In 2020, I received 45 points in IB, including 3 core points. This Extended Essay allowed me to achieve that grade. Understanding its style, structure and presentation will help boost EE marks considerably. The essay’s title is, ‘What is modular arithmetic, and how can it be applied to solve problems in the field of number theory?’. It involves introducing the concept, rigorously defining its key properties, showing examples of its problem-solving capabilities and then producing original solutions to number theory problems. Its structure is well-defined and would provide a good example for any Mathematics Extended Essay. This essay is to be used as an exemplar ONLY, to show an example of what a high-scoring EE looks like. Academic honesty is extremely important in the IB, and any plagiarism will risk the entire qualification.

In 2020, I received 45 points in IB, including a A in TOK. This essay allowed me to achieve that grade. As TOK has a unique and highly technical form, understanding this essay’s style, structure and presentation will boost TOK marks considerably. The essay dealt with the Knowledge Question: ‘‘Statistics conceal as much as they reveal.’ Discuss this claim with reference to two areas of knowledge.’ It systematically examines the claim and counter-claim behind this question through the lens of two specific Areas of Knowledge: mathematics and the human sciences. Its structure is clearly presented and provides a strong example of high-scoring TOK Essay format. This essay is to be used as an exemplar ONLY, to show an example of what a high-scoring TOK Essay looks like. Academic honesty is extremely important in the IB, and any plagiarism will risk the entire qualification.