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Ratios and Rates

We estimate MS1-12-RR is worth about 15 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 17 exam-style questions (multiple choice, numerical answer, multi-part, short answer) with instant marking and a worked solution for every question.

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Topic notes

Ratios in simplest form, dividing a quantity in a ratio, map scales and building plans, estimating materials and costs from scale drawings, unit rates and rate conversions, best buys, energy use in kilowatt hours and power bills, water use, and fuel consumption.

  1. 1What you need to know
  2. 2Ratios
  3. 3Scale drawings, maps and plans
  4. 4Rates
  5. 5Energy and power bills
  6. 6Fuel consumption
  7. 7Common mistakes
  8. 8Exam tips
  9. 9Links to other topics
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Example questions

Example 1 · 1 mark · multiple choice

Three friends share $840 in the ratio 3 : 4 : 5. What is the largest share?

  1. A$336
  2. B$280
  3. C$350
  4. D$210

Example 2 · 1 mark · multiple choice

A shop sells rice in four pack sizes. Which pack is the best value for money?

  1. A1.2 kg for $8.28
  2. B750 g for $5.40
  3. C500 g for $3.75
  4. D2 kg for $14.20

Example 3 · 3 marks · multi-part

A floor plan is drawn to a scale of 1 : 100. A rectangular family room measures 5.6 cm by 3.8 cm on the plan.

Floor tiles cost $48 per square metre. The tiler says to add 10% to the floor area to allow for cutting, then round up to a whole number of square metres, because tiles are sold only in whole square metres.

Answers and worked solutions appear when you practise these questions.

Other Mathematics Standard 1 topics