VC2M7N07 Official strand: Number

Percentages of and between quantities

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Find a percentage amount or express a part as a percentage of its whole.

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12 of 60 survey responses chose option A. What percentage chose A?

A0.12% B20% C500% D80%

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Answer: 20%

Compare the part with the full total: 12/60.
Multiply by 100 to express that ratio as 20%.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Find a percentage amount or express a part as a percentage of its whole.

Read the official VCAA curriculum description (VC2M7N07)

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Activities to practise beyond the quiz

Supported by the guided activity; selecting an MCQ does not demonstrate this action.

VC2M7N07-C01To find a percentage of a quantity, multiply the whole by the percentage divided by 100. To express a part as a percentage, divide the part by the stated whole and multiply by 100.
VC2M7N07-C02An increase as a percentage of the original uses the original value. Comparing one group with another is different from comparing it with the combined total. Equal proportions can have very different raw counts.
VC2M7N07-C03If only non-members join a group, the member count stays fixed but its percentage decreases. Recover a whole from a known percentage by dividing by the corresponding fraction. Check whether a claimed percentage answers “of this group” or “of all groups”.
VC2M7N07-C04Selecting percentage strategies with and without digital tools.

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Descriptor-derived subskills

D01
Find a part or compare with a wholeTo find a percentage of a quantity, multiply the whole by the percentage divided by 100. To express a part as a percentage, divide the part by the stated whole and multiply by 100.
D02
Keep the comparison base clearAn increase as a percentage of the original uses the original value. Comparing one group with another is different from comparing it with the combined total. Equal proportions can have very different raw counts.
D03
Reason when the whole changesIf only non-members join a group, the member count stays fixed but its percentage decreases. Recover a whole from a known percentage by dividing by the corresponding fraction. Check whether a claimed percentage answers “of this group” or “of all groups”.