle is $$4 \ x$$, the length is $$6 \ x$$, and the perimeter is $$50$$. What is the value of $$x$$?
(A) $$2.5$$
(B) $$4$$
(C) $$3$$
(D) $$6$$
(E) $$5.5$$
28- Josh has $$x$$ dollars and he receives $$120$$. He then buys a bicycle that costs $$100$$. How much money does Josh have now?
(A) $$x \ + \ 30$$
(B) $$x \ + \ 120$$
(C) $$x \ + \ 20$$
(D) $$x \ - \ 20$$
(E) $$x \ - \ 30$$
29- A bank is offering $$2.5\%$$ simple interest on a savings account. If you deposit $$\ 4,000$$, how much interest will you earn in five years?
(A) $$\ 750$$
(B) $$\ 520$$
(C) $$\ 500$$
(D) $$\ 350$$
(E) $$\ 800$$
30- David needs an $$65\%$$ average in his writing class to pass. On his first $$4$$ exams, he earned scores of $$62\%, \ 70\%, \ 75\%$$, and $$80\%$$. What is the minimum score David can earn on his fifth and final test to pass?
(A) $$\%30$$
(B) $$\%45$$
(C) $$\%27$$
(D) $$\%35$$
(E) $$\%57$$
31- Alex is $$12$$ miles ahead of Jack running at $$4.5$$ miles per hour and Jack is running at the speed of $$6$$ miles per hour. How long does it take Jack to catch Jason?
(A) $$8$$ hours
(B) $$5$$ hours
(C) $$3$$ hours
(D) $$12$$ hours
(E) $$2$$ hours
32- The area of a circle is $$81 \ π$$. What is the diameter of the circle?
(A) $$5$$
(B) $$12$$
(C) $$6$$
(D) $$18$$
(E) $$7$$
33- Three one – foot rulers can be split among how many users to leave each with $$\frac{1}{5}$$ of a ruler?
(A) $$10$$
(B) $$8$$
(C) $$15$$
(D) $$20$$
(E) $$24$$
34- If $$(8 \ -\ 6) \times 4 = 8 \ + \Box$$, then $$\Box =$$?
(A) $$5$$
(B) $$1$$
(C) $$6$$
(D) $$8$$
(E) $$5$$
35- In a classroom, there are $$y$$ tables that can each seat $$6$$ people and there are $$x$$ tables that can each seat $$10$$ people. What is the number of people that can be seated in the classroom?
(A) $$10 \ x \ + \ 6 \ y$$
(B) $$6 \ x \ + \ 10 \ y$$
(C) $$2 \ x \ + \ 5 \ y$$
(D) $$6 \ x \ - \ 10 \ y$$
(E) $$10 \ x \ - \ 6 \ y$$
36- The perimeter of a rectangular yard is $$42$$ meters. What is its length if its width is twice its length?
(A) $$7$$
(B) $$10$$
(C) $$5$$
(D) $$8$$
(E) $$4$$
37- The mean of $$42$$ test scores was calculated as $$77$$. But, it turned out that one of the scores was misread as $$92$$ but it was $$68$$. What is the mean?
(A) $$71.25$$
(B) $$35.45$$
(C) $$81.36$$
(D) $$76.40$$
(E) $$70.24$$
38- A shirt costing $$250$$ is discounted $$10\%$$. After a month, the shirt is discounted another $$10\%$$. Which of the following expressions can be used to find the selling price of the shirt?
(A) $$(250) \ (0.80) \ (0.80)$$
(B) $$(250) \ (0.80)$$
(C) $$(250) \ - \ 200 \ (0.80)$$
(D) $$(250) \ - \ 200 \ (0.10) \ (0.80)$$
(E) $$(250) \ - \ (0.10) \ (0.80)$$
39- The average of $$8$$ numbers is $$16$$. The average of $$6$$ of those numbers is $$8$$. What is the average of the other two numbers?
(A) $$25$$
(B) $$36$$
(C) $$40$$
(D) $$51$$
(E) $$49$$
40- A card is drawn at random from a standard $$65$$–card deck, what is the probability that the card is of Hearts? (The deck includes $$13$$ of each suit clubs, diamonds, hearts, and spades)
(A) $$\frac{1}{4}$$
(B) $$\frac{1}{12}$$
(C) $$\frac{1}{24}$$
(D) $$\frac{1}{85}$$
(E) $$\frac{1}{5}$$
41- Mr. Smith saves $$4,500$$ out of his monthly family income of $$45,000$$. What fractional part of his income does he save?
(A) $$\frac{1}{10}$$
(B) $$\frac{1}{15}$$
(C) $$\frac{1}{30}$$
(D) $$\frac{1}{18}$$
(E) $$\frac{1}{7}$$
42- If $$x \ + \ 3 = 6, \ 2 \ y \ - \ 2 = 10$$ then $$x\ y \ + \ 8=$$?
(A) $$15$$
(B) $$22$$
(C) $$10$$
(D) $$20$$
(E) $$8$$
43- Which of the following is NOT less than $$\frac{1}{6}$$?
(A) $$\frac{1}{4}$$
(B) $$\frac{1}{8}$$
(C) $$\frac{1}{10}$$
(D) $$\frac{1}{7}$$
(E) $$\frac{1}{9}$$
44- If $$x = 7$$, then $$2 \ x \ + \ 5 =$$?
(A) $$10$$
(B) $$8$$
(C) $$19$$
(D) $$6$$
(E) $$7$$
45- If $$150\%$$ of a number is $$75$$, then what is the $$90\%$$ of that number?
(A) $$40$$
(B) $$23$$
(C) $$35$$
(D) $$50$$
(E) $$45$$
46- The perimeter of the trapezoid below is $$49$$ cm. What is its area? (A) $$121$$ cm$$^2$$
(B) $$80$$ cm$$^2$$
(C) $$92$$ cm$$^2$$
(D) $$65$$ cm$$^2$$
(E) $$74$$ cm$$^2$$
47- In two successive years, the population of a town is increased by $$10\%$$ and $$15\%$$. What percent of the population is increased after two years?
(A) $$\%10$$
(B) $$\%15$$
(C) $$\%30$$
(D) $$\%45$$
(E) $$\%26$$
48- What is the equivalent temperature of $$110^{°}$$ F in Celsius? (C $$=$$ Celsius)
C $$= \frac{4}{8}$$ (F $$– \ 30$$)
(A) $$40$$
(B) $$46$$
(C) $$50$$
(D) $$35$$
(E) $$62$$
49- The width of a box is one third of its length. The height of the box is one fourth of its width. If the length of the box is $$24$$ cm, what is the volume of the box?
(A) $$384$$ cm$$^3$$
(B) $$253$$ cm$$^3$$
(C) $$315$$ cm$$^3$$
(D) $$280$$ cm$$^3$$
(E) $$400$$ cm$$^3$$
50- What is the value of $$x$$ in this equation?
$$2 \ x\ +\ 10 = 40$$
(A) $$12$$
(B) $$15$$
(C) $$8$$
(D) $$20$$
(E) $$18$$
 1- Choice B is correct The correct answer is $$0.01$$$$0.65$$ equals $$65$$ M.Then: $$0.65=65$$ M $$→$$M $$=\frac{0.65}{65}=0.01$$ 2- Choice C is correct The correct answer is $$7$$ hoursUse distance formula:Distance $$=$$ Rate $$\times$$ time $$⇒$$$$490 = 70 \ \times$$ T, divide both sides by $$70$$.$$\frac{490}{ 70} =$$ T $$⇒$$T $$= 7$$ hours. 3- Choice C is correct The correct answer is $$54$$Use simple interest formula:I $$=$$ prt (I $$=$$ interest, p $$=$$ principal, r $$=$$ rate, t $$=$$ time)t is for one year.For $$3$$ months, t is $$\frac{1}{4}$$ or $$0.25$$I $$=(5,400) \ (0.04) \ (0.25)=54$$ 4- Choice A is correct The correct answer is $$93.5$$ DTo find the discount, multiply the number by($$100\% \ –$$ rate of discount).Therefore, for the first discount we get:(D) ($$100\% \ – \ 15\%$$) = (D) $$(0.85) = 0.85$$ DFor increase of $$10\%: \ (0.85$$ D) $$(100\% \ + \ 10\%) =$$$$(0.85$$ D) $$(1.10) = 93.5$$ D $$=93.5$$$$93.5\%$$ of D 5- Choice E is correct The correct answer is $$20$$average $$= \frac{sum \ of \ terms}{number \ of \ terms} ⇒$$$$16 = \frac{11 \ + \ 14 \ + \ 19 \ + \ x}{4} ⇒$$$$64 = 44 \ + \ x ⇒$$$$x = 20$$ 6- Choice B is correct The correct answer is $$6$$Three times a certain number, increased by $$18$$, is equal to $$36$$.Write an equation and solve.$$3 \ x \ + \ 18=36→$$$$3 \ x=36 \ - \ 18=18→$$$$x=\frac{18}{3}=6$$ 7- Choice C is correct The correct answer is $$N \ + \ 2$$Alex has $$N$$ toy cars.John has $$5$$ more cars than Alex.Therefore, Alex has $$N \ + \ 5$$ toy cars.John gives Alex $$3$$ cars.Now, Alex has $$(N \ + \ 5 \ – \ 3) \ N \ + \ 2$$ toy cars. 8- Choice B is correct The correct answer is $$520$$ kmAdd the first $$5$$ numbers.$$45 \ + \ 50 \ + \ 55 \ + \ 35 \ + \ 60 = 245$$To find the distance traveled in the next $$5$$ hours, multiply the average by number of hours.Distance $$=$$ Average $$\times$$ Rate $$= 55 \times 5 = 275$$Add both numbers.$$245 \ + \ 275 =520$$ km 9- Choice A is correct The correct answer is $$27$$$$\frac{x \ + \ 3}{6}=5→$$$$x \ + \ 3=5 \ × \ 6=30→$$$$x=30 \ - \ 3=27$$ 10- Choice D is correct The correct answer is $$108$$$$20$$ percent of a number is $$120$$.Therefore, the number is $$600$$.$$0.20 \ x=120→$$$$x=\frac{120}{0.20}=600$$$$18$$ percent of $$600$$ is $$108$$.$$0.18 \times 600=108$$ 11- Choice B is correct The correct answer is $$200\%$$Write the equation and solve for B:$$0.60$$ A $$=0.30$$ B , divide both sides by $$0.30$$, then you will have $$\frac{0.60}{0.30}$$ A $$=$$ B, therefore: B $$= 2$$ A, and B is $$2$$ times of A or it’s $$200\%$$ of A. 12- Choice A is correct The correct answer is $$300$$The ratio of boy to girls is $$3:5$$.Therefore, there are $$3$$ boys out of $$8$$ students.To find the answer, first divide the total number of students by $$8$$, then multiply the result by $$3$$. $$800 \ ÷ \ 8 = 100 ⇒$$$$100 \ × \ 3 = 300$$ 13- Choice C is correct The correct answer is $$0.318$$One pound of cheese costs $$0.86$$.One pound $$=16$$ ounces$$16$$ ounces of cheese costs $$0.86$$.Then, $$1$$ ounce of chees costs $$(0.86 \ ÷ \ 16) \ 0.053$$. $$6$$ ounces of cheese costs $$(6 \ × \ 0.053) \ 0.318$$. 14- Choice C is correct The correct answer is $$13.5\%$$The question is this:$$450.40$$ is what percent of $$520$$?Use percent formula:part $$=\frac{ percent}{100} \ ×$$ whole$$450.20 = \frac{percent}{100} \ × \ 520 ⇒$$$$450.20 = \frac{percent \ ×\ 520}{100} ⇒$$$$45020 =$$ percent $$× \ 520 ⇒$$ percent $$= \frac{45020}{520} = 86.5$$$$450.20$$ is $$86.5\%$$ of $$520$$.Therefore, the discount is:$$100\% \ – \ 86.5\% = 13.5\%$$ 15- Choice A is correct The correct answer is $$30$$Let $$x$$ be the number.Write the equation and solve for $$x$$. $$\frac{2}{3} \times 18= \frac{2}{5}$$.$$x ⇒ \frac{2 \ × \ 18}{3}= \frac{2 \ x}{5}$$use cross multiplication to solve for $$x$$.$$5 \ × \ 36= 2 \ x \ × \ 3 ⇒$$$$180=6 \ x ⇒ x=30$$ 16- Choice D is correct The correct answer is $$\frac{19}{20}$$If $$15$$ balls are removed from the bag at random, there will be five balls in the bag. The probability of choosing a brown ball is $$1$$ out of $$20$$.Therefore, the probability of not choosing a brown ball is $$19$$ out of $$20$$ and the probability of having not a brown ball after removing $$19$$ balls is the same. 17- Choice B is correct The correct answer is $$75\%$$The failing rate is $$15$$ out of $$60 = \frac{15}{40}$$Change the fraction to percent:$$\frac{15}{60} \ × \ 100\%=25\%$$$$25$$ percent of students failed.Therefore, $$75$$ percent of students passed the exam. 18- Choice A is correct The correct answer is $$8$$Let $$x$$ be the number.Write the equation and solve for $$x$$.$$(40 \ – \ x) \ ÷ \ x = 4$$, Multiply both sides by $$x$$. $$(40\ – \ x) = 4 \ x$$, then add $$x$$ both sides.$$40 = 5 \ x$$, now divide both sides by $$5$$.$$x = 8$$ 19- Choice D is correct The correct answer is $$0$$$$N \ × \ \frac{2}{5} \ × \ 3=0$$, then $$N$$ must be $$0$$. 20- Choice E is correct The correct answer is $$18\%$$The percent of girls playing tennis is:$$60\% \ × \ 30\%=$$$$0.60 \ × \ 0.30=0.18=18\%$$ 21- Choice A is correct The correct answer is $$9$$$$4 \ x \ +\ 7=→43$$$$4 \ x=43 \ - \ 7=36→$$$$x=\frac{36}{4}=9$$ 22- Choice E is correct The correct answer is $$20$$Let $$x$$ be the number.Write the equation and solve for $$x$$. $$30\%$$ of $$x=6⇒$$$$0.30 \ x=6 ⇒$$$$x=6 \ ÷ \ 0.30=20$$ 23- Choice A is correct The correct answer is $$I \ > \ 3000 \ x \ + \ 32000$$Let $$x$$ be the number of years.Therefore, $$3,000$$ per year equals $$3000 \ x$$. starting from $$32,000$$ annual salary means you should add that amount to $$3000 \ x$$. Income more than that is:$$I \ > \ 3000 \ x \ + \ 32000$$ 24- Choice C is correct The correct answer is $$25\%$$$$\ 14$$ is what percent of $$\ 56$$?$$14 \ ÷ \ 56 = 0.25 = 25\%$$ 25- Choice A is correct The correct answer is $$13$$$$\frac{z}{3} =3→$$$$z=3 \ ×\ 3=9$$$$z \ + \ 4=9 \ + \ 4=13$$ 25- Choice A is correct The correct answer is $$13$$$$\frac{z}{3} =3→$$$$z=3 \ ×\ 3=9$$$$z \ + \ 4=9 \ + \ 4=13$$ 26- Choice C is correct The correct answer is $$143$$$$\frac{x \ - \ 5}{6} \ + \ 5=28→$$$$\frac{x \ - \ 5}{6}=28 \ - \ 5=23→$$$$x \ - \ 5=23 \ × \ 6=138→$$$$x=138 \ + \ 5=143$$ 27- Choice A is correct The correct answer is $$2.5$$The width of a rectangle is $$4 \ x$$ and its length is $$6 \ x$$.Then, the perimeter of the rectangle is $$20 \ x$$.Perimeter of a rectangle $$= 2$$ (width $$+$$ length) $$=2 \ (4 \ x \ + \ 6 \ x)=20 \ x$$The perimeter of the rectangle is $$50$$. Then:$$20 \ x=50→x=2.5$$ 28- Choice C is correct The correct answer is $$x \ + \ 20$$John has $$x$$ dollars and he receives $$120$$.Therefore, he has $$x \ + \ 120$$. He then buys a bicycle that costs $$100$$.Now, he has:$$x \ + \ 120 \ - \ 100= x \ + \ 20$$ 29- Choice C is correct The correct answer is $$\ 500$$Use simple interest formula: I $$=$$ prt (I $$=$$ interest, p $$=$$ principal, r $$=$$ rate, t $$=$$ time)I $$= (4,000) \ (0.025) \ (5)=500$$ 30- Choice C is correct The correct answer is $$27\%$$David needs an $$45\%$$ average to pass for five exams.Therefore, the sum of $$4$$ exams must be at least $$4 \ ×\ 65 = 260$$The sum of $$4$$ exams is:$$62 \ + \ 70 \ + \ 75 \ + \ 80 = 287$$.The minimum score David can earn on his fifth and final test to pass is:$$287 \ – \ 260 = 27$$ 31- Choice A is correct The correct answer is $$8$$ hoursThe 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. $$12 \ ÷\ 1.5 = 8$$ 32- Choice D is correct The correct answer is $$18$$The formula for the area of the circle is:A $$=π \ r^2$$The area of the circle is $$81 \ π$$. Therefore:A $$=π \ r^2 ⇒$$$$81 \ π = π \ r^2$$Divide both sides by $$π$$:$$81 = r^2 ⇒ r=9$$Diameter of a circle is $$2 \times$$ radius.Then: Diameter $$= 2 \ ×\ 9 = 18$$ 33- Choice C is correct The correct answer is $$15$$$$3 \ ÷ \ \frac{1}{5} = 15$$ 34- Choice B is correct The correct answer is $$1$$$$(8 \ - \ 6)\ × \ 4=8 \ + \ \Box$$Then:$$2 \ × \ 4=8 \ + \ \Box, \ 8 =8 \ +\ \Box$$, then:$$\Box = 1$$ 35- Choice A is correct The correct answer is $$10 \ x \ + \ 6 \ y$$There are $$y$$ tables that can each seat $$6$$ people and there are $$x$$ tables that can each seat $$10$$ people.Therefore, $$6 \ y \ + \ 10 \ x$$ people can be seated in the classroom. 36- Choice A is correct The correct answer is $$7$$ metersThe width of the rectangle is twice its length.Let $$x$$ be the length.Then, width $$=2 \ x$$Perimeter of the rectangle is $$2$$ (width $$+$$ length) $$= 2 \ (2 \ x \ + \ x)=42 ⇒$$$$6 \ x=42 ⇒$$$$x=7$$Length of the rectangle is $$7$$ meters. 37- Choice D is correct The correct answer is $$76.40$$average (mean) $$= \frac{sum \ of \ terms}{number \ of \ terms} ⇒$$$$77 = \frac{sum \ of\ terms}{42} ⇒$$sum $$= 77 \ × \ 42 = 3234$$The difference of $$92$$ and $$68$$ is $$24$$.Therefore, $$24$$ should be subtracted from the sum.$$3234 \ – \ 25 = 3209$$mean $$= \frac{sum \ of \ terms}{number \ of \ terms} ⇒$$mean $$= \frac{3209}{42} = 76.40$$ 38- Choice A is correct The correct answer is $$(250) \ (0.80) \ (0.80)$$To find the discount, multiply the number by ($$100\% \ –$$ rate of discount).Therefore, for the first discount we get:$$(250) (100\% \ – \ 10\%) = (250) \ (0.80) = 200$$For the next $$10\%$$ discount: $$(250) \ (0.80) \ (0.80)$$ 39- Choice C is correct The correct answer is $$40$$average $$= \frac{sum \ of \ terms}{number \ of \ terms} ⇒$$(average of $$8$$ numbers) $$16 = \frac{sum \ of \ numbers }{8} ⇒$$sum of $$8$$ numbers is: $$16 \ × \ 8 = 128$$(average of $$6$$ numbers) $$8 = \frac{sum \ of \ numbers}{6} ⇒$$sum of $$6$$ numbers is $$8 \ × \ 6 = 48$$sum of $$8$$ numbers $$–$$ sum of $$6$$ numbers $$=$$ sum of $$2$$ numbers$$128 \ – \ 48 = 80$$ average of $$2$$ numbers $$= \frac{80}{2} = 40$$ 40- Choice E is correct The correct answer is $$\frac{1}{5}$$The deck contains $$13$$ Hearts.Then, the probability of choosing a Hearts is $$\frac{13}{65}=\frac{1}{5}$$ 41- Choice A is correct The correct answer is $$\frac{1}{10}$$$$4,500$$ out of $$45,000$$ equals to $$\frac{4500}{45000} = \frac{45}{450} = \frac{1}{10}$$ 42- Choice D is correct The correct answer is $$20$$$$x \ + \ 3=6→$$$$x=6 \ - \ 3=3$$$$2 \ y \ -\ 2=10→$$$$2 \ y=8→$$$$y=4$$$$x \ y \ +\ 8=3 \ × \ 4 \ + \ 8=20$$ 43- Choice A is correct The correct answer is $$\frac{1}{4}$$From the options provided, only $$\frac{1}{4}$$ is greater than $$\frac{1}{6}$$. 44- Choice C is correct The correct answer is $$19$$$$x=7$$, then:$$2 \ x \ + \ 5=2 \ ×\ 7 \ +\ 5=14 \ + \ 5=19$$ 45- Choice E is correct The correct answer is $$45$$First, find the number.Let $$x$$ be the number.Write the equation and solve for $$x$$. $$150\%$$ of a number is $$75$$, then:$$1.5 \ x=75 ⇒$$$$x=75 \ ÷ \ 1.5=50$$$$90\%$$ of $$50$$ is:$$0.9 \ ×\ 50 = 45$$ 46- Choice A is correct The correct answer is $$121$$ cm$$^2$$The perimeter of the trapezoid is $$24$$.Therefore, the missing side (height) is:$$= 49 \ – \ 10 \ – \ 16 \ – \ 12 = 11$$Area of a trapezoid:A $$= \frac{1}{2} \ h \ (b1 \ + \ b2) =$$$$\frac{1}{2} \ (11) \ (10 \ + \ 12) = 121$$ cm $$^2$$ 47- Choice E is correct The correct answer is $$26\%$$the population is increased by $$10\%$$ and $$15\%$$.$$10\%$$ increase changes the population to $$110\%$$ of original population. For the second increase, multiply the result by $$115\%$$.$$(1.10) \ × \ (1.15) = 1.26 = 126\%$$$$26$$ percent of the population is increased after two years. 48- Choice C is correct The correct answer is $$50$$Plug in $$104$$ for F and then solve for C.C $$= \frac{4}{8}$$ (F $$– \ 30) ⇒$$ C $$= \frac{4}{8} \ (110 \ –\ 30) ⇒$$C $$= \frac{5}{8} \ (80) = 50$$ 49- Choice A is correct The correct answer is $$384$$ cm$$^3$$If the length of the box is $$24$$, then the width of the box is one third of it, $$8$$, and the height of the box is $$2$$ (one fourth of the width).The volume of the box is:Volume of a box $$=$$ (length) $$×$$ (wdth) $$×$$ (height) $$= (24) \ × \ (8) \ × \ (2) = 384$$ cm$$^3$$ 50- Choice B is correct The correct answer is $$15$$$$2 \ x \ + \ 10=40→$$$$2\ x=40 \ - \ 10=30→$$$$x=\frac{30}{2}=15$$

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