About this worksheet

This free Year 8 recurring decimals worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNAUN1. It targets one skill so students can practise until it sticks: by the end, students can say “I can convert fractions to terminating or recurring decimals, predict which will terminate, and write recurring decimals as fractions.”

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 fractions to terminating or recurring decimals by short division
• Predicting whether a fraction terminates from its prime factors
• Writing recurring decimals such as 0.272727… as fractions

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

• Rounding a recurring decimal and calling it exact
• Placing the recurring dot over the wrong digits
• Checking the numerator instead of the denominator's prime factors
• Not simplifying the fraction from a recurring decimal

Where this fits in the WA Year 8 sequence

Recurring Decimals and Fractions 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

• Rounding a recurring decimal and calling it exact
• Placing the recurring dot over the wrong digits
• Checking the numerator instead of the denominator's prime factors
• Not simplifying the fraction from a recurring decimal