# TSI Math Practice Test Questions

Preparing for the TSI Math test? Try these free TSI Math Practice questions. Working on sample TSI practice questions is the best way to brush up on your Math skills. Here, we walk you through solving 10 common TSI Math practice problems covering the most important math concepts on the TSI Math test.

These TSI Math practice questions are designed to be similar to those found on the real TSI Math test. They will assess your level of preparation and will give you a better idea of what to study for your exam.

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**10 Sample TSI Math Practice Questions**

1- \( (x – 4) (x^2 + 5x + 4) =\space ?\)

A. \(x^3 + x^2 – 16x + 16\)

B. \(x^3 + 2x^2 – 16x – 16\)

C. \(x^3 + x^2 – 16x –16\)

D. \(x^3 + x^2 + 16x – 15\)

2- How many \(3 × 3\) squares can fit inside a rectangle with a height of 54 and width of 12?

A. 72

B. 52

C. 62

D. 42

3- If \(7 + 2x ≤ 15\), what is the value of \(x ≤ \)?

A. 14x

B. 4

C. \(-4\)

D. 15x

4- Liam’s average (arithmetic mean) on two mathematics tests is 8. What should Liam’s score be on the next test to have an overall of 9 for all the tests?

A. 8

B. 9

C. 10

D. 11

5- \(7^7 × 7^8 = \space ?\)

A. \(7^{56}\)

B. \(7^{0.89}\)

C. \(7^{15}\)

D. \(1^7\)

6- What is 5231.48245 rounded to the nearest tenth?

A. 5231.482

B. 5231.5

C. 5231

D. 5231.48

7- 15 is what percent of 75?

A. \(10\%\)

B. \(20\%\)

C. \(30\%\)

D. \(40\%\)

8- Last Friday Jacob had $32.52. Over the weekend he received some money for cleaning the attic. He now has $44. How much money did he receive?

A. $76.52

B. $11.48

C. $32.08

D. $12.58

9- Simplify \(\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}\)

A. \(\frac{3 – x}{x^2 – 10}\)

B. \(\frac{3 – x}{2x^2 – 10}\)

C. \(\frac{3 + x}{x^2 – 10}\)

D. \(\frac{-3 – x}{2x^2 – 10}\)

10- \(\sqrt{47}\) is between which two whole numbers?

A. 3 and 4

B. 4 and 5

C. 5 and 6

D. 6 and 7

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## Answers:

1- **C**

Use FOIL (First, Out, In, Last)

\((x – 4) (x^2 + 5x + 4) = x^3 + 5x^2 + 4x – 4x^2 – 20x – 16

= x^3 + x^2 – 16x – 16\)

2- **A**

Number of squares equal to:\(\frac{54×12}{3×3}=18×4=72\)

3-** B**

Simplify:

\(7 + 2x ≤ 15 ⇒ 2x ≤ 15 – 7 ⇒ 2x ≤ 8 ⇒ x ≤ 4\)

4- **D**\(\frac{a + b}{2}= 8 ⇒ a + b = 16\)

\(\frac{a + b + c}{3} = 9 ⇒ a + b +c = 27\)

\(16 + c = 27 ⇒ c = 27 – 16 = 11\)

5- **C**

\(7^7 × 7^8 = 7^{7 + 8 }= 7^{15}\)

6- **B**

Underline the tenth place:

\(5231.48245\)

Look to the right if it is 5 or above, give it a shove.

Then, round up to 5231.5

7- **B**

\(75 × \frac{x}{100} = 15 ⇒ 75 × x = 1500 ⇒ x = \frac{1500}{75} = 20\)

8- **B**

\($44 – $32.52 = $11.48\)

9- **D**

Simplify:

\( \frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}=\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2 – 5}{2}}=\frac{2(\frac{1}{2}-\frac{x + 5}{4})}{x^2 – 5}\)

⇒Simplify:

\(\frac{1}{2} – \frac{x + 5}{4}=\frac{- x – 3}{4}\)

then:

\(\frac{2(\frac{-x – 3}{4})}{x^2 – 5}=\frac{\frac{-x – 3}{2}}{x^2 – 5}=\frac{- x – 3}{2(x^2 – 5)}=\frac{- x – 3}{2x^2 – 10}\)

10- **D**

\( \sqrt{47} = 6.85565…\)

then: \(\sqrt{47}\) is between 6 and 7

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