The exam paper emphasizes higher-tier mathematics without calculator use, covering arithmetic, algebra, geometry, probability, and trigonometry. Arithmetic tasks include percentages, ratios, bounds, fractions, and standard form. Algebra involves solving equations, simultaneous equations, sequences, quadratic expressions, and graphing. Geometry includes transformations, circle theorems, areas, gradients, and vector calculations. Probability tasks involve tree diagrams, expected outcomes, and statistical reasoning. Real-world applications feature proportional reasoning, financial calculations, and interpreting graphs. Additional topics include cumulative frequency, sine and cosine rules, inequalities, and trigonometric proofs. Keywords: arithmetic, algebra, geometry, probability, quadratic expressions, transformations, trigonometry, financial reasoning, circle theorems, proportional reasoning.