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Algebra Sheets

Worksheets

All worksheets are in pdf form.

Unlike the other worksheets on Man vs Maths, the ones on this do not always show the working in the answers. They are intended as practice of routine skills for people who already more or less know what they are doing.

In general terms a Year 9 student should be able to get most of the "basic" exercises, a Year 10 most of the "routine", and a Year 11 external student most of the "harder". Ideally students will be above that level.

There are some more sheets specifically aimed at Year 11 and Year 12 on their own pages.
 

Tests

These quick tests are intended to allow students to see what they can and cannot do. Each is twenty questions on one and then a page of answers, with brief working.

Basic 1     Basic 2     Basic 3

Routine 1     Routine 2     Routine 3

Harder 1     Harder 2     Harder 3
 

Simplifying

Basic 1     Basic 2     Basic 3

Multiplying, dividing, adding and subtracting terms

Routine 1     Routine 2     Routine 3

More complex division, powers and brackets

Harder 1     Harder 2     Harder 3

Square roots and multiple brackets
 

Expanding

Basic 1     Basic 2     Basic 3

Expanding one set of brackets

Routine 1     Routine 2     Routine 3

Expanding two brackets and quadratics

Harder 1     Harder 2     Harder 3

Expanding with complex terms and quadratics
 

Factorising

Basic 1     Basic 2     Basic 3

One factor

Routine 1     Routine 2     Routine 3

Multiple factors and simple quadratics

Harder 1     Harder 2     Harder 3

Mixed types, including quadratics with negative roots
 

Solving

Basic 1     Basic 2     Basic 3

One step and simple two step

Routine 1a     Routine 2a     Routine 3a

Multi-step linear problems

Routine 1b     Routine 2b     Routine 3b

Inequations and quadratics

Harder 1     Harder 2     Harder 3

Fractions, harder quadratics etc

 

Writing (and then Solving) Equations

Routine 1     Routine 2     Routine 3

Straight-forward, mostly linear, equations

Harder 1     Harder 2     Harder 3

Harder equations, including quadratics and simultaneous