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Applied & Exam

Scales, bearings, formula revision and HKDSE-style timed practice.

25 lessons

1Geometry formula sheet with quick checksApplied & Exam · Mr Wong · triangle area = (1/2)bh2A timed geometry plan for HKDSE-style papersApplied & Exam · Mr Wong · accuracy first, then speed3Bearings and a right-triangle journeyApplied & Exam · Ms Tam · bearing measured clockwise from north4Map scales and real distancesApplied & Exam · Ms Tam · real length = map length × scale factor5Command words: find, show, explain, henceApplied & Exam · Mr Wong · read the verb before calculating6Annotating the exam diagram in the first minuteApplied & Exam · Ms Tam · given → mark → plan → calculate7A 30-second unit and scale checkApplied & Exam · Mr Wong · length / area / volume → unit8Map scales and area factorsApplied & Exam · Ms Tam · area factor = (length factor)²9Back bearings and reverse journeysApplied & Exam · Mr Wong · back bearing = bearing ± 180° (mod 360°)10Percentage error in a measured lengthApplied & Exam · Ms Tam · % error = (|approx − true|/true)×100%11Two-pass timing for a mixed geometry paperApplied & Exam · Mr Wong · pass 1 easy marks → pass 2 constructions12Roof pitch as a right triangleApplied & Exam · Ms Tam · tan θ = rise/run13Ladder against a wallApplied & Exam · Ms Ho · ladder² = height² + base²14Heights from shadows with similar trianglesApplied & Exam · Ms Tam · h₁/s₁ = h₂/s₂15Water tank problems with consistent unitsApplied & Exam · Ms Tam · 1 m³ = 1000 L16Keeping a one-week geometry error logApplied & Exam · Mr Wong · classify → correct → retest17Choosing formulas by the quantity namedApplied & Exam · Mr Wong · target quantity → formula family18Exact trig values you should not calculatorApplied & Exam · Ms Ho · sin30=1/219Paint coverage from surface areaApplied & Exam · Ms Tam · litres = area / coverage20Layout that earns method marksApplied & Exam · Mr Wong · formula → substitute → simplify → conclude21Compound shapes: add and subtract areasApplied & Exam · Ms Ho · A = A₁ + A₂ − overlap22Spider-and-fly shortest path on wallsApplied & Exam · Mr Wong · shortest path = straight line on a suitable net23Rounding lengths without wrecking the next stepApplied & Exam · Mr Wong · round at the end24Calculator degree mode and inverse trigApplied & Exam · Ms Ho · θ = tan⁻¹(opp/adj) in DEG mode25Estimating before calculatingApplied & Exam · Ms Tam · estimate → calculate → compare