 ## Full Length SHSAT Mathematical Practice Test

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## SHSAT Mathematical Reasoning Practice Test 32019

Two Parts

Total number of questions: 46

Part 1 (Non-Calculator): 5 questions

Part 2 (Calculator): 41 questions

Total time for two parts: 115 Minutes

SHSAT 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- What is the area of an isosceles right triangle that has one leg that measures $$4$$ cm?
(A) $$8$$ cm$$^2$$
(B) $$32$$ cm$$^2$$
(C) $$12$$ cm$$^2$$
(D) $$14$$ cm$$^2$$
2- A shirt costing $$700$$ is discounted $$35\%$$. After a month, the shirt is discounted another $$5\%$$. Which of the following expressions can be used to find the selling price of the shirt?
(A) $$(700) \ (0.35) \ (0.95)$$
(B) $$(700) \ (0.35) \ (0.105)$$
(C) $$(700) \ (0.65) \ (0.95)$$
(D) $$(700) \ (0.35) \ (0.5)$$
3- Which of the following points lies on the line with equation $$4 \ x \ + \ 6\ y=10$$?
(A) $$(-\ 2,3)$$
(B) $$(-\ 1,2)$$
(C) $$(-\ 2,2)$$
(D) $$(2,2)$$
4- If $$8 \ x \ - \ 6=12.5$$, What is the value of $$7 \ x \ + \ 5$$ ?
(A) $$22.2$$
(B) $$22.1$$
(C) $$21.1$$
(D) $$20.1$$
5- $$- \ 17 \ + \ 5 \ × \ (– \ 7) \ – \ \left[ \ 2 \ - \ 20 \ × \ (- \ 3) \ \right] \ ÷ \ 2=$$?
(A) -83
(B) - 83
(C) - 83

SHSAT Mathematical Reasoning

Practice Test 3

Part 2 (Calculator)

41 questions

Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes

You may use a calculator on this part.

6- The average of $$22, 45, 3$$ and $$x$$ is $$19.5$$. What is the value of $$x$$?
(A) 8
(B) 8.0
(C) 8
7-  When a number is subtracted from $$35$$ and the difference is divided by that number, the result is $$6$$. What is the value of the number?
(A) $$6$$
(B) $$5$$
(C) $$7$$
(D) $$4$$
8- A taxi driver earns $$7$$ per $$1-$$hour work. If he works $$15$$ hours a day and in $$1$$ hour he uses $$1.5-$$liters petrol with price $$2$$ for $$1-$$liter. How much money does he earn in one day?
(A) $$60$$
(B) $$40$$
(C) $$30$$
(D) $$50$$
9- The price of a sofa is decreased by $$30\%$$ to $$560$$. What was its original price?
(A) $$750$$
(B) $$700$$
(C) $$800$$
(D) $$820$$
10-  Alex traveled $$130$$ km in $$5$$ hours and Kito traveled $$190$$ km in $$2$$ hours. What is the ratio of the average speed of Alex to average speed of Kito?
(A) $$7:9$$
(B) $$6:9$$
(C) $$5:8$$
(D) $$7:8$$
11- If $$30\%$$ of a class are girls, and $$10\%$$ of girls play tennis, what percent of the class play tennis?
(A) $$2\%$$
(B) $$4\%$$
(C) $$3\%$$
(D) $$1\%$$
12- An angle is equal to one fifth of its supplement. What is the measure of that angle?
(A) $$25$$
(B) $$20$$
(C) $$15$$
(D) $$30$$
13- Right triangle ABC has two legs of lengths $$8$$ cm (AB) and $$6$$ cm (AC). What is the length of the third side (BC)?
(A) $$15$$ cm
(B) $$10$$ cm
(C) $$20$$ cm
(D) $$25$$ cm
14- What is the value of $$y$$ in the following system of equation?
$$6 \ x \ - \ 4 \ y= \ - \ 10$$
$$- \ x \ + \ y= 20$$
(A) 10
(B) 10
(C) 10.00
(D) 10
15- The area of a circle is less than $$36 \ π$$. Which of the following can be the circumference of the circle? (Select one or more answer choices)
(A)  $$12 \ π$$
(B)  $$10 \ π$$
(C)  $$8 \ π$$
(D)  $$32 \ π$$
(E)  $$25 \ π$$
16- The width of a box is one Fourth of its length. The height of the box is one Fourth  of its width. If the length of the box is $$32$$ cm, what is the volume of the box?
(A) $$510$$ cm$$^3$$
(B) $$512$$ cm$$^3$$
(C) $$515$$ cm$$^3$$
(D) $$518$$ cm$$^3$$
17- The price of a car was $$17,600$$ in $$2014, \ 22,000$$ in $$2015$$ and $$27,500$$ in $$2016$$. What is the rate of depreciation of the price of car per year?
(A) $$22\%$$
(B) $$24\%$$
(C) $$26\%$$
(D) $$25\%$$
18- A bank is offering $$6\%$$ simple interest on a savings account. If you deposit $$12,000$$, how much interest will you earn in six years?
(A) $$5,040$$
(B) $$5,020$$
(C) $$5,000$$
(D) $$5,100$$
19- If $$80\%$$ of A is $$40\%$$ of B, then B is what percent of A?
(A) $$200\%$$
(B) $$20\%$$
(C) $$2\%$$
(D) $$0.2\%$$
20- What is the value of $$5^6$$?
(A) 15625
(B) 15,625
(C) 15,625
(D) 15625
21- How many possible outfit combinations come from eight  shirts, four slacks, and two ties?
(A) 64
(B) 64
(C) 64
22- The perimeter of the trapezoid below is $$64$$. What is its area? (A) 270
(B) 270
(C) 270.0
23- In five successive hours, a car travels $$30$$ km, $$62$$ km, $$43$$ km, $$5$$ km and $$50$$ km. In the next five hours, it travels with an average speed of $$50$$ km per hour. Find the total distance the car traveled in $$10$$ hours.
(A) $$317$$ km
(B) $$307$$ km
(C) $$316$$ km
(D) $$318$$ km
24- $$45$$ is What percent of $$30$$?
(A) $$150\%$$
(B) $$130\%$$
(C) $$110\%$$
(D) $$160\%$$
25- In the $$x \ y-$$plane, the point $$(3,4)$$ and $$(2,3)$$ are on line A. Which of the following points could also be on line A? (Select one or more answer choices)
(A) $$(-\ 1,2)$$
(B)  $$(5, 7)$$
(C) $$(3, 4)$$
(D) $$(- \ 1, - \ 2)$$
(E) $$( 7, - \ 8)$$
26- How long does a $$640–$$miles trip take moving at $$60$$ miles per hour (mph)?
(A) $$10$$ hours and $$36$$ minutes
(B) $$8$$ hours and $$36$$ minutes
(C) $$8$$ hours
(D) $$10$$ hours
27- The marked price of a computer is D dollar. Its price decreased by $$10\%$$ in January and later increased by $$5\%$$ in February. What is the final price of the computer in D dollar?
(A) $$0.90$$ D
(B) $$0.88$$ D
(C) $$0.94$$ D
(D) $$0.97$$ D

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28- Two third of $$30$$ is equal to $$\frac{4}{3}$$ of what number?
(A) $$15$$
(B) $$20$$
(C) $$25$$
(D) $$30$$
29- A $$30$$ shirt now selling for $$26$$ is discounted by what percent?
(A) $$15\%$$
(B) $$13\%$$
(C) $$18\%$$
(D) $$14\%$$
30- Sophia purchased a Alex for $$680.20$$. The sofa is regularly priced at $$578$$. What was the percent discount Sophia received on the sofa?
(A) $$20\%$$
(B) $$70\%$$
(C) $$40\%$$
(D) $$30\%$$
31- The average of four  consecutive numbers is $$40$$. What is the smallest number?
(A) $$36$$
(B) $$38$$
(C) $$34$$
(D) $$35$$
32- A rope weighs $$800$$ grams per meter of length. What is the weight in kilograms of $$14$$ meters of this rope? ($$1$$ kilograms $$= 1000$$ grams)
(A) $$11.2$$
(B) $$12.3$$
(C) $$14.3$$
(D) $$14.5$$
33- Which of the following could be the product of two consecutive prime numbers? (Select one or more answer choices)
(A) $$2$$
(B) $$10$$
(C) $$14$$
(D) $$15$$
(E) $$35$$
(F) $$77$$
34- A bag contains $$22$$ balls: three green, four  black, seven  blue, a brown,   two red and  five white. If $$21$$ balls are removed from the bag at random, what is the probability that a brown ball has been removed?
(A) $$\frac{1}{22}$$
(B) $$\frac{21}{22}$$
(C) $$\frac{17}{22}$$
(D) $$\frac{5}{22}$$
35- The ratio of boys to girls in a school is $$3:4$$. If there are $$490$$ students in a school, how many boys are in the school.
(A) 210
(B) 210
(C) 210
36- A chemical solution contains $$8\%$$ alcohol. If there is $$36$$ ml of alcohol, what is the volume of the solution?
(A) $$550$$ ml
(B) $$580$$ ml
(C) $$560$$ ml
(D) $$540$$ ml
37- The score of Alex  was half as that of John and the score of Maryam  was twice that of John . If the score of Maryam  was $$80$$, what is the score of Alex?
(A) $$15$$
(B) $$20$$
(C) $$25$$
(D) $$30$$
38- How many tiles of $$3$$ cm$$^2$$ is needed to cover a floor of dimension $$8$$ cm by $$30$$ cm?
(A) $$35$$
(B) $$65$$
(C) $$80$$
(D) $$60$$
39- What is the median of these numbers? $$3, 7, 10, 5, 14, 16, 12$$
(A) $$10$$
(B) $$8$$
(C) $$16$$
(D) $$12$$
40- A boat sails $$80$$ miles south and then $$60$$ miles east. How far is the boat from its start point?
(A) $$80$$ mile
(B) $$60$$ mile
(C) $$100$$ mile
(D) $$120$$ mile
41- From last year, the price of gasoline has increased from $$2$$ per gallon to $$2.5$$ per gallon. The new price is what percent of the original price?
(A) $$150\%$$
(B) $$125\%$$
(C) $$175\%$$
(D) $$170\%$$
42- The average weight of $$17$$ girls in a class is $$50$$ kg and the average weight of $$32$$ boys in the same class is $$70$$ kg. What is the average weight of all the $$50$$ students in that class?
(A) $$62.2$$
(B) $$63.2$$
(C) $$61.2$$
(D) $$60.2$$
43- Which graph corresponds to the following inequalities?
$$y \ \leq \ x \ + \ 4$$
$$2 \ x \ + \ y \ \leq \ - \ 4$$
(A) (B) (C) (D) 