IBEW Aptitude Test study plan
IBEW Aptitude Test · Give each week a clear focus.
8 weeks · About 7 hours per week
Algebra
Solve one-variable linear equations with integer, fraction, and decimal coefficients without a calculator, showing each inverse operation
Rearrange literal equations (for example, solve for R in 1/R = 1/R1 + 1/R2) to isolate any variable
Translate short word problems into a single equation and check the answer against the original wording
Build a personal error log that labels each missed problem by cause: sign, distribution, fraction, or setup
Your checkpoint
A timed 25-question algebra set (equations and literal equations) completed at 80% or better, with the error log filled in for every miss
Algebra
Simplify expressions with exponents using product, quotient, and power rules, including negative exponents
Add, subtract, multiply, and factor polynomials, including difference of squares and simple trinomials
Solve quadratic equations by factoring and by the quadratic formula, and state why one method was chosen
Solve systems of two linear equations by substitution and by elimination, and interpret the solution point
Your checkpoint
A one-page formula and factoring reference sheet written in your own words, plus a 20-question polynomial and quadratic set scored at 80% or better
Algebra & Functions and Graphs
Solve single linear inequalities and compound inequalities, then express the answer on a number line
Solve proportions and direct-variation problems, including unit-rate conversions used in electrical work
Plot points and graph lines from slope-intercept and standard form by hand on graph paper
Compute slope from two points and decide whether two lines are parallel, perpendicular, or neither
Your checkpoint
A hand-drawn graph packet of 10 lines and 5 inequalities, each labeled with slope, intercepts, and a one-sentence description of the relationship to a partner line
Functions and Graphs
Evaluate function notation, including composite and inverse functions given as tables or rules
Identify domain and range from equations and from hand-drawn graphs, and flag excluded values
Read linear, quadratic, and simple exponential graphs to answer intercept, maximum, and rate-of-change questions
Solve function word problems involving cost, distance, and time without relying on a graphing calculator
Your checkpoint
A 30-question functions and graphs practice test completed in 45 minutes at 75% or better, with every wrong answer reworked on a separate sheet
Functions and Graphs & Reading Comprehension
Interpret slope and intercept as real quantities in applied graphs, such as a cost-versus-hours line
Skim a passage for its main idea before reading questions, then answer main-idea items in under 90 seconds each
Locate explicit detail answers by pointing to the exact sentence that supports the choice
Separate a claim from its supporting evidence in short technical and workplace passages
Your checkpoint
Five timed reading passages (four questions each) scored at 80% or better, with the supporting sentence underlined for every correct answer
Reading Comprehension
Define unfamiliar words from context clues rather than memory, and justify each choice with the surrounding sentence
Draw valid inferences from a passage and reject choices that go beyond what the text states
Identify an author's purpose and tone, and match each to the wording that signals it
Summarize a 300-word technical passage in three sentences that keep the main claim and key figures
Your checkpoint
A written log of 20 practice reading questions showing the question type, correct answer, and the text evidence used, with an overall accuracy of 80% or better
Mechanical Comprehension
Predict the direction of motion or force in lever, pulley, and inclined-plane setups using torque and mechanical advantage
Explain how gears and belt drives change speed and torque, and compute simple gear ratios
Apply the relationship among force, pressure, and area in hydraulic and pneumatic examples
Trace energy and heat flow in basic electrical and mechanical systems, and distinguish conductors from insulators
Interpret simple tool and machine diagrams, naming the class of lever and the fulcrum, load, and effort points
Your checkpoint
A scored 30-question mechanical comprehension set at 75% or better, plus a hand-sketched diagram for each missed item showing the correct force direction
Algebra & Functions and Graphs & Reading Comprehension & Mechanical Comprehension
Take two full-length timed mixed practice tests under exam conditions with no calculator or notes
Rank missed questions by domain and rework the top three error patterns from the week 1 error log
Drill weak algebra and functions items until two consecutive short sets are error-free in those categories
Rehearse a pacing plan that allocates time per section and reserves five minutes for review
Your checkpoint
A final score report across both full-length tests showing at least 80% overall and no domain below 70%, with a one-page list of remaining weak spots and the drill used to fix each
Milestones
Week 2: Score 80% or better on a 20-question algebra-only set covering equations, exponents, polynomials, and quadratics, with no calculator
Week 4: Complete the 30-question functions and graphs test in 45 minutes at 75% or better and correctly rework every missed item
Week 6: Reach 80% accuracy on timed reading passages and show text evidence for every correct answer in the reading log
Week 8: Average 80% or better across two full-length timed mixed tests, with no single domain below 70%