10 Most Common PERT Math Questions

10 Most Common PERT Math Questions

Preparing for the PERT Math test? Want a preview of the most common mathematics questions on the PERT Math test? If so, then you are in the right place.

The mathematics section of PERT can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the PERT Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the PERT can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common PERT Math questions to help you know what to expect and what to practice most. Try these 10 most common PERT Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

The Absolute Best Book to Ace the PERT Math Test

10 Sample PERT Math Practice Questions

1- If \(f(x) = 5 + x\) and \(g(x) = – x^2 – 1 – 2x\), then find \((g – f)(x)\)?

☐A. \(x^2–3x–6\)

☐B. \(x^2–3x+6\)

☐C. \(–x^2–3x+6\)

☐D. \(–x^2–3x–6\)

2- \(\frac{|3+x|}{7}≤ 5\),\(then \space x = \)?

☐A. \(–38≤x≤35\)

☐B. \(–38≤x≤32\)

☐C. \(–32≤x≤38\)

☐D. \(–32≤x≤32\)

3- \(tan\space (-\frac{π}{6}) = ?\)

☐A. \(\frac{{\sqrt{3}}}{3}\)

☐B. \(-\frac{{\sqrt{2}}}{2}\)

☐C. \(\frac{{\sqrt{2}}}{2}\)

☐D. \(-\frac{{\sqrt{3}}}{3}\)

4- Solve: \(\frac{\sqrt {32a^5 b^3} }{\sqrt {2ab^2} }= \)?

☐A. \(4a^2 {\sqrt{b}}\)

☐B. \(2b^2 {\sqrt{a}}\)

☐C. \(4b^2 {\sqrt{a}}\)

☐D. \(– 4a^2 {\sqrt{b}}\)

5- The cost, in thousands of dollars, of producing x thousands of textbooks is \(C (x) = x^2 + 10x + 30\). The revenue, also in thousands of dollars, is \(R(x) = 4x\). Find the profit or loss if 3,000 textbooks are produced. (profit = revenue – cost)

☐A. $21,000 loss

☐B. $57,000 profit

☐C. $3,000 profit

☐D. $57,000 loss

6- Suppose a triangle has the dimensions indicated below:
Then Sin B =?

☐A. \(\frac{3}{5}\)

☐B. \(\frac{4}{5}\)

☐C. \(\frac{4}{3}\)

☐D. \(\frac{3}{4}\)

7- Find the slope–intercept form of the graph \(6x – 7y = – 12\)

☐A. \(y = –\frac{7}{6} x – \frac{12}{7}\)

☐B. \(y = –\frac{6}{7} x – \frac{12}{7}\)

☐C. \(y = \frac{6}{7} x + \frac{12}{7}\)

☐D. \(y = \frac{7}{6} x + \frac{12}{7}\)

8- Ella (E) is 4 years older than her friend Ava (A) who is 3 years younger than her sister Sofia (S). If E, A and S denote their ages, which one of the following represents the given information?





9- Which of the following point is the solution of the system of equations?
\(5x + y = 9 \)
\(10x-7y= -18\)

☐A. (2, 4)

☐B.(2, 2)

☐C. (1, 4)

☐D. (0, 4)

10- Find the Center and Radius of the graph \((x – 3)^2 + (y + 6)^2 = 12\)

☐A. (3, 6), \(\sqrt{3}\)

☐B.(3, –6), 2\(\sqrt{3}\)

☐C. (–3, 6), 2\(\sqrt{3}\)

☐D. (3, –6), \(\sqrt{3}\)

Best PERT Math Prep Resource for 2020


1- D
\( (g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x)
– x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6\)

2- B
\(\frac{|3+x|}{7}≤ 5⇒|3+x|≤35⇒-35≤3+x≤35⇒-35-3≤x≤35-3⇒

3- D
tan \( (-\frac{π}{6}) = -\frac{\sqrt3}{3}\)

4- A
\(\frac{\sqrt{32a^5 b^3} }{\sqrt{2ab^2} }=\frac{4a^2 b\sqrt{2ab}}{b\sqrt{2a}}=4a^2 \sqrt b\)

5- D
\(4×3=12⇒12-69=-57⇒57,000 \space loss\)

6- B
sin B\(=\frac{the \space length \space of \space the \space side \space that \space is \space opposite \space that \space angle}{the \ length \space of \space the \space longest \space side \space of \space the \space triangle}=\frac{4}{5}\)

7- C
\(-7y=-6x-12⇒y=\frac{-6}{-7}x- \frac{12}{-7}⇒y=\frac{6}{7}x + \frac{12}{7}\)

8- D
\( E = 4 + A\)
\(A = S – 3\)

9- C
\(5x + y = 9\)
\(10x-7y= -18\)
Multiplication (–2) in first equation
\(-10x- 2y = -18 \)
\(10x-7y= -18\)
Add two equations together ⇒ \(–9y = –36\) ⇒\( y = 4\) then: \(x = 1\)

10- B
\((x – h)^2 + (y – k)^2 = r^2\) ⇒ center: (h,k) and radius: r
\((x – 3)^2 + (y + 6)^2 = 12\) ⇒ center: (3,-6) and radius:\(2\sqrt 3\)

Looking for the best resource to help you succeed on the PERT Math test?

The Best Books to Ace the PERT Math Test

Related to "10 Most Common PERT Math Questions"

The Ultimate PERT Math Formula Cheat Sheet
The Ultimate PERT Math Formula Cheat Sheet
Top 10 PERT Math Practice Questions
Top 10 PERT Math Practice Questions
PERT Math FREE Sample Practice Questions
PERT Math FREE Sample Practice Questions
How to prepare for PERT Math Test
How to prepare for PERT Math Test
PERT Math Formulas
PERT Math Formulas
The Ultimate PERT Math Course
The Ultimate PERT Math Course
PERT Math Worksheets
PERT Math Worksheets

Leave a Reply

Your email address will not be published. Required fields are marked *

23% OFF

Download Instantly


How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.


3. Checkout

Complete the quick and easy checkout process.


4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment


Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available


Over 80,000 happy customers


Over 10,000 reviews with an average rating of 4.5 out of 5


24/7 support


Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…