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Worked examples: QCE Essential Mathematics Formula Book
Find the QCAA Essential Mathematics formula book for the common internal assessment, with original worked examples.
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Selected worked examples
Measurement · cylinder volume
Formula or reference: V = πr²h
Units and conditions: Convert radius and height into the same length unit.
Worked example: A cylindrical tank 0.40 m in radius and 1.0 m tall holds about 0.503 m³, or 503 L.
Finance · simple interest
Formula or reference: I = Prn
Units and conditions: r is a decimal rate per period and n counts the same periods.
Worked example: A$900 at 4% annual simple interest for three years earns A$108.
What to work out beyond the sheet
Check whether the question gives a diameter or a radius, and write the units on the intermediate quantities before converting the final answer.
Subject resources · Official past papers · ATAR calculator guide