The Pure Mathematics exam is designed to assess your understanding of advanced mathematical concepts, theories, and problem-solving skills. It will test your ability to apply rigorous logical reasoning, proofs, and analytical techniques to abstract mathematical problems.
Algebra and Linear Algebra – matrices, vectors, groups, rings, and fields.
Calculus and Analysis – limits, derivatives, integrals, sequences, and series.
Differential Equations – solving ordinary and partial differential equations.
Real and Complex Analysis – functions, convergence, continuity, and complex numbers.
Topology and Abstract Mathematics – basic set theory, topology, and proofs.
Answer all questions.
Each question has four options; select the most appropriate answer.
Questions may cover any of the expected topics listed above.
Answer all questions.
Each response should be concise (2–5 sentences).
Questions may involve proving theorems, solving equations, or explaining abstract mathematical concepts.
The exam will be shared with you upon hire.
Compile all your answers in one Word document.
Ensure your answers are clearly labeled with the question numbers.
Submit your completed document by 3rd February 2026, 11:00 PM.