# Full-Length TSI Math Practice Test

Taking a Full-length TSI Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic TSI Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length TSI Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

## The Absolute Best Book to Ace the TSI Math Test

Time to refine your Math skill with a practice test

Take a practice TSI Math test to simulate the test day experience. After you’ve finished, score your test using the answer keys.

Before You Start

• You’ll need a pencil and a calculator to take the test.
• For each question, there are four possible answers. Choose which one is best.
• It’s okay to guess. There is no penalty for wrong answers.
• After you’ve finished the test, review the answer key to see where you went wrong.

Good Luck!

## TSI Mathematical Practice Test

2 Sections – 20 questions
Total time for two sections: No Time Limit
You may NOT use a calculator on this section.

#### Section 1:Arithmetic and Elementary Algebra

1- A taxi driver earns $$7$$ per 1-hour work. If he works 8 hours a day and in 1 hour he uses 1.5-liters petrol with price $$1.5$$ for 1-liter. How much money does he earn in one day?

☐A. $$38$$

☐B. $$43$$

☐C. $$52$$

☐D. $$60$$

2- What is the value of $$5.12×4.3$$?

☐A. 17.768

☐B. 18.08

☐C. 21.568

☐D. 22.016

3- $$25\%$$ of what number is equal to 85?

☐A. 11.25

☐B. 112.50

☐C. 340

☐D. 500

4- Which of the following is greater than $$\frac{15}{7}$$ ?

☐A. $$\frac{9}{4}$$

☐B. $$\frac{3}{2}$$

☐C. $$\frac{3}{4}$$

☐D. 1.5

5- Which of the following inequalities is true?

☐A. $$\frac{4}{5}<\frac{11}{15}$$

☐B. $$\frac{15}{21}<\frac{6}{7}$$

☐C. $$\frac{4}{5}<\frac{16}{25}$$

☐D. $$\frac{9}{7}<\frac{4}{7}$$

6- The price of a car was $$32,000$$ in 2014, $$24,000$$ in 2015 and $$18,000$$ in 2016. What is the rate of depreciation of the price of car per year?

☐A. $$10\%$$

☐B. $$15\%$$

☐C. $$20\%$$

☐D. $$25\%$$

7- The price of a sofa is decreased by $$13\%$$ to $$426.3$$. What was its original price?

☐A. $$420$$

☐B. $$490$$

☐C. $$550$$

☐D. $$600$$

8- If $$30\%$$ of a class are girls, and $$50\%$$ of girls play tennis, what percent of the class play tennis?

☐A. $$10\%$$

☐B. $$15\%$$

☐C. $$20\%$$

☐D. $$40\%$$

9- Which of the following is closest to 7.025?

☐A. 5

☐B. 5.5

☐C. 6

☐D. 7

10- How long does a 390–miles trip take moving at 60 miles per hour (mph)?

☐A. 4 hours

☐B. 6 hours and 24 minutes

☐C. 6 hours and 30 minutes

☐D. 8 hours and 30 minutes

#### Section 2:College–Level Mathematics

11- If $$f(x)=7x+2(1-x)$$ then $$f(3x)$$=?

☐A. $$20x+6$$

☐B. $$15x-6$$

☐C. $$15x+2$$

☐D. $$27x+2$$

12- A line in the xy-plane passes through origin and has a slope of $$\frac{2}{5}$$. Which of the following points lies on the line?

☐A. $$(5,1)$$

☐B. $$(4,-1)$$

☐C. $$(9,10)$$

☐D. $$(15,6)$$

13- Which of the following is equivalent to $$(4n^2-5n+12)-(3n^2-4n)$$?

☐A. $$n+4n^2$$

☐B. $$n^2-n+12$$

☐C. $$n^2+2n+12$$

☐D. $$n+2$$

14- If $$3x+2y=0, 3x-4y=6$$, which of the following ordered pairs $$(x,y)$$ satisfies both

☐A. $$(\frac{2}{3},-1)$$

☐B. $$(5,-4)$$

☐C. $$(4,-4)$$

☐D. $$(\frac{5}{3},-6)$$

15- John buys a pepper plant that is 8 inches tall. With regular watering the plant grows 5 inches a year. Writing John’s plant’s height as a function of time, what does the y-intercept represent?

☐A. The y-intercept represents the rate of grows of the plant which is 5 inches

☐B. The y-intercept represents the starting height of 6 inches

☐C. The y-intercept represents the rate of growth of plant which is 3 inches per year

☐D. There is no y-intercept

16- In the xy-plane, if (1, 2) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?
$$y>-a-x , y>x+b$$

☐A. $$a<b$$

☐B. $$a>b$$

☐C. $$a=b$$

☐D. $$a= b+ a$$

17- Which of the following points lies on the line that goes through the points $$(1,-5)$$ and $$(-3,7)$$?

☐A. $$(2,-3)$$

☐B. $$(5,-12)$$

☐C. $$(-4,10)$$

☐D. $$(3,-6)$$

18- If $$x≠-4$$ and $$x≠9$$, which of the following is equivalent to $$\frac{1}{\frac{1}{x+4}+\frac{1}{x-9}}$$?

☐A. $$\frac{(x-9)-(x+4)}{(x-9)+(x+4)}$$

☐B. $$\frac{(x-9)(x+4)}{(x+4)+(x-9}$$

☐C. $$\frac{(x+4)(x-9)}{(x+4)-(x+5)}$$

☐D. $$\frac{(x+4)+(x-9)}{(x+4)-(x-9}$$

19- Which of the following is an equation of a circle in the xy-plane with center $$(1,-2)$$ and a radius with endpoint $$(\frac{1}{3},2)$$?

☐A. $$(x-1)^2+(y+2)^2=\frac{148}{9}$$

☐B. $$x^2+(y+2)^2=\frac{148}{9}$$

☐C. $$(x-1)^2+(y-2)^2=\frac{148}{9}$$

☐D. $$x^2+(y-2)^2=\frac{148}{9}$$

20- Given a right triangle $$∆$$ABC whose $$n∠B=90^\circ$$,sin$$⁡C=\frac{3}{5}$$, find cos A?

☐A. $$\frac{-1}{2}$$

☐B. $$\frac{1}{2}$$

☐C. $$\frac{3}{5}$$

☐D. $$\frac{4}{5}$$

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