CMA Foundation Fundamentals of Business Mathematics and Statistics Classes

CMA Foundation Paper 3 — Fundamentals of Business Mathematics and Statistics

Paper 3 is a 100-mark paper covering the quantitative tools essential for cost and management accountants. CMAs routinely use statistical analysis in cost variance interpretation, demand forecasting, quality control, and financial modelling. This paper builds the mathematical foundation for all quantitative applications across the CMA curriculum.

Business Mathematics

• Arithmetic — Ratio and proportion, percentages, profit and loss, simple and compound interest, time value of money (present value, future value, annuity calculations)
• Algebra — Equations (linear, quadratic, simultaneous), indices and logarithms, inequalities
• Sequence and Series — Arithmetic and Geometric Progressions, sum formulas, business applications (installments, depreciation schedules)
• Sets, Relations and Functions — Set operations, types of functions, domain and range
• Matrices and Determinants — Matrix operations, determinant calculation, Cramer's Rule for solving simultaneous equations
• Differential Calculus — Derivatives (first and second order), maxima and minima, marginal cost and marginal revenue applications
• Integral Calculus — Basic integration, area under a curve, definite integrals in cost-volume-profit context

Statistics

• Data collection, classification, and tabulation — Frequency distributions, histograms, frequency polygons, ogives
• Measures of Central Tendency — Mean (AM, GM, HM), Median, Mode for individual, discrete, and continuous data; weighted averages for cost problems
• Measures of Dispersion — Range, Quartile Deviation, Mean Deviation, Standard Deviation, Coefficient of Variation — critical for quality control analysis
• Probability — Classical and empirical probability, addition and multiplication theorems, conditional probability, Bayes' theorem, Binomial and Normal distributions
• Correlation and Regression — Karl Pearson's and Spearman's correlation, scatter diagrams, regression lines (Y on X, X on Y), regression equations for forecasting
• Index Numbers — Laspeyres, Paasche, Fisher's Ideal Index — directly relevant to cost inflation analysis that CMAs perform
• Time Series Analysis — Trend, seasonal variation, cyclical and irregular components, moving averages, least squares method