Rates, ratios and scale models
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Log in to continueBuild proportional models, interpret units and check whether a constant rate is reasonable.
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A material costs $3 for 2 metres with a constant price per metre and no fixed fee. What is the cost of 6 metres? Give your answer to 2 decimal places.
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Answer: $9.00
- Unit price = 3/2 dollars per metre.
- Multiply by 6 metres.
- The cost is $9.00.
- 3 ÷ 2 = 3/2.
- 3/2 × 6 = 9.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Build proportional models, interpret units and check whether a constant rate is reasonable.
Read the official VCAA curriculum description (VC2M9M05)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9M05-C01Use a constant unit rate to predict a total.
- VC2M9M05-C02Formulate and evaluate a financial rate model, then report findings.
- VC2M9M05-C03Use scale ratios consistently before changing units.
- VC2M9M05-C04Create, evaluate and report a practical ratio or scale model.
- VC2M9M05-C05Apply and explain rates, ratios and scale models using build and check a model.
- VC2M9M05-C06Apply and explain rates, ratios and scale models using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01From one unit to manyUse a constant unit rate to predict a total.
- D02Move between a plan and realityUse scale ratios consistently before changing units.
- D03Build and check a modelApply and explain rates, ratios and scale models using build and check a model.
- D04Calculate and explain each stepApply and explain rates, ratios and scale models using calculate and explain each step.