Mathematics 8300/3H June 2020

The exam paper emphasizes higher-tier mathematics with calculator use, covering arithmetic, algebra, geometry, probability, and real-world applications. Arithmetic includes percentages, ratios, bounds, unit conversions, and proportional reasoning. Algebra addresses solving quadratic equations, graph transformations, sequences, simultaneous equations, and algebraic proofs. Geometry involves circle theorems, transformations, trigonometry, areas, volumes, and vector calculations. Probability tasks include tree diagrams, Venn diagrams, iterative probabilities, and statistical reasoning. Real-world applications focus on optimization problems, financial calculations, and speed-distance-time analysis. Additional topics cover constructing gradients, cumulative frequency, and iterative methods. Keywords: arithmetic, algebra, geometry, probability, quadratic functions, transformations, real-world applications, circle theorems.