Year 8 - Percentages - Free practice

Year 8 Percentages Worksheets & Practice Tests

Increases, decreases, GST, percentage error.

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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.

About this worksheet

Why we built it

Year 8 percentages move past "percent of" into increases, decreases and percentage error - the real-life versions students will keep using. These worksheets focus on the harder applied problems where a question first needs translating before any calculation.

What's covered

Sub-skills your student will practise

  • Percentage increase and decrease
  • Reverse-percentage problems (find the original price)
  • GST (add or extract from a total)
  • Percentage error in measurement
  • Real-world problems (sales, mark-ups, commission)

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Frequently asked

Questions parents ask about percentages

What's a percentage increase or decrease?

An increase or decrease expressed as a percentage of the original. A $50 item raised to $60 is a $10 increase, which is 10/50 = 20% of the original. The formula is (change / original) x 100.

How do students do a reverse percentage problem?

If $60 is the new price after a 20% increase, divide by 1.2 to get back to the original ($50). For a 20% decrease, divide by 0.8. The 'multiplier' approach saves a lot of working.

What's percentage error?

How far off a measurement or estimate is from the true value, as a percentage. Formula: (|measured - actual| / actual) x 100. Year 8 introduces this for measurement contexts.

Is GST a Year 8 topic?

Yes - Year 8 uses 10% GST in financial contexts. Students learn both directions: adding GST (multiply by 1.1) and extracting GST from a total (divide by 1.1).

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