This chapter on Analytical Geometry covers the basics such as gradient, finding the midpoint and distance between two points and moves on to the angle of inclination, the equation of a circle with centre at origin and centre (a;b). Finally it covers tangents to the circle. Check out the exercises to make sure you get […]

# Category Archives: Chapters

Find all the relevant study guide chapters you need here – from grade 10 to grade 12 mathematics, and more to come :)

If you have any questions you need help with – leave a question for us and we will answer them as soon as possible.

The Trigonometry Chapter covers all the work you have learnt from grade 10 to grade 12. It has the basics about ratios, the special angles, double and compound angles, drawing graphs, identities, general solutions and specific solutions, and solving 2D and 3D triangles and problems. Download here: Trigonometry Chapter

The statistics chapter covers everything you need to know about statistics – it starts with the basics: mean, median and mode, moves onto measures of dispersion like variance and standard deviation and then looks at box and whisker plots, regression lines and being able to analyse different graphs. Download here: Statistics Chapter Grade 12

Use this chapter to study all things related to finance, from simple and compound interest, depreciation and effective interest rates, to learning about future-value annuities and present-value annuities. This chapter has great tips and hints and has a summary exercise at the end to help you with your exams. Download here: Chapter 7 – Finance

Linear programming is about using straight line graphs to optimise (in other words find the maximum or minimum) solution for a number of constraints. We show how to find the constraints, how to draw the constraints onto the Cartesian plane and how to find the profit or loss. There are lots of great examples for […]

Learn all about calculus in this chapter: from learning about average gradient, to limits, to gradient at a point; before learning how to use first principals to differentiate and then learn the short rules of differentiation. Move on to learning how to draw a cubic graph and solving cubic graph equations for the minimum and […]

Practice your basic factorisation skills then move on to the factor and remainder theorem before learning how to factorise cubic equations. Finally learn how to deal with inequalities with our original questions. Download here: Chapter 4 – Factorisation, The Factor theorem and Inequalities

Revise the straight line, hyperbola and parabola functions and then practice determining whether a given graph is a function and use this in the application of log graphs and exponential graphs. Download here: Chapter 3 – Functions and Inverses

Use this chapter to revise quadratic patterns and practice your skills with the sequences and series sections that cover all the basics, sum to infinity and sigma notation. Remember to try all the questions because the more you practice the better you get. Download here: Chapter 2 – Number Patterns, Sequences and Series

In this chapter you can revise your exponential skills as well as your surd skills (because logs are linked to exponents) and then move onto practicing the basics of logs and finally move onto practicing applications of logs with regards to finance. Download here: Chapter 1 – Theory and Questions Chapter 1 – Answers

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