 ## Full Length TABE Battery Math Practice Test

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 Complete TABE Battery Math Practice Test 3 Part 1 Mathematics Computation (Non-Calculator)   40 questions Total time: 24 Minutes 1- \cfrac{\begin{align}467\\- \ 126\end{align}}{} (A) $$341$$ (B) $$291$$ (C) $$367$$ (D) $$298$$ 2- $$1,314\ +\ 768=$$ (A) $$2,582$$ (B) $$2,082$$ (C) $$2,121$$ (D) $$2,141$$ 3- $$13\ ×\ 4=$$ (A) $$60$$ (B) $$49$$ (C) $$52$$ (D) $$58$$ 4- \cfrac{\begin{align} 2,524\\ - \ 472 \end{align}}{} (A) $$2,097$$ (B) $$2,052$$ (C) $$3,112$$ (D) $$2,612$$ 5- \cfrac{\begin{align}789\\+ \ 13 \end{align}}{} (A) $$834$$ (B) $$684$$ (C) $$789$$ (D) $$802$$ 6- \cfrac{\begin{align} 84.22\\ + \ 17.35 \end{align}}{} (A) $$102.65$$ (B) $$100.23$$ (C) $$103.18$$ (D) $$101.57$$ 7- \cfrac{\begin{align}132\\+ \ 6,645 \end{align}}{} (A) $$6,777$$ (B) $$6,073$$ (C) $$6,813$$ (D) $$7,213$$ 8- $$8,000\ ÷\ 200=$$ (A) $$45$$ (B) $$50$$ (C) $$60$$ (D) $$40$$ 9- \cfrac{\begin{align} 4.2\\ × \ 2.7 \end{align}}{} (A) $$11.34$$ (B) $$10.04$$ (C) $$12.94$$ (D) $$9.22$$ 10- $$540\ ÷\ 5=$$ (A) $$112$$ (B) $$115$$ (C) $$108$$ (D) $$125$$ 11- $$152 \ ÷\ 2 =$$ (A) $$66$$ (B) $$56$$ (C) $$96$$ (D) $$76$$ 12- $$\frac{4}{5}\ - \frac{1}{5}$$ (A) $$\frac{3}{5}$$ (B) $$\frac{2}{5}$$ (C) $$\frac{1}{5}$$ (D) $$\frac{1}{10}$$ 13- $$\frac{2}{5}\ +\ \frac{1}{5}$$ (A) $$\frac{4}{5}$$ (B) $$\frac{2}{10}$$ (C) $$\frac{3}{10}$$ (D) $$\frac{3}{5}$$ 14- $$43.12\ -\ 21.34=$$ (A) $$20.78$$ (B) $$22.32$$ (C) $$21.54$$ (D) $$21.78$$ 15- $$3,523\ -\ 1,690=$$ (A) $$1,824$$ (B) $$1,833$$ (C) $$1,762$$ (D) $$1,502$$ 16- $$4\ \frac{1}{3}\ +\ 7\ \frac{1}{2}$$ (A) $$13 \ \frac {5}{6}$$ (B) $$11 \ \frac {5}{6}$$ (C) $$11 \ \frac {4}{6}$$ (D) $$13 \ \frac {4}{6}$$ 17- $$\frac{5}{7}\ + \frac{2}{7}$$ (A) $$\frac{1}{7}$$ (B) $$\frac{3}{7}$$ (C) $$1$$ (D) $$0$$ 18- ____$$+\ 5.1=10.2$$ (A) $$5.9$$ (B) $$4.8$$ (C) $$5.1$$ (D) $$6.5$$ 19- $$13.6\ ÷\ 100=$$ (A) $$0.136$$ (B) $$1.36$$ (C) $$1036$$ (D) $$0.0136$$ 20- $$12.5 \ ÷\ 2.5 =$$ (A) $$5$$ (B) $$7$$ (C) $$10$$ (D) $$2.5$$ 21- $$2,601 \ ÷\ 9 =$$ (A) $$289$$ (B) $$218$$ (C) $$198$$ (D) $$202$$ 22- $$4\ \frac{1}{3}\ ×\ 4\ \frac{1}{5}$$ (A) $$15 \ \frac{1}{7}$$ (B) $$18 \ \frac{1}{5}$$ (C) $$10 \ \frac{7}{15}$$ (D) $$18 \ \frac{3}{8}$$ 23- $$4\ \frac{3}{5} \ ÷\ 2\ \frac{6}{10}$$ (A) $$1\ \frac{13}{10}$$ (B) $$\frac{13}{10}$$ (C) $$\frac{10}{13}$$ (D) $$1\ \frac{10}{13}$$ 24- $$19 \ –\ (\ –\ 11)$$ (A) $$24$$ (B) $$27$$ (C) $$29$$ (D) $$30$$ 25- $$4\%$$ of  $$32=$$ (A) $$1.24$$ (B) $$1.28$$ (C) $$2.25$$ (D) $$2.12$$ 26- $$4\ \frac{3}{5}\ -\ 2 \ \frac{2}{5}$$ (A) $$1 \ \frac{1}{5}$$ (B) $$2 \ \frac{1}{5}$$ (C) $$3 \ \frac{1}{5}$$ (D) $$4 \ \frac{1}{5}$$ 27- $$4\%$$ of  $$43=$$ (A) $$1$$ (B) $$1.25$$ (C) $$1.28$$ (D) $$1.5$$ 28- $$\frac{3}{7}\ ×\ \frac{2}{3}$$ (A) $$\frac{3}{7}$$ (B) $$1 \ \frac{2}{7}$$ (C) $$\frac{2}{7}$$ (D) $$\frac{4}{7}$$ 29- ___$$\%$$ of $$50 = 15$$ (A) $$25\%$$ (B) $$30\%$$ (C) $$35\%$$ (D) $$45\%$$ 30- $$5\ \frac{2}{3}\ -\ \frac{3}{4}$$ (A) $$4 \ \frac{11}{12}$$ (B) $$3 \ \frac{11}{12}$$ (C) $$2 \ \frac{11}{12}$$ (D) $$\frac{11}{12}$$ 31- $$13\ 𝑎\ 𝑏 \ –\ 4\ 𝑎\ 𝑏$$ (A) $$7 \ a\ b$$ (B) $$8 \ a\ b$$ (C) $$9\ a\ b$$ (D) $$12\ a\ b$$ 32- $$\frac{3}{8}\ ÷\ \frac{1}{12}$$ (A) $$\frac{11}{2}$$ (B) $$\frac{13}{2}$$ (C) $$\frac{7}{2}$$ (D) $$\frac{9}{2}$$ 33- $$9\ x\ +\ 3\ x=$$ (A) $$12 \ x$$ (B) $$7 \ x$$ (C) $$15 \ x$$ (D) $$10 \ x$$ 34- $$11\ ×\ (−\ 3)=$$ (A) $$-\ 30$$ (B) $$-\ 25$$ (C) $$-\ 33$$ (D) $$-\ 27$$ 35- $$9\ 𝑎\ 𝑏\ −\ 3\ 𝑎\ 𝑏=$$ (A) $$4\ a\ b$$ (B) $$6\ a\ b$$ (C) $$8\ a\ b$$ (D) $$10\ a\ b$$ 36- $$3^9\ ×\ 3^{11}=$$ (A) $$9^{20}$$ (B) $$9^{12}$$ (C) $$9^{15}$$ (D) $$9^{24}$$ 37- $$−\ 3\ +\ 9\ +\ 3=$$ (A) $$9$$ (B) $$6$$ (C) $$7$$ (D) $$8$$ 38- $$12\%$$ of ___ $$= 81$$ (A) $$675$$ (B) $$650$$ (C) $$750$$ (D) $$780$$ 39- $$3^5\ ×\ 3^6=$$ (A) $$3^{11}$$ (B) $$3^{9}$$ (C) $$2^{7}$$ (D) $$3^{5}$$ 40- $$50\%$$ of $$28=$$ (A) $$14$$ (B) $$15$$ (C) $$12$$ (D) $$10$$ Complete TABE Battery Math Practice Test 3 Part 2 Applied Mathematics   (Calculator)   50 questions Total time: 55 Minutes 41- The sum of two numbers is N. if one of the numbers is $$5$$, then four times the other number would be what? (A) $$5\ (N \ -\ 4)$$ (B) $$5\ (N \ +\ 4)$$ (C) $$4\ (N \ -\ 5)$$ (D) $$4\ (N \ +\ 5)$$ 42- If $$4\ x\ −\ 8=8.5$$, What is the value of $$6\ x\ +\ 2$$ ? (A) $$24.75$$ (B) $$24.25$$ (C) $$26.75$$ (D) $$26.25$$ 43- The price of a sofa is decreased by $$15\%$$ to $$459$$. What was its original price? (A) $$560$$ (B) $$490$$ (C) $$540$$ (D) $$580$$ 44- Which of the following points lies on the line with equation $$3\ x\ +\ 5\ y=7$$ ? (A) $$(2,1)$$ (B) $$(-\ 1,2)$$ (C) $$(-\ 2,-\ 2)$$ (D) $$( 2,2)$$ 45- A writer finishes $$150$$ pages of his manuscript in $$15$$ hours. How many pages is his average? (A) $$13$$ (B) $$12$$ (C) $$15$$ (D) $$10$$ 46- What is the area of an isosceles right triangle that has one leg that measures $$8$$ cm? (A) $$32$$ cm$$^2$$ (B) $$28$$ cm$$^2$$ (C) $$36$$ cm$$^2$$ (D) $$25$$ cm$$^2$$ 47- The average of $$15\ , 18\ , 23$$ and $$x$$ is $$15$$. What is the value of $$x$$? (A) $$12$$ (B) $$8$$ (C) $$6$$ (D) $$4$$ 48- John traveled $$120$$ km in $$4$$ hours and Alice traveled $$180$$ km in $$5$$ hours. What is the ratio of the average speed of John to average speed of Alice? (A) $$5:6$$ (B) $$5:9$$ (C) $$9:5$$ (D) $$6:5$$ 49- Which of the following fractions is the largest? (A) $$\frac{3}{4}$$ (B) $$\frac{2}{5}$$ (C) $$\frac{7}{9}$$ (D) $$\frac{2}{3}$$ 50- Find the average of the following numbers: $$15\ , \ 16\ , \ 9\ , \ 20\ , 25$$ (A) $$17$$ (B) $$15$$ (C) $$19$$ (D) $$13$$ 51- A shirt costing $$400$$ is discounted $$30\%$$. After a month, the shirt is discounted another $$15\%$$. Which of the following expressions can be used to find the selling price of the shirt? (A) $$(400) \ (0.75)\ (0.85)$$ (B) $$(400) \ - \ (0.75)\ (0.85)$$ (C) $$(400) \ (0.70)\ (0.85)$$ (D) $$(400) \ (0.70)\ - \ (400) \ (0.85)$$ 52- Right triangle ABC has two legs of lengths $$9$$ cm (AB) and $$12$$ cm (AC). What is the length of the third side (BC)? (A) $$12$$ cm (B) $$18$$ cm (C) $$13$$ cm (D) $$15$$ cm 53- The price of a car was $$20,000$$ in $$2014, 16,000$$ in $$2015$$ and $$12,800$$ in $$2016$$. What is the rate of depreciation of the price of car per year? (A) $$25\%$$ (B) $$32\%$$ (C) $$18\%$$ (D) $$20\%$$ 54- A taxi driver earns $$9$$ per $$1$$-hour work. If he works $$10$$ hours a day and in $$1$$ hour he uses $$2$$-liters petrol with price $$1$$ for $$1$$-liter. How much money does he earn in one day? 55- How long does a $$420$$–miles trip take moving at $$50$$ miles per hour (mph)? (A) $$4$$ hours (B) $$8$$ hours and $$24$$ minutes (C) $$6$$ hours and $$24$$ minutes (D) $$8$$ hours and $$30$$ minutes 56- If $$35 \%$$ of a class are girls, and $$40 \%$$ of girls play tennis, what percent of the class play tennis? (A) $$12\%$$ (B) $$14\%$$ (C) $$17\%$$ (D) $$10\%$$ 57- When a number is subtracted from $$36$$ and the difference is divided by that number, the result is $$2$$. What is the value of the number? (A) $$12$$ (B) $$15$$ (C) $$18$$ (D) $$13$$ 58- A taxi driver earns $$8$$ per $$1-$$hour work. If he works $$10$$ hours a day and in $$1$$ hour he uses $$2.5-$$liters petrol with price $$1.2$$ for $$1-$$liter. How much money does he earn in one day? (A) $$43$$ (B) $$65$$ (C) $$50$$ (D) $$72$$ 59- How many possible outfit combinations come from four shirts, two slacks, and five ties? (A) $$50$$ (B) $$60$$ (C) $$40$$ (D) $$30$$ 60- An angle is equal to one seventh of its supplement. What is the measure of that angle? (A) $$25$$ (B) $$22.75$$ (C) $$22.5$$ (D) $$21$$ 61- What is the value of $$y$$ in the following system of equation?$$2\ x\ −\ 4\ y\ = −\ 20\\ −\ x\ +\ 4\ y\ = 10$$ (A) $$10$$ (B) $$1$$ (C) $$0$$ (D) $$- \ 10$$ 62- $$25$$ is What percent of $$50$$? (A) $$25\%$$ (B) $$50\%$$ (C) $$75\%$$ (D) $$20\%$$ 63- The perimeter of the trapezoid below is $$54$$. What is its area? (A) $$189$$ cm$$^2$$ (B) $$142$$ cm$$^2$$ (C) $$162$$ cm$$^2$$ (D) $$150$$ cm$$^2$$ 64- A bank is offering $$3.5\%$$ simple interest on a savings account. If you deposit $$5,000$$,how much interest will you earn in four years? (A) $$500$$ (B) $$600$$ (C) $$700$$ (D) $$800$$ 65- The width of a box is one third of its length. The height of the box is one third of its width. If the length of the box is $$36$$ cm, what is the volume of the box? (A) $$1,728$$ cm$$^3$$ (B) $$1,543$$ cm$$^3$$ (C) $$1,904$$ cm$$^3$$ (D) $$1,861$$ cm$$^3$$ 66- In the $$xy$$-plane, the point $$(4,3)$$ and $$(3,2)$$ are on line A. Which of the following points could also be on line A? (A) $$(-\ 1,2)$$ (B) $$(5,7)$$ (C) $$(3,4)$$ (D) $$(-\ 1 , -\ 2)$$ 67- The marked price of a computer is D dollar. Its price decreased by $$30\%$$ in January and later increased by $$10 \%$$ in February. What is the final price of the computer in D dollar? (A) $$0.70$$ D (B) $$0.88$$ D (C) $$0.77$$ D (D) $$0.80$$ D 68- The area of a circle is less than $$81\ π$$. Which of the following can be the circumference of the circle? (Select one or more answer choices) (A) $$16\ π$$ (B) $$19\ π$$ (C) $$24 \ π$$ (D) $$32 \ π$$ 69- If $$50\%$$ of A is $$25\%$$ of B, then B is what percent of A? (A) $$300\%$$ (B) $$350\%$$ (C) $$250\%$$ (D) $$200\%$$ 70- What is the value of $$5^4$$ ? (A) $$1,125$$ (B) $$425$$ (C) $$625$$ (D) $$1,225$$ 71- In five successive hours, a car travels $$20$$ km, $$25$$ km, $$50$$ km, $$15$$ km and $$35$$ km. In the next five hours, it travels with an average speed of $$35$$ km per hour. Find the total distance the car traveled in $$10$$ hours. (A) $$300$$ km (B) $$280$$ km (C) $$189$$ km (D) $$320$$ km 72- Sophia purchased a sofa for $$530.40$$. The sofa is regularly priced at $$624$$. What was the percent discount Sophia received on the sofa? (A) $$25\%$$ (B) $$20\%$$ (C) $$10\%$$ (D) $$15\%$$ 73- The average of five consecutive numbers is $$45$$. What is the smallest number? (A) $$45$$ (B) $$47$$ (C) $$43$$ (D) $$41$$ 74- The average weight of $$15$$ girls in a class is $$49$$ kg and the average weight of $$30$$ boys in the same class is $$44$$ kg. What is the average weight of all the $$30$$ students in that class? (A) $$69$$ (B) $$58$$ (C) $$68.5$$ (D) $$73.5$$ 75- What is the median of these numbers? $$4\ , 10\ , 13\ , 8\ , 15\ , 18\ , 5$$ (A) $$13$$ (B) $$18$$ (C) $$8$$ (D) $$10$$ 76- Which graph corresponds to the following inequalities?$$y \leq \ x\ + \ 4\\ 2\ x\ +\ y \leq -\ 4$$ (A) (B) (C) (D) 77- A chemical solution contains $$2\%$$ alcohol. If there is $$36$$ ml of alcohol, what is the volume of the solution? (A) $$1,800$$ ml (B) $$900$$ ml (C) $$1,200$$ ml (D) $$1,500$$ ml 78- Which of the following could be the product of two consecutive prime numbers? (A) $$2$$ (B) $$10$$ (C) $$14$$ (D) $$15$$ 79- How many tiles of $$9$$ cm$$^2$$ is needed to cover a floor of dimension $$9$$ cm by $$30$$ cm? (A) $$30$$ (B) $$27$$ (C) $$24$$ (D) $$21$$ 80- Two third of $$27$$ is equal to $$\frac{4}{3}$$ of what number? (A) $$13.5$$ (B) $$11$$ (C) $$15$$ (D) $$16.5$$ 81- A $$40$$ shirt now selling for $$28$$ is discounted by what percent? (A) $$25\%$$ (B) $$28\%$$ (C) $$30\%$$ (D) $$36\%$$ 82- A rope weighs $$500$$ grams per meter of length. What is the weight in kilograms of $$10.4$$ meters of this rope? ($$1$$ kilograms $$= 1000$$ grams) (A) $$5.5$$ kg (B) $$6.5$$ kg (C) $$5.2$$ kg (D) $$4.5$$ kg 83- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was $$48$$, what is the score of Emma? (A) $$15$$ (B) $$12$$ (C) $$18$$ (D) $$24$$ 84- The radius of the following cylinder is $$7$$ inches and its height is $$13$$ inches. What is the surface area of the cylinder in square inches? (A) $$879.2$$ (B) $$1301.6$$ (C) $$917.8$$ (D) $$724.5$$ 85- The ratio of boys to girls in a school is $$3:5$$. If there are $$480$$ students in a school, how many boys are in the school. (A) $$280$$ (B) $$200$$ (C) $$180$$ (D) $$150$$ 86- From last year, the price of gasoline has increased from $$1.20$$ per gallon to $$1.45$$ per gallon.The new price is what percent of the original price? (A) $$116\%$$ (B) $$124\%$$ (C) $$132\%$$ (D) $$110\%$$ 87- A boat sails $$40$$ miles south and then $$30$$ miles east. How far is the boat from its start point? (A) $$40$$ miles (B) $$50$$ miles (C) $$60$$ miles (D) $$70$$ miles 88- In $$1999$$, the average worker's income increased $$2,000$$ per year starting from $$24,000$$ annual salary. Which equation represents income greater than average? (𝐼 = income, $$x$$ = number of years after $$1999$$) (A) $$𝐼 > 2000 \ x\ + \ 24000$$ (B) $$𝐼 >-\ 2000 \ x\ + \ 24000$$ (C) $$𝐼 \lt -\ 2000 \ x\ + \ 24000$$ (D) $$𝐼 \lt 2000 \ x\ - \ 24000$$ 89- A bag contains $$18$$ balls: two green, five black, eight blue, a brown, a red and one white. If $$17$$ balls are removed from the bag at random, what is the probability that a brown ball has been removed? (A) $$\frac{1}{9}$$ (B) $$\frac{1}{18}$$ (C) $$\frac{17}{18}$$ (D) $$\frac{17}{9}$$ 90- The price of a laptop is decreased by $$15\%$$ to $$255$$. What is its original price? (A) $$300$$ (B) $$200$$ (C) $$250$$ (D) $$280$$
 1- Choice A is correct The correct answer is $$341$$$$467 \ – \ 126 = 341$$ 2- Choice B is correct The correct answer is $$2,082$$$$1,314\ +\ 768=2,082$$ 3- Choice C is correct The correct answer is $$52$$$$123 \ ×\ 4= 52$$ 4- Choice B is correct The correct answer is $$2,052$$\cfrac{\begin{align} 2,519\\ - \ 422 \end{align}}{2,052} 5- Choice D is correct The correct answer is $$802$$\cfrac{\begin{align}789\\+ \ 13 \end{align}}{802} 6- Choice D is correct Thecorrect answer is $$101.57$$\cfrac{\begin{align} 84.22\\ + \ 17.35 \end{align}}{101.57} 7- Choice A is correct The correct answer is $$6,777$$\cfrac{\begin{align}132 \\+ \ 6,645 \end{align}}{6,777} 8- Choice D is correct The correct answer is $$40$$$$9,000\ ÷\ 200=40$$ 9- Choice A is correct The correct answer is $$11.34$$\cfrac{\begin{align}4.2\\ ×\ 2.7 \end{align}}{11.34} 10- Choice C is correct The correct answer is $$108$$$$540\ ÷\ 5=108$$ 11- Choice D is correct The correct answer is $$76$$$$152 \ ÷\ 2 =76$$ 12- Choice A is correct The correct answer is $$\frac{3}{5}$$$$\frac{4}{5}\ - \frac{1}{5}= \frac{3}{5}$$ 13- Choice D is correct Thecorrect  answer is $$\frac{3}{5}$$$$\frac{2}{5}\ +\ \frac{1}{5}=\frac{3}{5}$$ 14- Choice D is correct The correct answer is $$21.78$$$$43.12\ -\ 21.34=21.78$$ 15- Choice B is correct The correct answer is $$1,833$$$$3,523 \ -\ 1,690= 1,833$$ 16- Choice B is correct The correct answer is $$11 \ \frac {5}{6}$$$$4\ \frac{1}{3}\ +\ 7\ \frac{1}{2}= 11 \ \frac {5}{6}$$ 17- Choice C is correct The correct answer is $$1$$$$\frac{5}{7}\ + \frac{2}{7}=1$$ 18- Choice C is correct The corrcet answer is $$5.1$$$$5.1 \ +\ 5.1=10.2$$ 19- Choice A is correct The correct answer is $$0.136$$$$13.6\ ÷\ 100=0.136$$ 20- Choice A is correct The correct answer is $$5$$$$12.5 \ ÷\ 2.5 =5$$ 21- Choice A is correct The correct answer is $$289$$$$2,601 \ ÷\ 9 =289$$ 22- Choice B is correct The correct answer is $$18 \ \frac{1}{5}$$$$4\ \frac{1}{3}\ ×\ 4\ \frac{1}{5}=\frac{13}{3} \ ×\ \frac{21}{5}=\frac{273}{15}= 18 \ \frac{1}{5}$$ 23- Choice D is correct The correct answer is $$1\ \frac{10}{13}$$$$4\ \frac{3}{5} \ ÷\ 2\ \frac{6}{10}$$$$=\frac{23}{5} \ ÷\ \frac{13}{10}=\frac{ 115}{65}= 1\ \frac{10}{13}$$ 24- Choice D is correct The correct answer is $$30$$$$19 \ –\ (\ –\ 11)= 19\ +\ 11= 30$$ 25- Choice B is correct The correct answer is $$1.28$$$$4\%$$ of  $$32=0.04 \ ×\ 32 =1.28$$ 26- Choice B is correct The correct answer is $$2 \ \frac{1}{5}$$$$4\ \frac{3}{5}\ -\ 2 \ \frac{2}{5}= 4\ +\ \frac{3}{5}\ -\ 2\ -\ \frac{2}{5} =2 \ \frac{1}{5}$$ 27- Choice C is correct The correct answer is $$1.28$$$$4\%$$ of  $$32=0.04 \ ×\ 32=1.28$$ 28- Choice C is correct The correct answer is $$\frac{2}{7}$$$$\frac{3}{7}\ ×\ \frac{2}{3}=\frac{6}{21}= \frac{2}{7}$$ 29- Choice B is correct The correct answer is $$30\%$$$$30\%$$ of $$50 = 15$$ 30- Choice A is correct The correct answer is $$4 \ \frac{11}{12}$$$$5\ \frac{2}{3}\ -\ \frac{3}{4} = 4 \ \frac{11}{12}$$ 31- Choice C is correct The correct answer is $$9\ a\ b$$$$13\ 𝑎\ 𝑏 \ –\ 4\ 𝑎\ 𝑏= 9\ a\ b$$ 32- Choice D is correct The corrcet answer is $$\frac{9}{2}$$$$\frac{3}{8}\ ÷\ \frac{1}{12}=\frac{9}{2}$$ 33- Choice A is correct The correct answer is $$12 \ x$$$$9\ x\ +\ 3\ x=12 \ x$$ 34- Choice C is correct The correct answer is $$-\ 33$$$$11\ ×\ (−\ 3)=-\ 33$$ 35- Choice B is correct The correct answer is $$6\ a\ b$$$$9\ 𝑎\ 𝑏\ −\ 3\ 𝑎𝑏=6\ a\ b$$ 36- Choice A is correct The correct answer is $$9^{ \ 20}$$$$3^9\ ×\ 3^{11}= 3^{ \ 9 \ + \ 11}=3^{ \ 20}$$ 37- Choice A is correct The correct answer is $$9$$$$−\ 3\ +\ 9\ +\ 3=9$$ 38- Choice A is correct The corrcet answer is $$675$$$$12\%$$ of ___ $$= 81$$$$\frac{12}{100}\ ×\ x = 81$$$$\frac{12\ x}{100}=81$$$$x=\frac{8,100}{12}=675$$ 39- Choice A is correct The correct answer is $$3^{11}$$$$3^5\ ×\ 3^6=3^{5 \ + \ 6}=3^{11}$$ 40- Choice A is correct The correct answer is $$14$$$$50\%$$ of $$28=0.5 \ ×\ 28 =14$$ 40- Choice A is correct The correct answer is $$14$$$$50\%$$ of $$28=0.5 \ ×\ 28 =14$$ 41- Choice C is correct The corrcet answer is $$4\ (N \ -\ 5)$$$$x \ +\ y = N → x = 5 → 5 \ +\ y = N → y = N \ –\ 5 → 4\ y\ = 4\ (N \ –\ 5)$$ 42- Choice C is correct The corrcet answer is $$26.75$$$$4\ x\ -\ 8=8.5→4x=8.5\ +\ 8=16.5→x=\frac{16.5}{4}=4.125$$ Then; $$6\ x\ +\ 2=6\ (4.125)\ +\ 2=24.75\ +\ 2=26.75$$ 43- Choice C is correct The corrcet answer is $$540$$Let $$x$$ be the original price.If the price of the sofa is decreased by $$15\%$$ to $$459$$, then:$$85\%$$ of $$x=459 ⇒ 0.85\ x\ =459 ⇒ x=459\ ÷\ 0.85=540$$ 44- Choice B is correct The corrcet answer is $$(-\ 1, 2)$$Plug in each pair of numbers in the equation: $$3\ x\ +\ 5\ y\ =7$$1. $$(2, 1):\ 3 \ (2) \ +\ 5\ (1) = 11$$2. $$(–\ 1, 2):\ 3 \ (–\ 1) \ +\ 5\ (2) = 7$$3. $$(–\ 2, 2):\ 3 \ (–\ 2) \ + \ 5\ (2) = 4$$4. $$(2, 2): \ 3 \ (2)\ +\ 5\ (2) = 16$$Choice $$2$$ is correct. 45- Choice D is correct The corrcet answer is $$10$$$$150\ ÷ \ 15 = 10$$ 46- Choice A is correct The corrcet answer is $$32$$ cm$$^2$$First draw an isosceles triangle. Remember that two sides of the triangle are equal. Let put $$a$$ for the legs. Then:$$a=9⇒$$ area of the triangle is $$=\frac{1}{2} \ (8\ ×\ 8)=\frac{64}{2}=32$$ cm$$^2$$ 47- Choice D is correct The corrcet answer is $$4$$average $$= \frac{sum \ of\ terms} {number \ of\ terms} ⇒ 15 =\frac {15\ +\ 18\ +\ 23\ +\ x}{4} ⇒60 = 56 \ +\ x ⇒ x = 4$$ 48- Choice A is correct The corrcet answer is $$5:6$$The average speed of john is: $$120 \ ÷\ 4 = 30$$ kmThe average speed of Alice is: $$180 \ ÷\ 5= 36$$ kmWrite the ratio and simplify. $$30 : 36 ⇒ 5 : 6$$ 49- Choice C is correct The corrcet answer is $$\frac{7}{9}$$A.$$\frac{3}{4} = 0.75$$B.$$\frac{2}{5} = 0.4$$C.$$\frac{7}{9} = 0.77$$D.$$\frac{2}{3} = 0.66$$ 50- Choice A is correct The corrcet answer is $$17$$$$\frac{15\ +\ 16\ +\ 9\ +\ 20\ +\ 25}{5} =\frac{ 80}{5} = 17$$ 51- Choice C is correct The corrcet answer is $$(400) \ (0.70)\ (0.85)$$To find the discount, multiply the number by $$(100\% \ –$$ rate of discount).Therefore, for the first discount we get: $$(400) \ (100\%\ –\ 30\%) = (400) \ (0.70)$$ For the next $$15 \%$$ discount: $$(400) \ (0.70)\ (0.85)$$ 52- Choice D is correct The corrcet answer is $$15$$ cmUse Pythagorean Theorem: $$a^2\ +\ b^2=c^2$$$$9^2 \ +\ 12^2 = c^2 ⇒ 81\ +\ 144=c^2 ⇒ 225=c^2⇒c=15$$ 53- Choice D is correct The corrcet answer is $$20\%$$Use this formula: Percent of Change: $$\frac{New\ Value\ -\ Old \ Value}{Old \ Value} \ ×\ 100 \%$$$$\frac{16000\ -\ 20000}{20000}\ ×\ 100\% = 20\%$$ and $$\frac{12800\ -\ 16000}{16000} \ ×\ 100 \% = 20 \%$$ 53- Choice D is correct The corrcet answer is $$20\%$$Use this formula: Percent of Change: $$\frac{New\ Value\ -\ Old \ Value}{Old \ Value} \ ×\ 100 \%$$$$\frac{16000\ -\ 20000}{20000}\ ×\ 100\% = 20\%$$ and $$\frac{12800\ -\ 16000}{16000} \ ×\ 100 \% = 20 \%$$ 55- Choice B is correct The corrcet answer is $$8$$ hours and $$24$$ minutesUse distance formula: Distance $$=$$ Rate $$×$$ time $$⇒ 420 = 50\ ×\$$ T, divide both sides by $$50.\frac{ 420 }{ 50} =$$ T $$⇒$$ T $$= 8.4$$ hours. Change hours to minutes for the decimal part. $$0.4$$ hours $$= 0.4 \ ×\ 60 = 24$$ minutes. 56- Choice B is correct The corrcet answer is $$14\%$$The percent of girls playing tennis is: $$35 \% \ ×\ 40 \% = 0.35 \ ×\ 0.40 = 0.14 = 14 \%$$ 57- Choice D is correct The corrcet answer is $$13$$Let $$x$$ be the number. Write the equation and solve for $$x$$. $$(36\ –\ x) \ ÷\ x = 2$$, Multiply both sides by . $$(36\ –\ x) = 2\ x$$, then add $$x$$ both sides.$$36 = 3\ x$$, now divide both sides by $$3. \ x = 13$$ 58- Choice C is correct The corrcet answer is $$50$$$$8 \ ×\ 10=80 →$$ Petrol use: $$10\ ×\ 2.5=25$$ liters $$→$$ Petrol cost: $$25\ ×\ 1.2=30$$Money earned: $$80\ -\ 30=50$$ 59- Choice C is correct The corrcet answer is $$40$$To find the number of possible outfit combinations, multiply number of options for each factor:$$4 \ ×\ 2 \ ×\ 5 = 40$$ 60- Choice C is correct The corrcet answer is $$22.5$$The sum of supplement angles is $$180$$.Let $$x$$ be that angle. Therefore, $$x \ +\ 7\ x = 180$$$$8\ x = 180$$, divide both sides by $$8: \ x = 22.5$$ 61- Choice C is correct The correct answer is $$0$$Solving Systems of Equations by Elimination\cfrac{\begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ - \ x \ + \ 4 \ y \ = \ 10 \end{align}}{}⇒ Multiply the second equation by $$3$$, then add it to the first e26quation.\cfrac{\begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ 2 \ ( \ - \ x \ + \ 4 \ y \ = \ 10) \end{align}}{} ⇒  \cfrac{ \begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ - \ 2 \ x \ + \ 8 \ y \ = \ 20 \end{align} }{\begin{align} 6\ y \ = 0 \\ ⇒ y \ =0 \end{align}} 62- Choice B is correct The corrcet answer is $$50\%$$Use percent formula: part $$=\frac{ percent}{100} \ ×$$ whole$$25 =\frac{ percent}{100} \ ×\ 50 ⇒ 25 =\frac{ percent \ ×\ 50}{100} ⇒ 25 = \frac{percent \ ×\ 5}{10}$$, multiply both sides by $$10$$.$$250 =$$ percent $$\ ×\ 5$$, divide both sides by $$5$$. $$50 =$$ percent 63- Choice A is correct The corrcet answer is $$189$$ cm$$^2$$The perimeter of the trapezoid is $$54$$. Therefore, the missing side (height) is $$= 54 \ –\ 15 \ –\ 12 \ –\ 9 = 18$$Area of a trapezoid: A $$= \frac{1}{2}\ h \ (b_1 \ + \ b_2) = \frac{1}{2} \ (18)\ (12 \ +\ 9) = 189$$ 64- Choice C is correct The corrcet answer is $$700$$Use simple interest formula:$$I=prt$$($$I=$$ nterest,$$p=$$ principal,$$r=$$ rate,$$t=$$ time)$$I=(5,000)\ (0.035)\ (4)=700$$ 65- Choice A is correct The corrcet answer is $$1,728$$ cm$$^3$$If the length of the box is $$36$$, then the width of the box is one third of it, $$12$$, and the height of the box is $$4$$ (one third of the width).The volume of the box is:$$V = lwh = (36)\ (12)\ (4) = 1,728$$ 66- Choice D is correct The correct answer is $$(-\ 1, -\ 2)$$The equation of a line is in the form of $$y=m\ x\ +\ b$$, where $$m$$ is the slope of the line and b is the $$y$$-intercept of the line. Two points $$(4,3)$$ and $$(3,2)$$ are on line A. Therefore, the slope of the line A is:slope of line A$$=\frac{y_2\ -\ y_1}{x_2 \ -\ x_1} = \frac{2\ -\ 3}{3\ -\ 4}=\frac{-\ 1}{- \ 1}=1$$The slope of line A is $$1$$. Thus, the formula of the line A is: $$y=m\ x\ +\ b=x\ +\ b$$, choose a point and plug in the values of $$x$$ and $$y$$ in the equation to solve for b. Let’s choose point $$(4, 3)$$. Then: $$y=x\ +\ b→3\ =\ 4\ +\ b→b=3\ -\ 4=- \ 1$$The equation of line A is: $$y=x\ -\ 1$$Now, let’s review the choices provided:A.$$(-\ 1,2)$$          $$y=x\ -\ 1→2=-\ 1\ -\ 1=-\ 2$$            This is not true.B.$$(5,7)$$              $$y=x\ -\ 1→7=5\ - \ 1=4$$                   This is not true.C.$$(3,4)$$              $$y=x\ -\ 1→4=3\ -\ 1=2$$                    This is not true. D.$$(-\ 1,-\ 2)$$      $$y=x\ -\ 1→-\ 2=-\ 1\ -\ 1=- \ 2$$       This is true! 67- Choice C is correct The corrcet answer is $$0.77$$ DTo find the discount, multiply the number by $$(100\% –$$ rate of discount).Therefore, for the first discount we get: (D) $$(100\% \ –\ 30\%) =$$ (D) $$(0.70) = 0.70$$ DFor increase of $$10 \%: (0.70$$ D) $$(100\% \ +\ 10\%) = (0.70$$ D) $$(1.10) = 0.77$$ D $$=77\%$$ of D 68- Choice A is correct The corrcet answer is $$16\ π$$Area of the circle is less than $$81\ π$$.Use the formula of areas of circles. Area $$= π\ r^2 ⇒ 81 \ π> π\ r^2⇒ 81 > r^2⇒ r < 9$$Radius of the circle is less than $$9$$. Let’s put $$9$$ for the radius. Now, use the circumference formula: Circumference $$=2\ π\ r=2\ π \ (9)=18\ π$$Since the radius of the circle is less than $$9$$.Then, the circumference of the circle must be less than $$18 \ π$$.Only choice A is less than $$18\ π$$. 69- Choice D is correct The corrcet answer is $$200\%$$Write the equation and solve for B: $$0.50$$ A $$= 0.25$$ B, divide both sides by $$0.25$$, then:$$\frac{0.50}{0.25}$$ A = B, therefore: B $$= 2$$ A, and B is $$2$$ times of A or it’s $$200\%$$ of A. 70- Choice C is correct The corrcet answer is $$625$$$$5^4 = 5\ ×\ 5 \ ×\ 5 \ ×\ 5 = 625$$ 71- Choice D is correct The corrcet answer is $$320$$ kmAdd the first $$5$$ numbers. $$20 \ +\ 25\ +\ 50 \ +\ 15 \ +\ 35 = 145$$To find the distance traveled in the next $$5$$ hours, multiply the average by number of hours.Distance $$=$$ Average $$×$$ Rate $$= 35 \ ×\ 5 = 175$$, Add both numbers. $$175 \ +\ 145 = 320$$ 72- Choice D is correct The correct answer is $$15\%$$The question is this: $$530.40$$ is what percent of $$624$$?Use percent formula: part $$= \frac{percent}{100} \ ×$$ whole$$530.40 = \frac{percent}{100} \ ×\ 624 ⇒ 530.40 = \frac{percent \ ×\ 624}{100} ⇒53040 =$$ percent $$×\ 624 ⇒$$ percent $$= \frac{53040}{624} = 85$$$$530.40$$ is $$85 \%$$ of $$624$$. Therefore, the discount is: $$100\% \ –\ 85\% = 15\%$$ 73- Choice C is correct The correct answer is $$43$$Let $$x$$ be the smallest number. Then, these are the numbers:$$x, \ x\ +\ 1, \ x\ +\ 2, \ x\ +\ 3, \ x\ +\ 4$$average$$=\frac{ sum \ of\ terms} {number \ of\ terms} ⇒$$$$45 =\frac{ x\ +\ (x\ +\ 1)\ +\ (x\ +\ 2)\ +\ (x\ +\ 3)\ +\ (x\ +\ 4)}{5}⇒$$$$45=\frac{5\ x\ +\ 10}{5} ⇒$$$$225 = 5\ x\ +\ 10 ⇒$$$$215 = 5\ x ⇒ x=43$$ 74- Choice C is correct The correct answer is $$68.5$$average$$= \frac{sum \ of\ terms }{number \ of\ terms}$$The sum of the weight of all girls is: $$15 \ ×\ 49= 735$$ kgThe sum of the weight of all boys is: $$30 \ ×\ 44 = 1,320$$ kgThe sum of the weight of all students is: $$735 \ +\ 1,320 = 2,055$$ kgaverage $$= \frac{2,055 }{50} = 68.5$$ 75- Choice D is correct The correct answer is $$10$$Write the numbers in order: $$4, \ 5, \ 8, \ 10, \ 13, \ 15, \ 18$$Since we have $$7$$ numbers ($$7$$ is odd), then the median is the number in the middle, which is $$10$$. 76- Choice A is correct For each option, choose a point in the solution part and check it on both inequalities. $$y \leq \ x\ + \ 4\\ 2\ x\ +\ y \leq -\ 4$$1. 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)2.Let’s choose this point $$(0, 0)$$ $$0 ≤ 0 \ +\ 4$$, It works$$2 \ (0) \ +\ (0) ≤ –\ 4$$, That’s not true!3.Let’s choose this point $$(–\ 5, 0)$$ $$0 ≤ –\ 5 \ +\ 4$$, That’s not true!4.Let’s choose this point $$(0, 5)$$ $$5 ≤ 0 \ +\ 4$$, That’s not true! 77- Choice A is correct The correct answer is $$1,800$$ ml$$2\%$$ of the volume of the solution is alcohol. Let $$x$$ be the volume of the solution. Then: $$2\%$$ of $$x\ = 36$$ ml $$⇒ 0.02 \ x = 36 ⇒ x = 36 \ ÷\ 0.02 = 1,800$$ 78- Choice D is correct The correct answer is $$15$$ Some of prime numbers are: $$2 , \ 3, \ 5, \ 7, \ 11, \ 13$$Find the product of two consecutive prime numbers: $$2 \ ×\ 3 = 6$$ (not in the options)$$3 \ ×\ 5 = 15$$ (bingo!)$$5 \ ×\ 7 = 35$$ (not in the options)Choice $$4$$ is correct. 79- Choice A is correct The correct answer is $$30$$The area of the floor is: $$9$$ cm $$×\ 30$$ cm $$= 277$$ cm$$^2$$The number of tiles needed $$= 277 \ ÷\ 9 = 30$$ 80- Choice A is correct The corrcet answer is $$13.5$$Let $$x$$ be the number.Write the equation and solve for $$x$$.$$\frac{2}{3} \ ×\ 27= \frac{4}{3} \ . \ x ⇒ \frac{2 \ \times \ 27}{3}= \frac{4\ x}{3}$$ , use cross multiplication to solve for $$x$$.$$2\ ×\ 27= x\ ×\ 4 ⇒27=2\ x ⇒ x=13.5$$ 81- Choice C is correct The corrcet answer is $$30\%$$ Use the formula for Percent of Change$$\frac{New\ Value\ -\ Old\ Value}{Old\ Value} \ ×\ 100 \%$$$$\frac{28\ -\ 40}{40} \ ×\ 100 \% = \ –\ 30 \%$$ (negative sign here means that the new price is less than old price). 82- Choice C is correct The correct answer is $$5.2$$ kgThe weight of 12.2 meters of this rope is: $$10.4 \ ×\ 500$$ g $$= 5,200$$ g$$1$$ kg $$= 1,000$$ g, therefore, $$5,200$$ g $$÷ 1000 = 5.2$$ kg 83- Choice B is correct The correct answer is $$12$$If the score of Mia was $$48$$, therefore the score of Ava is $$24$$.Since, the score of Emma was half as that of Ava, therefore, the score of Emma is $$12$$. 84- Choice A is correct The correct answer is $$879.2$$Surface Area of a cylinder$$= 2\ π\ r\ (r \ +\ h)$$,The radius of the cylinder is $$7$$ inches and its height is $$13$$ inches.$$π$$ is $$3.14$$. Then: Surface Area of a cylinder $$= 2\ (3.14)\ (7) \ (7 \ +\ 13) = 879.2$$ 85- Choice C is correct The correct answer is $$180$$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 $$3$$. $$480 \ ÷\ 8 = 60 ⇒ 60 \ × \ 3 = 180$$ 86- Choice A is correct The correct answer is $$116\%$$The question is this: $$1.45$$ is what percent of $$1.25$$?Use percent formula:part $$= \frac{percent}{100} \ ×\$$ whole$$1.45 =\frac{ percent}{100} \ ×\ 1.25 ⇒ 1.45 = \frac{percent \ ×\ 1.25}{100} ⇒145 =$$ percent $$×\ 1.25 ⇒$$ percent $$= \frac{145}{1.25} = 116$$ 87- Choice B is correct The correct answer is $$50$$ milesUse the information provided in the question to draw the shape.Use Pythagorean Theorem: $$a^2 \ +\ b^2 = c^2$$$$40^2 + 30^2 = c^2 ⇒ 1600 \ +\ 900 = c^2 ⇒ 2500 = c^2 ⇒ c = 50$$ 88- Choice A is correct The correct answer is $$I > 2000\ x\ +\ 24000$$Let $$x$$ be the number of years. Therefore, $$2,000$$ per year equals $$2000\ x$$. starting from $$24,000$$ annual salary means you should add that amount to $$2000\ x$$. Income more than that is: $$I > 2000\ x\ +\ 24000$$ 89- Choice C is correct The correct answer is$$\frac{17}{18}$$If $$17$$ 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 $$18$$.Therefore, the probability of not choosing a brown ball is $$17$$ out of $$18$$ and the probability of having not a brown ball after removing $$17$$ balls is the same. 90- Choice A is correct The correct answer is $$300$$Let $$x$$ be the original price. If the price of a laptop is decreased by $$15\%$$ to $$255$$, then: $$85 \%$$ of $$x=255⇒ 0.85 \ x=255⇒ x=255\ ÷\ 0.85=300$$

### 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.

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