# End of Chapter Exam Questions

## Core 1

 1 Basic Algebra - ALL 1 Basic Algebra - Mainly Surds 1 Basic Algebra - Mainly Quadratics 2 Polynomials 3 Coordinate Geometry 4 Differentiation 5 Integration

## Core 2

 1 Transformations of Functions 2 Sequences and Series 3 Trigonometry 4 Indicies and Logarithms 5 Further Differentiation 6 Further Integration

## Core 3

 1 Functions 2 Differentiation 3 Trigonometric Functions 4 Exponentials and Logarithms 5 Integration 6 Numerical Methods

## Core 4

 1 Algebra and Functions 2 Binomial Series 3 Trigonometry and Compound Angles 4 Exponential Models 5 Further Calculus 6 Vectors

## Statistics 1

 1 Numerical measures 2 Probability 3 The Binomial Distribution 4 The Normal Distribution 5 Estimation 6 Correlation and Regression

## Statistics 2

 1 Discrete Random Variables 2 The Poisson Distribution 3 Continuous Random Variables 4 Estimation 5 Hypothesis Testing 6 Chi-squared Contingency Table Tests

## Mechanics 1

 1 Modelling 2 Kinematics in One and Two Dimensions 3 Statics and Forces 4 Newton's Laws of Motion 5 Linear Momentum 6 Projectiles

## Mechanics 2

 1 Calculus in Kinematics 2 Moments 3 Centre of Mass 4 Work, Energy, Power 5 Elasticity 6 Circular Motion 7 Differential Equations

## Decision 1

 2 Minimum Spanning Trees (Kruskal's & Primms) 3 Shortest Path (Dijkstra's) 4 Route Inspection (Chinese Postman) 5 The Travelling Salesman Problem 6 Matching Problems 7 Linear Programming 8 Sorting 9 Algorithms

## Decision 2

 1 Allocation 2 Critical Path Analysis 3 Dynamic Programming 4 Game Theory 5 Network Flows 6 Linear Programming

Thanks Mr Marjoram for arranging these!

## FP1

 1 Roots and Coefficients of Quadratics 2 Series 3 Matrices 4 Transformations 5 Graphs of Rational Functions 6 Conics 7 Complex Numbers 8 Calculus 9 Trigonometry 10 Numerical Solutions of Equations 11 Linear Laws

## FP2

 1 Complex Numbers 2 Roots of Polynomial Equations 3 Summation of Infinite Series 4 De Moivre's Theorem and its Applications 5 Inverse Trigonometrical Functions 6 Hyperbolic Functions 7 Arc Length and Area of Surface of Revolution

## FP3

 1 Series and Limits 2 Polar Coordinates 3 Introduction to Differential Equations 4 Numerical Methods for the Solution of First Order Differential Equations 5 Second Order Differential Equations

## FP4

 1 Matrix Algebra 2 The Vector Product 3 Determinants 4 Applications of Vector Products 5 Inverse Matrices 6 Solving Linear Equations 7 Eigenvectors

## Core 1

 1 Basic Algebra - ALL 1 Basic Algebra - Mainly Surds 1 Basic Algebra - Mainly Quadratics 2 Polynomials 3 Coordinate Geometry 4 Differentiation 5 Integration

## Core 2

 1 Transformations of Functions 2 Sequences and Series 3 Trigonometry 4 Indicies and Logarithms 5 Further Differentiation 6 Further Integration

## Core 3

 1 Functions 2 Differentiation 3 Trigonometric Functions 4 Exponentials and Logarithms 5 Integration 6 Numerical Methods

## Core 4

 1 Algebra and Functions 2 Binomial Series 3 Trigonometry and Compound Angles 4 Exponential Models 5 Further Calculus 6 Vectors

## Statistics 1

 1 Numerical measures 2 Probability 3 The Binomial Distribution 4 The Normal Distribution 5 Estimation 6 Correlation and Regression

## Statistics 2

 1 Discrete Random Variables 2 The Poisson Distribution 3 Continuous Random Variables 4 Estimation 5 Hypothesis Testing 6 Chi-squared Contingency Table Tests

## Mechanics 1

 1 Modelling 2 Kinematics in One and Two Dimensions 3 Statics and Forces 4 Newton's Laws of Motion 5 Linear Momentum 6 Projectiles

## Mechanics 2

 1 Calculus in Kinematics 2 Moments 3 Centre of Mass 4 Work, Energy, Power 5 Elasticity 6 Circular Motion 7 Differential Equations

## Decision 1

 2 Minimum Spanning Trees (Kruskal's & Primms) 3 Shortest Path (Dijkstra's) 4 Route Inspection (Chinese Postman) 5 The Travelling Salesman Problem 6 Matching Problems 7 Linear Programming 8 Sorting 9 Algorithms

## FP1

 1 Roots and Coefficients of Quadratics 2 Series 3 Matrices 4 Transformations 6 Conics 5 Graphs of Rational Functions 7 Complex Numbers 8 Calculus 9 Trigonometry 10 Numerical Solutions of Equations 11 Linear Laws

## FP2

 1 Complex Numbers 2 Roots of Polynomial Equations 3 Summation of Infinite Series 4 De Moivre's Theorem and its Applications 5 Inverse Trigonometrical Functions 6 Hyperbolic Functions 7 Arc Length and Area of Surface of Revolution

## Fp3

 1 Series and Limits 2 Polar Coordinates 3 Introduction to Differential Equations 4 Numerical Methods for the Solution of First Order Differential Equations 5 Second Order Differential Equations