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!