Dakota's Complete Educational Guide for IBEW Aptitude Exam

If you have landed on this guide, there is a good chance you are studying for the IBEW aptitude test or at least thinking about it. Most people do not casually read about aptitude exams unless one is coming up on their calendar.

This guide is meant to give you a clear, straightforward explanation of what the IBEW aptitude test looks like and how to prepare using free study tools and structured practice. It is intended for individuals who are considering taking the aptitude test now or at some point in the future and want to understand the exam format, content, and expectations.

If you're looking for 600+ completely free questions created by electricians, math & english teachers, you download the Dakota Prep app here:

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Let’s get into how the IBEW aptitude test works and what you can expect when you sit down to take it.‍

What Is the IBEW Aptitude Test?

The IBEW aptitude test is a standardized entrance exam used by many electrical apprenticeship programs associated with the International Brotherhood of Electrical Workers. The test may also be referred to as the NJATC aptitude test, JATC aptitude test, or ETA aptitude test. These names all refer to the same assessment.

The exam evaluates academic fundamentals rather than trade knowledge. It is designed to measure math reasoning and reading comprehension skills that are commonly required in structured technical training programs.

The format and content of the test are generally consistent across testing locations. This allows applicants to prepare using the same study approach regardless of where the test is administered.

Why the Aptitude Test Exists

The aptitude test serves as a standardized way to evaluate readiness for classroom instruction. Electrical training programs often involve technical reading, applied math, and time-based problem solving. The test assesses whether an applicant has the foundational skills needed to work through that type of material.

The test does not measure hands-on ability, prior work experience, or personal background. It strictly measures performance on timed math and reading tasks.

Overview of Test Structure

The IBEW Aptitude test consists of two scored sections. Each section is timed separately. There is a short break between sections.

Test Sections at a Glance

Algebra and Functions

  • 33 questions
  • 36 minutes
  • Calculator use is not permitted

Reading Comprehension

  • 36 questions
  • 51 minutes

Both sections contribute equally to the final score. Performance in only one section is not sufficient for a strong overall result.

Algebra & Functions: In-Depth Math Breakdown (IBEW Aptitude Test)

The Algebra and Functions portion of the IBEW Aptitude Test is the section that eliminates the largest number of applicants. Not because the math is advanced, but because it is timed, calculator-free, and unforgiving of weak fundamentals.

This section contains 33 questions in 36 minutes, giving you just over one minute per problem. Every question is designed to test whether you can recognize patterns, apply algebra rules quickly, and avoid common mistakes under pressure.

Below is a complete breakdown of every math concept tested, followed by 9 focused math guides you can use to master each topic efficiently.

Math Section: Start Here If You Haven’t Done Algebra in Years

Before jumping into practice questions, it’s important to understand what each type of math problem actually is and what the test is asking you to do.

The IBEW aptitude test does not test advanced math. It tests whether you can follow rules, work carefully, and solve problems step by step without a calculator.

If algebra feels unfamiliar, that’s normal. Everything below is explained from the ground up.

Core Math Concepts on the IBEW Aptitude Test

1. Quadratics 

Quadratics are equations or expressions where the highest power of x is 2 (x² = x squared). When you see x², that does not mean “x times 2.” It means x multiplied by x.

Quadratics are written in the form

ax² + bx + c = 0

On the IBEW aptitude test, quadratics usually show up as equations where everything is set equal to zero.

You do not need to remember any formulas to start. The most important thing is recognizing that the problem includes x².

Your goal is simple: Find the number (or numbers) that make the equation true.

How quadratics are usually solved

  • Factoring — works when the quadratic breaks neatly into two binomials.

  • Quadratic formula — works every time (but can be messy):
    x = (-b ± √(b² – 4ac)) ÷ (2a)

  • Completing the square — good for understanding, but less common on quick tests. This can be helpful if the coefficient on x² is not 1. For example 6x² or -4x². 

Factoring is the easiest first approach, and the others are available in case it cannot be easily factored.  

Here are some of the questions you’ll be able to see on the test

Example #1
x² + 8x + 15 = 0

Example #2
3x² – 10x – 8 = 0

Example #3
6x² – x – 12 = 0

These problems may look intimidating at first, but they all follow the same pattern. If you can recognize the pattern and stay organized, they become much easier.

Here’s what you’ll need to learn in order to get these questions right

  • What x² means
    x² means x multiplied by itself.

  • How to recognize a quadratic
    If you see x² in the problem, it’s a quadratic.

  • What factoring means
    Factoring means rewriting the problem into two sets of parentheses that multiply together.

  • What you are usually looking for
    Most of the time, you are looking for two numbers that:
    • multiply to the last number
    • add up to the middle number

  • How to finish the problem
    After factoring, you set each set of parentheses equal to zero and solve for x.

  • Why there can be more than one answer
    Quadratic problems often have two answers because two different numbers can make the equation equal zero.

Learn how to solve these step by step

If you haven’t done algebra in a long time, that’s okay. These skills come back quickly with the right explanation and practice.

Check out Dakota Prep’s Guide: 📎

Video Guide:

The math itself is manageable. Most difficulty comes from not remembering what the problem is asking.

Once you understand what x² means and what factoring is doing, these questions become predictable.

2. Fractions and Decimals

Fractions and decimals are just two different ways of showing parts of a whole.

A fraction like 1/2 means one part out of two equal parts.
A decimal like 0.5 means the same thing, just written differently.

On the IBEW aptitude test, fractions and decimals show up often. Sometimes they are the entire question, and other times they are part of a bigger problem. Being comfortable with them makes everything else easier.

How fractions and decimals are usually used on the test

Most fraction and decimal questions fall into one of these categories:

  • Turning decimals into fractions

  • Adding or subtracting fractions

  • Multiplying fractions

  • Dividing fractions

You do not need advanced math. You just need to know a few repeatable steps and when to use them.

Here are some of the questions you’ll be able to see on the test

Example #1
Convert 2.375 into a mixed fraction

Example #2
Add 5/12 + 3/8

Example #3
Divide 7/10 ÷ 7/25

These are very common IBEW-style questions. They look different, but they all use the same basic ideas.

Here’s what you’ll need to learn in order to get these questions right

  • How Decimals Turn Into Fractions
    A decimal can be turned into a fraction by saying it out loud.
    For example, 0.375 is “375 thousandths,” which is written as 375/1000, then simplified.

  • How To Simplify Fractions
    Simplifying means reducing the fraction so the top and bottom numbers are as small as possible while keeping the same value.

  • How Adding And Subtracting Fractions Works
    Before you add or subtract, the bottom numbers must match.
    You find a common denominator, then add or subtract the top numbers only.

  • How Multiplying Fractions Works
    Multiply straight across: top times top, bottom times bottom.
    If numbers cancel, do that first to make it easier.

  • How Dividing Fractions Works
    Use the rule “keep, change, flip.”
    Keep the first fraction, change division to multiplication, flip the second fraction, then multiply.

  • How To Spot Common Mistakes
    You never add or subtract the bottom numbers.
    Always simplify your answer when possible.

Learn how to solve these step by step

If fractions and decimals feel uncomfortable right now, that’s completely normal. These skills come back quickly once you see the same steps a few times.

Check out Dakota Prep’s Guide: 📎

Video Guide:

3. Order of Operations

Order of operations is the set of rules that tells you which math steps to do first.

Without these rules, the same math problem could give different answers depending on how someone solves it. That’s why everyone follows the same order.

You may have heard of PEMDAS. This is just a memory tool, not a formula.

PEMDAS stands for:
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

How order of operations works on the test

Order of operations is not about doing more math.
It’s about doing the steps in the correct order.

One important thing to remember:

  • Multiplication and division are solved from left to right

  • Addition and subtraction are solved from left to right

Multiplication does not automatically come before division. Addition does not automatically come before subtraction.

Here are some of the questions you’ll be able to see on the test

Example #1
5 + 3 × 2

Example #2
6(2³) – 4(2 + 1)²

Example #3
–12 + (18 – 6) ÷ 3

These problems are designed to check whether you slow down and follow the rules, not whether you can do hard math.

Here’s what you’ll need to learn in order to get these questions right

  • What Parentheses Do
    Anything inside parentheses must be completed before anything else.

  • What Exponents Mean
    An exponent means repeated multiplication.
    For example, 2³ means 2 × 2 × 2.

  • How Multiplication And Division Are Handled
    They are solved in the order they appear, from left to right.

  • How Addition And Subtraction Are Handled
    They are also solved in the order they appear, from left to right.

  • Why Writing Steps Matters
    Most mistakes happen when people skip steps or do too much in their head.

Learn how to handle these problems with confidence

Order of operations questions become much easier when you focus on one step at a time and avoid rushing.

Check out Dakota Prep’s Guide: 📎

Video Guide:

4. Polynomial Operations & Factoring

Polynomial problems look intimidating because they include letters, exponents, and parentheses. In reality, they are just organized multiplication and cleanup.

A polynomial is a math expression made up of:

  • Numbers

  • Letters like x

  • Exponents like x²

  • Plus and minus signs

Examples of polynomials look like this:
4x – 7
2x² + 5x – 3

On the IBEW aptitude test, you are usually asked to either multiply polynomials or factor them.

How polynomial problems usually work on the test

There are two main things the test asks you to do:

  1. Multiply expressions that are inside parentheses

  2. Factor expressions back into parentheses

Factoring is just the reverse of multiplying. If you understand how multiplying works, factoring makes much more sense.

Here are some of the questions you’ll be able to see on the test

Example #1
Multiply (4x – 7)(2x + 3)

Example #2
Multiply (5x + 2)(x – 6)

Example #3
Factor 6x² + 11x – 10

These problems are common and follow predictable steps. Most mistakes happen when steps are skipped or signs are missed.

Here’s what you’ll need to learn in order to get these questions right

  • What It Means To Multiply Parentheses
    Every term in the first set of parentheses must be multiplied by every term in the second set.

  • Why FOIL Is Used
    FOIL is just a way to stay organized so nothing gets missed when multiplying.

  • How To Combine Like Terms
    After multiplying, you will often have terms that can be combined, like 12x – 14x.

  • What Factoring Means
    Factoring means finding the parentheses that would multiply together to create the expression.

  • What To Do When The First Number Isn’t 1
    When the number in front of x² is not 1, you use a structured approach to keep the work clean and avoid guessing.

Practice these problems the right way

Polynomial problems reward organization more than speed. Writing clean steps and checking your signs makes a big difference.

Check out Dakota Prep’s Guide: 📎

Video Guide:

5. Sequences

Sequence questions are about patterns in numbers.

Instead of solving equations, you are asked to look at a list of numbers and figure out how they are changing. Once you see the pattern, you use it to find the next number or a missing number.

These questions are not about advanced math. They are about paying attention and spotting simple changes.

How sequence problems usually work on the test

Most sequence questions follow one clear pattern. The numbers may:

  • Increase or decrease by the same amount each time

  • Multiply or divide by the same number each time

  • Change in a repeating or growing way

Your job is to figure out what is happening from one number to the next.

Here are some of the questions you’ll be able to see on the test

Example #1
100, 94, 88, 82, ___

Example #2
3, 9, 27, 81, ___

Example #3
1, 4, 9, 16, ___

At first glance, these may look different. In reality, each one follows a simple rule.

Here’s what you’ll need to learn in order to get these questions right

  • How To Look For The Change Between Numbers
    Start by comparing one number to the next. Ask yourself: “What changed?”

  • How To Spot Adding Or Subtracting Patterns
    If the numbers go up or down by the same amount each time, the pattern is based on addition or subtraction.

  • How To Spot Multiplying Or Dividing Patterns
    If each number is multiplied or divided by the same number, the pattern is based on multiplication or division.

  • How To Handle Square Number Patterns
    Some sequences use square numbers, like 1, 4, 9, 16. These come from multiplying a number by itself.

  • How To Avoid Overthinking
    Most sequence questions use very simple rules. If it feels complicated, step back and check for an easier pattern.

Get comfortable with these patterns

Sequence questions become easier once you’ve seen a few common patterns. The key is slowing down and checking changes one step at a time.

Check out Dakota Prep’s Guide: 📎

Video Guide:

6. Systems of Equations

Systems of equations are problems where you are given two math statements that describe the same situation.

Instead of finding just one number, you are finding two numbers that work together.

These problems usually use two letters, most often x and y.

How systems of equations usually work on the test

Each equation gives you part of the information. Both equations must be true at the same time.

Your goal is to find the values of x and y that make both equations work, not just one of them. This might sound complicated, but the steps are very repetitive once you learn the process.

Here are some of the questions you’ll be able to see on the test

Example #1
x + y = 10
x − y = 2

Example #2
3x + 4y = 25
x + y = 7

Example #3
y = 3x − 2
4x + y = 19

These problems look different, but they are all asking the same thing:
“What two numbers make both equations true?”

Here’s what you’ll need to learn in order to get these questions right

  • What A System Is
    A system is just two equations that go together and describe the same situation.

  • What You Are Solving For
    You are finding two numbers, one for x and one for y, that work at the same time.

  • The Two Main Ways To Solve
    Most systems are solved by either replacing one letter with an expression from the other equation or by combining the equations to remove one letter.

  • Why Organization Matters
    These problems have multiple steps. Writing things neatly helps prevent mistakes.

  • How To Check Your Answer
    Once you find values for x and y, you can plug them back into both equations to make sure they work.

Get comfortable with these problems

Systems of equations are more about staying organized than doing hard math. If you follow the steps and take your time, they become very predictable.

Check out Dakota Prep’s Guide: 📎

Video Guide:

7. Word & Logic Problems

Word problems are math questions written as short stories.

Instead of seeing numbers and symbols right away, you are asked to read a situation and figure out what math needs to be used. The math itself is usually not new, it’s the wording that makes these problems feel harder.

On the IBEW aptitude test, word problems are used to see whether you can understand instructions and turn real-world information into math.

How word problems usually work on the test

Most word problems follow the same pattern:

  • You are given a situation

  • You are asked to find an unknown number

  • The problem can be turned into an equation you already know how to solve

These questions are not about trick language. They are about slowing down, identifying what matters, and ignoring extra information.

Here are some of the questions you’ll be able to see on the test

Example #1
The length of a cable is 25 feet. One piece is 5 feet longer than the other. How long is each piece?

Example #2
A rectangle has a length of (3x + 1) and a width of (2x − 3). What is the area of the rectangle?

Example #3
Adult tickets cost $9 and child tickets cost $6. A total of 220 tickets were sold for $1,614. How many adult tickets were sold?

These problems look very different, but each one turns into math you’ve already seen elsewhere on the test.

Here’s what you’ll need to learn in order to get these questions right

  • How To Identify What The Question Is Asking
    Before doing any math, decide what you are solving for.

  • How To Define The Unknowns
    Choose what the letters represent. This makes the rest of the problem clearer.

  • How To Turn Words Into Math
    Sentences usually become equations once you translate them carefully.

  • How To Recognize The Math Type
    Most word problems turn into:
    • A single equation
    • A system of equations
    • A multiplication problem
    • A sequence problem

  • How To Ignore Extra Information
    Not every number in the problem is always needed.

Get more comfortable with these problems

Word problems get easier once you stop trying to solve them all at once. Breaking them into steps makes a big difference.

Check out Dakota Prep’s Guide: 📎

Video Guide:

8. Graphs, Functions, Slopes & Linear

Graph questions use pictures instead of long math problems.

Instead of solving equations, you are asked to look at a graph and understand what it is showing. These questions are not about drawing perfect graphs. They are about reading information correctly.

On the IBEW aptitude test, graph questions usually involve straight lines or simple curves.

How graph questions usually work on the test

Most graph questions ask you to:

  • Identify where a line starts
  • Tell whether a line goes up or down
  • Read a value from the graph
  • Recognize the shape of a graph

You are not expected to memorize formulas. You are expected to understand what the graph represents.

Here are some of the questions you’ll be able to see on the test

Example #1
Identify the slope of the line shown on the graph

Example #2
Find the y-intercept of the line

Example #3
Identify the vertex of a parabola

These questions focus on understanding what you see, not doing complicated calculations.

Here’s what you’ll need to learn in order to get these questions right

  • What A Linear Graph Looks Like
    A linear graph is a straight line. It shows a constant change as you move across the graph.

  • What Slope Means
    Slope tells you how steep the line is.
    If the line goes up as it moves right, the slope is positive.
    If it goes down as it moves right, the slope is negative.

  • What The Y-Intercept Is
    The y-intercept is where the line crosses the vertical axis. This is the starting point of the line.

  • What A Quadratic Graph Looks Like
    Quadratic graphs form a U-shape. This shape is called a parabola.

  • What The Vertex Is
    The vertex is the lowest or highest point of a parabola. It shows where the curve changes direction.

  • How To Read Values From A Graph
    Most questions ask you to locate a point or read a value directly from the graph.

Get comfortable reading graphs

Graph questions become easier once you know what to look for. Taking a second to understand the axes and direction of the graph helps avoid simple mistakes.

Check out Dakota Prep’s Guide: 📎

Video Guide:

Reading Comprehension on the IBEW Aptitude Test

The reading portion of the IBEW aptitude test is not about advanced vocabulary or trick questions.

It is designed to check whether you can:

  • Read carefully
  • Understand written instructions
  • Pull the correct information from a passage
  • Answer questions based only on what you read

Most people struggle with this section not because they can’t read, but because they rush or overthink the questions.

Types of Reading Questions on the IBEW Aptitude Test

The reading portion of the IBEW aptitude test uses a small number of question types, repeated across different passages.

The questions are not tricky, but they are designed to see whether you can:

  • Read carefully
  • Separate facts from assumptions
  • Follow written information exactly

Once you understand the types of questions being asked, the section becomes much more predictable.

1. Main Idea Questions

Main idea questions ask what the passage is mostly about.

They are not asking for:

  • A small detail
  • An example from the passage
  • Your personal opinion

They are asking for the big picture.

You will often see wording like:

  • “What is the main idea of the passage?”
  • “Which statement best summarizes the passage?”
  • “What is the passage primarily about?”

How to approach these:

  • Think about what the author is trying to explain overall
  • Look for ideas repeated or emphasized
  • Ignore answer choices that focus on only one small part

The correct answer should describe the passage as a whole, not just one sentence.

2. Detail Questions

Detail questions ask about specific information stated in the passage.

They are very literal.

Common wording includes:

  • “According to the passage…”
  • “The passage states that…”
  • “Which of the following is mentioned?”

How to approach these:

  • Go back to the passage
  • Find the exact sentence that answers the question
  • Match the answer choice closely to the wording in the text

If you cannot point to a specific line in the passage, it is probably not the correct answer.

3. Inference Questions

Inference questions ask you to figure out what is implied, not directly stated.

This does not mean guessing.

An inference is a conclusion that logically follows from the information given.

Common wording includes:

  • “Which conclusion can be drawn from the passage?”
  • “What can be reasonably inferred?”
  • “The passage suggests that…”

How to approach these:

  • Use only the information in the passage
  • Do not bring in outside knowledge
  • Avoid answers that go too far beyond what’s written

The correct answer will feel like a safe, reasonable step, not a leap.

4. Vocabulary-in-Context Questions

These questions ask what a word means as it is used in the passage.

They are not asking for a dictionary definition.

Common wording includes:

  • “The word ___ most nearly means…”
  • “In this passage, the word ___ is closest in meaning to…”

How to approach these:

  • Reread the sentence containing the word
  • Look at the surrounding sentences for clues
  • Try replacing the word with each answer choice and see which fits

Often, the test uses words that have multiple meanings. Context is what matters.

5. Purpose or Tone Questions

These questions ask why the passage was written or how the author feels about the topic.

Common wording includes:

  • “The purpose of the passage is to…”
  • “The author’s tone can best be described as…”
  • “Why does the author include this information?”

How to approach these:

  • Ask yourself what the passage is trying to do (Explain, warn, describe, instruct)
  • Look at the overall tone, not one sentence
  • Avoid extreme answers (very angry, very emotional, etc.)

Most passages are neutral and informative.

6. Following Instructions Questions

Some passages are written like instructions, procedures, or guidelines.

The questions test whether you can:

  • Follow steps in order
  • Identify conditions or warnings
  • Understand cause-and-effect

Common wording includes:

  • “What should be done first?”
  • “According to the passage, when should ___ occur?”
  • “What happens if a step is skipped?”

How to approach these:

  • Pay attention to sequence words (first, before, after, when)
  • Do not rearrange steps in your head
  • Stick strictly to what is written

These questions are very similar to real-world job instructions.

7. “Which Statement Is Supported” Questions

These questions test whether you can separate facts from assumptions.

Common wording includes:

  • “Which statement is supported by the passage?”
  • “Which of the following is true based on the passage?”

How to approach these:

  • Look for an answer choice that is clearly backed by the text
  • Eliminate answers that add new information
  • Avoid answers that sound reasonable but are not stated

The correct answer will always be supported directly by the passage.

Common Traps to Watch For

Many wrong answers are designed to look tempting. Common traps include:

  • Answers that are true in real life but not stated in the passage
  • Answers that twist the wording slightly
  • Answers that focus on one detail instead of the whole idea
  • Answers that use extreme language (always, never, completely)

When in doubt, go back to the text.

Passage reading

The exam will also give you a short passage to read. After the passage, you will answer several questions about it. The questions are based entirely on the passage. You do not need outside knowledge.

Everything you need to answer the questions is already on the page.

Here are some of the questions you’ll be able to see on the test

Example #1
What is the main idea of the passage?

Example #2
According to the passage, why is a certain procedure important?

Example #3
Which statement is supported by the information in the passage?

These questions are meant to test understanding, not memory or opinion.

Sample reading passage

Read the passage below carefully.

Technical training programs require students to follow written instructions precisely. Misunderstanding these instructions can lead to errors, delays, or safety concerns. For this reason, trainees are expected to read all materials thoroughly before beginning any task.

Sample questions based on the passage

Question #1
What is the main idea of the passage?

A. Training programs are difficult
B. Written instructions are optional
C. Following written instructions is important in training
D. Safety concerns are unavoidable

Correct answer: C

Question #2
According to the passage, what can happen if instructions are misunderstood?

A. Tasks may become easier
B. Errors or delays may occur
C. Training materials are changed
D. Students are tested more often

Correct answer: B

Here’s what you’ll need to learn in order to get these questions right

  • How To Find The Main Idea
    The main idea is what the passage is mostly about.
    It is usually stated clearly, often near the beginning or repeated in different words.

  • How To Answer Based Only On The Passage
    Do not bring in outside knowledge or personal experience.
    If it is not stated or supported in the passage, it is not the correct answer.

  • How To Avoid “Almost Right” Answers
    Some choices sound reasonable but are not fully supported by the text.
    The correct answer will match the passage closely.

  • How To Use The Passage As Proof
    When choosing an answer, you should be able to point to a sentence in the passage that supports it.

  • How To Slow Down Without Running Out Of Time
    Rushing causes more mistakes than reading speed.
    Reading once carefully is usually faster than rereading multiple times.

The reading section is usually very straightforward when you stay focused on the passage.

How to practice for the reading section

The best way to improve reading comprehension for this test is to:

  • Practice reading short passages
  • Answer questions using only the text
  • Get comfortable identifying main ideas and supporting details

Why the reading section matters

The reading portion of the IBEW aptitude test is meant to reflect real-world job situations.

Electricians regularly:

  • Read instructions
  • Interpret safety information
  • Follow written procedures

This section checks whether you can take in written information and use it correctly.

Ready to Prepare the Right Way?

This guide gives you a clear picture of what’s on the IBEW aptitude test and how to approach it. If you want to go further, with structured lessons, realistic practice questions, and step-by-step walkthroughs, Dakota Prep is built specifically for that purpose.

Dakota Prep isn’t generic test prep. It’s designed for people preparing for apprenticeship, journeyman, master, and contractor exams who haven’t been in a classroom in years and want explanations that actually make sense.

With Dakota Prep, you get:

  • Full math and reading lessons broken down step by step
  • Practice questions that match the real test format
  • Video walkthroughs that show how to solve problems without a calculator
  • A clear study path so you know exactly what to focus on

You don’t need to relearn everything; you just need the right tools and the right approach.

If you’re serious about passing your aptitude exam and moving forward in your career, start preparing with Dakota Prep today.

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