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Mental Methods

The Product Rule for Counting WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Systematic listing
Learning Objective: Apply systematic listing strategies, including use of the product rule for counting

The Product Rule for Counting WORKSHEET DESCRIPTION

This worksheet provides a comprehensive overview of the product rule for counting, gradually progressing from basic problems to more complex scenarios.

Section A kicks things off by asking students to use a sample space diagram to list all possible outcomes. As the variables change students will consider what impact this has on the total number of outcomes.

Then sections B and C will see pupils applying the product rule for counting to solve problems with independent events where order does and does not matter. All questions are based on practical situations such as menu choices and games played in sports leagues.

Students may use calculators while completing this worksheet.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

The Product Rule for Counting Worksheet suitable for Year 10 and Year 11 Students

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Frequently Asked Questions

Students should be comfortable with systematic listing techniques before tackling the product rule for counting. This foundation will help them understand how sample space diagrams work in the early sections and prepare them for applying more sophisticated counting methods. The worksheet builds naturally from these listing strategies to the product rule itself.