[Firefighter] 3, Exam Math: The Traps Are the Wrong Answers

Lesson three of the free Quibank firefighter course: the math section. No calculator, no advanced math — and yet candidates bleed points here, because every wrong answer is engineered from an almost-right calculation. Learn the traps and the section becomes free points for your rank. Trap one: order of operations.

Seven plus six times four minus nine. Work left to right and you get 43 — and 43 is sitting right there in the choices. The rule: multiplication before addition and subtraction. Six times four is 24; seven plus 24 is 31; minus nine is 22.

When an arithmetic answer feels instant, that instant answer is usually the trap. Trap two: fractions. An engine's tank is three-eighths full, and the crew adds water equal to one quarter of the tank. Add the tops and bottoms — three plus one over eight plus four — and you get one-third, which is of course offered.

Fractions only add over a common denominator: one quarter is two-eighths, and three-eighths plus two-eighths is five-eighths. Trap three, and the section's favorite: the complement. A 750 gallon tank discharges 480 gallons — what percent remains? Find what remains first: seven fifty minus four eighty is 270.

Two seventy divided by seven fifty is 36%. And 64% — the percent used — is waiting in the choices for everyone who computed the right number to the wrong question. That trap has a twin: of eight breathing apparatus cylinders, five are refilled — what percent? Five-eighths is 62.5%; the choices include 37.5, the three cylinders that are not.

Same skill, same trap, both directions. The defense is one habit: after you compute, re-read the question's last line and ask — did I find the number they asked for, or its complement? Used or remaining. Refilled or empty.

Part or whole. 10 seconds of checking converts the section's designed traps into everyone else's lost points and your gained rank. And the arithmetic itself: expect percentages as part over whole times 100, fractions over common denominators, areas — a triangle is half its base times its height — and multi-step word problems dressed in fire-station clothing: gallons, cylinders, shift hours, hose lengths. All values come from the question; nothing needs memorizing.

Recap. Multiplication before addition — the instant answer is the trap. Fractions add over a common denominator. And the biggest one: after every computation, check whether they asked for the part you found or its complement.

Drill the full math pool free at quibank.com/firefighter. Next lesson: mechanical reasoning, and the two water rules that answer half the section.