Quick questions on Rates and ratios for HSC Maths Standard 2

2short 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 are simplifying ratios?

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A ratio is in simplest form when its numbers are whole numbers with no common factor. Divide every term by the highest common factor:

12 : 18 = 2 : 3

(dividing by

6

). If a ratio has units or decimals, first convert to the same unit and clear the decimals or fractions. For example

50

: 2

m becomes

50 : 200 = 1 : 4

once both are in centimetres, and

0.5 : 1.5

becomes

5 : 15 = 1 : 3

after multiplying both by

10

What is fuel-consumption upside down?

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It is litres per

100

km, so

\dfrac{\text{litres}}{\text{km}} \times 100

, not kilometres divided by litres.

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