College Mathematics Practice Test
Gana confianza para College Mathematics. Practica los conceptos, comprende las respuestas y refuerza tus conocimientos pregunta a pregunta.
Probar una preguntaDescripción y detalles del examen
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.
Preguntas de Muestra
Elige una respuesta y consulta la explicación para ver cómo funciona la práctica.
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?
Qué temas cubre este examen
Usa las ponderaciones publicadas de los dominios para planificar tu estudio. Los resultados de práctica no predicen tu puntuación en el examen de certificación.
01Algebra and Functions
Temas
- 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
Objetivos de aprendizaje
- 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
Temas
- 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
Objetivos de aprendizaje
- 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
Temas
- 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
Objetivos de aprendizaje
- 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
Temas
- 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
Objetivos de aprendizaje
- 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
Temas
- Counting problems: the multiplication rule, combinations, and permutations
- Probability: union, intersection, independent events, mutually exclusive events, complementary events, conditional probabilities, and expected value
- Applications
Objetivos de aprendizaje
- 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
Temas
- 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
Objetivos de aprendizaje
- 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
Temas
- 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
Objetivos de aprendizaje
- 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