Ratio and proportion, Indices, Logarithms.



Equations

Linear  simultaneous linear equations up to three variables, quadratic and cubic equations in one variable, equations of a straight line, intersection of straight lines, graphical solution to linear equations.



Inequalities

Graphs of inequalities in two variables common region.



Simple and Compound Interest including annuity, Applications



Basic concepts of Permutations and Combinations



Sequence and Series  Arithmetic and geometric progressions



Sets, Functions and Relations



Limits and Continuity, Intuitive Approach



Basic concepts of Differential and Integral Calculus (excluding trigonometric functions)



Statistical description of dataTextual, Tabular & Diagrammatic representation of data.Frequency Distribution.Graphical representation of frequency distribution  Histogram, Frequency Polygon, Ogive



Measures of Central Tendency and Dispersion

Arithmetic Mean, Median  Partition Values, Mode, Geometric Mean and Harmonic, Mean, Standard deviation, Quartile deviation



Correlation and Regression



Probability and Expected Value by Mathematical Expectation



Theoretical Distributions

Biomial, Poisson and Normal.



Sampling Theory

Basic Principles of sampling theory , Comparison between sample survey and complete enumeration , Errors in sample survey , Some important terms associated with sampling , Types of sampling , Theory of estimation , Determination of sample size .



Index Numbers

I would suggest you to go through with given below article to know the Syllabus & its topic regarding CACPT.

CA CPT Syllabus

Good Luck!