Geometry, Formulas, Word Problems, and Scratch-Paper Strategy
Math practice also tests formulas, geometry, area, volume, distance, work-rate problems, and organizing work under time pressure.
How to study for the SIFT
Use the seven SIFT subtests as your map: build fast visual accuracy, then rotate aviation knowledge, spatial orientation, reading, math, and mechanical reasoning.
Core concepts
Concept 1
Geometry, Formulas, Word Problems, and Scratch-Paper Strategy questions reward the answer that follows the official source, the professional role, and the stated facts.
Exam cue: Identify the candidate role, client or public risk, source rule, calculation, or process step being tested.
Concept 2
The strongest answer identifies the rule, safety concern, ethical duty, calculation, client factor, or process step before acting.
Exam cue: Check whether the fact pattern is using a national standard, jurisdiction rule, handbook policy, or scenario-specific instruction.
Concept 3
Eliminate answers that ignore requirements, skip documentation, overreach the role, or treat convenience as the standard.
Exam cue: Choose the compliant and professionally scoped answer before the convenient or familiar answer.
Risk pitfalls and guardrails
Treating related standards as interchangeable without checking the source.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Skipping screening, documentation, authorization, sanitation, recordkeeping, or other required procedure.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Choosing an answer that protects convenience instead of client safety, public protection, or the stated professional duty.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Memory anchors
Formula
A formula expresses a mathematical relationship using symbols.
Area
Area measures the surface inside a two-dimensional figure.
Volume
Volume measures space inside a three-dimensional figure.
Pythagorean Relationship
The Pythagorean relationship connects the sides of a right triangle.
Word Problem Setup
Word problem setup turns text into variables, operations, and units.
Distance Formula
Distance problems often use distance equals rate times time.
Work Rate
Work-rate problems combine how fast people or machines complete a task.
Scratch Paper
Scratch paper should show units, intermediate values, and a quick reasonableness check.
Triangle Area
Triangle area is one-half base times perpendicular height.
Circle Measures
Circle circumference is two pi r; circle area is pi r squared.
Similar Figures
Corresponding lengths in similar figures share one scale factor.
Slope
Slope is vertical change divided by horizontal change between two points.
Squared Conversion
Area conversions square the linear conversion factor; volume conversions cube it.
Elapsed Time
Convert all time values to one unit before adding or subtracting schedule intervals.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
A rectangle is 14 feet long and 9 feet wide. What is its perimeter?
A rectangular floor measures 18 feet by 12 feet. What is its area?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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