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Description of the Examination

The College Mathematics exam covers material generally taught in a college course for nonmathematics majors and majors in fields not requiring knowledge of advanced mathematics.

The examination contains approximately 60 questions to be answered in 90 minutes. Some of these are pretest questions that will not be scored. Any time test takers spend on tutorials and providing personal information is in addition to the actual testing time.

An online scientific (nongraphing) calculator will be available during the examination. Although a calculator is not necessary to answer most of the questions, there may be a few problems whose solutions are difficult to obtain without using a calculator. Since no calculator is allowed during the examination except for the online calculator provided, is it recommended that prior to the examination you become familiar with the use of the online calculator.

For more information about downloading the practice version of the scientific (nongraphing) calculator, please visit the College Mathematics description on the CLEP website, clep.collegeboard.org It is assumed that test takes are familiar with currently taught mathematics vocabulary, symbols, and notation.

Knowledge and Skills Required

Questions on the College Mathematics examination require test takers to demonstrate the following abilities in the approximate proportion indicated.

 Solving routine, straightforward problems (about 50% of the examination)

 Solving nonroutine problems requiring an understanding of concepts and the application of skills and concepts (about 50% of the examination)

The subject matter of the College Mathematics examination is drawn from the following topics. The percentages next to the main topics indicate the approximate percentage of exam questions on that topic.

20%

Algebra Solving equations, linear inequalities, and systems of linear equations by analytical and graphical methodsInterpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methodsGraphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the originLinear and exponential growthApplications

10%	Counting and Probability Counting problems: the multiplication rule, combinations and permutationsProbability: union, intersection, independent events, mutually exclusive events, complementary events, conditional probabilities, and expected valueApplications

15%

Data Analysis and Statistics Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histogramsNumerical summaries of data: mean (average), median, mode, and rangeStandard deviation, normal distribution (conceptual questions only)Applications

20%	Financial Mathematics Percents, percent change, markups, discounts, taxes, profit, and lossInterest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)Present value and future valueApplications

10%	Geometry Properties of triangles and quadrilaterals: perimeter, area, similarity, and the Pythagorean theoremParallel and perpendicular linesProperties of circles: circumference, area, central angles, inscribed angles, and sectorsApplications

15%

Logic and Sets Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses, inverses, counterexamples, contrapositives, logical equivalenceSet relationships, subsets, disjoint sets, equality of sets, and Venn diagramsOperations on sets: union, intersection, complement, and Cartesian productApplications

10%

Numbers Properties of numbers and their operations: integers and rational, irrational, and real numbers (including recognizing rational and irrational numbers)Elementary number theory: factors and divisibility, primes and composites, odd and even integers, and the fundamental theorem of arithmeticMeasurement: unit conversion, scientific notation, and numerical precisionAbsolute valueApplications