College Mathematics Practice Test
Build your confidence for College Mathematics. Practice the concepts, understand the answers, and strengthen your knowledge one question at a time.
Try a sample questionExam overview and details
The College Mathematics Certification Exam is a rigorous, industry-recognized assessment that validates a candidate's mastery of foundational and intermediate mathematical concepts essential for success in quantitative professions. This 60-question examination measures comprehensive understanding across algebra, calculus, probability, statistics, and discrete mathematics, ensuring certified individuals possess the analytical and problem-solving skills demanded by today's data-driven economy. Achieving this certification signals to employers a verified competency level beyond standard coursework, demonstrating both theoretical knowledge and practical application ability. It serves as a benchmark for roles in finance, data analysis, engineering support, operations research, and actuarial sciences, where mathematical literacy is non-negotiable. The certification is developed and maintained by a consortium of academic and industry experts to ensure alignment with current professional standards and technological applications.
Sample Questions
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A trapezoid-shaped courtyard has parallel sides 10 m and 16 m with height 7 m. A fountain inside the courtyard is not subtracted. What is the courtyard area?
In a survey of 100 students, 54 are in the math club, 48 are in the science club, and 22 are in both. Students in neither club are still counted in the survey. How many are in exactly one of the two clubs?
A sound-intensity model uses L(x) = log_2(x) after background noise is filtered out. During one trial, the filtered intensity ratio is 8; a second unfiltered reading is listed but should be ignored. What is L(8)?
In a circle diagram, a central angle intercepting arc AB measures 90 degrees. An inscribed angle intercepts the same arc; the radius label 6 cm is shown but not needed. What is the inscribed angle measure?
A tutoring app graphs y = f(x) for a placement quiz. In the revised version, every point on the graph is moved 2 units left and 4 units up; the scale and a sample point label remain unchanged. Which expression gives the revised function?
Exam insights and study advice
In competitive STEM and business fields, documented proof of quantitative proficiency provides a significant career advantage. This certification offers tangible industry recognition, differentiating candidates in hiring and promotion cycles. It validates skills that are directly transferable to roles involving financial modeling, data interpretation, logistics optimization, and risk assessment. For professionals, it substantiates continuing education and expertise; for recent graduates, it adds crucial credential weight to academic transcripts. Organizations increasingly seek this certification as a reliable filter for technical competency, making it a valuable asset for career advancement, increased earning potential, and professional credibility in quantitative disciplines.
Recommended
These are the backgrounds the certifying body suggests. Check the vendor's own page for anything it formally requires.
What this exam covers
Use the published domain weights to plan your study. Practice results do not predict your certification exam score.
01Algebra and Functions
Topics
- Solving equations, linear inequalities, and systems of linear equations by analytic and graphical methods
- Interpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methods
- Graphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the origin
- Linear and exponential growth
- Applications
Learning objectives
- Solving equations, linear inequalities, and systems of linear equations by analytic and graphical methods
- Interpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methods
- Graphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the origin
- Linear and exponential growth
- Applications
02Financial Mathematics
Topics
- Percents, percent change, markups, discounts, taxes, profit, and loss
- Interest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)
- Present value and future value
- Applications
Learning objectives
- Percents, percent change, markups, discounts, taxes, profit, and loss
- Interest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)
- Present value and future value
- Applications
03Data Analysis and Statistics
Topics
- Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histograms
- Numerical summaries of data: mean (average), median, mode, and range
- Standard deviation and normal distribution (conceptual questions only)
- Applications
Learning objectives
- Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histograms
- Numerical summaries of data: mean (average), median, mode, and range
- Standard deviation and normal distribution (conceptual questions only)
- Applications
04Logic and Sets
Topics
- Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses, inverses, counterexamples, contrapositives, and logical equivalence
- Set relationships, subsets, disjoint sets, equality of sets, and Venn diagrams
- Operations on sets: union, intersection, and complement
- Applications
Learning objectives
- Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses, inverses, counterexamples, contrapositives, and logical equivalence
- Set relationships, subsets, disjoint sets, equality of sets, and Venn diagrams
- Operations on sets: union, intersection, and complement
- Applications
05Counting and Probability
Topics
- Counting problems: the multiplication rule, combinations, and permutations
- Probability: union, intersection, independent events, mutually exclusive events, complementary events, conditional probabilities, and expected value
- Applications
Learning objectives
- Counting problems: the multiplication rule, combinations, and permutations
- Probability: union, intersection, independent events, mutually exclusive events, complementary events, conditional probabilities, and expected value
- Applications
06Geometry
Topics
- Properties of triangles and quadrilaterals: perimeter, area, similarity, and the Pythagorean theorem
- Parallel and perpendicular lines
- Properties of circles: circumference, area, central angles, inscribed angles, and sectors
- Applications
Learning objectives
- Properties of triangles and quadrilaterals: perimeter, area, similarity, and the Pythagorean theorem
- Parallel and perpendicular lines
- Properties of circles: circumference, area, central angles, inscribed angles, and sectors
- Applications
07Numbers
Topics
- 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 arithmetic
- Measurement: unit conversion, scientific notation, and numerical precision
- Absolute value
- Applications
Learning objectives
- 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 arithmetic
- Measurement: unit conversion, scientific notation, and numerical precision
- Absolute value
- Applications