Course curriculum

  • 2

    ✅ Masterclasses 🚀

  • 3

    Practice Tests 💯

    • Further Maths Quiz 1

    • Further Maths Quiz 1 Solutions

  • 4

    Chapter 1 - Displaying, describing and summarising data distributions

    • Intro

    • KIS Chapter 1 worksheet

    • 1.1 - Types of Data

    • 1.2 - Measurements of Numerical Data

    • 1.3 - Displaying and describing and distribution of data

    • 1.4 - Using a Log scale to Display Data

    • 1.5 - Dot plot and stem plots

    • 1.6 - Box plots

    • 1.7 - Mean, standards deviation and significant figures

    • 1.8 - Normal distribution and standards scores

    • KIS chapter 1 complete

  • 5

    Chapter 2 - Associations between two variables

    • KIS chapter 2 worksheet

    • 2.1 - Response and explanatory variables

    • 2.2 - Associations between categorical variables

    • 2.3 - Associations between a categorical and Numerical Data

    • 2.4 - Associations between numerical variables

    • 2.5 - Calculating the correlation coefficient

    • 2.6 - The coefficient of determination

    • 2.6A - Coefficient of determination - part 2

    • 2.7 - Correlation and causality

    • KIS chapter 2 complete

  • 6

    Chapter 3 - Regression

    • KIS chapter 3 worksheet

    • 3.1 - Least - squares regression line

    • 3.2 - Regression Analysis

    • KIS chapter 3 complete

  • 7

    Chapter 4 - Data transformation

    • KIS chapter 4 worksheet

    • 4.1 - Data Transformation

    • KIS chapter 4 complete

  • 9

    Chapter 6 - Modelling growth and decay using recursion

    • KIS chapter 6 worksheet

    • 6.1 - Sequences and recurring relations

    • 6.2 - Modelling linear growth and decay

    • 6.2A - Applications of Linear Growth

    • 6.3 - Modelling Geometric Growth and Decay

    • 6.4 - Nominal and effective interest rates

    • KIS chapter 6 complete

  • 10

    Chapter 7 - Modelling and analysing reducing-balance loans and annuities

    • KIS chapter 7 worksheet

    • 7.1 - Analysing reducing balance loans with recurrence relations

    • 7.2 - Analysing reducing balance loans with a finance solver

    • 7.3 - Interest - only Loans

    • 7.4 - Annuities

    • 7.5 - Perpetuities

    • 7.6 - Compound interest investments with regular additions to the principal

    • KIS chapter 7 complete

  • 11

    Chapter 8 - Matrix Basics

    • KIS chapter 8 worksheet

    • 8.1 - Introduction to matrices

    • 8.2 - Matrix Arithmetic

    • 8.3 - Matrix multiplication

    • 8.4 - Matrix powers

    • 8.5 - Binary, permutation, communication and dominance matrices

    • KIS chapter 8 complete

  • 12

    Chapter 9 - Applications of Matrices

    • KIS chapter 9 worksheet

    • 9.1 - Inverse Matrices

    • 9.2 - Solving simultaneous linear equations

    • 9.3 - Transition Matrices

    • 9.4 - Transition Matrices 2

    • KIS chapter 9 complete

  • 13

    Chapter 10 - Graphs, networks and trees

    • KIS chapter 10 worksheet

    • 10.1 - Graphs and networks

    • 10.2 - Adjacency and travelling

    • 10.3 - Exploring and travelling

    • 10.3A - Exploring and travelling - part 2

    • 10.4 - Weighted graphs and networks

    • 10.5 - Trees and minimum connector problems

    • KIS chapter 10 complete

  • 14

    Chapter 11 - Flow, matching and scheduling problems

    • KIS chapter 11 worksheet

    • 11.1 - Flow Problems

    • 11.2 - Matching and Allocation problems

    • 11.3 - Scheduling problems

    • 11.3A - Scheduling problems - part 2

    • 11.4 - Crashing

    • KIS chapter 11 complete

  • 15

    Chapter 12 - Geometry and measurement

    • KIS chapter 12 worksheet

    • 12.1 - Properties of parallel lines, triangles and polygons

    • 12.2 - Pythagoras' theorem

    • 12.3 - Similar Figures

    • 12.4 - Volumes and surface areas

    • 12.5 - Areas, volumes and similarities

    • 12.5A - Areas, volumes and similarities - part 2

    • KIS chapter 12 complete

  • 16

    Chapter 13 - Areas, volumes and similarities

    • KIS chapter 13 worksheet

    • 11.1 - Trigonometric ratios and rules

    • 13.2 - Area of a triangle

    • 13.3 - Angles of elevation, depression, bearings and triangulation

    • 13.4 - Problems in three dimensions

    • KIS chapter 13 complete

  • 17

    Chapter 14 - Spherical Geometry

    • KIS chapter 14 worksheet

    • 14.1 - Arc Length, Area of a sector, Area of a segment

    • 14.2 - Latitude and Longitude

    • 14.3 - Time Zones

    • 14.4 - Using pythagoras' theorem in spheres

    • KIS chapter 14 complete

  • 18

    Chapter 15 - Constructing Graphs

    • KIS chapter 15 worksheet

    • 15.1 - The gradient of a straight line

    • 15.215.2 - The general equation of a straight line and how to find the equation

    • 15.3 - The equation of a straight line in intercept form and linear models

    • 15.4 - Simultaneous linear equations

    • 15.5 - Break Even Analysis

    • KIS chapter 15 complete

  • 19

    Chapter 16 - Analysing and interpreting graphs

    • KIS chapter 16 worksheet

    • 16.1 - Line segment graphs

    • 16.2 - Step Graphs

    • 16.3 - Non-linear graphs

    • 16.4 - Lines in the form y = kx^n

    • 16.5 - Linear representation of non-linear relations

    • 16.5A - Determining rules for a set of non-linear data points

    • KIS chapter 16 complete

  • 20

    Chapter 17 - Linear Programming

    • KIS chapter 17 worksheet

    • 17.1 - Regions defined by inequalities

    • 17.2 - Objective functions

    • KIS chapter 17 complete

  • 21

    Exam Preparation 🧑‍🎓

    • Exam Preparation 🧑‍🎓