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, areas, volumes, and gradients. Probability tasks include tree diagrams, expected outcomes, Venn diagrams, and relative frequencies. Real-world applications focus on proportional reasoning, optimization problems, speed-distance-time calculations, and statistical analysis. Additional topics include vector operations, cumulative frequency, iterative methods, and constructing tangents. Keywords: arithmetic, algebra, geometry, probability, transformations, quadratic functions, circle theorems, real-world applications.