Repeated Percentage Increase and Decrease (A) WORKSHEET
Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Understanding of percentages and converting between fractions, decimals, and percentages. Calculate percentage increase and decrease of an amount. Calculating percentage change.
Repeated Percentage Increase and Decrease (A) WORKSHEET DESCRIPTION
This worksheet develops students’ understanding of repeated percentage change by exploring consecutive increases and decreases. Learners begin with simple cases of two successive percentage increases or decreases, completing structured tables to calculate final amounts and overall percentage changes. The worksheet then progresses to mixed situations where an increase is followed by a decrease (and vice versa). By comparing results, pupils discover patterns and deepen their conceptual grasp of compound percentage effects. Teachers can extend learning through questions such as “Why doesn’t a 20% increase followed by a 20% decrease return to the original amount?” or “Why is a 10% decrease followed by a 20% increase the same as a 20% increase followed by a 10% decrease?”
This resource is ideal for practising GCSE percentage skills, strengthening procedural fluency, and developing reasoning about proportional change in everyday contexts such as discounts and price rises.
This resource is ideal for practising GCSE percentage skills, strengthening procedural fluency, and developing reasoning about proportional change in everyday contexts such as discounts and price rises.

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Frequently Asked Questions
This increasing and decreasing by percentages worksheet is designed for students in Year 8 and Year 9 and aligns with the UK National Curriculum.


