About this worksheet

This free Year 7 one quantity as a percentage of another worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MNAC2. It targets one skill so students can practise until it sticks: by the end, students can say “I can express one quantity as a percentage of another, converting to the same units first.”

What’s inside

• Key idea box – a short explanation with worked examples to read before starting.
• A · Fluency (16 questions) – quick practice to build accuracy.
• B · Core (10 questions) – worded problems set in everyday Australian contexts.
• C · Reasoning (4 questions) – explain, justify and spot the error.
• D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
• Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

• Writing one quantity as a percentage of another
• Converting to the same units first
• Finding percentage increase, decrease and profit

How to use this worksheet

Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 56, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Treating ‘15 out of 60’ as 15%
• Not converting units before dividing
• Confusing percentage points with percentage change
• Dividing by the new value instead of the original

Where this fits in the WA Year 7 sequence

Expressing One Quantity as a Percentage of Another sits in the Calculating with number sub-strand of Number and algebra. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Treating ‘15 out of 60’ as 15%
• Not converting units before dividing
• Confusing percentage points with percentage change
• Dividing by the new value instead of the original