Scope of the Topic for MCAT
There are a number of videos on the
Video Page. They cover most of the topic, except for a few items at Excellence.
There is an expectation that students will be comfortable with linear and quadratic patterns and graphs as part of Algebra. The
Externals Page has material on quadratics and the
Internals Page as section on Linear Algebra.
Practice Algebra
Algebra 1
Algebra 2
Algebra 3
Algebra 4
Algebra 5
Algebra 6
These are effectively practice exams, though a little bit shorter than a full hour and towards the tougher end. Updated in 2017 to reflect the newer style of question in the MCAT.
Old style 1
Old style 2
Old style 3
Old style 4
Old style 5
Old style 6
These are mostly the same questions as the ones above, but written in the old style of question, which may suit overseas users.
Worksheets
The "Basic" sheets are far too easy for Year 11, but are left in for practice at the start of the topic. Year 11 students should be able to do the "Harder" ones by the end.
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
Multi-step linear problems
Routine 1
Routine 2
Routine 3
Inequations and quadratics
Harder 1
Harder 2
Harder 3
Fractions, harder quadratics etc
Writing (and 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
Exponential Equations
All levels 1
All levels 2
All levels 3
Equations involving powers, from Achieved through to Excellence