I completed my iGCSEs between 2022 and 2024 and faced difficulty finding resources that comprehensively explained mathematical concepts, whilst providing lots of difficult practice questions, whilst also being free. With , I hope to bring access to education in mathematics, for those who would rather not spend hundreds on online courses or physical textbooks, whilst providing sufficient and applicable questions pertaining to what the IB gives in exams.

Obviously when dealing with math at a higher level than iGCSEs, you are assumed to know most of the topics listed below. In general, I'll try my best to explain topics to an iGCSE level, but most practice questions will be harder. Also, due to the IB AA HL-nature of the content, you're going to be expected to solve these problems without a calculator (unless explicitly stated). At the end of every chapter, I'll try to include a "practical application" section to show how you might use the content in real-life examples.

At this point, I'd like to bring you attention to a cool function/formula lookup and question driller tool, just underneath 's logo (with an icon that looks like a calculator). These tools (aptly named find and drill) lets you find formulae with descriptions and generate questions on any of the topics covered in the chapters here. Check it out!

As mentioned above, you can use them to find formulae, but also generate questions. To find formulae, just type in the name (i.e. "series") and it should display any equations that have the word "series" in them. For the question generator, type in any topic covered in these chapters, and then click the left/right arrows to increase/decrease question quantity, and then click generate questions to make them on the spot. Right now, I've only got a generator for chapter 01, so stay alert for when I make other generators!

Any of the formulae in findr is based on the International Baccalaureate Mathematics Analysis and Approaches Version 1.0 First examinations 2021 formula booklet.

When going through this course, you're required to be proficient to a certain degree in the following areas (although, I'll provide baseline knowledge when building up to more complex topics). You may hover over each topic to find out specific content knowledge.

It seems like a lot of presumed knowledge, but if you know the contents above, you will find the content of this course a lot easier to work through! Also, your best bet for revision, is to either use past papers, or the ECQs (explained below) to actually your knowledge. That's why this resource is great, because questions dotted throughout rely on your application skills, rather than adjusting a few values but maintaining the same framework, as most "helpful" math books do.

Throughout the course, I've developed some end-of-chapter questions, which will help you solidify concepts you learnt in the chapter. When I define some of these as "hard", it can mean that the content itself is difficult, or it can mean that it takes a lot of time to interpret/solve to get an answer. Below is an example of the latter (taken from Q01H). Lastly, and at least for now, I'll only have 5 easy and 5 hard questions (it takes a lot of time to prepare them) - this also means that there's currently no markschemes for the answers, so rely on your own judgement on what's correct.

The line is parallel to another line, , with an equation and passes through the point .