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Equations of Proportionality•
Proportion•
Substitution

Equations of Proportion - with Three Variables WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Algebraic manipulation, solving equations, fractional and negative indices, substitution and equations of proportionality.
Learning Objective: Construct and interpret equations that describe direct and inverse proportion.

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.

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

Equations of Proportion with Three Variables Worksheet Suitable for Year 10 and Year 11 Students"

RELATED TO Equations of Proportion - with Three Variables WORKSHEET

Direct Proportion A

Year groups: 9, 10, 11

Preview of Direct Proportion A

Substituting into Formulae (B)

Year groups: 9, 10, 11

Preview of Substituting into Formulae (B)

Direct Proportion B

Year groups: 10, 11

Preview of Direct Proportion B

Inverse Proportion

Year groups: 10, 11

Preview of Inverse Proportion

Frequently Asked Questions

Students should be comfortable with algebraic manipulation and solving equations before tackling these three-variable problems. They'll also need solid understanding of fractional and negative indices, as well as experience with substitution and basic equations of proportionality, since the worksheet builds significantly on these foundational skills.