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Reverse Percentages - Using a Bar Model (A) WORKSHEET

Suitable for Year groups: Year 9, Year 10
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Using bar models to find percentages of amounts.
Learning Objective: Solve problems involving percentage original value problems.

Reverse Percentages - Using a Bar Model (A) WORKSHEET DESCRIPTION

This worksheet provides an excellent introduction to finding the original amount when given a percentage of it. Bar models provide a visual tool for understanding percentages and help bridge the gap between concrete, pictorial, and abstract concepts.

Pupils are firstly given a bar model depicting 20% = 64 and are asked to consider what other percentages they can find using this fact. We have included prompts of multiples of 20% up to 100, 10%, 5% and 1%.

Section B consists of 9 increasingly difficult questions with a decreasing level of scaffolding provided.

All the percentages of the original given are less than 100%. See Reverse Percentages - Using a Bar Model (B) to work with percentages over 100%.

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

Frequently Asked Questions

Students should already be comfortable using bar models to find percentages of amounts before tackling reverse percentage problems. This foundation is essential because they'll be working backwards from a given percentage to find the original value. The visual representation skills they've developed will help them understand how to partition and scale the bar models effectively.