Full Length ASVAB Math Practice Test

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ASVAB Math Practice Test 4
Paper and Pencil-ASVAB
Arithmetic Reasoning
Total time for this section: 36 Minutes
30 questions
Calculators are not allowed for this test

1- In a classroom of $$50$$ students, $$32$$ are female. What percentage of the class is male?
(A) $$25\%$$
(B) $$36\%$$
(C) $$21\%$$
(D) $$45\%$$
2- Mike has been working on a report for $$8$$ hours each day, $$6$$days a week for $$3$$ weeks. How many minutes has Mike worked on his report?
(A) $$8640$$
(B) $$24$$
(C) $$125$$
(D) $$6214$$
3- During the last week of track training, Cathrine achieves the following times in seconds: $$62 \ , \ 57 \ , \ 52 \ , \ 68 \ , \ 53$$, and $$58$$. Her three best times this week (least times) are averaged for her final score on the course. What is her final score?
(A) $$58$$
(B) $$60$$
(C) $$65$$
(D) $$54$$
4- Jack is driving to visit his father, who lives $$400$$ miles away. How long will the drive be, round−trip, if Jack drives at an average speed of $$40$$ mph?
(A) $$1200$$ minutes
(B) $$140$$ minutes
(C) $$250$$ minutes
(D) $$862$$ minutes
5- How many square feet of tile is needed for a $$12$$ feet x  $$12$$ feet room?
(A) $$60$$ square feet
(B) $$112$$ square feet
(C) $$144$$ square feet
(D) $$85.5$$ square feet
6- You are asked to chart the temperature during a $$6-$$hour period to give the average. These are your results:
$$7$$ am:  $$5$$ degrees              $$8$$ am: $$8$$ degrees
$$9$$ am: $$18$$ degrees             $$10$$ am:$$20$$ degrees
$$11$$ am: $$30$$ degrees           $$12$$ pm: $$32$$ degrees
What is the average temperature?
(A) $$18.83$$
(B) $$20.36$$
(C) $$32.65$$
(D) $$18.50$$
7- Which of the following is NOT a factor of $$40$$?
(A) $$2$$
(B) $$10$$
(C) $$4$$
(D) $$14$$
8- Emma and Lucy have taken the same number of photos on their school trip. Emma has taken $$3$$ times as many photos as Mike. Lucy has taken $$18$$ more photos than Mike. How many photos has Mike taken?
(A) $$10$$
(B) $$9$$
(C) $$12$$
(D) $$8$$
9- With what number must $$1.295432$$ be multiplied to obtain the number $$129.5432$$?
(A) $$10$$
(B) $$10,000$$
(C) $$100,000$$
(D) $$100$$
10- Emily is working in a hospital supply room and makes $$\ 35.00$$ an hour. The union negotiates a new contract giving each employee a $$6\%$$ cost of living raise. What is Emily’s new hourly rate?
(A) $$\ 37.1$$ an hour
(B) $$\ 30$$ an hour
(C) $$\ 25$$ an hour
(D) $$\ 20$$ an hour
11- The sum of $$4$$ numbers is greater than $$150$$ and less than $$170$$. Which of the following could be the average (arithmetic mean) of the numbers?
(A) $$22$$
(B) $$25$$
(C) $$32$$
(D) $$42$$
12- John has been working on a report for $$5$$ hours each day, $$7$$ days a week for $$2$$ weeks. How many minutes has John worked on his report?
(A) $$4,200$$ minutes
(B) $$2,564$$ minutes
(C) $$1,321$$ minutes
(D) $$6,489$$ minutes
13- A barista averages making $$20$$ coffees per hour. At this rate, how many hours will it take until she’s made $$2,400$$ coffees?
(A) $$95$$ hours
(B) $$120$$ hours
(C) $$80$$ hours
(D) $$60$$ hours
14- Find the average of the following numbers: $$18 \ , \ 24 \ , \ 12 \ , \ 36$$
(A) $$22.5$$
(B) $$18$$
(C) $$25$$
(D) $$20.5$$
15- What is the distance in miles of a trip that takes $$3.6$$ hours at an average speed of $$15.2$$ miles per hour? (Round your answer to a whole number)
(A) $$60$$ miles
(B) $$35$$ miles
(C) $$55$$ miles
(D) $$70$$ miles
16- A mobile classroom is a rectangular block that is $$80$$ feet by $$40$$ feet in length and width respectively. If a student walks around the block once, how many yards does the student cover?
(A) $$120$$ yards
(B) $$240$$ yards
(C) $$65$$ yards
(D) $$350$$ yards
17- A snack machine accepts only quarters. Candy bars cost $$45\ ¢$$, a package of peanuts costs $$65\ ¢$$, and a can of cola costs $$45\ ¢$$. How many quarters are needed to buy two Candy bars, one package of peanuts, and one can of cola?
(A) $$8$$ quarters
(B) $$4$$ quarters
(C) $$9$$ quarters
(D) $$4$$ quarters
18- What is the product of the square root of $$64$$ and the square root of $$36$$?
(A) $$12$$
(B) $$54$$
(C) $$48$$
(D) $$10$$
19- There are $$132$$ rooms that need to be painted and only $$4$$ painters available. If there are still $$8$$ rooms unpainted by the end of the day, what is the average number of rooms that each painter has painted?
(A) $$15$$
(B) $$20$$
(C) $$35$$
(D) $$31$$
20- An architect’s floor plan uses $$\frac{1}{2}$$ inch to represent one mile. What is the actual distance represented by $$6\frac{1}{2}$$ inches?
(A) $$13$$ miles
(B) $$10$$ miles
(C) $$7$$ miles
(D) $$15$$ miles
21- Ashly was making $$\ 5.50$$ per hour and got a raise to $$\ 5.75$$ per hour. What percentage increase was Ashly’s raise?
(A) $$6.54\%$$
(B) $$32.4\%$$
(C) $$4.54\%$$
(D) $$3.25\%$$
22- The hour hand of a watch rotates $$30$$ degrees every hour. How many complete rotations does the hour hand make in $$5$$ days?
(A) $$10$$
(B) $$6$$
(C) $$14$$
(D) $$16$$
23- Convert $$0.0045$$ to a percent.
(A) $$0.40$$
(B) $$4.5$$
(C) $$4.0$$
(D) $$0.45$$
24- A floppy disk shows $$723,128$$ bytes free and $$542,154$$ bytes used. If you delete a file of size $$325,159$$ bytes and create a new file of size $$312,671$$ bytes, how many free bytes will the floppy disk have?
(A) $$735,616$$
(B) $$265,452$$
(C) $$759,496$$
(D) $$459,328$$
25- Lucy uses a $$25\%$$ off coupon when buying a sweater that costs $$\ 60$$. If she also pays $$4\%$$ sales tax on the purchase, how much does she pay?
(A) $$\ 25.34$$
(B) $$\ 32.65$$
(C) $$\ 46.8$$
(D) $$\ 56.8$$
26- David has been working on a report for $$4$$ hours each day, $$7$$ days a week for $$2$$ weeks. How many minutes has David worked on his report?
(A) $$1,245$$ minutes
(B) $$3,360$$ minutes
(C) $$4,982$$ minutes
(D) $$6,370$$ minutes
27- I’ve got $$24$$ quarts of milk and my family drinks $$3$$ gallons of milk per week. How many weeks will that last us?
(A) $$2$$ weeks
(B) $$3.5$$ weeks
(C) $$4.25$$ weeks
(D) $$4$$ weeks
28- If $$6 \ y \ + \ 5 \ y \ + \ 4 \ y = − \ 30$$, then what is the value of $$y$$?
(A) $$5$$
(B) $$- \ 3$$
(C) $$- \ 2$$
(D) $$1$$
29- A bread recipe calls for $$3\frac{3}{2}$$ cups of flour. If you only have $$1\frac {2}{4}$$ cups of flour, how much more flour is needed?
(A) $$3$$
(B) $$\frac{1}{2}$$
(C) $$\frac{5}{2}$$
(D) $$5$$
30- A writer finishes $$210$$ pages of his manuscript in $$30$$ hours. How many pages is his average per hour?
(A) $$7$$
(B) $$9$$
(C) $$12$$
(D) $$6$$

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ASVAB Math Practice Test 4

Paper and Pencil-ASVAB
Mathematics Knowledge
25 questions
Total time for this section: 24 Minutes
Calculators are not allowed for this test.

31- If $$x$$ is a positive integer divisible by $$5$$, and $$x \ < \ 40$$, what is the greatest possible value of $$x$$?
(A) $$10$$
(B) $$20$$
(C) $$38$$
(D) $$35$$
32- $$(x \ + \ 4) \ (x \ + \ 3) =$$ ?
(A) $$x^2 \ + \ 7 \ x \ + \ 12$$
(B) $$2 \ x \ + \ 7 \ x \ + \ 12$$
(C) $$2 \ x \ + \ 7 \ x \ + \ 8$$
(D) $$x^2 \ + \ 7 \ x \ + \ 8$$
33- There are two pizza ovens in a restaurant. Oven $$1$$ burns three times as many pizzas as oven $$2$$. If the restaurant had a total of $$16$$ burnt pizzas on Saturday, how many pizzas did the oven $$2$$ burn?
(A) $$4$$
(B) $$10$$
(C) $$8$$
(D) $$15$$
34- Convert $$420,000$$ to scientific notation.
(A) $$4.2 \ × \ 10^- \ 5$$
(B) $$4.2 \ × \ 100$$
(C) $$4.2 \ × \ 10^5$$
(D) $$4.2 \ × \ 1000$$
35- Which of the following is an obtuse angle?
(A) $$125^\circ$$
(B) $$45^\circ$$
(C) $$225^\circ$$
(D) $$60^\circ$$
36- What is the perimeter of the triangle in the provided diagram?
(A) $$20.5$$
(B) $$225$$
(C) $$45$$
(D) $$60$$
37- $$5^3 \ × \ 5^6 =$$ ?
(A) $$5^9$$
(B) $$5^{18}$$
(C) $$5^3$$
(D) $$5^2$$
38- A circle has a diameter of $$12$$ inches. What is its approximate area?$$(π = 3.14)$$
(A) $$114$$
(B) $$23.45$$
(C) $$113.04$$
(D) $$156.4$$
39- What is $$6589.49235$$ rounded to the nearest tenth?
(A) $$6589$$
(B) $$6589.492$$
(C) $$6589.5$$
(D) $$6589.49$$
40- Which of the following is the correct calculation for $$5!$$?
(A) $$5 \ × \ 4 \ × \ 3 \ × \ 2 \ × \ 1$$
(B) $$3 \ × \ 4 \ × \ 5$$
(C) $$0 \ × \ 1 \ × \ 2 \ × \ 3 \ × \ 4 \ × \ 5$$
(D) $$0 \ × \ 1 \ × \ 2 \ × \ 3 \ × \ 4$$
41- The cube root of $$512$$ is?
(A) $$8808$$
(B) $$88.8$$
(C) $$8$$
(D) $$1245$$
42- The equation of a line is given as: $$y=6 \ x \ - \ 2$$. Which of the following points does not lie on the line?
(A) $$(1 \ , \ 2)$$
(B) $$(2 \ , \ 10)$$
(C) $$(- \ 1 \ , \ - \ 8)$$
(D) $$(3 \ , \ 16)$$
43- A rectangular plot of land is measured to be $$120$$ feet by $$210$$ feet. Its total area is:
(A) $$25,200$$ square feet
(B) $$25,2000$$ square feet
(C) $$2,032$$ square feet
(D) $$4,562$$ square feet
44- What is the distance between the points $$(1 \ , \ 3)$$ and $$(− \ 2 \ , \ 7)$$?
(A) $$5$$
(B) $$9$$
(C) $$3$$
(D) $$7$$
45- With what number must $$3.356452$$ be multiplied to obtain the number $$33,564.52$$?
(A) $$100,000$$
(B) $$100$$
(C) $$10$$
(D) $$10,000$$
46- What is the sum of the prime numbers in the following list of numbers?
$$11 \ , \ 14 \ , \ 7\ , \ 15\ , \ 12 \ , \ 24 \ , \ 31\ , \ 32 \ , \ 28$$
(A) $$21$$
(B) $$49$$
(C) $$25$$
(D) $$12$$
47- The sum of $$5$$ numbers is greater than $$240$$ and less than $$320$$. Which of the following could be the average (arithmetic mean) of the numbers?
(A) $$52$$
(B) $$68$$
(C) $$70$$
(D) $$40$$
48- Convert $$50\%$$ to a fraction.
(A) $$\frac{1}{2}$$
(B) $$\frac{3}{2}$$
(C) $$\frac{3}{4}$$
(D) $$\frac{2}{3}$$
49- One-sixth cube of $$6$$ is:
(A) $$6$$
(B) $$24$$
(C) $$36$$
(D) $$12$$
50- Simplify: $$4 \ (3 \ x^4)^2$$.
(A) $$36 \ x^8$$
(B) $$36 \ x^5$$
(C) $$6\ x^5$$
(D) $$6\ x^4$$
51- The supplement angle of a $$60^\circ$$ angle is:
(A) $$110^\circ$$
(B) $$90^\circ$$
(C) $$130^\circ$$
(D) $$120^\circ$$
52- Which of the following is NOT a factor of $$24$$?
(A) $$12$$
(B) $$6$$
(C) $$4$$
(D) $$64$$
53- How long is the line segment shown on the number line below?
(A) $$7$$
(B) $$- \ 7$$
(C) $$- \ 11$$
(D) $$11$$
54- $$30\%$$ of $$60$$ is:
(A) $$18$$
(B) $$25$$
(C) $$12$$
(D) $$5$$
55- $$x^2 \ – \ 64 = 0$$ , $$x$$ could be:
(A) $$9$$
(B) $$8$$
(C) $$12$$
(D) $$16$$

 1- Choice B is correct The correct answer is $$36\%$$$$50 \ – \ 32 =18$$ male students$$\frac{18}{50}= 0.36$$ Change $$0.36$$ to percent ⇒$$0.36 \ × \ 100 = 36\%$$ 2- Choice A is correct The correct answer is $$8640$$$$3$$ weeks = $$18$$ daysThen:$$18 \ × \ 8 = 144$$ hours$$144 \ × \ 60 = 8,640$$ minutes 3- Choice D is correct The correct answer is $$54$$Cathrine’s three best times are $$52 \ ,\ 53$$, and $$57$$. The average of these numbers is:average$$=\frac{sum}{total}$$Sum $$= 52 \ + \ 53 \ + \ 75 = 162$$Total number of numbers = $$3$$average$$=\frac {162}{3}=54$$ 4- Choice A is correct The correct answer is $$1200$$ minutesdistance=speed ×time ⇒time=$$\frac{distance}{speed}=\frac{400 \ + \ 400}{40}=20$$(Round trip means that the distance is $$800$$ miles)The round trip takes $$20$$ hours. Change hours to minutes, then:$$20 \ × \ 60=1200$$ 5- Choice C is correct The correct answer is $$144$$ square feetThe area of a $$12$$ feet x $$12$$ feet room is $$144$$square feet.$$12 \ × \ 12 = 144$$ 6- Choice A is correct The correct answer is $$18.83$$average=$$\frac{sum}{total}$$Sum = $$5 \ + \ 8 \ + \ 18 \ + \ 20 \ + \ 30 \ + \ 32 = 113$$Total number of numbers = $$6$$$$\frac{113}{6} =18.83$$ 7- Choice D is correct The correct answer is $$14$$The factors of $$40$$ are:$${1 \ , \ 2 \ , \ 4 \ , \ 10 \ , \ 20 \ , 40}$$$$14$$ is not a factor of $$40$$. 8- Choice B is correct The correct answer is $$9$$Emma = LucyEmma = $$3$$ Mike        ⇒Lucy = $$3$$ MikeLucy = Mike $$+ \ 18$$then:Lucy = Mike $$+ \ 18$$   ⇒$$3$$ Mike = Mike $$+ \ 18$$Remove $$1$$ Mike from both sides of the equation. Then:$$2$$ Mike = $$18$$⇒ Mike =$$9$$ 9- Choice D is correct The correct answer is $$100$$$$1.295432 \ × \ 100 = 129.5432$$ 10- Choice A is correct The correct answer is $$\ 37.1$$ an hour$$6$$ percent of $$35$$ is: $$35 \ × \frac{6}{100} =2.1$$Emily’s new rate is $$37.1$$. $$35 \ + \ 2.1= 37.1$$ 11- Choice D is correct The correct answer is $$42$$Let’s review the choices provided and find their sum.$$22 \ × \ 4 = 88$$$$25 \ × \ 4 = 100$$$$32 \ × \ 4 = 128$$$$42 \ × \ 4 = 168$$⇒is greater than $$150$$ and less than $$170$$Only choice d gives a number that is greater than $$150$$ and less than $$170$$. 12- Choice A is correct The correct answer is $$4,200$$ minutes$$14$$ days$$14 \ × \ 5 = 70$$ hours$$70 \ × \ 60 = 4,200$$ minutes 13- Choice B is correct The correct answer is $$120$$ hours$$\frac{1 \ hour}{20 \ coffees}= \frac{x}{2400}$$ ⇒$$20 \ × \ x = 1 \ × \ 2,400⇒20 \ x=2,400$$$$x=120$$It takes $$120$$ hours until she’s made $$2,400$$ coffees. 14- Choice A is correct The correct answer is $$22.5$$Sum $$= 18 \ + \ 24 \ + \ 12 \ + \ 36 = 90$$average$$=\frac{90}{4} =22.5$$ 15- Choice C is correct The correct answer is $$55$$ milesSpeed = $$\frac{distance}{ time}$$$$15.2 =\frac{distance}{ 3.6}$$ ⇒ distance $$=15.2 \ × \ 3.6=54.72$$Rounded to a whole number, the answer is $$55$$. 16- Choice B is correct The correct answer is $$240$$ yardsPerimeter of a rectangle $$= 2 \ ×$$length $$+ \ 2 \ ×$$width =$$2 \ × \ 80 \ + \ 2 \ × \ 40 = 160 \ + \ 80 = 240$$ 17- Choice A is correct The correct answer is $$8$$ quartersTwo candy bars costs $$90\ ¢$$ and a package of peanuts cost $$65\ ¢$$ and a can of cola costs $$45\ ¢$$. The total cost is:$$90 \ + \ 65 \ + \ 45= 200$$$$200$$ is equal to $$8$$ quarters.$$8 \ × \ 25 = 200$$ 18- Choice C is correct The correct answer is $$48$$$$\sqrt{64} \ × \sqrt{36} = 8 \ × \ 6 = 48$$ 19- Choice D is correct The correct answer $$31$$$$132 \ – \ 8=124$$$$\frac{124}{4}=31$$ 20- Choice A is correct The correct answer is $$13$$ milesWrite a proportion and solve.$$\frac{\frac{1}{2}inches}{6.5}$$=$$\frac{1 \ mile}{x}$$Use cross multiplication, then:$$\frac{1}{2} \ x=6.5 → x=13$$ 21- Choice C is correct The correct answer is $$4.54\%$$percent of change$$=\frac{change}{original \ number}$$$$5.75 \ – \ 5.50 = 0.25$$percent of change$$=\frac{0.25}{5.50} = 0.0454 ⇒0.0454 \ × \ 100 = 4.54\%$$ 22- Choice A is correct The correct answer is $$10$$Every day the hour hand of a watch makes $$2$$ complete rotation. ($$\frac{360}{30}=12$$ ⇒ a complete rotation takes $$12$$ hour, $$\frac{24}{12}=2$$) Thus, it makes $$10$$ complete rotations in $$5$$ days.$$2 \ × \ 5 = 10$$ 23- Choice D is correct The correct answer is $$0.45\%$$To convert a decimal to percent, multiply it by $$100$$ and then add the percent sign (%).$$0.0045 \ × \ 100 = 0.45\%$$ 24- Choice A is correct The correct answer is $$735,616$$The difference of the file added, and the file deleted is:$$325,159 \ – \ 312,671 = 12488$$$$723,128 \ + \ 12,488 = 735,616$$ 25- Choice C is correct The correct answer is $$\ 46.8$$$$25\% \ × \ 60 = \frac{25}{100} \ × \ 60=15$$ The coupon has $$\ 15$$ value. Then, the selling price of the sweater is $$\ 45$$. $$60 \ – \ 15 = 45$$Add $$4\%$$ tax, then: $$\frac{4}{100} \ × \ 45 = 1.8$$ for tax then:$$45 \ + \ 1.8 = \ 46.8$$ 26- Choice B is correct The correct answer is $$3,360$$ minutes$$2$$ Weeks $$= 14$$ Days$$4$$ hours $$× 14$$ Days $$= 56$$ hours$$56$$ hours $$=3,360$$ minutes 27- Choice A is correct The correct answer is $$2$$ weeks$$1$$ quart $$= 0.25$$ gallon$$24$$ quarts $$= 24 \ × \ 0.25 =6$$ gallonsthen:$$\frac{6}{3} = 2$$ weeks 28- Choice C is correct The correct answer is $$- \ 2$$$$6 \ y \ + \ 5 \ y \ + \ 4 \ y = − \ 30 ⇒ 15 \ y = − \ 30 ⇒ \ y = − \ 2$$ 29- Choice A is correct The correct answer is $$3$$$$3\frac{3}{2} \ − \ 1\frac{2}{4}= 3\frac{6}{4} \ − \ 1 \frac{2}{4} = \frac{18}{4} \ − \frac{6}{4}= \frac{12}{4} = 3$$ 30- Choice A is correct The correct answer is $$7$$$$210 \ ÷ \ 30 = 7$$ 31- Choice D is correct The correct answer is $$35$$From the choices provided, $$10 \ , \ 20$$ and $$35$$ are divisible by $$5$$. From these numbers, $$35$$ is the biggest. 32- Choice A is correct The correct answer is $$x^2 \ + \ 7 \ x \ + \ 12$$Use FOIL (First, Out, In, Last) method.$$(x \ + \ 4) \ (x \ + \ 3) = x^2 \ + \ 3 \ x \ + \ 4 \ x \ + \ 12 = x^2 \ + \ 7 \ x \ + \ 12$$ 33- Choice A is correct The correct answer is $$4$$Oven $$1$$ = $$3$$ oven $$2$$If Oven $$2$$ burns $$4$$ then oven $$1$$ burns $$12$$ pizzas. $$4 \ + \ 12 = 16$$ 34- Choice C is correct The correct answer is $$4.2 \ × \ 10^5$$In scientific notation form, numbers are written with one whole number times $$10$$ to the power of a whole number.Number $$420,000$$ has $$6$$ digits.Write the number and after the first digit put the decimal point. Then, multiply the number by $$10$$ to the power of $$5$$ (number of remaining digits). Then:$$420,000 =4.2 \ × \ 10^5$$ 35- Choice A is correct The correct answer is $$125^\circ$$An obtuse angle is an angle greater than $$90^\circ$$ and less than $$180^\circ$$. 36- Choice C is correct The correct answer is $$45$$Perimeter of a triangle = side $$1 +$$ side $$2 +$$ side $$3 = 15 \ + \ 15 \ + \ 15 = 45$$ 37- Choice A is correct The correct answer is $$5^9$$ Use exponent multiplication rule:$$x^a \ . \ x^b = x^{a \ + \ b}$$Then: $$5^3 \ × \ 5^6 = 5^9$$ 38- Choice C is correct The correct answer is $$113.04$$Diameter $$= 12$$then: Radius $$=6$$Area of a circle $$= π \ r^2$$ ⇒ A $$= 3.14 \ (6)^2 =113.04$$ 39- Choice C is correct The correct answer is $$6589.5$$$$6589.49235$$ rounded to the nearest tenth equals $$6589.5$$(Because $$6589.49$$ is closer to $$6,589.5$$ than $$6,589.4$$) 40- Choice A is correct The correct answer is $$5 \ × \ 4 \ × 3 \ × 2 \ × \ 1$$$$5! = 5 \ × \ 4 \ × \ 3 \ × \ 2 \ × \ 1$$ 41- Choice C is correct The correct answer is $$8$$$$\sqrt[3]{512} = 8$$ 42- Choice A is correct The correct answer is $$(1 \ , \ 2)$$Let’s review the choices provided. Put the values of $$x$$ and $$y$$ in the equation.$$(1\ , \ 2) ⇒x = 1 ⇒y = 4$$ This is not true!$$(2 \ , \ 10) ⇒x = 2 ⇒y = 10$$ This is true!$$(- \ 1 \ , \ - \ 8) ⇒ x = - \ 1 ⇒y = - \ 8$$ This is true$$(3 \ , \ 16) ⇒x = 3 ⇒y = 16$$ This is true! 43- Choice A is correct The correct answer is $$25,200$$ square feetArea of a rectangle = width $$×$$ length $$= 120 \ × \ 210 = 25,200$$ 44- Choice A is correct The correct answer is $$5$$Use distance formula:$$d=\sqrt{(x_1 \ - \ x_2)^2 \ + \ (y_1 \ - \ y_2)^2} =\sqrt{(1 \ - \ (- \ 2))^2 \ + \ (3 \ - \ 7)^2}$$$$\sqrt{9 \ + \ 16} =\sqrt{25} = 5$$ 45- Choice D is correct The correct answer is $$10000$$Number $$3.356452$$ should be multiplied by $$10,000$$ in order to obtain the number $$33,564.52$$$$3.356452 \ × \ 10,000 = 33,564.52$$ 46- Choice B is correct The correct answer is $$49$$From the list of numbers $$7 \ , \ 11$$, and $$31$$ are prime numbers. Their sum is:$$7 \ + \ 11 \ + \ 31= 49$$ 47- Choice A is correct The correct answer is $$52$$Let’s review the choices provided.$$40 \ × \ 5 = 200$$$$52 \ × \ 5 = 260$$$$70 \ × \ 5 = 350$$$$68 \ × \ 5 = 340$$From choices provided, only $$260$$ is greater than $$240$$ and less than $$320$$. 48- Choice A is correct The correct answer is $$\frac{1}{2}$$$$50\% =\frac{50}{100} =\frac{1}{2}$$ 49- Choice C is correct The correct answer is $$36$$The cube of $$6 = 6 \ × \ 6 \ × \ 6 = 216$$$$\frac{1}{6} \ × \ 216 =36$$ 50- Choice A is correct The correct answer is $$36 \ x^8$$$$4 \ (3 \ x^4)^2⇒ 4 \ × \ 3^2 \ × \ x^8 = 36 \ x^8$$ 51- Choice D is correct The coorect answer is $$120^\circ$$Two Angles are supplementary when they add up to $$180$$ degrees.$$120^\circ \ + \ 60^\circ = 180^\circ$$ 52- Choice D is correct The correct answer is $$64$$factor of $$24 = {1 \ , \ 2 \ , \ 3 \ , \ 4 \ , \ 6 \ , \ 8 \ , \ 12 \ , \ 24}$$$$64$$ is not a factor of $$24$$. 53- Choice D is correct The correct answer is $$11$$$$2 \ – \ (– \ 9) = 2 \ + \ 9 = 11$$ 54- Choice A is correct The correct answer is $$18$$$$\frac{30}{100} \ × \ 60 =18$$ 55- Choice B is correct The correct answer is $$8$$$$x^2 \ – \ 64 = 0 ⇒ x^2 = 64 ⇒x$$ could be $$8$$ or $$– \ 8$$.

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