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 also the best way to simulate test day.
To get the most out of this practice test, treat it as a real test. Prepare scratch paper and a pencil, find a quiet place, and take the test in one sitting.
After you’ve finished, score your test using the answer keys.
Good luck!

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Time to refine your Math skills 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 scratch paper 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.

TSI Mathematical Practice Test

The TSI test has officially been the TSI Assessment 2.0 (TSIA2) since January 2021. Its math section starts with a 20-question College Readiness Classification test scored from 910 to 990, covering quantitative reasoning, algebraic reasoning, geometric and spatial reasoning, and probabilistic and statistical reasoning. A score of 950 or higher, or Diagnostic Level 6 on the follow-up diagnostic test, meets the college readiness standard. This practice test has the same 20-question length. The real TSIA2 is not split into the two sections used below; we group the questions this way only to make practice easier.

2 Sections, 20 questions
Total time for two sections: No Time Limit (the TSIA2 is untimed)
You may NOT use a calculator on this practice test. On the real TSIA2, you cannot bring a handheld calculator, but some questions open a built-in on-screen calculator.

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 of petrol at a price of \(\$1.5\) 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 a 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-mile 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 the 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 equations?

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 growth of the plant, which is 5 inches per year

B. The y-intercept represents the starting height of 8 inches

C. The y-intercept represents the rate of growth of the 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 below, which of the following relationships between \(a\) and \(b\) must be true?
\(y<-x+a,\ y>x+b\)

A. \(a<b\)

B. \(a>b\)

C. \(a=b\)

D. \(a=2b\)

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

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 \(m∠B=90^\circ\) and \(\sin C=\frac{3}{5}\), find \(\cos A\).

A. \(\frac{-1}{2}\)

B. \(\frac{1}{2}\)

C. \(\frac{3}{5}\)

D. \(\frac{4}{5}\)

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