Additional mathematics is also called PI and was used in Ancient Egyptian civilizations. Pi helped the Egyptians plan the construction of the pyramids.
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Well, Additional Mathematics is sort of halfway between O' Level Mathematics and A' Level Mathematics; though it is closer to O Level in terms of difficulty. Here in the Caribbean AddMath was a prerequisite for doing A Level Math. I say was because we no longer do CIE Exams, we follow our regional exam body CXC. It is no longer a pre-requisite for Advanced Level CXC Math, but the pursuit of AddMath at Lower Secondary level is encouraged. If you are a student aiming to study, at higher levels, Mathematics, Physics, or Engineering then I suggest you pursue a course of AddMath since it makes the transition from Lower Secondary to Upper Secondary Mathematics easier, and familiarizes one with higher level techniques at a layman level.
The history of mathematics is the study into the origins of math. Its uncertain when math originated but it has been found in use since the Ancient Egyptian empire in 2000 BC.
The index number for an additional mathematics project would be something that you include so that it is easily referenced. These are typically used when posting research online.