IBEW Aptitude Test Math Section — Complete Breakdown With Examples
The math section is the single biggest reason applicants fail the IBEW aptitude test — in the pre-apprenticeship cohorts I teach in Chicago, roughly 70% of first-attempt failures trace to it. The good news: the topics are predictable, standard, and learnable. The bad news: no calculator, tight clock, and word problems that trip up adults who haven’t done long-form arithmetic since high school.
The test maker is explicit about what this section measures. The electrical training ALLIANCE’s official sample-test instructions describe it plainly: “This is a test of your ability to solve problems using algebra.” Work through those official samples first — then use the drills below to build speed.
What Math Topics Appear
- Fractions — add, subtract, multiply, divide; mixed and improper
- Decimals and rounding
- Percentages and percent change
- Ratios and proportions
- Basic algebra — solve for x
- Order of operations (PEMDAS)
- Applied word problems
Fractions — Worked Examples
Example 1
3/4 + 5/8. Common denominator 8: 6/8 + 5/8 = 11/8 = 1 3/8.
Example 2
7/12 − 1/4. Common denominator 12: 7/12 − 3/12 = 4/12 = 1/3.
Example 3
2/3 × 3/4. Multiply numerators and denominators: 6/12 = 1/2.
Algebra — 5 Examples
1. 3x + 7 = 22
Subtract 7: 3x = 15. Divide by 3: x = 5.
2. 5x − 12 = 38
Add 12: 5x = 50. Divide by 5: x = 10.
3. 2(x − 3) = 14
Distribute: 2x − 6 = 14. Add 6: 2x = 20. x = 10.
4. x/4 + 5 = 11
Subtract 5: x/4 = 6. Multiply by 4: x = 24.
5. 3x − 2 = x + 8
Subtract x: 2x − 2 = 8. Add 2: 2x = 10. x = 5.
Percentages and Ratios
15% of 240
10% = 24. 5% = 12. Sum: 36.
Ratio: 3 ft of wire per 2 ft of conduit
14 ft of conduit = 14/2 = 7 units × 3 ft = 21 ft of wire.
The Calculator Rule
Time Management Tips
- Aim for 60 seconds per question — that buys you slack for harder ones
- If a question is taking 90+ seconds, mark and move on
- Easy questions and hard questions are scored the same — collect easy points first
- Never leave a question blank — no penalty for guessing
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Frequently Asked Questions
What math is on the IBEW aptitude test?
Fractions (add/subtract/multiply/divide), percentages and ratios, basic algebra (solve for x), order of operations, and applied word problems. No calculator allowed.
How many math questions are on the IBEW aptitude test?
33 questions in 46 minutes. That works out to about 84 seconds per question. The math section is the most heavily weighted on the exam.
How do I study for the IBEW math section?
Practice every fraction and algebra problem by hand for 20-30 minutes daily for 3-4 weeks. Build pace with timed sets. Identify your weakest sub-topic and drill it specifically.
Related Resources

Michael Briglio
IBEW Local 134 Journeyman · Licensed Contractor · IL Educator
Michael started in the IBEW at 18 and made foreman as a 3rd-year apprentice. Thirteen years in, he’s a Local 134 journeyman, a licensed electrical contractor, a licensed Illinois teacher, and OSHA 30 and EPA 608 certified. He teaches a federally recognized pre-apprenticeship on the south side of Chicago — where he’s helped 100+ students get into the IBEW. He built Sparky AI around exactly what the NJATC exam tests and what trips people up. Prep with this and you walk in ready.
Facts on this page trace to primary sources or first-hand IBEW Local 134 experience — see sources & methodology.
