IL State Trooper study materials
IL State Trooper study resources

IL State Trooper cheat sheet

IL State Trooper · Keep the key ideas within reach.

Quick reference

Reading Comprehension and Written Communication

  • Main idea = the claim the whole passage supports; a detail supports only one part. Test each option: if removing it leaves the passage's point intact, it is a detail, not the main idea.

  • Inference answers must be forced by the text. An option that is merely plausible in real life but not entailed by the passage is wrong.

  • Tone and purpose questions hinge on signal words: 'however', 'although', 'unfortunately' mark contrast or criticism; 'therefore', 'consequently' mark conclusion.

  • Scope check: reject answer choices broader or narrower than the passage (e.g., 'all officers' when the text says 'this unit').

  • For 'EXCEPT' and 'NOT' questions, verify three options against the text and eliminate; the leftover is the answer.

  • Sequence questions: locate time markers (first, after, before, meanwhile) and map events to a timeline before reading the options.

  • Author's attitude is usually stated once and implied elsewhere; a single strongly negative or positive adjective often sets the whole tone.

  • Vocabulary-in-context: substitute each option into the original sentence and keep the one that preserves the sentence's logic, not the most common dictionary sense.

Quick reference

Grammar, Vocabulary, and Spelling

  • Subject-verb agreement: the verb agrees with the head noun, not the nearest noun. 'The box of reports is' - 'of reports' is a prepositional phrase and does not control the verb.

  • Collective nouns (team, jury, department) take a singular verb when acting as one unit: 'The department has issued...'.

  • Pronoun case: after a preposition or as an object, use objective case (between you and me; for whoever/whomever test with 'he/him').

  • Dangling modifier rule: an introductory participial phrase must describe the subject of the main clause. 'Walking to the car, the radio was loud' is wrong because the radio was not walking.

  • Parallel structure: items joined by and/or must share grammatical form - 'filing, typing, and answering phones', not 'filing, typing, and to answer phones'.

  • Comma splice: two independent clauses need a period, semicolon, or coordinating conjunction; a comma alone is an error.

  • Commonly misspelled law-enforcement terms: judgment (no e after g), occurrence (double c, double r), maintenance (no 'maintainance'), separate (par-a, not per-a), defendant, affidavit, subpoena, misdemeanor.

  • Affect is usually a verb (to influence); effect is usually a noun (a result). Principal = main or school head; principle = rule.

Quick reference

Mathematics and Quantitative Reasoning

  • Percent change = (new − old) ÷ old × 100. A 20% decrease followed by a 20% increase does not return to the original value; the net change is −4%.

  • Distance/speed/time: d = r × t. Convert minutes to hours before multiplying (45 min = 0.75 h).

  • Average (mean) = sum ÷ count; to find a missing value, multiply the mean by the count and subtract the known values.

  • Ratios: set up a proportion a/b = c/d and cross-multiply. Scale maps use the same proportion with unit conversion.

  • Work-rate formula: combined rate = 1/a + 1/b; time together = 1 ÷ (1/a + 1/b).

  • Area and perimeter: rectangle A = lw, P = 2(l + w); triangle A = ½bh; circle C = 2πr, A = πr².

  • Unit conversion chains: cancel units diagonally (miles/hour × hours = miles). Watch for mixed units (feet vs. inches, minutes vs. hours).

  • Order of operations: parentheses, exponents, multiplication/division left to right, addition/subtraction left to right.

  • Estimation shortcut: round to one significant figure to eliminate impossible answer choices before computing exactly.

Quick reference

Logic, Reasoning, and Problem Solving

  • Conditional 'If P then Q' permits only two valid inferences: P therefore Q (modus ponens) and not-Q therefore not-P (modus tollens). 'Not-P therefore not-Q' is the fallacy of denying the antecedent.

  • Contrapositive is logically equivalent to the original conditional; converse (Q→P) and inverse (not-P→not-Q) are not equivalent.

  • Deductive reasoning moves from general rule to specific case and yields certainty; inductive reasoning moves from specific observations to a general rule and yields probability only.

  • 'Some' means at least one, possibly all. 'All A are B' does not imply 'all B are A'.

  • Syllogism check: draw a Venn diagram of the premises; a conclusion is valid only if it must hold in every diagram satisfying the premises.

  • Ordering puzzles: build a fixed list of positions and record constraints (A before B, C immediately after D); test each answer choice against all constraints.

  • Correlation is not causation; a third variable or reverse causation can explain an observed association.

  • Necessary vs. sufficient: a necessary condition must be present but may not be enough; a sufficient condition guarantees the result.

Quick reference

Observation, Memory, and Visual Analysis

  • Encoding improves with distinctive features: record unusual marks, scars, height relative to surroundings, and clothing layers rather than generic descriptions.

  • Weapon focus effect: attention narrows to the threat, degrading memory for faces and peripheral detail; report confidence is a weak predictor of accuracy.

  • Simultaneous (lineup) presentation increases relative judgments; sequential presentation reduces false identification by forcing an absolute standard.

  • Cross-race identification is less accurate on average; description should note this limitation without dismissing the witness.

  • Visual analysis of a scene: scan systematically (left to right, top to bottom, or foreground to background) so no region is skipped.

  • Change blindness: unattended details can change undetected; compare specific landmarks rather than relying on a general impression.

  • Memory decay and post-event information contaminate recall; record the witness's first account before asking leading questions.

  • Time estimation under stress is unreliable; use external anchors (call logs, surveillance timestamps) rather than subjective duration.

Quick reference

Situational Judgment and Decision Making

  • Priority order in most scenarios: officer and public safety first, then preservation of life, then enforcement and evidence, then administrative reporting.

  • Use of force must be objectively reasonable, necessary, and proportional to the threat; de-escalation and time/distance are preferred when feasible.

  • When a policy conflicts with a supervisor's order, follow lawful policy and report the conflict through the chain of command; do not obey an unlawful order.

  • Documentation timing: secure the scene, render aid, then write the report while details are fresh; never alter a report after submission without a documented supplement.

  • Discretion factors: severity of offense, threat level, victim wishes, and statutory mandates (e.g., mandatory arrest for certain domestic violence offenses).

  • If unsure of legal authority, the safer course is to consult a supervisor or legal advisor before acting, unless immediate safety requires action.

  • Bias check: base decisions on observed behavior and articulable facts, not on race, gender, age, or neighborhood.

  • Escalation of a situation is justified only by a change in the subject's behavior or new information, not by frustration.

Quick reference

Interpersonal Skills, Ethics, and Integrity

  • Active listening: paraphrase the speaker's content and reflect emotion before responding; this reduces defensiveness and gathers accurate information.

  • Integrity means doing the right thing when unobserved; accepting a small gratuity creates a duty of reciprocity and is generally prohibited.

  • Conflict de-escalation techniques: lower voice volume, use the person's name, acknowledge their concern, offer choices within limits.

  • Confidentiality: share information only on a need-to-know basis; unauthorized disclosure can compromise investigations and violate policy.

  • Truthfulness in reports is non-negotiable; a single fabrication undermines every case the officer touches and can be a criminal offense.

  • Peer intervention (duty to intervene) applies when a colleague uses excessive force or engages in misconduct; report through the chain of command.

  • Cultural and communication differences affect perception of eye contact, personal space, and tone; misinterpretation can escalate encounters.

  • Ethical dilemmas often test competing goods; identify the duty owed to the public, the agency, and the individual, then choose the option that satisfies the most binding duty.

Quick reference

Law Enforcement Orientation and Report Writing

  • A report must answer who, what, when, where, why, and how, plus the disposition (arrest, citation, referral, no action).

  • Write in past tense, first person, active voice, and chronological order; avoid jargon and conclusory language such as 'the subject was disorderly' without describing the conduct.

  • Quote verbatim statements in quotation marks; paraphrase without quotation marks only when the meaning is preserved and attributed.

  • Record exact times, locations, names, dates of birth, and evidence chain of custody; approximate values must be labeled as approximate.

  • Avoid pronouns with ambiguous antecedents ('he' referring to either of two males); repeat the name or use a distinguishing label.

  • Distinguish observation from opinion: 'I observed the subject sway and smell of alcohol' rather than 'the subject was intoxicated'.

  • Report facts that support each element of the offense charged; missing elements are the most common reason a report fails review.

  • Corrections are made with a single line through the error, initials, and date; never obliterate or use correction fluid.

Quick reference

Physical Fitness and Agility Standards

  • Physical ability tests typically include a timed obstacle/agility course, a 1.5-mile or 2-mile run, push-ups, sit-ups, and a vertical jump or sit-and-reach; standards vary by agency and are usually sex- and age-normed.

  • Cardiorespiratory endurance is trained by continuous aerobic work at 60–80% of maximum heart rate, 3–5 sessions per week, 20–60 minutes per session.

  • Muscular endurance (push-ups, sit-ups) improves with higher-repetition sets (15–30 reps) and short rest intervals; strength improves with lower reps and heavier load.

  • Progressive overload: increase volume or intensity by roughly 5–10% per week to avoid injury and plateaus.

  • Agility and change-of-direction drills (shuttle runs, cone drills, ladder work) train the deceleration and cutting skills tested on obstacle courses.

  • Flexibility work should follow a warm-up; static stretching before maximal effort can temporarily reduce power output.

  • Taper 5–7 days before a test: reduce volume while keeping intensity, and prioritize sleep and hydration.

  • Hydration and heat: even 2% body-mass fluid loss impairs endurance performance; pre-hydrate and avoid alcohol before testing.