 ## Full Length SSAT Middle Level Mathematics Practice Test

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SSAT Middle Level Mathematics Practice Test 3

Section 1    25 questions
Total time for this test: 30 Minutes
You may NOT use a calculator for this test.

1- Mary has $$N$$ books. Lucy has $$7$$ more books than Mary. If Lucy gives  $$3$$ books, how many books will Lucy have, in terms of $$N$$?
(A) $$N \ + \ 1$$
(B) $$N \ + \ 3$$
(C) $$N \ -\ 3$$
(D) $$N \ +\ 4$$
(E) $$N$$
2- If $$20$$ percent of a number is $$45$$, then $$40$$ percent of the same number is …
(A) $$125$$
(B) $$90$$
(C) $$50$$
(D) $$80$$
(E) $$75$$
3- If $$\frac{5 \ x}{2} = 40$$, then $$\frac{3 \ x}{4} =$$?
(A) $$5$$
(B) $$22$$
(C) $$12$$
(D) $$45$$
(E) $$10$$
4- Which of the following is NOT equal to $$0.2 \times 2$$?
(A) $$\frac{5}{15} \times 3$$
(B) $$\frac{14}{7} \times \frac{5}{10}$$
(C) $$0.2 \ \times 2$$
(D) $$0.1 \ \times 4$$
(E) $$1 \ \times 0.4$$
5- Which of the following is closest to $$\frac{1}{5}$$ of $$30$$?
(A) $$0.3 \ \times 6$$
(B) $$0.3 \ \times 5$$
(C) $$0.2 \ \times 30$$
(D) $$0.2 \ \times 35$$
(E) $$0.2 \ \times 39.5$$
6- An angle is equal to one fifth of its supplement. What is the measure of that angle?
(A) $$25$$
(B) $$130$$
(C) $$45$$
(D) $$20$$
(E) $$30$$
7- What is the value of $$x$$ in the following figure? (A) $$160$$
(B) $$130$$
(C) $$60$$
(D) $$85$$
(E) $$65$$
8- A $$\ 30$$ shirt now selling for $$\ 18$$ is discounted by what percent?
(A) $$25\%$$
(B) $$60\%$$
(C) $$70\%$$
(D) $$40\%$$
(E) $$30\%$$
9- The perimeter of the trapezoid below is $$60$$. What is its area? (A) $$215$$ cm$$^2$$
(B) $$264$$ cm$$^2$$
(C) $$135$$ cm$$^2$$
(D) $$180$$ cm$$^2$$
(E) $$254$$ cm$$^2$$
10- What is the area of a square whose diagonal is $$8$$?
(A) $$24$$
(B) $$32$$
(C) $$12$$
(D) $$50$$
(E) $$64$$
11- Solve for $$x: \ 3 \ (x \ + \ 2) = 2 \ (x \ − \ 6) \ + \ 24$$
(A) $$7$$
(B) $$7.5$$
(C) $$12$$
(D) $$2$$
(E) $$5$$
12- The score of Ashly was half as that of Jennifer and the score of Mary was twice that of Jennifer. If the score of Mary was $$40$$, what is the score of Ashly?
(A) $$5$$
(B) $$14$$
(C) $$35$$
(D) $$42$$
(E) $$10$$
13- If four times a number added to $$4$$ equals to $$24$$, what is the number?
(A) $$5$$
(B) $$10$$
(C) $$8$$
(D) $$18$$
(E) $$9$$
14- Five years ago, Emily was three times as old as John was. If John is $$12$$ years old now, how old is Emily?
(A) $$15$$
(B) $$26$$
(C) $$18$$
(D) $$22$$
(E) $$28$$
15- one third of $$12$$ is equal to $$\frac{2}{7}$$ of what number?
(A) $$8$$
(B) $$14$$
(C) $$10$$
(D) $$6$$
(E) $$7$$
16- Two-kilograms apple and three-kilograms orange cost $$\ 36.4$$. If one-kilogram apple costs $$\ 3.2$$ how much does one-kilogram orange cost?
(A) $$\ 12$$
(B) $$\ 3.5$$
(C) $$\ 10$$
(D) $$\ 4.5$$
(E) $$\ 8$$
17- When a number is subtracted from $$18$$ and the difference is divided by that number, the result is $$6$$. What is the value of the number?
(A) $$5$$
(B) $$3$$
(C) $$12$$
(D) $$8$$
(E) $$4$$
18- The average weight of $$12$$ girls in a class is $$54$$ kg and the average weight of $$24$$ boys in the same class is $$64$$ kg. What is the average weight of all the $$36$$ students in that class?
(A) $$60.66$$
(B) $$61.25$$
(C) $$65.5$$
(D) $$63.46$$
(E) $$67.35$$
19- In a group of $$3$$ books, the average number of pages is $$20$$. Ava adds a book with $$24$$ pages to the group. What is the new average number of pages per book?
(A) $$24$$
(B) $$32$$
(C) $$21$$
(D) $$28$$
(E) $$25$$
20- What is the value of $$x$$ in this equation?
$$3(x \ + \ 2) = 24$$
(A) $$10$$
(B) $$5$$
(C) $$12$$
(D) $$24$$
(E) $$6$$
21- Which of the following is the correct statement?
(A) $$\frac{5}{2} \ > \ 3$$
(B) $$\frac{5}{2} =10\%$$
(C) $$5 < \frac{3}{2}$$
(D) $$\frac{2}{3} \ > \ 0.6$$
(E) $$2.5\% = 0.25$$
22- If a gas tank can hold $$21$$ gallons, how many gallons does it contain when it is $$\frac{2}{3}$$ full?
(A) $$14$$
(B) $$27$$
(C) $$64.5$$
(D) $$55$$
(E) $$6$$
23- $$4$$ liters of water are poured into an aquarium that's $$10$$ cm long, $$4$$ cm wide, and $$60$$ cm high. How many cm will the water level in the aquarium rise due to this added water? ($$1$$ liter of water $$= 1,000$$ cm$$^3$$)
(A) $$75$$ cm
(B) $$100$$ cm
(C) $$126$$ cm
(D) $$45$$ cm
(E) $$96$$ cm
24- A football team won exactly $$80\%$$ 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) $$49$$
(B) $$35$$
(C) $$32$$
(D) $$12$$
(E) $$8$$
25- A red box is $$20\%$$ greater than the blue box. If $$30$$ books exist in the red box, how many books are in the blue box?
(A) $$28$$
(B) $$25$$
(C) $$32$$
(D) $$40$$
(E) $$14$$

SSAT Middle Level Mathematics Practice Test 3

Section 2
25 questions
Total time for this test: 30 Minutes
You may NOT use a calculator for this test.

26- Which of the following is less than $$\frac{1}{3}$$?
(A) $$\frac{1}{6}$$
(B) $$\frac{2}{3}$$
(C) $$0.5$$
(D) $$0.75$$
(E) $$0.65$$
27- Four people can paint $$5$$ houses in $$15$$ days. How many people are needed to paint $$10$$ houses in $$6$$ days?
(A) $$15$$
(B) $$5$$
(C) $$18$$
(D) $$9$$
(E) $$10$$

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28- A taxi driver earns $$\ 10$$ per $$1$$-hour work. If he works $$8$$ hours a day and in $$1$$ hour he uses $$2$$-liters petrol with price $$\ 2$$ for $$1$$-liter. How much money does he earn in one day?
(A) $$\ 50$$
(B) $$\ 65$$
(C) $$\ 32$$
(D) $$\ 48$$
(E) $$\ 95$$
29- If $$N \times (6 \ - \ 3) = 9$$ then $$N =$$?
(A) $$5$$
(B) $$10$$
(C) $$6$$
(D) $$9$$
(E) $$3$$
30- Ann and Alex work in a same company. Last month, both of them received a raise of $$15$$ percent. If Ann earns $$\ 20.00$$ per hour now and Alex earns $$\ 25.40$$, Ann earned how much more per hour than Alex before their raises?
(A) $$\ 4.69$$
(B) $$\ 2.36$$
(C) $$\ 5.36$$
(D) $$\ 5.00$$
(E) $$\ 3.80$$
31- In the figure below, what is the value of $$x$$? (A) $$120^°$$
(B) $$80^°$$
(C) $$50^°$$
(D) $$30^°$$
(E) $$110^°$$
32- The width of a rectangle is $$2 \ x$$. the length is $$3 \ x$$, and the perimeter of the rectangle is $$90$$. What is the value of $$x$$?
(A) $$6$$
(B) $$9$$
(C) $$12$$
(D) $$5$$
(E) $$4$$
33- If $$0.35$$ equals $$35$$ M, what is the value of M?
(A) $$0.01$$
(B) $$1$$
(C) $$0.5$$
(D) $$1.11$$
(E) $$0.11$$
34- The length of a rectangle is $$4$$ times of its width. If the length is $$16$$, what is the perimeter of the rectangle?
(A) $$10$$
(B) $$8$$
(C) $$40$$
(D) $$26$$
(E) $$32$$
35- If $$x∎y= 4 \ x\ + \ y\ - \ 3$$, what is the value of $$3∎15$$?
(A) $$24$$
(B) $$32$$
(C) $$18$$
(D) $$20$$
(E) $$29$$
36- If $$z = 2 \ x \ + \ 5$$, what does $$3 \ z \ + \ 2$$ equal?
(A) $$6 \ x \ - \ 17$$
(B) $$6 \ x \ - \ 5$$
(C) $$6 \ x \ + \ 12$$
(D) $$6 \ x \ - \ 8$$
(E) $$6 \ x \ + \ 17$$
37- The letters represent two decimals listed above. One of the decimals is equivalent to $$\frac{1}{8}$$ and the other is equivalent to  $$\frac{1}{20}$$. What is the product of C and D?
(A) $$32$$
(B) $$25$$
(C) $$18$$
(D) $$10$$
(E) $$15$$
38- If $$36$$ can be divided by both $$4$$ and $$x$$ without leaving a remainder, then $$36$$ can also be divided by which of the following?
(A) $$x \ + \ 3$$
(B) $$2 \ x \ + \ 10$$
(C) $$x \ - \ 16$$
(D) $$x \times \ 4$$
(E) $$x \ + 1$$
39- How many tiles of $$6$$ cm$$^2$$ is needed to cover a floor of dimension $$4$$ cm by $$18$$ cm?
(A) $$12$$
(B) $$8$$
(C) $$16$$
(D) $$15$$
(E) $$20$$
40- $$\frac{x}{x \ -\ 4} = \frac{2}{3}, \ x \ - \ 6 =$$?
(A) $$- \ 10$$
(B) $$- \ 12$$
(C) $$8$$
(D) $$10$$
(E) $$- \ 14$$
41- In a certain bookshelf of a library, there are $$20$$ biology books, $$85$$ history books, and $$75$$ language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?
(A) $$\frac{1}{9}$$
(B) $$\frac{1}{7}$$
(C) $$\frac{2}{5}$$
(D) $$\frac{2}{3}$$
(E) $$\frac{1}{4}$$
42- The circle graph below shows all Mr. Smith’s expenses for last month. If he spent $$\ 500$$ on his car, how much did he spend for his rent? (A) $$\ 650$$
(B) $$\ 520$$
(C) $$\ 360$$
(D) $$\ 675$$
(E) $$\ 370$$
43- A company pays its employee $$5,000$$ plus $$2\%$$ of all sales profit. If $$x$$ is the number of all sales profit, which of the following represents the employer’s revenue?
(A) $$0.98\ x + \ 5000$$
(B) $$0.2 \ x + \ 5000$$
(C) $$0.2 \ x - \ 5000$$
(D) $$0.22 \ x + \ 5000$$
(E) $$0.02 \ x + \ 5000$$
44- If $$4,000 \ +$$ A $$- \ 250 = 5,400$$, then A $$=$$?
(A) $$1650$$
(B) $$1200$$
(C) $$600$$
(D) $$2300$$
(E) $$400$$
45- If $$4 \times$$ M $$+ \ 6 = 7$$ , M equals to ….
(A) $$\frac{1}{4}$$
(B) $$\frac{1}{7}$$
(C) $$2$$
(D) $$5$$
(E) $$8$$
46- In the following figure, point Q lies on line n, what is the value of $$y$$ if $$x = 45$$? (A) $$10$$
(B) $$5$$
(C) $$8$$
(D) $$15$$
(E) $$22$$
47- At a Zoo, the ratio of lions to tigers is $$6$$ to $$3$$. Which of the following could NOT be the total number of lions and tigers in the zoo?
(A) $$81$$
(B) $$90$$
(C) $$98$$
(D) $$108$$
(E) $$180$$
48- Which of the following is equal to $$\frac{52.4}{100}$$?
(A) $$52.4$$
(B) $$5.24$$
(C) $$524.0$$
(D) $$0.524$$
(E) $$0.0524$$
49- A container holds $$4.5$$ gallons of water when it is $$\frac{3}{21}$$ full. How many gallons of water does the container hold when it’s full?
(A) $$33$$
(B) $$25$$
(C) $$18$$
(D) $$35$$
(E) $$42$$
50- If $$x$$ is greater than $$15$$, then $$\frac{1}{3}$$ of $$x$$ must be…
(A) $$8$$
(B) $$5$$
(C) $$10$$
(D) $$4$$
(E) $$7$$
 1- Choice D is correct The correct answer is $$N \ + \ 4$$Mary has $$N$$ books.Lucy has $$7$$ more books than Mary.Then, Lucy has $$N \ + \ 7$$ books.If Lucy gives Mary $$3$$ books, Lucy will have:$$N \ + \ 7 \ - \ 3 = N \ + \ 4$$ 2- Choice B is correct The correct answer is $$90$$If $$20$$ percent of a number is $$45$$, then the number is:$$20\%$$ of $$x = 45 →$$$$0.20 = 40 →$$$$x= \frac{45}{0.20} = 225$$$$45$$ percent of $$225$$ is:$$40\%$$ of $$225 = \frac{40}{100} \times 225 = 90$$ 3- Choice C is correct The correct answer is $$12$$If $$\frac{5 \ x}{2} = 40$$, then:$$5 \ x = 80 → x = 16$$$$\frac{3 \ x}{4} =$$$$\frac{3 \times 16}{4} =$$$$\frac{48}{4} = 12$$ 4- Choice A is correct The correct answer is $$\frac{5}{15} \times 3$$$$0.2 \times 2 = 0.4$$, all options provided are equal to $$0.4$$ except option A.$$\frac{5}{15} \times 3 = 1$$ 5- Choice C is correct The correct answer is $$0.2 \ × \ 30 = 6$$$$\frac{1}{5}$$ of $$30$$ is $$6$$.Let’s review the options provided:A. $$0.3 \ ×\ 6 = 1.8$$B. $$0.3 \ ×\ 5 = 1.5$$C. $$0.2 \ × \ 30 = 6$$D. $$0.2 \ × \ 35 = 7$$E. $$0.2 \ × \ 39.5 = 7.9$$ 6- Choice E is correct The correct answer is $$30$$The sum of supplement angles is $$180$$.Let $$x$$ be that angle.Therefore, $$x \ + \ 5\ x = 180$$$$6\ x = 180$$, divide both sides by $$6: \ x = 30$$ 7- Choice A is correct The correct answer is $$160$$ degrees$$x = 30 \ +\ 130 = 160$$ degrees 8- Choice D is correct The correct answer is $$40\%$$Use the formula for Percent of Change$$\frac{New \ Value-Old \ Value}{Old \ Value} \times 100\%$$$$\frac{18 \ -\ 30}{30} \times 100\% = \ – \ 40\%$$ (negative sign here means that the new price is less than old price) 9- Choice B is correct The correct answer is $$264$$ cm$$^2$$The perimeter of the trapezoid is $$60$$.Therefore, the missing side (height) is: $$= 60 \ – \ 16 \ – \ 12 \ – \ 10 = 22$$Area of the trapezoid:A $$= \frac{1}{2} \ h \ (b1 \ + \ b2) = \frac{1}{2} \ (22) \ (12 \ + \ 10) =264$$ 10- Choice B is correct The correct answer is $$32$$The diagonal of the square is $$8$$. Let $$x$$ be the side. Use Pythagorean Theorem:$$a^2 \ +\ b^2 = c^2$$$$x^2 \ + \ x^2 = 8^2 ⇒$$$$2 \ x^2 = 8^2 ⇒$$$$2 \ x^2 = 64 ⇒$$$$x^2 = 32 ⇒$$$$x= \sqrt{32}$$The area of the square is:$$\sqrt{32} \times \sqrt{32} = 32$$ 11- Choice A is correct The correct answer is $$7$$Simplify and solve for $$x$$ in the equation.$$3 \ (x \ + \ 2) = 2 \ (x \ − \ 6) \ + \ 24 →$$$$3 \ x \ + \ 6 = 2 \ x \ − \ 12 \ + \ 24$$$$3 \ x \ + \ 3 = 2 \ x \ – \ 12$$Subtract $$2 \ x$$ from both sides:$$x \ + \ 3 = – \ 4$$, Add $$4$$ to both sides:$$x = 7$$ 12- Choice E is correct The correct answer is $$10$$If the score of Ashly was $$40$$, therefore the score of Jennifer is $$20$$.Since, the score of Ashly was half as that of Jennifer, therefore, the score of Ashly is $$10$$. 13- Choice A is correct The correct answer is $$5$$Let $$x$$ be the number.Then: $$4 \ x \ +\ 4=24$$Solve for $$x: \ 4 \ x \ + \ 4 =24→$$$$4 \ x=24 \ - \ 4=20→$$$$x=20 \div 4=5$$ 14- Choice E is correct The correct answer is $$28$$Five years ago, Emily was three times as old as John.John is $$12$$ years now. Therefore, $$5$$ years ago John was $$7$$ years.Five years ago, Emily was:A $$= 3 \times 7=21$$Now Emily is $$28$$ years old:$$21 \ +\ 7 = 28$$ 15- Choice B is correct The correct answer is $$14$$Let $$x$$ be the number.Write the equation and solve for $$x$$. $$\frac{1}{3} \times 12= \frac{2}{7}$$.$$x ⇒ \frac{1 \times 12}{3} = \frac{2 \ x}{7}$$ , use cross multiplication to solve for $$x$$.$$12 \times 7 = 2 \ x \times 3 ⇒$$$$84 = 6 \ x ⇒ x = 14$$ 16- Choice C is correct The correct answer is $$\ 10$$Let $$x$$ be one-kilogram orange cost, then:$$3 \ x \ + \ (2 \ × \ 3.2) = 36.4 →$$$$3 \ x \ + \ 6.4 = 36.4 →$$$$3 = 36.4 \ - \ 6.4 →$$$$3 \ x = 30 →$$$$x=\frac{30}{3} = \ 10$$ 17- Choice B is correct The correct answer is $$3$$Let $$x$$ be the number.Write the equation and solve for $$x$$.$$(18 \ – \ x) \ ÷ \ x = 6$$Multiply both sides by $$x$$. $$(18 \ – \ x) = 6 \ x$$, then add x both sides.$$18 = 6 \ x$$, now divide both sides by $$6$$.$$x = 3$$ 18- Choice A is correct The correct answer is $$60.66$$average $$= \frac{sum \ of \ terms}{number \ of \ terms}$$The sum of the weight of all girls is:$$12 \ ×\ 54 = 648$$ kgThe sum of the weight of all boys is:$$24 \ × \ 64 = 1,536$$ kgThe sum of the weight of all students is:$$648\ + \ 1,536 = 2,184$$ kgAverage $$= \frac{2,184}{36} = 60.66$$ 19- Choice C is correct The correct answer is $$21$$In a group of $$3$$ books, the average number of pages is $$20$$.Therefore, the sum of pages in all $$3$$ books is $$(3 \ × \ 20 = 54)$$.Ava adds a book with $$24$$ pages to the group.Then, the sum of pages in all $$4$$ books is:$$(3 \ × \ 20 \ +\ 24 =84 )$$. The new average number of pages per book is: $$\frac{84}{4}=21$$ 20- Choice E is correct The correct answer is $$6$$Solve for $$x$$ in the equation. $$3(x \ +\ 2) = 24→$$$$3 \ x \ + \ 6=24→$$$$3 \ x=24 \ - \ 6=18→$$$$x = 18 \div 3=6$$ 21- Choice D is correct The correct answer is $$\frac{2}{3} \ > \ 0.6$$Only option D is correct.$$\frac{2}{3} =0.66→$$$$0.6 \ < \ \frac{2}{3}$$ 22- Choice A is correct The correct answer is $$14$$$$\frac{2}{3} \ × \ 21= \frac{42}{3} =14$$ 23- Choice B is correct The correct answer is $$100$$ cmOne lite $$=1000$$ cm$$^{3} → 4$$ liters $$= 4,000$$ cm$$^{3}$$$$4,000=10 \times 4 \times$$ h $$→$$ h $$=\frac{4000}{4}=100$$ cm 24- Choice B is correct The correct answer is $$35$$Choices A, C, D, and E are incorrect because $$80\%$$ of each of the numbers is a non-whole number.A. $$49$$     $$80\%$$ of $$49 = 0.80 \ × \ 49=39.2$$ B. $$35$$     $$80\%$$ of $$35=0.80 \ × \ 35=28$$C. $$32$$     $$80\%$$ of $$32=0.80 \ × \ 32=25.6$$D. $$12$$     $$80\%$$ of $$12=0.80 \ × \ 12=9.6$$E. $$8$$       $$80\%$$ of $$8=0.80 \ × \ 8=6.4$$ 25- Choice B is correct The correct answer is $$25$$The red box is $$30\%$$ greater than the blue box.Let $$x$$ be the capacity of the blue box. Then: $$x \ + \ 30\%$$ of $$x=50→$$$$1.3 \ x=50→$$$$x=\frac{50}{1.3}=25$$ 25- Choice B is correct The correct answer is $$25$$The red box is $$30\%$$ greater than the blue box.Let $$x$$ be the capacity of the blue box. Then: $$x \ + \ 30\%$$ of $$x=50→$$$$1.3 \ x=50→$$$$x=\frac{50}{1.3}=25$$ 26- Choice A is correct The correct answer is $$\frac{1}{6}$$From the options provided, only C $$(\frac{1}{6})$$ is less than $$\frac{1}{3}$$. 27- Choice C is correct The correct answer is $$18$$Four people can paint $$5$$ houses in $$15$$ days.It means that for painting $$10$$ houses in $$6$$ days we need $$9$$ people.To paint $$10$$ houses in $$6$$ days, $$18$$ people are needed. 28- Choice D is correct The correct answer is $$\ 48$$$$\ 10 \ × \ 8=\ 80$$Petrol use: $$8 \ × \ 2=16$$ litersPetrol cost: $$16 \ × \ \ 2=\ 32$$Money earned: $$\ 80 \ -\ \ 32=\ 48$$ 29- Choice E is correct The correct answer is $$3$$$$N \ × \ (6 \ -\ 3)=9→$$$$N \ ×\ 3=9→$$$$N=3$$ 30- Choice A is correct The correct answer is $$\ 4.69$$Ann earns $$20.00$$ per hour now.$$20.00$$ per hour is $$15$$ percent more than her previous rate.Let $$x$$ be her rate before her raise. Then:$$x \ +\ 0.15 \ x=20→$$$$1.15 \ x=20→$$$$x=\frac{20}{1.15}=17.39$$Alex earns $$25.40$$ per hour now.$$25.40$$ per hour is $$15$$ percent more than his previous rate.Let $$x$$ be Alex’s rate before his raise. Then:$$x \ + \ 0.15 \ x=25.40→$$$$1.15\ x=25.40→$$$$x=\frac{25.40}{1.15}=22.08$$Ann earned $$\ 4.69$$ more per hour than John before their raises. 31- Choice C is correct The correct answer is $$50^°$$$$\alpha =180^° \ -\ 105^°=75^°$$$$\beta =180^° \ - \ 125^°=55^°$$The sum of all angles in a triangle is $$180$$ degrees. Then:$$x \ + \ \alpha \ + \ \beta=$$$$180^°→x=180^° \ - \ 75^° \ - \ 55^°=50^°$$ 32- Choice B is correct The correct answer is $$9$$The width of a rectangle is $$2 \ x$$ and its length is $$3 \ x$$.Therefore, the perimeter of the rectangle is $$10 \ x$$.Perimeter of a rectangle $$=2$$(width $$+$$ length) $$=2 \ (2 \ x \ + \ 3\ x)=2 \ (5\ x)=10\ x$$The perimeter of the rectangle is $$90$$. Then:$$10 \ x=90→x=9$$ 33- Choice A is correct The correct answer is $$0.01$$$$0.35$$ equals $$35$$M.Then: $$35$$ M $$=0.35→$$M $$= \frac{0.35}{35}=0.01$$ 34- Choice C is correct The correct answer is $$40$$The length of the rectangle is $$16$$.Then, its width is $$4$$. $$16 \ ÷ \ 4 = 4$$Perimeter of a rectangle $$= 2 \ ×$$ width $$+ \ 2\ ×$$ length $$=2 \ × \ 4 \ + \ 2 \ × \ 16=$$$$8 \ + \ 32=40$$ 35- Choice A is correct The correct answer is $$24$$If $$x∎y=4 \ x \ + \ y \ - \ 3$$, Then:$$3∎15=4(3) \ + \ 15 \ -\ 3=12 \ + \ 15 \ - \ 3=24$$ 36- Choice E is correct The correct answer is $$6 \ x \ +\ 17$$$$z=2 \ x \ + \ 5$$, then:$$3 \ z=3(2 \ x \ + \ 5)=6 \ x \ + \ 15$$$$3 \ z \ + \ 2=6 \ x \ +\ 15 \ + \ 2= 6 \ x \ +\ 17$$ 37- Choice B is correct The correct answer is $$25$$$$\frac{1}{8} =0.125→$$ C $$=5$$$$\frac{1}{20}=0.05→$$ D $$=5→$$ C $$\times$$ D $$=5 \ ×\ 5=25$$ 38- Choice D is correct The correct answer is $$x \ × \ 4$$$$36=x \ × \ 4→$$$$x=36 \ ÷ \ 4=9$$$$x$$ equals to $$9$$.Let’s review the options provided:A. $$x \ +\ 3→ 9 \ +\ 4=13$$                         $$36$$ is not divisible by $$13$$.B. $$2 \ x \ + \ 10→2 \ ×\ 9 \ + \ 10=28$$         $$36$$ is not divisible by $$28$$.C. $$x \ - \ 16→9 \ -\ 16=7$$                       $$36$$ is not divisible by $$7$$.D. $$x \ × \ 4→9 \ × \ 4=36$$                        $$36$$ is divisible by $$36$$.E. $$x \ + \ 1→9 \ +\ 1=10$$                         $$36$$ is not divisible by $$10$$. 39- Choice A is correct The correct answer is $$12$$The area of the floor is:$$4$$ cm $$\times \ 18$$ cm $$=72$$ cmThe number is tiles needed $$= 72\div 6 = 12$$ 40- Choice E is correct The correct answer is $$- \ 14$$Use cross product to solve for $$x$$.$$\frac{x}{x \ - \ 4}= \frac{2}{3}→$$$$3 \ × \ x=2 \ × \ (x \ - \ 4)→$$$$3 \ x=2 \ x \ - \ 8= - \ 8→$$$$x \ - \ 6= - \ 8\ - \ 6= - \ 14$$ 41- Choice A is correct The correct answer is $$\frac{1}{9}$$Number of biology book:$$20$$, total number of books;$$20 \ +\ 85 \ + \ 75=180$$the ratio of the number of biology books to the total number of books is:$$\frac{20}{180}=\frac{1}{9}$$ 42- Choice D is correct The correct answer is $$\ 675$$Let $$x$$ be all expenses, then:$$\frac{20}{100} \ x=\ 500 →$$$$x=\frac{100 \ × \ \ 500}{20}=\ 2500$$He spent for his rent:$$\frac{27}{100} \ × \ \ 2500=\ 675$$ 43- Choice B is correct The correct answer is $$0.2 \ x \ +\ 5,000$$$$x$$ is the number of all sales profit and $$2\%$$ of it is:$$2\% \ × \ x=0.02 \ x$$Employee’s revenue:$$0.2 \ x \ +\ 5,000$$ 44- Choice A is correct The correct answer is $$1,650$$$$4,000 \ + \ A \ - \ 250=5,400→$$$$4,000 \ +\ A=5,400 \ + \ 250 \ =5,650→$$$$A=5,650 \ - \ 4,000=1,650$$ 45- Choice A is correct The correct answer is $$\frac{1}{4}$$$$4 \ ×\ M\ + \ 6=7→$$$$4 \ × \ M=7 \ -\ 6=1→$$$$M=\frac{1}{4}$$ 46- Choice B is correct The correct answer is $$5$$The angles on a straight line add up to $$180$$ degrees. Then:$$x \ +\ 55 \ + \ y \ + \ 2 \ x \ +\ y=180$$Then: $$3 \ x \ + \ 2 \ y=180 \ -\ 55→$$$$3(45) \ + \ 2 \ y=125→$$$$2 \ y=135 \ -\ 125=10→$$$$y=5$$ 47- Choice C is correct The correct answer is $$98$$The ratio of lions to tigers is $$6$$ to $$3$$ at the zoo.Therefore, total number of lions and tigers must be divisible by $$9$$.$$6 \ + \ 3=9$$From the numbers provided, only $$98$$ is not divisible by $$9$$. 48- Choice D is correct The correct answer is $$0.524$$$$\frac{52.4}{100}=0.524$$ 49- Choice A is correct The correct answer is $$33$$let $$x$$ be the number of gallons of water the container holds when it is full.Then: $$\frac{3}{21} \ x=4.5→$$$$x=\frac{21 \ × \ 4.5}{3}=33$$ 50- Choice B is correct The correct answer is Greater than $$5$$If $$x$$ is greater than $$15$$, then $$\frac{1}{3}$$ of $$x$$ must be greater than:$$\frac{1}{3} \ × \ 15=5$$.

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