About this worksheet

This free Year 8 converting units of area worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MMGTW1. It targets one skill so students can practise until it sticks: by the end, students can say “I can convert between mm², cm², m², hectares and km², and explain why the conversion factors are squares of the length factors.”

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

• Converting between mm², cm² and m²
• Converting between m², hectares and km²
• Explaining why area factors are squares of length factors

How to use this worksheet

Start with the Key idea box, then complete Section A (use a calculator only where a question says so). 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 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Using 100 instead of 10 000 for m² to cm²
• Using the length factor, e.g. 1 cm² = 10 mm²
• Thinking 1 ha = 1000 m²
• Multiplying when they should divide

Where this fits in the WA Year 8 sequence

Converting Units of Area sits in the Two-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 8 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Using 100 instead of 10 000 for m² to cm²
• Using the length factor, e.g. 1 cm² = 10 mm²
• Thinking 1 ha = 1000 m²
• Multiplying when they should divide