Free practice test — 12 questions with full explanations
Original CraftPATH practice questions. These are not real exam questions. Every answer includes the reasoning, why each wrong option fails, the code area it comes from, and the misconception it targets.
Question 1. Solve for x: 7x - 12 = 30
Algebra Fundamentals · Easy · Objective: Solve a one-step linear equation.
- A. x = 6 (correct)
- B. x = 42/7
- C. x = 2.57
- D. x = 18
Correct answer: A. x = 6
Why this is right: Add 12 to both sides to get 7x = 42, then divide by 7 to get x = 6. Isolate the variable term first, then divide by its coefficient.
Why the other options are wrong:
- B. x = 42/7 — 42/7 is an unsimplified intermediate step, and aptitude answer keys expect the reduced value 6.
- C. x = 2.57 — 18/7 = 2.57 comes from subtracting 12 instead of adding it.
- D. x = 18 — 18 comes from 30 - 12 without dividing by 7.
Where this shows up on the job: Apprentices rearrange formulas like this constantly, for example solving V = IR for R on a service call.
Code reference: Algebra: solving linear equations
Common misconception: Moving a term across the equals sign without changing its sign.
Question 2. Simplify: (3x^2)(4x^3)
Algebra Fundamentals · Medium · Objective: Work with exponents.
- A. 12x^5 (correct)
- B. 7x^5
- C. 12x^6
- D. 12x^{2/3}
Correct answer: A. 12x^5
Why this is right: Multiply the coefficients 3 x 4 = 12 and add the exponents on the like base, 2 + 3 = 5, giving 12x^5.
Why the other options are wrong:
- B. 7x^5 — 7 comes from adding the coefficients instead of multiplying them.
- C. 12x^6 — x^6 comes from multiplying exponents, which is the rule for a power raised to a power, not a product.
- D. 12x^{2/3} — Dividing exponents is not a valid operation here.
Where this shows up on the job: Exponent rules show up in conduit fill, area and power calculations later in the apprenticeship.
Code reference: Algebra: laws of exponents
Common misconception: Confusing the product rule with the power rule.
Question 3. The formula P = I^2 R is solved for R as:
Algebra Fundamentals · Hard · Objective: Rearrange a formula.
- A. R = P / I^2 (correct)
- B. R = P I^2
- C. R = I^2 / P
- D. R = sqrt(P / I)
Correct answer: A. R = P / I^2
Why this is right: Divide both sides by I^2. Whatever multiplies the variable you want gets divided out of both sides.
Why the other options are wrong:
- B. R = P I^2 — Multiplying instead of dividing reverses the operation.
- C. R = I^2 / P — This inverts the correct ratio.
- D. R = sqrt(P / I) — A square root is not introduced when solving for R; it appears when solving for I.
Where this shows up on the job: Electricians rearrange the power formulas daily to size conductors and check loads.
Code reference: Algebra: literal equations
Common misconception: Taking a square root that the algebra does not call for.
Question 4. A crew installs 18 fixtures in 4 hours. At the same rate, how many fixtures will they install in a 10-hour day?
Linear Equations and Word Problems · Medium · Objective: Set up a rate word problem.
- A. 45 (correct)
- B. 40
- C. 72
- D. 36
Correct answer: A. 45
Why this is right: The rate is 18/4 = 4.5 fixtures per hour. Multiply by 10 hours to get 45 fixtures.
Why the other options are wrong:
- B. 40 — 40 comes from rounding the rate to 4 per hour.
- C. 72 — 72 comes from multiplying 18 by 4 instead of scaling the rate.
- D. 36 — 36 comes from doubling 18 without using the actual hours.
Where this shows up on the job: Production rates like this are how foremen build a daily plan and how estimators price labor.
Code reference: Algebra: rates and proportional reasoning
Common misconception: Rounding the rate before multiplying.
Question 5. Two apprentices pull wire together. Working alone, one would finish a run in 6 hours and the other in 12 hours. Working together, the run takes:
Linear Equations and Word Problems · Hard · Objective: Solve a mixture-style word problem.
- A. 4 hours (correct)
- B. 9 hours
- C. 3 hours
- D. 18 hours
Correct answer: A. 4 hours
Why this is right: Add the rates: 1/6 + 1/12 = 3/12 = 1/4 of the job per hour, so the whole job takes 4 hours.
Why the other options are wrong:
- B. 9 hours — 9 is the average of 6 and 12, which is not how combined work rates behave.
- C. 3 hours — 3 would require both to be faster than either actually is.
- D. 18 hours — 18 adds the times, which is the opposite of what teamwork does.
Where this shows up on the job: Combined-rate reasoning is how a foreman decides whether adding a second hand actually pulls a task back on schedule.
Code reference: Algebra: combined work rate problems
Common misconception: Averaging the times instead of adding the rates.
Question 6. What number comes next: 3, 6, 12, 24, ___
Functions, Ratios and Number Series · Medium · Objective: Continue a number series.
- A. 48 (correct)
- B. 36
- C. 30
- D. 96
Correct answer: A. 48
Why this is right: Each term is the previous term multiplied by 2, so 24 x 2 = 48. Test for a common ratio when differences keep growing.
Why the other options are wrong:
- B. 36 — 36 assumes a constant difference of 12, which does not hold earlier in the series.
- C. 30 — 30 assumes a difference of 6.
- D. 96 — 96 skips a term by doubling twice.
Where this shows up on the job: Series questions test pattern recognition, the same skill used to read a repeating conduit layout or a load schedule.
Code reference: Aptitude: number series
Common misconception: Looking for a constant difference in a geometric series.
Question 7. If f(x) = 2x + 5, then f(3) - f(1) equals:
Functions, Ratios and Number Series · Hard · Objective: Interpret a function relationship.
- A. 4 (correct)
- B. 6
- C. 10
- D. 2
Correct answer: A. 4
Why this is right: f(3) = 11 and f(1) = 7, so the difference is 4. Because the function is linear with slope 2, the difference over two units of x is 2 x 2 = 4.
Why the other options are wrong:
- B. 6 — 6 comes from subtracting the inputs after doubling incorrectly.
- C. 10 — 10 is f(3) minus 1 rather than minus f(1).
- D. 2 — 2 is the slope, not the change over two units.
Where this shows up on the job: Linear functions describe voltage drop, cost per foot and many other on-the-job relationships.
Code reference: Algebra: function evaluation
Common misconception: Subtracting the inputs instead of the outputs.
Question 8. A drawing is scaled so that 1/4 inch represents 1 foot. A wall measured on the drawing at 5 inches is actually:
Functions, Ratios and Number Series · Medium · Objective: Apply ratio and proportion.
- A. 20 feet (correct)
- B. 5 feet
- C. 1.25 feet
- D. 10 feet
Correct answer: A. 20 feet
Why this is right: Each inch on the drawing equals 4 feet, so 5 inches equals 20 feet. Set up the proportion 0.25 in / 1 ft = 5 in / x ft and solve.
Why the other options are wrong:
- B. 5 feet — 5 feet ignores the scale entirely.
- C. 1.25 feet — 1.25 feet divides by 4 instead of multiplying.
- D. 10 feet — 10 feet uses a 1/2 inch scale.
Where this shows up on the job: Scale reading is a daily task once you are taking dimensions off a print in the field.
Code reference: Aptitude: ratio, proportion and scale
Common misconception: Inverting the scale factor.
Question 9. A passage states that an apprenticeship combines paid on-the-job training with related classroom instruction, and that wages increase as the apprentice completes hours and coursework. The main idea is best summarized as:
Reading Comprehension · Medium · Objective: Identify the main idea of a passage.
- A. Apprenticeship pairs paid work with classroom study, and pay rises with documented progress (correct)
- B. Apprentices are not paid until they finish
- C. Classroom instruction replaces field work
- D. Only classroom grades determine wages
Correct answer: A. Apprenticeship pairs paid work with classroom study, and pay rises with documented progress
Why this is right: The main idea restates both elements of the passage, paid work plus related instruction, and the stated relationship between documented progress and wages.
Why the other options are wrong:
- B. Apprentices are not paid until they finish — The passage says the on-the-job training is paid.
- C. Classroom instruction replaces field work — The passage describes classroom instruction as related to, not a replacement for, field work.
- D. Only classroom grades determine wages — Wages track completed hours and coursework together, not grades alone.
Where this shows up on the job: Aptitude reading sections use passages about training, safety rules and work procedures, the same registers you read on the job.
Code reference: Aptitude: reading comprehension, main idea
Common misconception: Selecting a detail from the passage instead of its overall point.
Question 10. A passage explains that a safety procedure must be completed before energizing equipment, and that a second qualified person verifies each step. It is reasonable to infer that:
Reading Comprehension · Hard · Objective: Draw an inference from a passage.
- A. The procedure treats verification by another person as a safeguard against a single individual's error (correct)
- B. Verification is optional if you are experienced
- C. The procedure applies only to new equipment
- D. Energizing first and checking after is acceptable
Correct answer: A. The procedure treats verification by another person as a safeguard against a single individual's error
Why this is right: Requiring a second qualified person to verify each step implies the process is designed so that one person's mistake does not go uncaught. That is an inference the passage supports without stating it.
Why the other options are wrong:
- B. Verification is optional if you are experienced — Nothing in the passage creates an experience exemption.
- C. The procedure applies only to new equipment — The passage does not limit the procedure to new equipment.
- D. Energizing first and checking after is acceptable — The passage explicitly places the procedure before energizing.
Where this shows up on the job: Inference questions mirror how you must read a procedure or a code note and act on what it implies, not just what it lists.
Code reference: Aptitude: reading comprehension, inference
Common misconception: Adding an exception the text never grants.
Question 11. Two workers carry a load on a plank supported at both ends. Moving the load closer to one end will:
Mechanical and Practical Reasoning · Medium · Objective: Apply basic mechanical reasoning.
- A. Increase the share of the load carried at the nearer end (correct)
- B. Split the load evenly regardless of position
- C. Reduce the total load
- D. Increase the total load
Correct answer: A. Increase the share of the load carried at the nearer end
Why this is right: Support reactions depend on distance. As the load moves toward one support, that support carries a larger share while the total remains the same.
Why the other options are wrong:
- B. Split the load evenly regardless of position — An even split only happens when the load sits at the midpoint.
- C. Reduce the total load — Moving a load does not change its weight.
- D. Increase the total load — Total weight is unchanged by position.
Where this shows up on the job: The same reasoning governs how you rig a load, place a ladder, or size a beam's end bearing.
Code reference: Aptitude: mechanical reasoning, moments and reactions
Common misconception: Assuming supports always split a load evenly.
Question 12. Registered apprenticeship programs are typically characterized by:
Applying to an Apprenticeship · Easy · Objective: Understand the apprenticeship pathway.
- A. Paid on-the-job training combined with related classroom instruction and progressive wage increases (correct)
- B. Unpaid internships
- C. Classroom-only programs with no field work
- D. A single certification exam with no training
Correct answer: A. Paid on-the-job training combined with related classroom instruction and progressive wage increases
Why this is right: A registered apprenticeship pairs paid employment and supervised on-the-job hours with related technical instruction, and wage progression is tied to documented advancement.
Why the other options are wrong:
- B. Unpaid internships — Registered apprenticeships are paid positions.
- C. Classroom-only programs with no field work — Field hours are the core of the model.
- D. A single certification exam with no training — Apprenticeships are multi-year training programs, not a single exam.
Where this shows up on the job: Understanding the structure helps you compare a union JATC program against a nonunion or state-registered program before you apply.
Code reference: U.S. Department of Labor apprenticeship program standards
Common misconception: Confusing an apprenticeship with an unpaid internship.
How to study for an electrical apprenticeship aptitude test
Rebuild algebra before anything else
The math section is the part most applicants lose points on, and it is almost entirely algebra I and II: linear equations, exponents, rearranging formulas, ratios and word problems. If it has been years since a math class, spend the first two weeks doing nothing but untimed algebra drills until the mechanics are automatic.
Practice word problems by writing the equation first
Most misses on word problems are setup errors, not arithmetic errors. Force yourself to write the equation before you compute anything. Rate problems, combined work problems and percentage problems each have a standard setup worth rehearsing until you recognize them on sight.
Learn the series patterns
Number series items test three or four patterns: constant difference, constant ratio, alternating operations, and differences that themselves form a pattern. Check for a common ratio whenever the differences keep growing, and check the second differences when the first differences look irregular.
Read for structure, not speed
On the reading section, identify what the question is actually asking, main idea, specific detail, or inference, before you go back to the passage. Wrong answers are usually true statements from the passage that do not answer the question asked.
Train under a clock in the last two weeks
Untimed accuracy comes first, then timing. In the final two weeks, do full timed sets so you learn your pace, practice skipping and returning, and stop losing easy points at the end of a section.
Handle the application, not just the test
Programs typically accept applications during a limited window, require transcripts and documentation, and rank applicants by test score plus interview. Find your local program early, note the window, and gather documents before you sit for the test.
Frequently asked questions
Do I need electrical knowledge to pass the aptitude test?
No. The screening measures algebra, reasoning and reading comprehension. You are not expected to know the National Electrical Code or any trade practice before you enter the program.
What math is on an electrical apprenticeship aptitude test?
Primarily algebra and functions: solving linear equations, exponents, rearranging formulas, ratios and proportions, word problems and number series. High school algebra I and II is the right target.
Is there a reading section?
Yes. Programs commonly include a reading comprehension section using technical or expository passages, testing main idea, detail, inference and vocabulary in context.
What score do I need?
Minimum qualifying scores are set by the local program, and applicants above the cut are ranked by score and interview. We mark the cut score as pending rather than guessing, because it varies by sponsor.
Can I retake the test if I do not qualify?
Most programs allow a retest after a waiting period, but the length of that period is set locally. Check the application packet from the program you are applying to.
Are these real aptitude test questions?
No. Every question here is original CraftPATH material written to the commonly published subject areas. We do not reproduce any test vendor's content, and CraftPATH is not affiliated with any apprenticeship sponsor.
What is a registered apprenticeship?
A registered apprenticeship combines paid on-the-job training under supervision with related technical instruction, with wages increasing as you complete documented hours and coursework. Programs are registered with the U.S. Department of Labor or a state apprenticeship agency.