 ## Full-Length GED Mathematical Reasoning Practice Test

Taking a practice test for the GED Math, which is similar to an actual exam day, helps you become familiar with how the format of this particular assessment and feel more confident. You will also see if you are prepared to take on such a big challenge as it simulates what could be expected during real-time testing.

If you're going to take the GED test, this complete and realistic practice test can help prepare your mind and body for it. Treat this practice test as a real one - make sure you have scratch paper, pencils, timers, calculators; follow the time limits to the minute. After finishing every question in one sitting-with no distractions!-score your tests using answer keys provided at end of each section. Good luck with everything!

### The Most Comprehensive GED Math Preparation Bundle

$79.99$34.99
56% Off*

Includes GED Math Prep Books, Workbooks, and Practice Tests

GED Mathematical Reasoning

Practice Test 3   Part 1 (Non-Calculator)   5 questions Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes  You may NOT use a calculator on this part.

1- $$5$$ yards $$8$$ feet and $$10$$ inches equal to how many inches?
(A) $$276$$
(B) $$286$$
(C) $$278$$
(D) $$268$$
2- $$7$$ more than triple a positive integer is $$106.$$ What is the integer?
(A) $$33$$
(B) $$31$$
(C) $$49.5$$
(D) $$99$$
3- A shirt costing $$200$$ is discounted $$10$$%. After a month, the shirt is discounted another $$25$$%.
Which of the following expressions can be used to find the selling price of the shirt?
(A) $$(200) \ –\ 200\ (0.25)$$
(B) $$(200) \ (0.90) \ (0.75)$$
(C) $$(200) \ (0.15) \ –\ (200) \ (0.25)$$
(D) $$(200) (0.70)$$
4- Which of the following points lies on the line $$3\ x \ + \ 5\ y \ = \ 30$$
(A) $$(4 , 1)$$
(B) $$(3 , 2)$$
(C) $$(4 , 3)$$
(D) $$(5 , 3)$$
5- $$7 \ + \ 4 \ × \ (– 3) \ – [5 \ + \ 11 \ × \ 5] \ ÷ \ 3 \ = \ ?$$
(A) -25
(B) - 25
(C) -25
(D) - 25

GED Mathematical Reasoning Practice Test

(Calculator) 41 questions
Total time for two sections (Non–Calculator, and Calculator sections): 115 Minutes You may use a calculator in this section.

6- The price of a car was $$30,000$$ in $$2016$$, $$21,000$$ in $$2017$$ and $$14,700$$ in $$2018$$. What is the rate of depreciation of the price of the car per year?
(A) $$25$$%
(B) $$30$$%
(C) $$51$$%
(D) $$30$$%
7- The width of a box is one-fifth of its length. The height of the box is one-third of its width.
If the length of the box is $$30$$ cm, what is the volume of the box?
(A) $$360$$
(B) $$270$$
(C) $$540$$
(D) $$375$$
8- If $$20$$% of $$A$$ is $$80$$ % of $$B$$, then $$B$$ is what percent of $$A$$?
(A) $$30$$%
(B) $$25$$%
(C) $$400$$%
(D) $$300$$%
9- How many possible outfit combinations come from seven shirts, two slacks, and five ties?
(A) 50
(B) 80
(C) 60
(D) 70
10- A ladder leans against a wall forming a $$60^\circ$$angle between the ground and the ladder. If the bottom of the ladder is
$$25$$ feet away from the wall, how long is the ladder$$?$$
(A) $$50$$ feet
(B) $$25$$ feet
(C) $$60$$ feet
(D) $$10$$ feet
11- When a number is subtracted from $$48$$ and the difference is divided by that number, the result is $$5$$.
What is the value of the number?
(A) $$8$$
(B) $$12$$
(C) $$11$$
(D) $$7$$
12- An angle is equal to a quarter of its supplement. What is the measure of that angle?
(A)  $$30$$
(B)  $$48$$
(C)  $$24$$
(D)  $$36$$
13- John traveled $$200$$ km in $$5$$ hours and Alice traveled $$240$$ km in $$4$$ hours.
What is the ratio of the average speed of John to the average speed of Alice?
(A) $$5 \ : \ 6$$
(B) $$2 \ : \ 3$$
(C) $$3 \ : \ 2$$
(D) $$1 \ : \ 1$$
14- If $$60\%$$ of a class are boys, and $$30\%$$ of boys play football, what percent of the class play football?
(A) $$18\%$$
(B) $$15\%$$
(C) $$21\%$$
(D) $$20\%$$
15- What is the value of $$x$$ in the following system of equation?
$$2\ x \ - \ y \ = \ -\ 3$$
$$4\ x \ + \ 2\ y \ = \ 6$$
(A) $$1$$
(B) $$-\ 1$$
(C) $$2$$
(D) $$0$$
16- In five successive hours, a car travels $$20$$ km, $$45$$ km, $$40$$ km, $$35$$ km and $$50$$ km. In the next two hours, it travels with
an average speed of $$60$$ km per hour. Find the total distance the car traveled in $$7$$ hours.
(A)  $$310$$
(B)  $$300$$
(C)  $$280$$
(D)  $$320$$
17- How long does a $$320$$–miles trip take moving at $$50$$ miles per hour (mph)?
(A) $$6$$ hours and $$24$$ minutes
(B) $$4$$ hours
(C) $$4$$ hours and $$24$$ minutes
(D) $$6$$ hours
18- What is the difference between the smallest $$3$$–digit number and the biggest $$4$$–digit number?
(A) $$8999$$
(B) $$9899$$
(C) $$9900$$
(D) $$8900$$
19- What is the value of $$4^5$$ $$?$$
(A) $$2048$$
(B) $$512$$
(C) $$912$$
(D) $$1024$$
20- Right triangle ABC has two legs of lengths $$3$$ cm (AB) and $$4$$ cm (AC).
What is the length of the third side (BC)?
(A) $$4.2$$
(B) $$10$$
(C) $$5$$
(D) $$6.4$$
21- 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) $$500$$
(B) $$600$$
(C) $$200$$
(D) $$300$$
22- $$30$$ is What percent of $$15$$?
(A) $$200$$
(B) $$2$$
(C) $$0.5$$
(D) $$50$$
23- The perimeter of the trapezoid below is $$64$$. What is its area? (A) $$220$$
(B) $$240$$
(C) $$250$$
(D) $$260$$
24- Two third of $$24$$ is equal to $$\frac{1}{4}$$ of what number$$?$$
(A) $$48$$
(B) $$64$$
(C) $$32$$
(D) $$80$$
25- The marked price of a computer is D dollar. Its price decreased by $$25$$% in January and later increased by $$5$$ % in February.
What is the final price of the computer in D dollar?
(A) $$78$$%
(B) $$72$$%
(C) $$92$$%
(D) $$84$$%
26- The area of a circle is $$49$$ $$π$$. What is the circumference of the circle$$?$$
(A) $$16$$ $$π$$
(B) $$64$$ $$π$$
(C) $$14$$ $$π$$
(D) $$25$$ $$π$$
27- A $$$50$$ shoe now selling for$$$35$$ is discounted by what percent?
(A)  $$50$$%
(B)  $$30$$%
(C)  $$25$$%
(D)  $$15$$%
28- In $$1999$$, the average worker's income increased $$1900$$ per year starting from $$25000$$ annual salary. Which equation represents income greater than average? (I $$=$$ income, $$x$$ $$=$$ number of years after $$1999$$)
(A) $$I >$$ $$-\ 1900\ x$$ $$+$$ $$25000$$
(B) $$I >$$ $$1900\ x$$ $$+$$ $$25000$$
(C) $$I <$$ $$1900\ x$$ $$+$$ $$25000$$
(D) $$I <$$ $$-1900\ x$$ $$+$$ $$25000$$
29- From last year, the price of gasoline has increased from $$1$$ per gallon to $$1.5$$ per gallon.
The new price is what percent of the original price?
(A) $$100%$$
(B) $$50%$$
(C) $$75%$$
(D) $$150%$$

### GED Math for Beginners 2022

$28.99$14.99
48% Off*

The Ultimate Step by Step Guide to Preparing for the GED Math Test

30- A boat sails $$80$$ miles south and then $$60$$ miles east. How far is the boat from its start point?
(A) 80
(B) $$100$$
(C) $$50$$
(D) $$120$$
31- Which of the following could be the product of two consecutive prime numbers?
(A) $$8$$
(B) $$6$$
(C) $$99$$
(D) $$21$$
32- Sophia purchased a sofa for $$620$$. The sofa is regularly priced at $$840$$. What was the percent discount Sophia received on the sofa?
(A) $$26.2$$%
(B) $$32.4$$%
(C) $$44.6$$%
(D) $$16.5$$%
33- The score of Emma was half that of Ava and the score of Mia was twice that of Ava.
If the score of Mia was $$80$$, what is the score of Emma?
(A) $$80$$
(B) $$40$$
(C) $$20$$
(D) $$10$$
34- A bag contains  $$24$$ balls: four green, five black, nine blue, a brown, three red, and two white.
If  $$23$$ balls are removed from the bag at random,  what is the probability that a brown ball has been removed?
(A) $$\frac{23}{24}$$
(B) $$\frac{1}{24}$$
(C) $$\frac{1}{8}$$
(D) $$\frac{1}{6}$$
35- The average of five consecutive numbers is $$40$$. What is the smallest number?
(A) $$36$$
(B) $$40$$
(C) $$24$$
(D) $$38$$
36- How many tiles of $$16$$ cm$$^2$$ is needed to cover a floor of dimension $$8$$ cm by $$32$$ cm?
(A) $$18$$
(B) $$24$$
(C) $$16$$
(D) $$6$$
37- A rope weighs $$800$$ grams per meter of length. What is the weight in kilograms of $$14.4$$ meters of this rope? ($$1$$ kilograms = $$1000$$ grams)
(A) $$15.52$$ kg
(B) $$0.1152$$ kg
(C) $$11.52$$ kg
(D) $$1.152$$ kg
38- A chemical solution contains $$10$$% alcohol. If there are $$40$$ ml of alcohol, what is the volume of the solution?
(A) $$400$$
(B) $$40$$
(C) $$0.4$$
(D) $$0.04$$
39- The average weight of $$24$$ girls in a class is $$56$$ kg and the average weight of $$36$$ boys in the same class is $$68$$ kg.
What is the average weight of all the $$60$$ students in that class?
(A) $$61.28$$
(B) $$63.2$$
(C) $$66.4$$
(D) $$68.8$$
40- The price of a laptop is decreased by $$20\%$$ to $$$400$$. What is its original price? (A) $$450$$ (B) $$600$$ (C) $$500$$ (D) $$550$$ 41- What is the median of these numbers? $$10$$,$$20$$,$$14$$,$$3$$,$$11$$ (A) $$11$$ (B) $$14$$ (C) $$10$$ (D) $$20$$ 42- The radius of the following cylinder is $$14$$ inches and its height is $$18$$ inches. What is the surface area of the cylinder in square inches? (π equals $$3.14$$) (A) $$1406.72$$ (B) $$2613.34$$ (C) $$1513.44$$ (D) $$2813.44$$ 43- The average of $$13$$, $$15$$, $$22$$ and $$x$$ is $$24$$. What is the value of $$x$$? (A) $$22$$ (B) $$23$$ (C) $$44$$ (D) $$46$$ 44- The price of a shoe is decreased by $$50$$% to$$$720$$ What was its original price?
(A) $$360$$
(B) $$440$$
(C) $$1440$$
(D) $$1780$$
45- Which graph corresponds to the following inequalities?
$$y\leq\ x\ +\ 4$$
$$2\ x\ +\ y\leq -\ 4$$
(A) (B) (C) (D) 46- A bank is offering $$3$$% simple interest on a savings account. If you deposit $$$20000$$, how much interest will you earn in five years? (A) $$6000$$ (B) $$4000$$ (C) $$2000$$ (D) $$3000$$  1- Choice B is correct The correct answer is 286$$5 \ × \ 36 \ + \ 8 \ × \ 12 \ + \ 10 \ = \ 286$$ 2- Choice A is correct The correct answer is $$33$$Let x be the integer. Then:$$3\ x \ + \ 7 \ = \ 106$$reduce $$7$$ both sides: $$3\ x \ = \ 99$$Divide both sides by $$3$$: $$x \ = \ 33$$ 3- Choice B is correct The correct answer is $$(200) \ (0.90) \ (0.75)$$To find the discount, multiply the number by ($$100$$% – rate of discount).Therefore, for the first discount we get: $$(200) \ (100$$% $$– \ 10$$%) $$= \ (200) \ (0.90) \ = \ 180$$For the next $$25%$$ discount: $$(200) \ (0.90) \ (0.75)$$ 4- Choice D is correct The correct answer is $$(5 \ , \ 3)$$A. $$(4 , 1)$$ : $$3 \ (4) \ + \ 5 \ (1) \ = \ 17$$B. $$(3 , 2)$$ : $$3 \ (3) \ + \ 5 \ (2) \ = \ 19$$C. $$(4 , 3)$$ : $$3 \ (4) \ + \ 5 \ (3) \ = \ 27$$D. $$(5 , 3)$$ : $$3 \ (5) \ + \ 5 \ (3) \ = \ 30$$ 5- Choice D is correct The correct answer is $$-\ 25$$Use PEMDAS (order of operation):$$7 \ + \ 4 \ × \ (–\ 3) \ – \ [5 \ + \ 11 × \ 5] \ ÷ \ 3 \ = \ 7 \ + \ 4 \ × \ (–\ 3) \ – \ [4 \ + \ 55] \ ÷ \ 3 \ =$$$$7 \ + \ 4 \ × \ (–\ 3) \ – \  \ ÷ \ 3 \ = \ 7 \ + \ (-\ 12) \ – \ 20 \ = \ –\ 5 \ –\ 20 = –\ 25$$ 6- Choice D is correct The correct answer is $$30$$%Use this formula: Percent of Change$$\frac{New\ Value \ - \ Old \ Value}{Old \ Value}$$ $$× \ 100$$%$$\frac{21000 \ - \ 30000}{30000}$$ $$× \ 100$$% $$= \ 30$$% and $$\frac{14700 \ - \ 21000}{21000}$$ $$× \ 100$$% $$= \ 30$$% 7- Choice A is correct The correct answer is $$360$$If the length of the box is $$30$$, then the width of the box is one-fifth of it, $$6$$and the height of the box is $$2$$ (one-third of the width). The volume of the box is:V $$=$$ lwh $$=$$ $$(30) \ (6) \ (2) \ = \ 360$$ 8- Choice B is correct The correct answer is $$25$$%Write the equation and solve for B:$$0.20 \ A \ = \ 0.80 \ B$$, divide both sides by $$0.80$$, then:$$\frac{0.20}{0.80} A \ = \ B$$, therefore: $$B = \frac{1}{4} A$$, and $$B$$ is $$\frac{1}{4}$$ times of $$A$$ or it’s $$25$$% of $$A$$. 9- Choice D is correct The correct answer is $$70$$To find the number of possible outfit combinations, multiply the number of options for each factor:$$7 \ × \ 2 \ × \ 5 \ = \ 70$$ 10- Choice A is correct The correct answer is $$50$$ feet The relationship among all sides of special right triangle$$30^\circ\ -\ 60^\circ\ -\ 90^\circ$$ is provided in this triangle: In this triangle, the opposite side of $$30^\circ$$ angle is half of the hypotenuse. Draw the shape for this question: The latter is the hypotenuse. Therefore, the latter is $$50$$ ft. 11- Choice A is correct The correct answer is $$8$$Let $$x$$ be the number. Write the equation and solve for $$x$$.$$(48 \ – \ x) \ ÷ \ x \ = \ 5$$Multiply both sides by x. $$(48 \ – \ x) \ = \ 5\ x$$, then add x both sides:$$48 \ = \ 6\ x$$, now divide both sides by $$6$$:$$x \ = \ 8$$ 12- Choice D is correct The correct answer is $$36$$The sum of supplement angles is $$180$$ . Let $$x$$ be that angle.Therfore,($$x \ + \ 4\ x) \ = \ 180$$$$5\ x \ = \ 180$$, divide both sides by $$5$$: $$x \ = \ 36$$ 13- Choice B is correct The correct answer is $$2 \ : \ 3$$The average speed of john is: $$200 \ ÷ \ 5 \ = \ 40$$ kmThe average speed of Alice is: $$240 \ ÷ \ 4 \ = \ 60$$ kmWrite the ratio and simplify. $$40 \ : \ 60$$ ⇒ $$2 \ : \ 3$$ 14- Choice A is correct The correct answer is $$18\%$$The percent of girls playing tennis is: $$30\%$$ × $$60\%$$ = $$0.30$$ × $$0.60$$ = $$0.18$$ = $$18\%$$ 15- Choice D is correct The correct answer is $$0$$Solving Systems of Equations by Elimination$$2\ x \ - \ y \ = \ -\ 3$$$$4\ x \ + \ 2\ y \ = \ 6$$Multiply the first equation by $$2$$, then add it to the second equation.$$2\ (2\ x \ - \ y \ = -\ 3$$)$$4\ x \ + \ 2\ y \ = \ 6$$ $$⇒$$$$4\ x \ - \ 2\ y \ = -\ 6$$ $$4\ x \ + \ 2\ y \ = 6⇒8\ x = 0 ⇒ x = 0$$ 16- Choice A is correct The correct answer is $$310$$Add the first $$5$$ numbers. $$20$$ + $$45$$ + $$40$$ + $$35$$ + $$50$$ = $$190$$To find the distance traveled in the next $$2$$ hours, multiply the average by the number of hours. Distance = Average $$×$$ Rate = $$60$$ $$×$$ $$2$$ = $$120$$Add both numbers. $$120$$ + $$190$$ = $$310$$ 17- Choice A is correct The correct answer is $$6$$ hours and $$24$$ minutesUse the distance formula: Distance $$=$$ Rate $$×$$ time $$⇒$$ $$320$$ = $$50$$ $$×$$ T , divide both sides by $$50$$ . $$320$$ $$÷$$ $$50$$ $$=$$ T $$⇒$$ T $$=$$ $$6.4$$ hours.Change hours to minutes for the decimal part. $$0.4$$ hours $$=$$ $$0.4$$ $$×$$ $$60$$ $$=$$ $$24$$ minutes 18- Choice B is correct The correct answer is $$9899$$Smallest $$3$$–digit number is $$100$$ and biggest $$4$$–digit number is : $$9999$$ 19- Choice D is correct The correct answer is $$1024$$$$4^5$$ $$=$$ $$4$$ $$×$$ $$4$$ $$×$$ $$4$$ $$×$$ $$4$$ $$×$$ $$4$$ $$=$$ $$1024$$ 20- Choice C is correct The correct answer is $$5$$Use Pythagorean Theorem: $$a^2$$ $$+$$ $$b^2$$ $$=$$ $$c^2$$$$3^2$$ $$+$$ $$4^2$$ $$=$$ $$c^2$$ $$⇒$$ $$25$$ $$=$$ $$c^2$$ $$⇒$$ $$c$$ $$=$$ $$5$$ 21- Choice D 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 $$3$$$$800$$ $$÷$$ $$8$$ $$=$$ $$100$$ $$⇒$$ $$100$$ $$×$$ $$3$$ $$=$$ $$300$$ 22- Choice A is correct The correct answer is $$200$$Use percent formula$$:$$ Part $$=$$ $$\frac{percent}{100}$$ $$×$$ whole$$30$$ $$=$$ $$\frac{percent}{100}$$ $$×$$ $$15$$ $$⇒$$ $$30$$ $$=$$ $$\frac{percent × 15}{100}$$ multiply both sides by $$100$$$$3000$$ $$=$$ percent $$×$$ $$15$$, divide both sides by $$15$$percent $$=$$ $$200$$ 23- Choice D is correct The correct answer is $$260$$Therefore, the missing side (height) is $$=$$ $$64$$ $$-$$ $$18$$ $$-$$ $$12$$ $$-$$ $$14$$ $$=$$ $$20$$ Area of a trapezoid: A $$=\frac{1}{2} \ h \ (b_1 \ +\ b_2) = \frac{1}{2}\ (20)\ (12\ +\ 14) = 260$$ 24- Choice B is correct The correct answer is $$64$$Let $$x$$ be the number. Write the equation and solve for $$x$$$$\frac{2}{3}$$ $$×$$ $$24$$ $$=$$ $$\frac{1}{4}$$ . $$x$$ $$⇒$$ $$\frac{2 × 24}{3}$$ $$=$$ $$\frac{x}{4}$$use cross multiplication to solve for $$x$$.$$4$$ $$×$$ $$48$$ $$=$$ $$3\ x$$ $$⇒$$ $$192$$ $$=$$ $$3\ x$$ $$⇒$$ $$x$$ $$=$$ $$64$$ 25- Choice A is correct The correct answer is $$78$$% To find the discount, multiply the number by ($$100$$% – rate of discount).Therefore, for the first discount we get: (D) ($$100\% – (25)\%)$$= (D) ($$0.75) = (0.75$$ D)For increase of $$5\%: (0.75$$ D) ($$100\% \ + \ 5\%)= (0.75$$D) ($$1.05$$D) $$=0.78$$D $$= (78\%)$$of D 26- Choice C is correct The correct answer is $$14\ π$$Use the formula of area of circles.Area $$=$$ $$π$$$$r^2$$ $$⇒$$ $$49$$$$π$$ $$=$$ $$π$$$$r^2$$ $$⇒$$ $$49$$ $$=$$ $$r^2$$ $$⇒$$ $$r$$ $$=$$ $$7$$Radius of the circle is $$7$$. Now, use the circumference formula$$:$$Circumference$$=$$ $$2\ π\ r$$ $$=$$ $$2\ π\ (7)$$ $$=$$ $$14\ π$$ 27- Choice B is correct The correct answer is $$30$$%Use the formula for Percent of Change:Part $$=$$ $$\frac{New Value - Old Value}{Old Value}$$ $$×$$ $$100$$% $$\frac{35 - 50}{50}$$ $$×$$ $$100$$% $$=$$ $$-30$$% (negative sign here means that the new price is less than old price). 28- Choice B is correct The correct answer is: $$I >$$ $$1900\ x$$ $$+$$ $$25000$$Let $$x$$ be the number of years. Therefore, $$1900$$ per year equals $$1900x$$. starting from $$25000$$ annual salary means you should add that amount to $$1900x$$. Income more than that is:$$I >$$ $$1900\ x$$ $$+$$ $$25000$$ 29- Choice D is correct The correct answer is $$150$$The question is this: $$1.5$$ is what percent of $$1$$$$?$$Use percent formula:$$Part$$ $$=$$ $$\frac{percent}{100}$$ $$×$$ whole$$1.5$$ $$=$$ $$\frac{percent × 1 }{100}$$ $$⇒$$ $$150$$ $$=$$ percent $$×$$ 1 $$⇒$$ percent = $$\frac{150}{1}$$ = $$150$$ 30- Choice B is correct The correct answer is $$100$$Use the information provided in the question to draw the shape.Use Pythagorean Theorem: $$a^2$$ $$+$$ $$b^2$$ = $$c^2$$$$80^2$$ $$+$$ $$60^2$$ $$=$$ $$C^2$$ $$⇒$$ $$6400$$ $$+$$ $$3600$$ $$=$$ $$C^2$$ $$⇒$$ $$10000$$ $$=$$ $$C^2$$ $$⇒$$ $$C$$ $$=$$ $$100$$ 31- Choice B is correct The correct answer is $$6$$Some of prime numbers are: $$2$$, $$3$$, $$5$$, $$7$$, $$11$$, $$13$$Find the product of two consecutive prime numbers:$$2$$ $$×$$ $$3$$ = $$6$$ (bingo!)$$3$$ $$×$$ $$5$$ = $$15$$ (not in the options)$$13$$ $$×$$ $$11$$ $$=$$ $$143$$ (not in the options) 32- Choice A is correct The correct answer is $$26.2\%$$The question is this: $$620$$ is what percent of $$840$$ ?Use percent formula:$$Part$$ $$=$$ $$\frac{percent}{100}$$ $$×$$ whole$$620$$ $$=$$ $$\frac{percent}{100}$$ $$×$$ $$840$$ $$⇒$$ $$620$$ $$=$$ $$\frac{percent × 840}{100}$$ $$⇒$$ $$62000$$ $$=$$ percent $$×$$ $$840$$ $$⇒$$percent $$=$$ $$\frac{62000}{840}$$ $$=$$ $$73.8$$$$620$$ is $$73.8$$% of $$840$$. Therefore, the discount is: $$100$$% $$-$$ $$73.8$$% $$=$$ $$26.2$$% 33- Choice C is correct The correct answer is $$20$$If the score of Mia was $$80$$, therefore the score of Ava is $$40$$. Since the score of Emma was half that of Ava, therefore, the score of Emma is $$20$$. 34- Choice A is correct The correct answer is $$\frac{23}{24}$$If $$23$$ balls are removed from the bag at random, there will be one ball in the bag. The probability of choosing a brown ball is $$1$$ out of $$24$$. Therefore, the probability of not choosing a brown ball is $$23$$ out of $$24$$ and the probability of having not a brown ball after removing $$23$$ balls is the same. 35- Choice D is correct The correct answer is $$38$$Let $$x$$ be the smallest number. Then, these are the numbers:$$x$$ , $$x$$ $$+$$ $$1$$ , $$x$$ $$+$$ $$2$$ , $$x$$ $$+$$ $$3$$ , $$x$$ $$+$$ $$4$$average = $$\frac{sum \ of \ terms }{number \ of \ terms}$$ $$⇒$$ $$40$$ = $$\frac{sum \ of \ terms }{5}$$ $$⇒$$ $$40$$ = $$\frac{5\ x \ +\ 10 }{5}$$ $$⇒$$ $$200 = 5\ x+ 10 ⇒ 190 = 5\ x ⇒ x = 38$$ 36- Choice C is correct The correct answer is $$16$$The area of the floor is: $$8$$ cm × $$32$$ cm = $$256$$ cm$$^2$$The number of tiles needed = $$256$$ $$÷$$ $$16$$ = $$16$$ 37- Choice C is correct The correct answer is $$11.52$$ kgThe weight of $$14.4$$ meters of this rope is: $$14.4\ ×\ 800$$ $$= 11520$$g$$1$$ kg $$= 1000$$ g, therefore, $$11520$$ g $$÷\ 1000 = 11.52$$ kg 38- Choice A is correct The correct answer is $$400$$$$10$$% of the volume of the solution is alcohol. Let $$x$$ be the volume of the solution. Then: $$10$$% of $$x = 40$$ ml $$⇒$$ $$0.1\ x= 40$$ $$⇒$$ $$40$$ $$÷$$ $$0.1= 400$$ 39- Choice B is correct The correct answer is $$63.2$$average = $$\frac{sum \ of \ terms }{number \ of \ terms}$$The sum of the weight of all girls is: $$24$$ $$×$$ $$56$$ = $$1344$$The sum of the weight of all boys is: $$36$$ $$×$$ $$68$$ = $$2448$$ The sum of the weight of all students is: $$2448$$ $$+$$ $$1344$$ = $$3792$$average = $$\frac{3792 }{60}$$= = $$63.2$$ 40- Choice C is correct The correct answer is : $$500$$Let$$x$$ be the original price. If the price of a laptop is decreased by $$20$$% to$$$400$$, then:$$80$$% of $$x$$ = $$400$$ $$⇒$$ $$0.8\ x$$ = $$400$$ $$⇒$$ $$x$$ = $$400$$ $$÷$$ $$0.8$$ = $$500$$ 41- Choice A is correct The correct answer is : $$11$$Write the numbers in order:$$3$$,$$10$$,$$11$$,$$14$$,$$20$$Since we have $$5$$ numbers ($$5$$ is odd), then the median is the number in the middle, which is $$11$$. 42- Choice D is correct The correct answer is : $$2813.44$$Surface Area of a cylinder $$= 2\ π\ r \ (r \ + \ h)$$ ,The radius of the cylinder is $$14$$ inches and its height is $$18$$ inches. $$π$$ is about $$3.14$$. Then: Surface Area of a cylinder = $$( 2) \ (π) (14$$) ($$14 \ + \ 18) = 896 \ π = 2813.44$$ 43- Choice D is correct The correct answer is: $$46$$average = $$\frac{sum \ of \ terms}{number \ of\ terms}$$ $$⇒$$ $$24$$ $$=$$ $$\frac{13 + 15 + 22 + x}{4}$$ $$⇒$$ $$96$$ $$=$$ $$50 + x$$$$⇒$$ $$x =46$$ 44- Choice C is correct The correct answer is :$$1440$$Let $$x$$ be the original price. If the price of the shoe is decreased by $$50\%$$ to $$720$$, then:$$50$$% of $$x$$ $$=$$ $$720$$ ⇒ $$0.5\ x= 720$$ $$⇒$$ $$x$$ $$=$$ $$720\ ÷ \ 0.5= 1440$$ 45- Choice A is correct $$y\ ≤\ x\ +\ 4$$$$2\ x\ +\ y\ ≤\ -\ 4$$A.Point $$(–\ 4,\ –\ 4)$$ is in the solution section. Let’s check the point in both inequalities. $$–\ 4\ ≤\ –\ 4\ +\ 4$$, It works$$2\ (–\ 4)\ +\ (–\ 4)\ ≤\ –\ 4 ⇒ –\ 12\ ≤\ –\ 4$$, it works (this point works in both)B.Let’s choose this point $$(0,\ 0)$$ $$0\ ≤\ 0\ +\ 4$$, It works$$2\ (0)\ +\ (0)\ ≤\ –\ 4$$, That’s not true!C. Let’s choose this point $$(–\ 5,\ 0)$$ $$0\ ≤\ –\ 5\ +\ 4$$, That’s not true!D.Let’s choose this point $$(0,\ 5)$$ $$5\ ≤\ 0\ +\ 4$$, That’s not true! 46- Choice D is correct The correct answer is: $$3000$$Use simple interest formula:$$I =p\ r\ t$$($$I =$$interest, $$p =$$ principal, $$r =$$ rate, $$t =$$ time) $$I =$$ $$(20000)$$($$0.03)( 5)= 3000$$

### The Most Comprehensive GED Math Preparation Bundle

$79.99$34.99
56% Off*

Includes GED Math Prep Books, Workbooks, and Practice Tests

### Practice Test 1

Simulate test day with an official practice test. Then, score your test. The answers come with explanations so you can learn from your mistakes.

### Practice Test 2

Simulate test day with an official practice test. Then, score your test. The answers come with explanations so you can learn from your mistakes.

## More Articles

### 7th Grade GMAS Math Workbook

$18.99$12.99

### ATI TEAS 6 Math Study Guide 2020 – 2021

$20.99$15.99

### TSI Math for Beginners 2022

$24.99$14.99

### ASVAB Math for Beginners 2022

$44.99$24.99