CSCA Mathematics Formula & Concept Reference
Browse CSCA Mathematics formulas, concepts, and principles grouped by syllabus topic, with links to tutorials, worked examples, and practice.
Check the CSCA exam registration, subject, and syllabus guide
Browse formulas and concepts by syllabus topic
- Set Difference Sets and Inequalities › Sets › Operations on Sets
- Union Sets and Inequalities › Sets › Operations on Sets
- Complement Sets and Inequalities › Sets › Operations on Sets
- Intersection Sets and Inequalities › Sets › Operations on Sets
- De Morgan's Laws Sets and Inequalities › Sets › Operations on Sets
- De Morgan's Laws (Set Form) Sets and Inequalities › Sets › Operations on Sets
- General Form of a Line Equation Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Reduction Formula (Complementary Angles) Functions › Basic Elementary Functions › Trigonometric Functions
- Sine of Sum of Two Angles Formula Functions › Basic Elementary Functions › Trigonometric Functions
- Conditions for Parallel and Perpendicular Lines Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Point - Slope Form of a Line Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Definition of Tangent Function Functions › Basic Elementary Functions › Trigonometric Functions
- Definition of Cosine Function Functions › Basic Elementary Functions › Trigonometric Functions
- Reduction Formulas (Odd - Even Rule, Sign Determined by Quadrant) Functions › Basic Elementary Functions › Trigonometric Functions
- Distance from a Point to a Line Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Cosine Values of Special Angles Functions › Basic Elementary Functions › Trigonometric Functions
- Sum of the First n Terms of a Geometric Sequence ( q = 1 ) Functions › Sequences › Geometric Sequences
- Geometric Mean Formula Functions › Sequences › Geometric Sequences
- Relationship between Tangent, Sine, and Cosine Functions › Basic Elementary Functions › Trigonometric Functions
- Sine Values of Special Angles Functions › Basic Elementary Functions › Trigonometric Functions
- Sum of an Infinite Geometric Series ( |q| < 1 ) Functions › Sequences › Geometric Sequences
- Slope Relationship of Two Parallel Lines Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Definition of Sine Function Functions › Basic Elementary Functions › Trigonometric Functions
- Slope - Intercept Form of a Line Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Slope Relationship of Two Perpendicular Lines Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Cosine of Sum of Two Angles Formula Functions › Basic Elementary Functions › Trigonometric Functions
- Two - Point Form of a Line Equation Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
- Pythagorean Identity Functions › Basic Elementary Functions › Trigonometric Functions
- General Term Formula of a Geometric Sequence Functions › Sequences › Geometric Sequences
- Sum of the First n Terms of a Geometric Sequence ( q eq 1 ) Functions › Sequences › Geometric Sequences
- Vector Product (Cross Product) Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Magnitude (Length) of a Vector Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Vector Addition Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Dot Product (Inner Product) of Vectors Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Cross Product (Outer Product, 3D only) Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Scalar Multiplication of a Vector Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Vector Addition (Parallelogram Law) Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Scalar Multiplication of Vectors Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Magnitude (Length) of a Vector Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Scalar Product (Dot Product) Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
- Definition of Logarithmic Function Functions › Basic Elementary Functions › Logarithmic Functions
- Logarithm Properties: Logarithm of a Product Functions › Basic Elementary Functions › Logarithmic Functions
- Properties of Logarithms: Product, Quotient, Power Functions › Basic Elementary Functions › Logarithmic Functions
- Logarithm Properties: Logarithm of a Power Functions › Basic Elementary Functions › Logarithmic Functions
- Sum of the First n Terms of an Arithmetic Sequence (Formula 1) Functions › Sequences › Arithmetic Sequence: Formula & Summation
- Logarithm Properties: Logarithm of a Quotient Functions › Basic Elementary Functions › Logarithmic Functions
- Change of Base Formula Functions › Basic Elementary Functions › Logarithmic Functions
- Complex Number Division Formula Geometry and Algebra › Vectors and Complex Numbers › Arithmetic Operations on Complex Numbers
- Complex Number Subtraction Formula Geometry and Algebra › Vectors and Complex Numbers › Arithmetic Operations on Complex Numbers
- Complex Number Addition Formula Geometry and Algebra › Vectors and Complex Numbers › Arithmetic Operations on Complex Numbers
- Natural Logarithm and Common Logarithm Functions › Basic Elementary Functions › Logarithmic Functions
- Logarithmic Identity Functions › Basic Elementary Functions › Logarithmic Functions
- General Term Formula of Arithmetic Sequence Functions › Sequences › Arithmetic Sequence: Formula & Summation
- Sum of the First n Terms of an Arithmetic Sequence (Formula 2) Functions › Sequences › Arithmetic Sequence: Formula & Summation
- Complex Number Multiplication Formula Geometry and Algebra › Vectors and Complex Numbers › Arithmetic Operations on Complex Numbers
- Parity of Functions After Operations Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Exponential Function Graph and Properties: Monotonicity Functions › Basic Elementary Functions › Exponential Functions
- Definition of Periodicity of a Function Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Range of the Radical Function √(ax + b) Functions › Concepts and Properties of Functions › Range of a Function
- Range of an Inverse Proportional Function Functions › Concepts and Properties of Functions › Range of a Function
- Monotonicity of Composite Functions (Same Increase/Decrease) Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Definition of Even and Odd Functions Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Addition Rule for Mutually Exclusive Events Probability and Statistics › Classical Probability and Probability Calculation
- Exponential Function Operation Rule: Division Functions › Basic Elementary Functions › Exponential Functions
- Definition of Odd and Even Functions Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Classical Probability Formula Probability and Statistics › Classical Probability and Probability Calculation
- Definition of Monotonicity of a Function Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Definition of Boundedness of a Function Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Property of Exponential Functions: Division of Powers with Same Base Functions › Basic Elementary Functions › Exponential Functions
- Definition of Monotonicity of a Function Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Natural Exponential Function Functions › Basic Elementary Functions › Exponential Functions
- Exponential Function Operation Rule: Power of a Power Functions › Basic Elementary Functions › Exponential Functions
- Definition of Periodicity of a Function Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Property of Exponential Functions: Multiplication of Powers with Same Base Functions › Basic Elementary Functions › Exponential Functions
- General Addition Rule (Inclusion - Exclusion Principle) Probability and Statistics › Classical Probability and Probability Calculation
- Monotonicity of Composite Functions (Same Increase, Different Decrease) Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Probability of Complementary Events Probability and Statistics › Classical Probability and Probability Calculation
- Property of Exponential Functions: Power of a Power Functions › Basic Elementary Functions › Exponential Functions
- Range of a Quadratic Function (Vertex Formula) Functions › Concepts and Properties of Functions › Range of a Function
- Symmetry of Functions (Axial and Central Symmetry) Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties
- Probability of Complementary Event Probability and Statistics › Classical Probability and Probability Calculation
- General Form of Exponential Function Functions › Basic Elementary Functions › Exponential Functions
- Exponential Function Operation Rule: Multiplication Functions › Basic Elementary Functions › Exponential Functions
- General Addition Rule for Probability Probability and Statistics › Classical Probability and Probability Calculation
- Graph of Exponential Function and the Base Functions › Basic Elementary Functions › Exponential Functions
- Range of a Linear Function Functions › Concepts and Properties of Functions › Range of a Function
- Definition of Range of a Function Functions › Concepts and Properties of Functions › Range of a Function
- Addition Rule for Mutually Exclusive Events Probability and Statistics › Classical Probability and Probability Calculation
- Directrix Equation Formula (Standard Equation y² = 2px ) Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
- Using First Derivative to Determine Monotonicity and Extrema Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Standardization Transformation for Normal Distribution Probability and Statistics › Normal Distribution
- Domain Condition for Logarithmic Functions Functions › Concepts and Properties of Functions › Domain of a Function
- Normal Line Equation Formula Functions › Preliminary Derivatives › Geometric Meaning of Derivative
- Using Second Derivative to Determine Extrema (Sufficient Condition) Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Basic Concept of Function Domain Functions › Concepts and Properties of Functions › Domain of a Function
- Probability Density Function of Standard Normal Distribution Probability and Statistics › Normal Distribution
- Tangent Line Equation Formula Functions › Preliminary Derivatives › Geometric Meaning of Derivative
- Probability Density Function of Normal Distribution Probability and Statistics › Normal Distribution
- Focus Coordinates Formula (Standard Equation y² = 2px ) Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
- Geometric Meaning of Derivative Functions › Preliminary Derivatives › Geometric Meaning of Derivative
- Finding Domain of Composite Functions Functions › Concepts and Properties of Functions › Domain of a Function
- Necessary Condition for Local Extrema Using Derivative (Fermat's Lemma) Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Standard Equation of a Parabola (Vertex at Origin, Focus on Positive x - axis) Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
- Definition of Maximum and Minimum of a Function Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Using the Second Derivative to Determine Extrema Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Domain Condition for Rational Functions Functions › Concepts and Properties of Functions › Domain of a Function
- Extreme Value Theorem for Continuous Functions on a Closed Interval Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Vertex Form Equation of a Parabola (Vertex at (h, k), Axis Parallel to y - axis) Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
- General Steps to Find Extrema of a Continuous Function on a Closed Interval Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Basic Definition of Function Domain Functions › Concepts and Properties of Functions › Domain of a Function
- Domain of a Rational Function Functions › Concepts and Properties of Functions › Domain of a Function
- Domain of a Function with Even - Indexed Radical Functions › Concepts and Properties of Functions › Domain of a Function
- Steps to Find Extrema of a Continuous Function on a Closed Interval Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Standard Equation of a Parabola (Vertex at Origin, Focus on Positive y - axis) Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
- The "3σ" Rule (Empirical Rule) for Normal Distribution Probability and Statistics › Normal Distribution
- Finding Extrema Using Derivatives (First Derivative Test) Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
- Finding the Domain of a Composite Function Functions › Concepts and Properties of Functions › Domain of a Function
- Domain of a Logarithmic Function Functions › Concepts and Properties of Functions › Domain of a Function
- Domain Condition for Even Root Functions Functions › Concepts and Properties of Functions › Domain of a Function
- Equation of a Circle Centered at the Origin Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Circles