**Pass our Free PERT Math Practice Test: Q&A with Explanations (2021)**

### Last updated 12/2020

The PERT test, also known as the Postsecondary Education Readiness Test, is intended to assess your college readiness. It tests your abilities in relation to the core subjects: math, reading, and writing.

Prepterminal has developed a free PERT Math practice test to assess your initial testing level. Our PERT Math Practice Test consists of 15 questions.

**Take PERT Math Practice Test**

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- Question 1 of 15
##### 1. Question

Question 1

The diameter of a circle with a circumference of 8π cm is equal to the side length of a square. What is the surface area of the square?

CorrectIncorrect - Question 2 of 15
##### 2. Question

Question 2

An empty rectangular container has dimensions 40 cm × 30 cm × 15 cm as shown in the figure.

How many liters of water can it hold? (1 litre = 1 dm^{3}. You must know that units of volume change 1000 by 1000).CorrectIncorrect - Question 3 of 15
##### 3. Question

Question 3

Solve the following equation for x:

2x – y + 6 = 9 – x – yCorrectIncorrect - Question 4 of 15
##### 4. Question

Question 4

Your friend thought of a number. You tell him to multiply it by 5, then add 9 to the value obtained. Then, you ask him for the value. Your friend says it is 24. What number had your friend thought of?

CorrectIncorrect - Question 5 of 15
##### 5. Question

Question 5

What is the value of y, if 756 ÷ y ÷ 3 × 780 ÷ 60 = 39

CorrectIncorrect - Question 6 of 15
##### 6. Question

Question 6

Calculate the value of ? if 64 × ? ÷ 52 × 19 = 912

CorrectIncorrect - Question 7 of 15
##### 7. Question

Question 7

Calculate

CorrectIncorrect - Question 8 of 15
##### 8. Question

Question 8

The expression

(3^{4})^{2}* 9^{-2}* 1/27

is equal toCorrectIncorrect - Question 9 of 15
##### 9. Question

Question 9

What is the simplest form of the expression

√50+ √18- √128CorrectIncorrect - Question 10 of 15
##### 10. Question

Question 10

Calculate

CorrectIncorrect - Question 11 of 15
##### 11. Question

Question 11

Which of the following options is true?

CorrectIncorrect - Question 12 of 15
##### 12. Question

Question 12

What is

CorrectIncorrect - Question 13 of 15
##### 13. Question

Question 13

Calculate the surface area of the trapezoid shown in the figure:

CorrectIncorrect - Question 14 of 15
##### 14. Question

Question 14

The rhombus and the square shown in the figure have the same surface area. What is the rhombus height h if its side lengths are 6cm each and the side lengths of the square are 5cm each?

CorrectIncorrect - Question 15 of 15
##### 15. Question

Question 15

Calculate the circumference of a circle with surface area 49π cm

^{2}.CorrectIncorrect

Also, Prepterminal has created a PERT guide tailored to answer questions you may have about the PERT. We want you to be fully prepared for the exam. That’s why we have gone the extra mile and designed a writing practice test and a reading practice test, for your benefit.

**The PERT Math Section Explained in Detail**

The PERT Math exam features 30 test questions. You will be permitted to use a calculator app, which your testing station will provide. You cannot use your own calculator. The questions on the PERT Math test subsection will be based on one of the following principles:

- Percentages: You will need to change a whole number into a percentage when faced with questions in this category.
- Prime numbers: The question in this category focuses on numbers that have no other factors other than the number one and itself. It is best to memorize 10 prime numbers so that you can spot them quickly.
- Order of operations: You will need to have an understanding of PEMDAS, to solve order of operation problems. This involves approaching a maths problem by addressing the part enclosed in parenthesis first. Following this you address the exponents, then dividing and/or multiplying, and lastly adding and/or subtracting.
- Polynomials: Polynomials can be thought of as more intricate types of simple algebraic equations. They will feature more than one algebraic equation, and you will need to work them out using the Order of Operations process.
- Equations: Equations are the easiest part of Algebra. This sort of mathematical notation will be prominent in the PERT Math subtest.
- Exponents: Problems that fall under this category denotes a particular sort of numerical notations that you may have seen before. Number with exponents written beside them, for example, 72 or 53. In this instance, the smaller number represents the number of times the bigger number needs to be self-multiplied. You could need to work out the precise value of a variable exponent when solving a larger algebraic problem.
- Coordinate planes: These questions ask you to look at the connection between line coordinate graphs and equations. You may need to answer algebraic questions according to a pair of grid coordinates, and the line they would make. You then need to discover the equation of the line.

**The PERT Scoring System (Math Part)**

All of the PERT subtests are scored individually. The scores can range from 50 – 150. You can not fail the PERT test, rather the score you achieve will be used to see what course you will be permitted to take in college. You must meet the cut-off scores if you don’t want to take developmental educational or accelerated intervention courses. The cut-off scores for the mathematics subtest are as follows:

- Lower Level Developmental Education: Scores 50 to 95
- Higher Level Developmental Education: Scores 96 to 112
- Intermediate Algebra (MAT 1033): Scores 113 to 122
- College Algebra or higher (MAC 1105): Scores 123 to 150

**Explore Prepterminal’s PERT Preparation Course**

The most effective way to ace the PERT test is to practice using mock PERT exams and questions. To further enhance your test score it is also suggested that you take a total PERT prep course – such as that provided by Prepterminal. When you take a specific prep course you will learn the format and structure of this psychometric test. You will also see which question types you know how to solve and which question types you have difficulty answering. This way you can develop your weaker areas and improve your test score.

Prepterminals preparatory PERT course includes both written and video guides. No matter how you learn, we have you covered! Our in-depth course also features practice tests with full detailed answer explanations. By reading through the explanations you will learn the best way to tackle all question types.

*Note: PERT and other trademarks are the property of their respective trademark holders. None of the trademark holders are affiliated with PrepTerminal or this website.

**Pass our Free PERT Math Practice Test: Q&A with Explanations (2021)**

### Last updated 12/2020

The PERT test, also known as the Postsecondary Education Readiness Test, is intended to assess your college readiness. It tests your abilities in relation to the core subjects: math, reading, and writing.

Prepterminal has developed a free PERT Math practice test to assess your initial testing level. Our PERT Math Practice Test consists of 15 questions.

**Take PERT Math Practice Test**

#### Quiz Summary

0 of 15 questions completed

Questions:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
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- 13
- 14
- 15

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Your time:

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- Question 1 of 15
##### 1. Question

**There were four friends sharing pizza. They decided that the oldest one will get the extra piece.****Rona is 2 months older than George, who is 3 months younger than Carl.****John is one month older than George. Who should get the extra piece of pizza?**CorrectIncorrect - Question 2 of 15
##### 2. Question

**Carl is 10 years old. For 2 years, he has been asking his parents for a cat. His parents believed that cats would not be happy in an apartment, but they have given him permission to have a bird instead. Carl has not yet decided what type of bird he would like to have.****Which statement is true?**CorrectIncorrect - Question 3 of 15
##### 3. Question

Nurses work by shifts: morning, afternoon and night shifts. Nurse Colyn had worked more afternoon shifts in a row than Nurse Raelyn, who had worked five afternoon shifts. Nurse Marlaine had worked fifteen afternoon shifts in a row, more than Nurse Colyn and Raelyn combined. Nurse Aileen had worked eight afternoon shifts in a row, less than Nurse Colyn.

How many afternoon shifts in a row did Nurse Colyn have?

CorrectIncorrect - Question 4 of 15
##### 4. Question

Claire is sleeping in the armchair behind Jason.

Jason is sleeping in the armchair behind Brian.

Brian is sleeping in the armchair behind Claire.

**If the first two statements are true, so the third statement is?**CorrectIncorrect - Question 5 of 15
##### 5. Question

**“A lady walked into a building, straight to the front desk. She was applying for a secretarial position as her first job. The lady was then asked to proceed into a room for her interview and was asked various questions, the last being if she would be willing to work for 6 hours a day, 6 days a week.”****Question:**Should the lady choose to accept the job, how many hours would she be working in a week?

CorrectIncorrect - Question 6 of 15
##### 6. Question

**“I would live here at Beale Memorial Library if it were any kind of viable option.****But it’s not like the classic book where the two kids run away from home and go to hide in a museum in New York City.****I know that I need a bed, and I like to take frequent baths and showers. Brushing my teeth is very important and not just because of the proven connection between poor oral hygiene and heart attacks. But as I walk through the double doors of this place I do wish that it were possible. Because:**books = comfort

To me anyway. And comfort is a thing of the past.”

*— Excerpt from Counting By 7s, by Holly Goldberg Sloan***Question:**Based on the excerpt, the speaker is most probably a…

CorrectIncorrect - Question 7 of 15
##### 7. Question

**“Mia, at the age of 24, is currently the CEO of her accounting firm. She is twice as old as her sister Mai. Growing up without a mother, all the sisters needed in their lives were each other, although their father had always been loving and very supportive of his daughters. The problem now, however, is that Mia is thinking of marrying her boyfriend of 3 years. The sisters are then faced with a dilemma: should Mai leave the couple be and face the world on her own, or choose to be selfish for once and fight for her sister’s affection?”****Question:**In 7 years, what would Mai and Mia’s respective ages be?

CorrectIncorrect - Question 8 of 15
##### 8. Question

**“Mia, at the age of 24, is currently the CEO of her accounting firm. She is twice as old as her sister Mai. Growing up without a mother, all the sisters needed in their lives were each other, although their father had always been loving and very supportive of his daughters. The problem now, however, is that Mia is thinking of marrying her boyfriend of 3 years. The sisters are then faced with a dilemma: should Mai leave the couple be and face the world on her own, or choose to be selfish for once and fight for her sister’s affection?”****Question:**What could be the reason why the sisters are faced with such a problem?

CorrectIncorrect - Question 9 of 15
##### 9. Question

“In 1905, Albert Einstein published his postulation that the speed of light was invariant; that it was the same whatever the motion of the observer. This is a key part of his special theory of relativity, which also includes the equation

*E = mc**2**.*In September 2011, a team of scientists in Italy working on a project in collaboration with CERN announced results that appeared to show neutrinos travelling faster than the speed of light. If true, this would have turned physics on its head and heralded the end of Einstein’s theories of relativity. In November, the experiment was repeated and gave the same result. However, in March 2012 results from a different group at the same Italian laboratory showed neutrinos travelling at exactly the speed of light and it soon became clear there was a hardware problem with the first group’s experiments and a huge sigh of relief could be breathed by all.”

*— Excerpt from The Science Magpie, by Simon Flynn***Question:**Based on the passage, a “neutrino” is most probably a…

CorrectIncorrect - Question 10 of 15
##### 10. Question

**PIROUETTE is to BALLERINA as _?_ is to BODYBUILDER.**CorrectIncorrect - Question 11 of 15
##### 11. Question

**GUN is to POLICE as _?_ is to NURSE.**CorrectIncorrect - Question 12 of 15
##### 12. Question

**SWORD is to BLACKSMITH as _?_ is to CARPENTER.**CorrectIncorrect - Question 13 of 15
##### 13. Question

**MARBLE is to ROLL as _?_ is to TURN.**CorrectIncorrect - Question 14 of 15
##### 14. Question

**FLOWER is to BLOOM as _?_ is to AGE.**CorrectIncorrect - Question 15 of 15
##### 15. Question

**At a basketball game, Harris was sitting in seat 453 while Marlaine was sitting to the right of Harris in seat 454. In the seat to the left of Harris was Greg. Euan was sitting to the left of Greg.****Which seat is Euan sitting in?**CorrectIncorrect

Also, Prepterminal has created a PERT guide tailored to answer questions you may have about the PERT. We want you to be fully prepared for the exam. That’s why we have gone the extra mile and designed a writing practice test and a reading practice test, for your benefit.

#### PERT Prep Course

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- Over 400 practice items
- 5 Arithmetic Guides
- 5 Arithmetic Question Banks
- 9 Algebra QAS Guides
- 9 Algebra QAS Question Banks
- 7 Advanced Algebra & Functions Guides
- 7 Advanced Algebra & Functions Question Banks
- 1 Reading Guide
- 3 Reading Question Banks
- 5 Writing Guides
- 17 Writing Question Banks