Topics Covered by the
BCIT Mathematics 12 Competency Test

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

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

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.

Math Department

British Columbia Institute of Technology

3700 Willingdon Avenue, Burnaby,

British Columbia, Canada, V5G 3H2,

Please report errors and omissions to the Math Departmental Webmaster.