🎯 CSAT Math 101
Arithmetic - Ratio, Proportion & Variation
Basic ratio & proportion
Age problems using ratios
Partnership problems (time-based investments)
Direct variation
Inverse variation
Arithmetic - Percentages
Ratio to percentage conversion
Basic percentage calculations
Percentage increase/decrease
Successive percentage changes
Cost Price (CP), Selling Price(SP), Marked Price(MP)
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Arithmetic - Profit, Loss & Discount
Successive discounts
Discount v/s Profit relationship
False weight, adulteration
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Arithmetic - Simple & Compound Interest
SI, CI formulae
Difference between SI and CI
Quarterly/Half-yearly/Yearly compounding
Growth Depreciation models
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Arithmetic - Averages & Alligation
Averages & weighted averages
Replacement of quantities
Alligation rules
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Arithmetic - Time, Speed & Distance
Average speed
Relative speed - opposite & same direction
Trains, boats & streams
Circular tracks and meeting points
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Arithmetic - Time & Work
Work efficiency
Pipes and cisterns
Work and wages
Combined and alternate work
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Algebra - Expressions & Identities
Expansion & factorization
Special identities - squares & cubes
Simplification & substitution
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Algebra - Linear Equation
Equation in one variable
Equation in two variables
Ratio method & substitution method
Word problems with linear relationships
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Algebra - Quadratic Equation
Roots of equations
Relationship between roots and coefficients
Discriminant and nature of roots
Maximum/minimum values
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Algebra - Inequalities & Modulus
Solving linear & quadratic inequalities
Modulus functions and graphical representation
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Algebra - Functions & Graphs
Domain, range
Increasing/decreasing functions
Inverse functions
Simple transformations
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Algebra - Progressions
nth Term & sum formulas - Arithmetic Progression
nth Term & sum formulas - Geometric Progression
nth Term & sum formulas - Harmonic Progression
Mean relationships (AM ≥ GM ≥ HM)
Sum to infinity, geometric mean
Application in growth/decay
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Number System - Basics of Numbers
Classification (Natural, Whole, Integers, Rational, Irrational)
Place value, digit sums
Factors, multiples, LCM, HCF
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Number System - Divisibilty & Remainders
Rules of divisibility
Euclid’s division lemma
Remainder theorem
Cyclicity and last digit patterns
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Number System - Base System & Cyclicity
Converting between bases
Finding last digits & unit digits
Repetitive remainders
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Number System - Factors & Factorials
Total number of factors
Highest power of a prime in n!
Trailing zeros
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Number System - HCF & LCM
Prime factorization
Relation: HCF×LCM=Product
Application in word problems
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Number System - Properties of Numbers
Even/odd, prime/composite, co-primes
Perfect squares, cubes
Divisibility by 9/11 techniques
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Geometry & Mensuration - Lines & Angles
Parallel lines, transversal angles
Properties of triangles and polygons
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Geometry & Mensuration - Triangles
Types of triangles
Pythagoras theorem & its converse
Similarity & congruence
Inradius, circumradius, medians
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Geometry & Mensuration - Circles
Tangents, chords, arcs
Angles subtended by chords
Power of a point
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Geometry & Mensuration - Quadrilaterals & Polygons
Parallelogram, trapezium, rhombus properties
Internal/external angle sums
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Geometry & Mensuration - Coordinate Geometry
Distance between points
Section formula, centroid
Equation of line, slope, intercepts
Circle equation basics
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Geometry & Mensuration - Mensuration
2D figures: area & perimeter (triangle, circle, square, rectangle)
3D solids: volume & surface area (cube, cuboid, cylinder, cone, sphere)
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Modern Math - Permutation & Combinations
Fundamental counting principle
Arrangement vs selection
Circular permutation
Restricted positions
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Modern Math - Probability
Basic probability & complementary events
Independent & dependent events
Conditional probability
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Modern Math - Set Theory & Venn Diagrams
Union, intersection, complement
Formula for 2-set & 3-set problems
Application in data interpretation
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Modern Math - Logarithms
Laws of logarithms
Change of base
Log equations and simplifications
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