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NSWMaths Standard 2Quick questions
Year 12: Measurement
Quick questions on Rates, unit conversions and the unitary method for HSC Maths Standard 2
13short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is what a rate is?Show answer
A rate compares two quantities with different units, expressed per single unit of the denominator.
What is the unitary method?Show answer
To solve "if produces , how much does produce", scale by the ratio :
What is metric conversions?Show answer
Divide to go the other way. For area, the factor is squared (1 m = cm); for volume it is cubed (1 m = L).
What is fuel consumption?Show answer
Standard Australian unit: litres per km. Smaller is better.
What is energy use (kWh)?Show answer
Household electricity is billed in kilowatt-hours (kWh). One kWh is the energy used by a watt appliance running for hour.
What is dosage calculations?Show answer
For weight-based dosing: total dose = (mg per kg) patient weight (kg).
What is air-conditioner running cost?Show answer
A kW air-conditioner runs hours a day. Electricity costs \0.32$/kWh (typical NSW residential rate, 2025).
What is speed and distance unit conversion?Show answer
A train travels at km/h for minutes. Distance covered?
What is unit cost comparison?Show answer
A g jar of Vegemite costs \8.50560\. Which is better value?
What is wrong unit conversion direction?Show answer
km = m, so converting km to m gives , not . Read the question carefully and sanity-check.
What is multiplying instead of dividing?Show answer
When converting from a larger unit to a smaller one, you get a larger number. From a smaller to a larger, you get a smaller number.
What is area conversions?Show answer
m = cm, not . Squared units need squared factors.
What is forgetting unit cancellation?Show answer
Treat units like algebraic symbols. Multiplying L \/L gives \. :::