CLEP College Mathematics study plan
CLEP College Mathematics · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra and Functions
Solve linear equations and inequalities in one variable, including those with fractions and parentheses
Identify domain and range from equations and simple graphs
Evaluate and compose functions at given values
Translate a short word problem into a linear model and solve it
Your checkpoint
A 20-problem self-made worksheet with full solutions, scored at 80% or higher
Algebra and Functions & Financial Mathematics
Graph linear functions and interpret slope and intercepts in context
Solve systems of two linear equations by substitution and elimination
Compute simple and compound interest, including continuous compounding
Distinguish nominal from effective annual rate in a worked example
Your checkpoint
A one-page formula sheet plus 10 solved financial and linear-model problems with units shown
Financial Mathematics
Calculate future value and present value of a single sum and an annuity
Build an amortization schedule for a small loan by hand or spreadsheet
Compute percent increase, percent decrease, and markup/markdown in multi-step problems
Solve a savings-goal problem for the required monthly deposit
Your checkpoint
A spreadsheet amortization table for a 12-month loan, checked against the closed-form payment formula
Financial Mathematics & Data Analysis and Statistics
Compute mean, median, mode, and range for raw and grouped data
Interpret standard deviation qualitatively and compute it for a small data set
Read and compare data displays such as histograms, box plots, and scatterplots
Apply the compound interest and annuity formulas to a real-life scenario with a written justification
Your checkpoint
A half-length timed practice test (30 questions) covering domains 1, 3, and 4, with an error log
Counting and Probability & Logic and Sets
Apply the multiplication and addition rules to count outcomes in multi-stage events
Compute permutations and combinations and decide which applies in a given problem
Calculate basic probabilities, including complements and mutually exclusive events
Translate English statements into set notation and use Venn diagrams to solve inclusion-exclusion problems
Evaluate truth values of compound statements using truth tables
Your checkpoint
A 15-question mixed quiz on counting, probability, and sets, with a Venn diagram drawn for each set problem
Logic and Sets & Numbers
Determine whether an argument is valid using truth tables or standard forms
Classify numbers within the real number system and apply properties of operations
Perform operations with fractions, decimals, and percents without a calculator
Simplify expressions involving exponents, radicals, and absolute value
Solve problems involving ratios, proportions, and unit conversion
Your checkpoint
A 25-question no-calculator arithmetic and logic set, scored and corrected
Geometry & Data Analysis and Statistics
Compute perimeter, area, and volume for triangles, circles, and rectangular solids
Apply the Pythagorean theorem and distance formula in coordinate geometry
Find the equation of a line parallel or perpendicular to a given line
Interpret correlation and identify misleading graphs
Solve a multi-step geometry problem that requires an algebraic setup
Your checkpoint
A set of 10 multi-step geometry problems with diagrams drawn and all steps shown
Algebra and Functions & Counting and Probability & Data Analysis and Statistics & Financial Mathematics & Geometry & Logic and Sets & Numbers
Complete two full-length timed practice tests under exam conditions
Review every missed question and classify the error by domain and cause
Re-solve the five weakest problem types from the error log without notes
Memorize and recite the core formula sheet from memory
Your checkpoint
A final error log with all weak areas re-tested at 85% or higher, plus a completed formula sheet written from memory
Milestones
Week 2: Score at least 75% on a self-made 15-question quiz on linear functions, systems, and interest formulas
Week 4: Score at least 70% on a 30-question timed half-test covering domains 1, 3, and 4, with every error logged
Week 6: Score at least 75% on a 25-question mixed set covering counting, probability, sets, logic, and number operations
Week 8: Score at least 80% on two full-length timed practice tests and show a written formula sheet reproduced from memory