Proportional Reasoning with Ratios

Year 8 Number and algebra WA8MNAUN5 5 pages · 34 questions Core

Year 8 Proportional Reasoning with Ratios Worksheet

Free Year 8 ratio and proportion worksheet (WA8MNAUN5): equivalent ratios, sharing in a ratio, scaling recipes and map scales. With marking key.

What's covered
  • Finding unknowns in equivalent ratios
  • Sharing an amount in a given ratio
  • Scaling recipes, models and map distances

Updated Sep 2026 · No sign-up needed

About this worksheet

This free Year 8 ratio and proportion worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNAUN5. It targets one skill so students can practise until it sticks: by the end, students can say “I can find unknowns in equivalent ratios and fractions, share in a ratio and scale recipes and maps.”

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

  • Finding unknowns in equivalent ratios
  • Sharing an amount in a given ratio
  • Scaling recipes, models and map distances

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

  • Dividing by one part of the ratio instead of the total parts
  • Adding instead of multiplying to scale
  • Mixing units when using a map scale
  • Reversing the order of the ratio

Where this fits in the WA Year 8 sequence

Proportional Reasoning with Ratios sits in the Understanding number sub-strand of Number and algebra. 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

  • Dividing by one part of the ratio instead of the total parts
  • Adding instead of multiplying to scale
  • Mixing units when using a map scale
  • Reversing the order of the ratio
Answer key (with worked solutions)

The answer key is a separate PDF with every question worked, not just the final answers.

Download the answer key (PDF)

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