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## SSAT Upper Level Math Practice Test 4

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

1- What is the value of the “$$6$$” in number $$745.652$$?
(A) $$6$$ ones
(B) $$6$$ tenth
(C) $$6$$ hundredths
(D) $$6$$ tens
(E) $$6$$ thousands
2- $$0.04 \ × \ 16.00 =$$?
(A) $$0.64$$
(B) $$0.064$$
(C) $$6.4$$
(D) $$60.4$$
(E) $$60.04$$
3- Mary plans to buy a bracelet for every one of her $$12$$ friends for their party. There are four bracelets in each pack. How many packs must she buy?
(A) $$4$$
(B) $$6$$
(C) $$2$$
(D) $$3$$
(E) $$12$$
4- If $$x \ – \ 8 = - \ 12$$, then $$x \ × \ 2 =$$ ?
(A) $$4$$
(B) $$6$$
(C) $$- \ 4$$
(D) $$- \ 10$$
(E) $$10$$
5- If Jack ran $$4.5$$ miles in half an hour, his average speed was?
(A) $$9$$ miles per hour
(B) $$2.5$$ miles per hour
(C) $$5$$ miles per hour
(D) $$1.5$$ miles per hour
(E) $$3.25$$ miles per hour
6- The distance between cities A and B is approximately $$3,600$$ miles. If Alex drives an average of $$54$$ miles per hour, how many hours will it take Alex to drive from city A to city B?
(A) Approximately $$15$$ hours
(B) Approximately $$60$$ hours
(C) Approximately $$27$$ hours
(D) Approximately $$66$$ hours
(E) Approximately $$42$$ hours
7- In a classroom of $$50$$ students, $$36$$ are female. What percentage of the class is male?
(A) $$25\%$$
(B) $$15\%$$
(C) $$30\%$$
(D) $$28\%$$
(E) $$40\%$$
8- A pizza maker has $$x$$ pounds of flour to make pizzas. After he has used $$40$$ pounds of flour, how much flour is left? The expression that correctly represents the quantity of flour left is:
(A) $$\frac{40}{x}$$
(B) $$\frac{x}{40}$$
(C) $$40 \ + \ x$$
(D) $$40 \ - \ x$$
(E) $$x\ - \ 40$$
9- Given the diagram, what is the perimeter of the quadrilateral?
(A) $$63$$
(B) $$65$$
(C) $$33.25$$
(D) $$630$$
(E) $$52.5$$
10- An employee’s rating on performance appraisals for the last three quarters were $$90, \ 82$$ and $$80$$. If the required yearly average to qualify for the promotion is $$88$$, what rating should the fourth quarter be?
(A) $$100$$
(B) $$95$$
(C) $$90$$
(D) $$94$$
(E) $$91$$
11- A steak dinner at a restaurant costs $$\ 9.36$$. If a man buys a steak dinner for himself and $$2$$ friends, what will the total cost be?
(A) $$\ 35$$
(B) $$\ 28.08$$
(C) $$\ 19$$
(D) $$\ 15.68$$
(E) $$\ 28$$
12- What is the slope of the line that is perpendicular to the line with equation $$6 \ x \ + \ y = 10$$?
(A) $$\frac{1}{6}$$
(B) $$\frac{- \ 1}{6}$$
(C) $$\frac{- \ 1}{10}$$
(D) $$6$$
(E) $$- \ 6$$
13- Two third of $$15$$ is equal to $$\frac{1}{2}$$ of what number?
(A) $$15$$
(B) $$30$$
(C) $$45$$
(D) $$50$$
(E) $$20$$
14- Last week $$32,000$$ fans attended a football match. This week three times as many bought tickets, but one fourth of them cancelled their tickets. How many are attending this week?
(A) $$50,000$$
(B) $$72,000$$
(C) $$61,000$$
(D) $$23,000$$
(E) $$70,000$$
15- A cruise line ship left Port A and traveled $$80$$ miles due west and then $$110$$ miles due north. At this point, what is the shortest distance from the cruise to port A?
(A) $$75$$ miles
(B) $$136$$ miles
(C) $$180$$ miles
(D) $$50$$ miles
(E) $$125$$ miles
16- The result of a research shows the number of men and women in four cities of a country.
What's the maximum ratio of woman to man in the four cities?
(A) $$0.95$$
(B) $$0.93$$
(C) $$0.97$$
(D) $$0.90$$
(E) $$0.91$$
17- The result of a research shows the number of men and women in four cities of a country.
What's the ratio of percentage of men in city A to percentage of women in city C?
(A) $$1.5$$
(B) $$1$$
(C) $$1.05$$
(D) $$0$$
(E) $$0.95$$
18- In $$1999$$, the average worker's income increased $$\ 3,000$$ per year starting from $$\ 21,000$$ annual salary.  Which equation represents income greater than average? (I $$=$$ income, $$x =$$ number of years after $$1999$$)
(A) $$I \ > \ 3000 \ x \ + \ 21000$$
(B) $$I \ < \ 3000 \ x \ + \ 21000$$
(C) $$I \ < \ 3000 \ x \ - \ 21000$$
(D) $$I \ < \ 21000 \ x \ - \ 3000$$
(E) $$I \ > \ 21000 \ x \ - \ 3000$$
19- Solve the following equation for $$y$$?
$$\frac{x}{1 \ + \ 4}=\frac{y}{9 \ - \ 5}$$
(A) $$\frac{4}{5} \ x$$
(B) $$\frac{5}{4} \ x$$
(C) $$\frac{4 \ x}{5}$$
(D) $$4 \ x \ + \ 5$$
(E) $$4 \ x$$
20- The result of a research shows the number of men and women in four cities of a country.
How many women should be added to city D until the ratio of women to men will be $$1.2$$?
(A) $$132$$
(B) $$125$$
(C) $$245$$
(D) $$92$$
(E) $$68$$
21- Jason traveled $$240$$ km in $$6$$ hours and Emily traveled $$120$$ km in $$2$$ hours. What is the ratio of the average speed of Jason to average speed of Emily?
(A) $$4 \ : \ 5$$
(B) $$2\ : \ 3$$
(C) $$8 \ : \ 12$$
(D) $$8 \ : \ 9$$
(E) $$12\ : \ 8$$
22- In the following figure, MN is $$50$$ cm. How long is ON?
(A) $$5$$ cm
(B) $$25$$ cm
(C) $$10$$ cm
(D) $$30$$ cm
(E) $$8$$ cm
23- Rectangle A has a length of $$9$$ cm and a width of $$3$$ cm, and rectangle B has a length of $$9$$ cm and a width of $$4$$ cm, what is the percent of ratio of the perimeter of rectangle B to rectangle A?
(A) $$25\%$$
(B) $$35\%$$
(C) $$125\%$$
(D) $$108.3\%$$
(E) $$85\%$$
24- $$\sqrt[4]{x^{13}}=$$?
(A) $$x^3 \ \sqrt[4]{x}$$
(B) $$x^4 \ \sqrt[2]{x}$$
(C) $$x^5$$
(D) $$x^5 \ + 2$$
(E) $$x^6$$
25- What is the difference of smallest $$3$$–digit number and biggest $$3$$–digit number?
(A) $$999$$
(B) $$888$$
(C) $$648$$
(D) $$997$$
(E) $$899$$

SSAT Upper Level Math

Test 4 Section 2   25 questions
Total time for this section: 30 Minutes
You may NOT use a calculator for this test.

26- Which of the following is a whole number ?
(A) $$\frac{1}{2} \ × \ \frac{1}{3}$$
(B) $$\frac{1}{2} \ + \ \frac{1}{3}$$
(C) $$\frac{12}{9}$$
(D) $$3.5 \ + \frac{2}{3}$$
(E) $$3.5 \ + \ \frac{7}{2}$$
27- Cathrine purchased a sofa for $$\ 530.40$$. The sofa is regularly priced at $$\ 624$$. What was the percent discount Cathrine received on the sofa?
(A) $$24\%$$
(B) $$15\%$$
(C) $$50\%$$
(D) $$35\%$$
(E) $$26\%$$
28- $$4 \ \frac{2}{3} \ × \ 3 \ \frac{1}{6}=$$?
(A) $$15 \frac{5}{9}$$
(B) $$\frac{5}{9}$$
(C) $$14 \frac{7}{9}$$
(D) $$\frac{7}{9}$$
(E) $$9$$
29- $$0.30 \ × \ 15.4=$$ ?
(A) $$4.620$$
(B) $$4.965$$
(C) $$4.650$$
(D) $$5.650$$
(E) $$5.620$$
30- If $$\frac{2}{3}$$  of a number equal to $$14$$ then $$\frac{2}{5}$$ of the same number is:
(A) $$10$$
(B) $$25$$
(C) $$50$$
(D) $$8$$
(E) $$16$$

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31- A bank is offering $$2.5\%$$ simple interest on a savings account. If you deposit $$\ 15,000$$, how much interest will you earn in two years?
(A) $$\ 750$$
(B) $$\ 7500$$
(C) $$\ 5700$$
(D) $$\ 460$$
(E) $$\ 5600$$
32- We can put $$36$$ colored pencils in each box and we have $$144$$ colored pencils. How many boxes do we need?
(A) $$10$$
(B) $$16$$
(C) $$19$$
(D) $$4$$
(E) $$8$$
33- How long does a $$500$$–miles trip take moving at $$50$$ miles per hour (mph)?
(A) $$10$$ hours
(B) $$9$$ hours and $$20$$ minutes
(C) $$8$$ hours and $$28$$ minutes
(D) $$10$$ hours and $$28$$ minutes
(E) $$9$$ hours and $$45$$ minutes
34- In the figure below, line A is parallel to line B. What is the value of angle $$x$$?
(A) $$35$$ degree
(B) $$135$$ degree
(C) $$45$$ degree
(D) $$145$$ degree
(E) $$105$$ degree
35- A swimming pool holds $$18,00$$ cubic feet of water. The swimming pool is $$20$$ feet long and $$12$$ feet wide. How deep is the swimming pool?
(A) $$6$$ feet
(B) $$8$$ feet
(C) $$2$$ feet
(D) $$5$$ feet
(E) $$7.5$$ feet
36- A construction company is building a wall. The company can build $$25$$ cm of the wall per minute. After $$30$$ minutes construction, $$\frac{2}{5}$$ of the wall is completed. How high is the wall?
(A) $$4$$ m
(B) $$2.28$$ m
(C) $$10$$ m
(D) $$5$$ m
(E) $$4.5$$ m
37- When a number is subtracted from $$12$$ and the difference is divided by that number, the result is $$2$$. What is the value of the number?
(A) $$2$$
(B) $$3$$
(C) $$4$$
(D) $$6$$
(E) $$12$$
38- The ratio of boys to girls in a school is $$3:5$$. If there are $$400$$ students in a school, how many boys are in the school?
(A) $$120$$
(B) $$200$$
(C) $$300$$
(D) $$150$$
(E) $$350$$
39- $$5$$ cubed is the same as:
(A) $$5\times \ 5$$
(B) $$5\times \ 5\times \ 5$$
(C) $$25$$
(D) $$125$$
(E) $$525$$
40- If car A drives $$400$$ miles in $$8$$ hours and car B drives the same distance in $$5$$ hours, how many miles per hour does car B drive faster than car A?
(A) $$30$$
(B) $$5$$
(C) $$10$$
(D) $$15$$
(E) $$8$$
41- If $$y = 3 \ a \ b \ + \ 2 \ b^{2}$$, what is $$y$$ when $$a = 2$$ and $$b = 4$$?
(A) $$35$$
(B) $$68$$
(C) $$25$$
(D) $$56$$
(E) $$32$$
42- Which of the following shows the numbers in increasing order?
(A) $$\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{5}{6}$$
(B) $$\frac{5}{7}, \frac{3}{4}, \frac{8}{11}, \frac{2}{3}$$
(C) $$\frac{8}{11}, \frac{3}{4}, \frac{5}{7}, \frac{2}{3}$$
(D) $$\frac{5}{7}, \frac{8}{11}, \frac{3}{4}, \frac{2}{3}$$
(E) None of the above
43- $$\frac{(2 \ + \ 5)^{2}}{7} \ + \ 4=$$ ?
(A) $$53$$
(B) $$25$$
(C) $$35$$
(D) $$22$$
(E) $$11$$
44- A company pays its employee $$\ 6000$$ plus $$2\%$$ of all sales profit. If $$x$$ is the number of all sales profit, which of the following represents the employee’s revenue?
(A) $$0.92 \ x \ + \ 6000$$
(B) $$0.02 \ x \ + \ 6000$$
(C) $$0.20 \ x$$
(D) $$0.009 \ x$$
(E) $$0.98 \ x \ - \ 6000$$
45- The area of a circle is $$36 \ π$$. What is the circumference of the circle?
(A) $$10 \ π$$
(B) $$24\ π$$
(C) $$36\ π$$
(D) $$5\ π$$
(E) $$12\ π$$
46- What is the greatest common factor of $$36$$ and $$54$$?
(A) $$9$$
(B) $$25$$
(C) $$18$$
(D) $$12$$
(E) $$35$$
47- Find $$\frac{1}{4}$$ of $$\frac{2}{3}$$ of $$150$$?
(A) $$35$$
(B) $$15$$
(C) $$13$$
(D) $$25$$
(E) $$18$$
48- If $$50\%$$ of $$x$$ equal to $$20\%$$ of $$20$$, then what is the value of $$(x \ + \ 4)^2$$?
(A) $$156$$
(B) $$180$$
(C) $$50.25$$
(D) $$23.25$$
(E) $$144$$
49- If the interior angles of a quadrilateral are in the ratio $$1:2:3:4$$, what is the measure of the smallest angle?
(A) $$36^\circ$$
(B) $$150^\circ$$
(C) $$180^\circ$$
(D) $$45^\circ$$
(E) $$60^\circ$$
50- The length of a rectangle is $$\frac{2}{3}$$ times its width. If the width is $$12$$, what is the perimeter of this rectangle?
(A) $$20$$
(B) $$36$$
(C) $$54$$
(D) $$16$$
(E) $$40$$
 1- Choice B is correct The correct answer is $$6$$ tenthsDigit $$6$$ is in the tenths place. 2- Choice A is correct The correct answer is $$0.64$$$$0.04 \ × \ 16.00=\frac{4}{100} \ × \ \frac{16}{1}=\frac{64}{100}=0.64$$ 3- Choice D is correct The correct answer is $$3$$Number of packs needed equals to: $$\frac{12}{4} = 3$$.Then Mary must purchase $$3$$ packs. 4- Choice C is correct The correct answer is $$- \ 4$$$$x \ - \ 8=- \ 12→$$$$x=- \ 10 \ + \ 8→$$$$x=- \ 2$$, Then; $$x \ × \ 2=- \ 2 \ × \ 2=- \ 4$$ 5- Choice A is correct The correct answer is $$9$$ miles per hourHis average speed was: $$\frac{4.5}{0.5}=9$$ miles per hour 6- Choice D is correct The correct answer is approximately $$66$$ hoursThe time it takes to drive from city A to city B is:$$\frac{3600}{54}=66.66$$ 7- Choice D is correct The correct answer is $$28\%$$Number of males in the classroom is:$$50 \ - \ 36=14$$Then, the percentage of males in the classroom is:$$\frac{14}{50} \ × \ 100=0.28 \ × \ 100=28\%$$ 8- Choice E is correct The correct answer is $$x \ - \ 40$$.The amount of flour is: $$x \ - \ 40$$ 9- Choice A is correct The correct answer is $$63$$The perimeter of the quadrilateral is:$$5 \ + \ 22 \ + \ 8 \ + \ 28=63$$ 10- Choice A is correct The correct answer is $$100$$Let $$x$$ be the fourth quarter rate, then: $$\frac{90 \ + \ 82 \ + \ 80 \ + \ x}{4}=88$$Multiply both sides of the above equation by $$4$$. Then:$$4 \ × \ (\frac{90 \ + \ 82 \ + \ 80 \ + \ x}{4})=4 \ × \ 88→$$$$90 \ + \ 82 \ + \ 80 \ + \ x=352→$$$$252 \ + \ x=352→$$$$x=352 \ - \ 252=100$$ 11- Choice B is correct The correct answer is $$\ 28.08$$For one person the total cost is: $$\ 9.36$$Therefore, for three persons, the total cost is:$$3 \ × \ \ 9.36=\ 28.08$$ 12- Choice A is correct The correct answer is $$\frac{1}{6}$$The equation of a line in slope intercept form is:$$y=m \ x \ + \ b$$Solve for $$y$$.$$6 \ x \ + \ y=10 ⇒$$$$y=- \ 6 \ x \ + \ 10$$ $$y=- \ 6 \ x \ + \ 10$$The slope of this line is $$- \ 6$$.The slope of the line perpendicular to this line is:$$m_{1} \ × \ m_{2} = - \ 1 ⇒$$$$- \ 6 \ × \ m_{2} = - \ 1 ⇒$$$$m_{2} = \frac{1}{6}$$ 13- Choice E is correct The correct answer is $$20$$Let $$x$$ be the number.Write the equation and solve for $$x$$. $$\frac{2}{3} \ × \ 15= \frac{1}{2} \ x →$$$$\frac{2 \ × \ 15}{3}= \frac{1 \ x}{2}$$ , use cross multiplication to solve for $$x$$.$$2 \ × \ 30=1 \ x \ × \ 3 ⇒$$$$60=3 \ x ⇒ x=20$$ 14- Choice B is correct The correct answer is $$72,000$$Three times of $$32,000$$ is $$96,000$$.One fourth of them cancelled their tickets.One fourth of $$96,000$$ equals $$24,000 \ (\frac{1}{4} \ × \ 96000 = 24000)$$. $$72,000 \ (96000 \ – \ 24000 = 72000)$$ fans are attending this week 15- Choice B is correct The correct answer is $$136$$ milesUse the information provided in the question to draw the shape.Use Pythagorean Theorem: $$a^2 \ + \ b^2 = c^2$$$$80^2 \ + \ 110^2 =c^2 ⇒$$$$6400 \ + \ 12100 = c^2 ⇒$$$$18500 = c^2 ⇒$$$$c\cong136$$ miles 16- Choice C 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: $$\frac{528}{550}=0.96$$$$0.97$$ is the maximum ratio of woman to man in the four cities. 17- Choice C 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 $$= \frac{51.28}{48.72}=1.05$$ 18- Choice A is correct The correct answer is $$I \ > \ 3000 \ x \ + \ 21000$$Let $$x$$ be the number of years.Therefore, $$\ 3,000$$ per year equals $$3000 \ x$$. Starting from $$\ 21,000$$ annual salary means you should add that amount to $$3000 \ x$$. Income more than that is:$$I \ > \ 3000 \ x \ + \ 21000$$ 19- Choice A is correct The correct answer is $$\frac{4}{5} \ x$$$$\frac{x}{1 \ + \ 4 }=\frac{y}{9 \ - \ 5}→$$$$\frac{x}{5}=\frac{y}{4}→$$$$5 \ y=4 \ x→$$$$y=\frac{4}{5} \ x$$ 20- Choice A is correct The correct answer is $$132$$Let the number of women should be added to city D be $$x$$, then:$$\frac{528 \ + \ x}{550}=1.2→$$$$528 \ + \ x=550 \ × \ 1.2=660→$$$$x=132$$ 21- Choice C is correct The correct answer is $$8 : 12$$The average speed of Jason is:$$240 \ ÷ \ 6= 40$$ kmThe average speed of Emily is:$$120 \ ÷ \ 2 = 60$$ kmWrite the ratio and simplify. $$40: 60 ⇒ 8 : 12$$ 22- Choice D is correct The correct answer is $$30$$ cmThe length of MN is equal to:$$4 \ x \ + \ 6 \ x=10 \ x$$Then:$$10 \ x=50→$$$$x=\frac{50}{10}=5$$The length of ON is equal to:$$6 \ x=5 \ × \ 6=30$$ cm 23- Choice D is correct The correct answer is $$108.3\%$$Perimeter of rectangle A is equal to:$$2 \ × \ (9 \ + \ 3)=2 \ × \ 12=24$$Perimeter of rectangle B is equal to:$$2 \ × \ (9 \ + \ 4)=2 \ × \ 13=26$$Therefore:$$\frac{26}{24} \ × \ 100=1.083 \ × \ 100=108.3\%$$ 24- Choice A is correct The correct answer is $$x^3 \ \sqrt[4]{x}$$$$\sqrt[4]{x^{13}} = \sqrt[4]{x^{12} \ × \ x}=$$$$\sqrt[4]{x^{12}} \ ×\ \sqrt[4]{x}=x^{\frac{12}{4}} \ × \ \sqrt[4]{x}=$$$$x^3 \ \sqrt[4]{x}$$ 25- Choice E is correct The correct answer is $$899$$Smallest $$3$$–digit number is $$100$$, and biggest $$3$$–digit number is $$999$$.The difference is: $$899$$ 25- Choice E is correct The correct answer is $$899$$Smallest $$3$$–digit number is $$100$$, and biggest $$3$$–digit number is $$999$$.The difference is: $$899$$ 26- Choice E is correct The correct answer is $$3.5 \ + \ \frac{7}{2}$$A. $$\frac{1}{2} \ × \ \frac{1}{3}=\frac{1}{6}$$ is not equal to whole numberB. $$\frac{1}{2} \ + \ \frac{1}{3}=\frac{3 \ + \ 2}{6}=\frac{5}{6}$$ is not equal to whole numberC. $$\frac{12}{9}=\frac{4}{3}=1.3$$ is not equal to whole numberD. $$3.5 \ + \frac{2}{3} =\frac{7}{3}=2.33$$ is not equal to whole numberE. $$3.5 \ + \ \frac{7}{2}=3.5 \ + \ 3.5=7$$ is a whole number 27- Choice B is correct The correct answer is $$15\%$$The question is this: 530.40 is what percent of 624?Use percent formula: Part = percent/100 × whole$$530.40 = \frac{percent}{100} \ × \ 624 →$$$$530.40 = \frac{percent \ × \ 624}{100} →$$$$53040 =$$ percent $$× \ 624$$ Then, Percent $$= \frac{53040}{624} = 85$$$$530.40$$ is $$85%$$ of $$624$$.Therefore, the discount is: $$100\% \ – \ 85\% = 15\%$$ 28- Choice C is correct The correct answer is $$14\ \frac{7}{9}$$$$4 \ \frac{2}{3} \ × \ 3 \ \frac{ 1}{6}=\frac{14}{3} \ × \ \frac{19}{6}=\frac{14 \ × \ 19}{3 \ × \ 6}=\frac{266}{18}=\frac{133}{9}=14 \ \frac{7}{9}$$ 29- Choice A is correct The correct answer is $$4.620$$$$0.30 \ × \ 15.4=\frac{30}{100} \ × \ \frac{154}{10}=\frac{30 \ × \ 154}{100 \ × \ 10}=\frac{4620}{1000}=4.620$$ 30- Choice D is correct The correct answer is $$8$$Let $$x$$ be the number, then;$$\frac{2}{3} \ x=14→$$$$x=\frac{3 \ × \ 14}{2}=21$$Therefore: $$\frac{2}{5} \ x=\frac{2}{5} \ × \ 21=8$$ 31- Choice A is correct The correct answer is $$\ 750$$Use simple interest formula: I $$=$$ prt (I $$=$$ interest, p $$=$$ principal, r $$=$$ rate, t $$=$$ time)I $$=(15000) \ (0.025) \ (2)=\ 750$$ 32- Choice D is correct The correct answer is $$4$$Number of boxes equal to:$$\frac{144}{36}=\frac{16}{4}=4$$ 33- Choice A is correct The correct answer is $$10$$ hoursUse distance formula: Distance $$=$$ Rate $$×$$ time $$⇒ 500 = 50 \ ×$$ T, divide both sides by $$50$$.$$\frac{500}{50} =$$ T $$⇒$$ T $$= 10$$ hours. Change hours to minutes for the decimal part.$$10$$ hours $$= 10 \ × \ 60 = 600$$ minutes 34- Choice B is correct The correct answer is $$135$$ degreesThe angle $$x$$ and $$45$$ are complementary angles.Therefore: $$x \ + \ 45=180, 180^° \ - \ 45^°=135^°$$ 35- Choice E is correct The correct answer is $$7.5$$ feetUse formula of rectangle prism volume.V $$=$$ (length) (width) (height) $$⇒ 1800 = (20) \ (12)$$ (height)$$⇒$$ height $$= 1800\ ÷ \ 240= 7.5$$ feet 36- Choice B is correct The correct answer is $$2.28$$ mThe rate of construction company $$=\frac{25 \ cm}{1 \ min}=25$$ cm/minHeight of the wall after $$30$$ min $$= \frac{25 \ cm}{1 \ min} \ × \ 30$$ min $$=570$$ cm Let $$x$$ be the height of wall, then $$\frac{2}{5} \ x=570$$ cm$$→$$$$x=\frac{2 \ × \ 570}{5}→$$$$x=228$$ cm $$=2.28$$ m 37- Choice C is correct The correct answer is $$4$$Let’s review the choices provided:A. $$12 \ - \ 2=10→\frac{10}{2}=5≠2$$B. $$12 \ - \ 3=9→\frac{9}{3}=3≠2$$C. $$12 \ - \ 4=8→\frac{8}{4}=2=2$$D. $$12 \ - \ 6=6→\frac{6}{6}=1≠2$$E. $$12 \ - \ 12=0→\frac{0}{12}=0≠2$$ 38- Choice D is correct The correct answer is $$150$$The ratio of boys 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 $$3$$. $$400 \ ÷ \ 8 = 50 ⇒$$$$50 \ × \ 3 = 150$$ 39- Choice D is correct The correct answer is $$125$$$$5$$ cubed is: $$5 \ × \ 5 \ × \ 5=25 \ × \ 5=125$$ 40- Choice A is correct The correct answer is $$30$$ Km/hSpeed of car A is: $$\frac{400}{8}=50$$ Km/hSpeed of car B is: $$\frac{400}{5}=80$$ Km/h$$→80 \ - \ 50=30$$ Km/h 41- Choice D is correct The correct answer is $$56$$$$y = 3 \ a \ b \ + \ 2 \ b^2$$, Plug in the values of $$a$$ and $$b$$ in the equation: $$a = 2$$ and $$b = 4$$$$y = 3 \ (2) \ (4) \ +\ 2 \ (4)^2= 24 \ + \ 2 \ (16) = 24 \ + \ 32 = 56$$ 42- Choice A is correct The correct answer is $$\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{5}{6}$$$$\frac{1}{3}\cong 0.33$$$$\frac{2}{5} \cong 0.4$$$$\frac{3}{7} \cong 0.42$$$$\frac{5}{6}=0.83$$ 43- Choice E is correct The correct answer is $$11$$$$\frac{(2 \ + \ 5)^2}{7} \ + \ 4=\frac{(7)^2}{7} \ +\ 4=\frac{49}{7} \ + \ 4=7 \ + \ 4=11$$ 44- Choice B is correct The correct answer is $$0.02 \ x \ + \ 6000$$$$x$$ is the number of all sales profit and $$2\%$$ of it is:$$2\%\ × \ x=0.02 \ x$$Employee’s revenue: $$0.02 \ x \ + \ 6000$$ 45- Choice E is correct The correct answer is $$12 \ π$$Use the formula of the area of circles. Area $$= π \ r^2 ⇒$$$$36 \ π = π \ r^2 ⇒$$$$36 = r^2 ⇒ r = 6$$Radius of the circle is $$6$$. Now, use the circumference formula:Circumference $$= 2 \ π \ r = 2 \ π \ (6) = 12 \ π$$ 46- Choice C is correct The correct answer is $$18$$Prime factorizing of $$36=2 \ × \ 2 \ × \ 3 \ × \ 3$$Prime factorizing of $$54=2 \ × \ 3 \ × \ 3 \ × \ 3$$GCF $$=2 \ × \ 3 \ × \ 3=18$$ 47- Choice D is correct The correct answer is $$25$$$$\frac{2}{3}$$ Of $$150=\frac{2}{3} \ × \ 150=100$$$$\frac{1}{4}$$ Of $$100 =\frac{1}{4} \ × \ 100=25$$ 48- Choice E is correct The correct answer is $$144$$$$0.5 \ x=(0.2) \ × \ 20→$$$$x=8→(x \ + \ 4)^2=$$$$(8 \ + \ 4)^2=$$$$(12)^2=144$$ 49- Choice A is correct The correct answer is $$36^\circ$$The sum of all angles in a quadrilateral is $$360$$ degrees.Let $$x$$ be the smallest angle in the quadrilateral. Then the angles are:$$x, 2 \ x, 3 \ x, 4 \ x$$$$x \ + \ 2 \ x \ + \ 3 \ x \ + \ 4 \ x=360→$$$$10 \ x=360→x=36$$The angles in the quadrilateral are: $$36^°, 72^°, 72^°$$, and $$180^°$$The smallest angle is $$36$$ degrees. 50- Choice E is correct The correct answer is $$40$$Length of the rectangle is: $$\frac{2}{3} \ × \ 12=8$$Perimeter of rectangle is: $$2 \ × \ (8 \ + \ 12)=40$$

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