Mathematics 8300/1H June 2021

The exam paper focuses on higher-tier mathematics without calculator use, covering arithmetic, algebra, geometry, probability, and trigonometry. Arithmetic includes percentages, ratios, bounds, standard form, and fractions. Algebra involves solving equations, simultaneous equations, sequences, quadratic expressions, and graph transformations. Geometry addresses circle theorems, transformations, gradients, areas, and constructing tangents. Probability tasks include tree diagrams, expected outcomes, and statistical reasoning. Real-world applications focus on financial calculations, proportional reasoning, and optimization problems. Additional topics include cumulative frequency, inequalities, and trigonometric equations involving sine, cosine, and tangent. Keywords: arithmetic, algebra, geometry, probability, quadratic expressions, transformations, circle theorems, financial reasoning, trigonometry.