The exam paper emphasizes higher-tier mathematics with calculator use, covering arithmetic, algebra, geometry, and probability. Arithmetic tasks include percentages, ratios, unit conversions, and bounds calculations. Algebra involves solving equations, sequences, quadratic functions, graph transformations, and algebraic proofs. Geometry includes transformations, circle theorems, trigonometry, volumes, and gradient calculations. Probability tasks involve tree diagrams, expected outcomes, and Venn diagrams. Real-world applications address proportional reasoning, financial problems, and optimization scenarios. Additional topics include iterative processes, standard form, cumulative frequency, and completing the square. Keywords: arithmetic, algebra, geometry, probability, quadratic functions, transformations, trigonometry, financial reasoning, circle theorems, proportional reasoning.