About this worksheet

This free Year 7 probability worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MPSP1. It targets one skill so students can practise until it sticks: by the end, students can say “I can list the sample space for a single-stage chance experiment and assign probabilities as fractions, decimals and percentages.”

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

• Listing the sample space of a single-stage experiment
• Assigning probabilities as fractions, decimals and percentages
• Using the complement: P(not A) = 1 − P(A)

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 55, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Leaving outcomes out of the sample space
• Treating outcomes as equally likely when they are not
• Giving a probability greater than 1
• Forgetting to simplify the fraction

Where this fits in the WA Year 7 sequence

Sample Spaces and Probability sits in the Probability and statistics strand. 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

• Leaving outcomes out of the sample space
• Treating outcomes as equally likely when they are not
• Giving a probability greater than 1
• Forgetting to simplify the fraction