Repeated Percentage Increase and Decrease (B) 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 (B) WORKSHEET DESCRIPTION
This worksheet strengthens students’ understanding of repeated percentage change through realistic, multi-step scenarios.
Learners begin by matching everyday contexts to the correct multiplier calculations, reinforcing the link between percentages and decimals.
They then explore why a 10% increase followed by a 10% decrease does not return to the original value and use multipliers to show equivalent overall changes, such as a 20% decrease followed by a 20% increase giving a 4% overall decrease.
Pupils progress through a variety of contexts including pricing, depreciation, and population growth, before tackling an extended challenge involving five successive percentage changes.
A reasoning task then asks them to complete missing values in percentage and multiplier statements, helping to generalise patterns.
The worksheet concludes with a creative problem where learners construct their own examples that reach the same final value using different combinations of percentage increases and decreases.
Learners begin by matching everyday contexts to the correct multiplier calculations, reinforcing the link between percentages and decimals.
They then explore why a 10% increase followed by a 10% decrease does not return to the original value and use multipliers to show equivalent overall changes, such as a 20% decrease followed by a 20% increase giving a 4% overall decrease.
Pupils progress through a variety of contexts including pricing, depreciation, and population growth, before tackling an extended challenge involving five successive percentage changes.
A reasoning task then asks them to complete missing values in percentage and multiplier statements, helping to generalise patterns.
The worksheet concludes with a creative problem where learners construct their own examples that reach the same final value using different combinations of percentage increases and decreases.
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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.