The exam paper emphasizes higher-tier mathematics without calculator use, covering arithmetic, algebra, geometry, probability, and trigonometry. Arithmetic tasks include percentages, ratios, bounds, and standard form. Algebra addresses solving equations, sequences, quadratic expressions, and rearranging formulas. Geometry involves transformations, circle theorems, vectors, and gradient calculations. Probability tasks include tree diagrams and expected outcomes. Real-world applications feature optimization, proportional reasoning, and financial calculations. Additional topics include cumulative frequency, inequalities, constructing graphs, and trigonometric expressions involving sine, cosine, and tangent. Keywords: arithmetic, algebra, geometry, probability, transformations, circle theorems, trigonometry, quadratic expressions, financial reasoning, proportional reasoning.