Oxford Interview Questions: Maths

25 maths interview questions, each talked through the way a tutorial works

What is inside · all 10 pages

1. Page 1 · Free previewThe Oxford maths interview on one page (dates, whiteboard set-up, what tutors look for) and two questions worked aloud
2. Page 2 · LockedThe method: what to say when stuck, how to use a hint, writing on the shared whiteboard, the questions about you
3. Page 3 · LockedNumber and proof: divisibility, primes, squares and differences of squares
4. Page 4 · LockedSequences and series: odd-number sums, a recurrence, the harmonic series, sketching y = x e^-x
5. Page 5 · LockedGraphs and functions: asymptotes, counting roots, self-inverse functions, comparing e^π and π^e
6. Page 6 · LockedCalculus thinking and geometry: infinite area with finite volume, bounding an integral, ratios and invariants
7. Page 7 · LockedCounting and probability: polygon diagonals, shared birthdays, grid paths, waiting for heads
8. Page 8 · LockedProbability and logic: breaking a stick, the handshake argument, the light coin, and your toolkit of ideas
9. Page 9 · LockedA 25-minute mock-interview script for a parent or friend, with three unseen problems and the hints to give
10. Page 10 · LockedThe self-review checklist, a seven-day plan and Oxford's checklist for the day