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The portion that fails people · 2026

Journeyman Exam Calculations, Worked Step by Step

Texas publishes its exam statistics, and they say the quiet part loudly: the calculations portion passed at about 21% in FY2025. Not because the math is hard — it is arithmetic — but because every calculation family has a fixed procedure, and an undrilled procedure collapses under a clock. Here are the five families, each worked all the way through.

1. Box fill

NEC 314.16 — the box-fill table and the counting rules above it

Pure procedure. Every wrong answer on a box-fill question is a counting mistake, not a math mistake.

Exam-style problem

A device box contains four 12 AWG current-carrying conductors spliced through, one 12 AWG equipment grounding conductor, and one duplex receptacle on 12 AWG. Minimum box volume?

  1. 1Count each conductor that originates outside and is spliced or terminated inside: 4 conductors = 4 allowances.
  2. 2ALL equipment grounding conductors together count as ONE allowance (largest EGC size): +1.
  3. 3Each strap/yoke (the receptacle) counts as TWO allowances at the largest conductor connected to it: +2.
  4. 4Total allowances: 4 + 1 + 2 = 7, all at the 12 AWG volume (2.25 in³ each in the 314.16 table).
  5. 5Multiply: 7 × 2.25 in³.

Answer

15.75 in³ minimum box volume

The trap

The receptacle counting as two, and all grounds together counting as one — the exam writes distractors for candidates who count them per-wire.

2. Conduit fill

NEC Chapter 9, Table 1 (the 40% rule) with Tables 4 (conduit areas) and 5 (wire areas)

Three-table lookups against a clock. The procedure is fixed; speed comes from knowing which table answers which question.

Exam-style problem

How many 10 AWG THHN conductors are permitted in ¾-inch EMT?

  1. 1Three or more conductors → the fill limit is 40% of the conduit's internal area (Chapter 9, Table 1).
  2. 2Table 4 (EMT column): ¾-inch EMT total area ≈ 0.533 in²; its 40% column already shows ≈ 0.213 in².
  3. 3Table 5: one 10 AWG THHN ≈ 0.0211 in².
  4. 4Divide: 0.213 ÷ 0.0211 ≈ 10.09.
  5. 5Fractions are truncated when the count is 3 or more: 10 conductors.

Answer

10 × 10 AWG THHN in ¾" EMT

The trap

Rounding UP. 10.09 becomes 10, never 11 — and the exam always offers the rounded-up number as a distractor. (Annex C pre-computes common combinations; use it when all conductors are the same type.)

3. Ampacity & derating

NEC 310.16 base ampacities; 310.15(C) bundling adjustment; 310.15(B) temperature correction

The Texas data says this family, plus the ones below, is where the 21% pass rate is made. The procedure has a strict ORDER, and the order is what candidates lose.

Exam-style problem

Nine 12 AWG THHN current-carrying conductors share one raceway; ambient is 96°F. What is the adjusted ampacity of each?

  1. 1Start from the conductor's 90°C column ampacity (THHN is a 90°C insulation): 12 AWG THHN = 30 A base.
  2. 2Bundling: 7–9 current-carrying conductors → 70% adjustment (310.15(C)): 30 × 0.70 = 21 A.
  3. 3Ambient: 96°F falls in the 87–95°F… next band; take the 90°C-column correction for 96°F (≈ 0.91): 21 × 0.91 ≈ 19.1 A.
  4. 4Termination check: the final protected ampacity can never exceed the 75°C (or 60°C) termination rating — compare and take the lower.

Answer

≈ 19 A adjusted ampacity per conductor

The trap

Starting from the 75°C column. Derating STARTS at the insulation's 90°C ampacity — that is the entire reason THHN exists — and only the END result is capped by the termination column.

4. Voltage drop

Not a mandatory NEC rule for most circuits — informational notes recommend 3% branch / 5% total. The formula is the exam content.

The one family that is algebra rather than lookup. Two formulas, single-phase and three-phase, and the exam tests whether you picked the right one.

Exam-style problem

A single-phase 240 V circuit runs 150 ft one-way on copper conductors with a 40 A load. Using K = 12.9, what size keeps voltage drop within 3%?

  1. 1Allowed drop: 240 × 0.03 = 7.2 V.
  2. 2Single-phase formula: CM = (2 × K × I × D) ÷ VD.
  3. 3Plug in: CM = (2 × 12.9 × 40 × 150) ÷ 7.2 = 154,800 ÷ 7.2 = 21,500 circular mils.
  4. 4Table 8 (Chapter 9): next size UP from 21,500 CM → 6 AWG (26,240 CM). 8 AWG (16,510 CM) is too small.

Answer

6 AWG copper

The trap

The 2 (single-phase) vs 1.732 (three-phase) multiplier, and using one-way distance — the 2 already accounts for the return path. Doubling the distance AND using 2 is the classic self-inflicted wrong answer.

5. Motor calculations

NEC Article 430: Table 430.248/250 for FLC, 430.22 (conductors), 430.52 (branch protection)

The family with the most counter-intuitive rule set — nameplate current is IGNORED for most of it, and the protection multipliers feel illegally large the first time.

Exam-style problem

A 5 HP, 230 V single-phase motor: size the branch-circuit conductors and the inverse-time breaker.

  1. 1FLC comes from TABLE 430.248, not the nameplate: 5 HP @ 230 V single-phase = 28 A.
  2. 2Conductors (430.22): 125% of FLC → 28 × 1.25 = 35 A minimum conductor ampacity.
  3. 3Branch protection (430.52, inverse-time breaker): up to 250% of FLC → 28 × 2.5 = 70 A.
  4. 4No standard 70 A issue here (70 A is standard); when the calc lands between sizes, 430.52 permits the NEXT size up.

Answer

35 A minimum conductor ampacity; 70 A inverse-time breaker maximum

The trap

A 70 A breaker on conductors rated 35 A looks wrong and is right — motor branch protection covers short-circuit/ground-fault only; the OVERLOAD device protects the wire. The exam preys on the instinct to match breaker to conductor.

Worked with commonly used table values for teaching; your exam runs on the NEC edition named in YOUR state's bulletin, and table values shift between editions — always pull the number from your own code book, which is the open-book skill the exam is actually testing.

Which NEC edition is YOUR exam on?

Not the edition your state enforces on job sites — the one the exam bulletin names. They differ in most states, and every row below was read from the official bulletin on the date shown. Texas switched to the 2026 NEC on September 1, 2026; Tennessee still tests on 2017.

State / examExam NEC editionProviderSource
Texas2026Switched to the 2026 NEC on September 1, 2026 — per the bulletin bannerPSI (TDLR)TDLR Electrician CIB
Alabama2023→ 2026 NEC on January 1, 2027Prov (AECB)AECB board statement
Florida2023→ 2026 NEC on August 21, 2027Pearson VUE (DBPR/ECLB)DBPR approved reference list
Georgia2023Reference list effective through December 31, 2026PSI (CILB)GA Electrical CIB
Louisiana2023PSI (LSLBC)LA Electrical Statewide CIB
Utah2023Prov (DOPL)UT Electrical CIB
Idaho2020 or 2023Either edition may be brought — questions are written edition-safePSI (DBS)ID Electrician CIB
North Carolina2020PSI (NCBEEC)NC Electrical CIB
South Carolina2020PSI (Contractor's Licensing Board)SC Contractor CIB
Virginia2020PSI (DPOR Tradesmen)VA Tradesmen CIB
Washington2020PSI (L&I)WA L&I exam bulletin
Mississippi2020PSI (State Board of Contractors)MS Contractor CIB
New Mexico2020Bulletin dated 2023 — the newest published; re-checked periodicallyPSI (CID)NM Journeyman CIB
Tennessee2017The outlier — still two editions behind most testing statesPSI (Board for Licensing Contractors)TN LLE CIB
NASCLA electrical (multi-state)2020 or 2023Either edition may be brought — journeyman and master/unlimited alikePSI (NASCLA)NASCLA Electrical CIB

Oregon and Montana are deliberately absent: Oregon mails each candidate a private approved-materials letter and publishes no edition, and Montana's board page could not be read directly at verification time. When a bulletin does not state the edition, ask the board — do not infer it from the state building code.

Procedures survive only if you drill them timed

Reading five worked examples feels like competence; the 21% pass rate is made of people who stopped there. The dashboard runs these calculation types as timed drills, tracks which family still slows you down, and scores you against the 70% line before the real thing does.

  • Calculation questions mixed at real exam weight
  • Per-topic accuracy so you see which procedure is still leaking
  • Free tier: 20 questions a day

Calculation questions, answered

How many calculation questions are on the journeyman exam?

It varies by state and format. Texas made it explicit in March 2025 by splitting the exam into a knowledge portion and a calculations portion, each passed separately at 70%. Most other states mix roughly 25–40% calculation-flavored questions into one exam. Either way, the same five families above cover nearly all of them.

Why do so many candidates fail the calculations?

Texas publishes the number: the calculations portion passed at roughly 21% in FY2025. The math is arithmetic — the failures are procedural: starting derating from the wrong column, rounding conduit fill up, using nameplate instead of table FLC. Each procedure is learnable in an afternoon and durable only if drilled against a clock.

Can I use the NEC during the exam?

On most journeyman exams yes — they are open-book, and the calculation questions are designed assuming you will navigate Chapter 9 and Article 430 quickly. That is the real skill being tested: candidates who tab Table 310.16, Chapter 9 Tables 4/5/8, and 430.248/250 before exam day buy themselves minutes per question.

Which NEC edition will my exam use?

Whatever edition your state's exam bulletin names — which is NOT the edition your job sites run in most states. As of September 2026: Texas just flipped to the 2026 NEC, five states test on 2023, seven still test on 2020, and Tennessee still tests on 2017. The verified table on this page lists each bulletin's edition with the source; study and tab THAT edition, because table values move between editions.