Ratios that compare quantities
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueRepresent, simplify and use ratios without confusing a part with the whole.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
Simplify the ratio 6:12.
Show worked steps
Answer: 1:2
- Divide both parts by their greatest common factor 6.
- The simplest ratio is 1:2.
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Represent, simplify and use ratios without confusing a part with the whole.
Read the official VCAA curriculum description (VC2M7N09)
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.
- VC2M7N09-C01Divide both terms by the same common factor. Keep the stated order of the compared quantities.
- VC2M7N09-C02Add the ratio parts to find the total number of equal shares. Divide the whole by that total, then select the required parts.
- VC2M7N09-C03Find the size of one ratio part from a known component or from the difference between two components, then calculate the requested quantity.
- VC2M7N09-C04Creating ratio representations and explaining the interpretation of a given quantity.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Simplify a ratioDivide both terms by the same common factor. Keep the stated order of the compared quantities.
- D02Divide a total in a ratioAdd the ratio parts to find the total number of equal shares. Divide the whole by that total, then select the required parts.
- D03Recover quantities from ratio partsFind the size of one ratio part from a known component or from the difference between two components, then calculate the requested quantity.