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 financial reasoning. Algebra involves solving quadratic equations, graph transformations, sequences, simultaneous equations, and algebraic proofs. Geometry addresses circle theorems, transformations, trigonometry, volumes, areas, and gradient calculations. Probability tasks focus on tree diagrams, expected outcomes, Venn diagrams, and relative frequencies. Real-world applications include proportional reasoning, optimization problems, speed-distance-time calculations, and cumulative frequency analysis. Additional topics cover iterative methods, constructing tangents, and interpreting statistical data. Keywords: arithmetic, algebra, geometry, probability, quadratic functions, transformations, circle theorems, real-world applications.