## Equations of Proportion – with Three Variables worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Higher
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Prerequisite knowledge: Algebraic manipulation, solving equations, fractional and negative indices, substitution and equations of proportionality.
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## Equations of Proportion – with Three Variables worksheet description

This worksheet makes a perfect extension for students who have already gained confidence in setting up and solving both direct and inverse equations of proportionality, targeting those aiming for higher GCSE grades (8 and 9). It contains four challenging questions where students are presented with three variables and two proportional relationships. The task involves solving for two distinct constants of proportionality and then using these to formulate a new equation linking two previously unconnected variables. Each question is different from the last; requiring students to rearrange formulas and handle fractional and negative indices. This worksheet is ideal for deepening understanding of proportionality concepts and enhancing algebraic manipulation skills at a higher level.

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