The BCIT Mathematics 12 Competency Tests are designed to enable prospective students to demonstrate the basic mathematical knowledge and skills up to and including B. C. Mathematics 12 which are generally most important for success in BCIT programs with this prerequisite. Because of secondary school curriculum reorganizations over recent years, some of these important basic mathematical topics may now be covered at an earlier grade in secondary school courses. Also, applicants who have been out of school for several years may find it necessary to review more basic topics from lower levels before they can review Math 11 material effectively.

The following list has been developed by the BCIT Mathematics Department to guide applicants in preparing for the BCIT Mathematics 12 Competency Test. Where links exist, you may find additional descriptions of topics or illustrative examples.

The information on this page and the pages to which it links is intended as an illustrated guide to what you need to know to do well on the BCIT Mathematics 12 Competency Test. It is not intended to be a substitute for a full Mathematics 12 course. If you find that most of these topics and methods are unfamiliar, you should consider enrolling in a course that the BCIT Admissions Office recognizes as meeting a Mathematics 12 prerequisite. If you decide to prepare for the test by self-study, you may need to consult printed textbooks or other resources for additional study and practice materials.

Finally, you need to take into account that the BCIT
Mathematics 12 Competency Test covers __ALL__ of the topic
areas listed below. To get a good mark on the test, you may
not neglect any of the major sections below.

Good luck in your efforts!

The following topics or types of problems and methods are represented on the BCIT Mathematics 12 Competency Test. (By clicking on topics which appear as links, you can view an example of the sort of question that could appear on an actual BCIT Mathematics 12 Competency Test. These examples are actual questions from the test generator.)

- Basic Algebraic Simplification
- combine like terms
- simplify products of powers
- multiply expressions by monomials
- expand the product of binomials
- expand products of binomials and trinomials
- divide a polynomial by a binomial
- Factoring
- remove common monomial factors
- factor differences of perfect squares
- factor trinomials
- factor expressions containing monomial and multinomial factors
- algebraic fractions
- simplify fractions
- multiply two fractions and simplify the result
- divide one fraction by another and simplify the result
- simplify the sum or difference of fractions
- simplify complex fractions
- working with expressions involving radicals
- switching from radical to exponential form
- simplifying roots of monomial expressions
- rationalizing the denominator
- multiplication/division with radicals, and simplifying the result
- addition/subtraction with radicals, and simplifying the result
- solve algebraic equations
- solve simple linear equations (trouble here -- will fix when I get a chance)
- solve quadratic equations
- solve equations involving fractions
- solve equations involving square roots
- solve systems of two linear equations
- solve simple linear inequalities
- manipulate formulas
- functional notation
- solve standard types of word problems
- mixture problems
- uniform change problems
- problems involving geometric shapes
- problems involving percentages
- problems involving quantity of work done
- unit conversion
- general unit conversions
- radians and degrees
- percent calculations and problems
- solve problems involving simple mixtures
- solve problems involving percent increase or decrease (discounts)
- solve problems involving multiple percentages
- variation and proportion
- direct variation or direct proportion
- inverse variation or inverse proportion
- joint variation
- graphs and related topics
- plot points on an (x, y) graph
- determine the equation of a straight line
- determine the slope and coordinates of the x- and y-intercepts of a line
- calculate the distance between two points in the (x, y) plane
- write down the equation of a circle
- logarithms
- conversion from logarithmic form to exponential form and the reverse
- use the properties of logarithms to manipulate and simplify logarithmic expressions
- solve simple logarithmic equations
- solve simple exponential equations
- basic geometrical calculations
- calculate the perimeter and area of a circular sector
- solve problems involving the angles of a triangle
- solve problems involving similar triangles
- solve problems involving perimeters and areas of plane figures
- solve problems involving surface areas and volumes of solid objects
- solve problems using Pythagoras's formula
- basic trigonometry
- values of trignometric ratios/functions
- inverse trigonometric ratios/functions
- relating trigonometric functions of any angle to functions of an acute angle
- solving simple trigonometric equations
- solve trigonometric problems
- solve right triangles
- solve applied problems where the unknown is a part of a right triangle
- solve oblique triangles (sine law, cosine law)
- solve applied problems where the unknown is a part of an oblique triangle

This page was last updated on December 30, 2009.

Maintained by David W. Sabo.