CMA Foundation Paper 3 study guide
CMA Foundation Paper 3 · Work through your exam, one topic at a time.
Paper 3 of the CMA Foundation is the quantitative paper of the ICMAI entry-level programme: Business Mathematics and Statistics. It exists to check that a candidate who intends to move on to Cost and Management Accountancy can handle the numerical reasoning that later papers assume - ratio and proportion, equations, interest and annuity logic, area and volume, basic differentiation and its business uses, and then the descriptive statistics toolkit of averages, dispersion, correlation, regression and elementary probability. The CMA Foundation Paper 3 study guide has 8 sections and about 2,462 words.
01Fundamentals of Business Mathematics
Business mathematics is the arithmetic engine reused throughout Paper 3: ratio and proportion, percentage, simple and compound interest, annuities, counting principles (permutations and combinations) and standard series. Questions usually hide the formula inside a commercial story - successive discounts, instalment schemes, or growth of a deposit - and the marks hinge on choosing the right base and the right formula.
330 words, about 2 min02Arithmetic and Algebra
This domain tests the algebraic machinery behind business problems: HCF and LCM, indices and surds, logarithms, linear and quadratic equations, arithmetic and geometric progressions, and sets with Venn diagrams. Expect a mix of one-line formula applications and short word problems where the algebra must first be set up from the data.
354 words, about 2 min03Mensuration and Geometry
Mensuration and geometry covers the measurement of plane figures and solids plus the basic angle and triangle facts that support them. The examiner typically gives dimensions of a plot, tank, cone or pipe and asks for area, perimeter, volume, capacity or surface area - often with a unit conversion built in.
304 words, about 2 min04Elementary Calculus and Its Applications
Elementary calculus supplies the marginal analysis used in business decisions. The exam tests limits, continuity, standard derivatives, product/quotient/chain rules, higher-order derivatives, maxima and minima, marginal cost and revenue, elasticity of demand, and simple integration as the reverse of differentiation.
262 words, about 1 min05Fundamentals of Business Statistics
This domain introduces statistics as a subject: its scope and limitations, collection of primary and secondary data, classification and tabulation, construction of frequency distributions, graphical presentation, and elementary sampling ideas. Questions are often conceptual, but numerical items on class intervals and mid-values are common.
297 words, about 1 min06Measures of Central Tendency and Dispersion
This domain covers averages and spread: arithmetic mean, median, mode, weighted, geometric and harmonic means, and the dispersion measures - range, quartile deviation, mean deviation, standard deviation, variance and coefficient of variation. Expect both direct computations and questions that ask which measure is appropriate or how a measure changes under transformation.
325 words, about 2 min07Correlation and Regression
Correlation measures the strength and direction of association between two variables; regression expresses that association as an equation for prediction. The examiner tests Karl Pearson's coefficient, Spearman's rank correlation with tie correction, the two regression lines and their coefficients, and the interpretation of r.
302 words, about 2 min08Probability and Expected Value
Probability quantifies uncertainty and supplies the expected value used in decision-making under risk. The exam tests the classical definition, addition and multiplication rules, conditional probability and independence, Bayes' theorem in simple form, random variables, expectation and variance of a random variable, and the binomial distribution as an application.
288 words, about 1 min