World Algebra Cup 2026 - Unknown Denominator Equation Solving

Super-engage your KS3 and KS4 maths classes with this knockout tournament linear equations worksheet themed around this summer’s international football tournament. This edition focuses entirely on linear algebraic equations where the unknown variable sits in the denominator.

What’s Included:

• Print-Ready PDF: High-quality student worksheet and a complete teacher answer key.
• Editable PowerPoint: Fully customizable layout. Easily modify the equations to differentiate for lower or higher-attaining groups while keeping the presentation structure intact.

Atomised Difficulty Progression:

The resource features equations that get structurally more challenging, isolating one algebraic barrier unique to fractions at a time:

• Standard base forms a/x=b
• Flipped layouts with the variable on the right-hand side b=a/x
• Binomial denominators requiring implicit bracketing a/(x+b)=c
• Inverted denominator layouts with negative variable terms a/(b-x)=c
• Separated constants outside the fraction (a/x)+b=c
• Two-step combinations and non-unitary variable coefficients a/(bx+c)=d

How Do I Use It?

• Printed Out: Works perfectly for paired work, cover work, or an engaging starter activity (can be printed two per page).
• On-Screen Competition: Project the sheet onto the board, have students solve the equations on mini whiteboards, and fill in the bracket one match at a time as a class activity to support success.

Includes full Quarter-Finals, Semi-Finals, Third-Place Playoff, and the Final. All solutions are distinct integers between 1 and 5 to prevent division-by-zero boundary errors and tournament draws.