Oxford Interview Questions: MathsFree try up to 8 min, Full practice up to 8 minTry freeup to 8 minUnlock all$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Unlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription

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Oxford Maths Interview Questions 2026 (With Worked Approaches)

What happens in an Oxford maths interview, the December 2026 timetable, 10 practice questions with two worked aloud step by step, and a plan for the weeks before.

Oxford Maths Interview Questions 2026 (With Worked Approaches)Open the full article →

Checked 8 November 2026. Dates, statistics and technology rules are from the University of Oxford and Mathematical Institute pages for 2027 entry. Your own invitation, from your college, gives your exact interview times and instructions; follow those if they differ from anything here.

An Oxford maths interview is online, lasts about 25 minutes and is largely mathematical, typically with two tutors: you may be given a problem, a curve to sketch or a new definition, and you work through it out loud while they prompt you. For 2027 entry most maths interviews fall on 14 to 17 December 2026 (some colleges may start the week of 7 December), so the best preparation now is to practise unfamiliar problems while explaining your thinking out loud, which is what the 10 practice questions and two worked approaches below are for. ProSyllabus is independent practice, not affiliated with the University of Oxford, and the practice questions on this page are our own selection and write-ups, not Oxford interview questions.

32%
of Mathematics / Mathematics and Statistics applicants interviewed (3-year average, 2023 to 2025)
9%
of applicants successful, for an average intake of 183
~25 min
per interview, largely mathematical
14 to 17 Dec
most first and second college maths interviews in 2026
12 Jan 2027
decisions for shortlisted candidates, via UCAS

Sources: University of Oxford Mathematics course page and 2026 interview timetables; Mathematical Institute interviews page.

Interview pack25 maths interview questions, each talked through the way a tutorial works
  • 25 original questions: number, proof, sequences, graphs, calculus, geometry, probability, logic
  • For each: what to say first, the approach step by step, and the trap
  • Where a tutor may take the conversation next, for every question
  • What to say when you are stuck, and how to use a hint
  • Writing maths on the shared whiteboard
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
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Oxford maths interview 2026: key facts

FactDetailSource
Courses coveredMathematics / Mathematics and Statistics (one UCAS entry, G100; students choose between them later). Mathematics and Philosophy and Mathematics and Computer Science share the published interview timetableMathematical Institute; 2026 interview timetables
Who is interviewedOnly shortlisted applicants; the department shortlists around three applicants per place, using the TMUA with the whole UCAS applicationMathematical Institute, TMUA page
InvitationsBy letter or email, usually between the middle of November and early December; you may get only a week's noticeOxford interviews guide
Most interviewsMonday 14, Tuesday 15, Wednesday 16 and Thursday 17 December 2026; some colleges may start in the week commencing Monday 7 December2026 interview timetables
Additional interviewsNotified by 2pm UK time (GMT) on Wednesday 16 December; held on 16 and 17 December; you should get at least 24 hours' notice. Oxford says interviews can fall outside the published windows2026 interview timetables
How many interviewsGenerally one or two at your first-choice college and at least one at another collegeMathematical Institute, interviews page
Length and contentAbout 25 minutes each, largely mathematical, typically with two tutors (occasionally more)Mathematical Institute; Oxford interviews guide
FormatOnline on Microsoft Teams, tier 3: a Miro whiteboard you write on with a stylus on a touchscreen deviceInterview technology page
Written workNone for MathematicsMathematics course page
Decisions12 January 2027 via UCAS; colleges follow up directly later that dayOxford interviews guide

What happens in an Oxford maths interview

The Mathematical Institute describes the interview in one paragraph, and it is worth reading closely because it gives four examples of tasks tutors may use. In its words: "We may ask you to tell us about an area of mathematics you have studied; we may look in detail at a point of technique, or curve sketching; we may ask you to solve a problem and talk us through your thought processes; we may give you a mathematical definition and ask you to work out some of its consequences. We are trying to see how you think when you do Mathematics." (Mathematical Institute, Interviews)

Kind of taskWhat it can look likeHow to practise
Tell us about something you studiedA topic from your A-level or wider reading, then a follow-up question that tests whether you understand why it worksPick two topics you enjoy and explain each to someone who has not studied it, then ask yourself "why?" three times
A point of technique or curve sketchingSketch a function you have not met, or look closely at one step of a methodSketch without a graphing app: symmetry, intercepts, behaviour for large x and near any gaps, then check
Solve a problem aloudAn unfamiliar problem with low knowledge content but several layers, with hints as you goSmall cases first, a guess, a test of the guess, then a reason it must be true
A definition and its consequencesA new rule or property you have never seen, and questions about what follows from itTry the simplest examples, then the edge cases (0, 1, negatives), then look for a general statement

How you are assessed

Oxford's course page says tutors are "most interested in an applicant's potential to think imaginatively, deeply and in a structured manner about the patterns of mathematics" (Mathematics course page). The admissions criteria for the mathematical sciences add three qualities, alongside aptitude and technical skill: "a capacity to absorb and use new ideas", "the ability to think and work independently", and "perseverance and enthusiasm", judged from the TMUA, the interviews, your exam record, reference and personal statement (admissions criteria).

Receiving a hint does not by itself mean you have done badly; what matters is how you use it. Oxford's guide says interviewers "are not trying to make you feel ignorant or catch you out, but to stretch you", and that if you do not know an answer you should work through it aloud, because "your final answer is only part of what they find out" (Oxford interviews guide). In Oxford's demonstration maths interview, recorded with two St Edmund Hall tutors and a current student, the tutors say afterwards that the early slips were something they "probably don't care about"; what they valued was the thought process and the ability to spot patterns and use them (demonstration interview).

Oxford Mathematics: of every 100 applicants
Applied100
Interviewed32
Successful9

Oxford's published 3-year average for Mathematics / Mathematics and Statistics, 2023 to 2025: 32% interviewed, 9% successful, intake 183. In other words, about one applicant in three was interviewed.

The two maths examples on Oxford's sample questions page

Oxford's sample questions page has two maths examples from interviewing tutors: the path traced by the middle rung of a ladder sliding down a wall, and the number of ways to tile a 2 × n grid with 2 × 1 tiles (Oxford sample interview questions). Read the tutors' commentary there, not just the questions: one tutor starts with "try working out the answer when n = 1,2,3,4 say", then asks why the pattern appears, then extends the problem. That example shows one useful progression: small cases, a pattern, an explanation, then an extension. Other questions may develop differently. We do not rework those questions or the demonstration interview here; the 10 below are our own selection, written up in the same spirit.

10 Oxford maths interview practice questions

These are practice questions at the level of a strong A-level Mathematics and Further Mathematics student, each labelled with its main practice focus. Several are well-known classics; the selection, wording and approaches are ours, and none is presented as an Oxford interview question. Each comes with a good first move and, so you can check yourself, where it should end up. Questions 1 and 2 are worked in full in the next sections. We cannot predict your interview questions; the point is to practise the habits, not to collect answers.

#Kind of taskQuestionA good first moveWhere it should end up
1Solve a problem aloudHow many squares, of any size, are there on an 8 × 8 chessboard if each square's sides run along the grid lines?Try a 1 × 1, 2 × 2 and 3 × 3 board first and look at where each square can sit.Worked in full below
2Curve sketchingSketch y = x sin(1/x).Check symmetry, then what happens for large x and near 0.Worked in full below
3Solve a problem aloud (proof)Is √2 + √3 rational?Suppose it equals a rational number r, write √3 = r − √2 and square both sides.No: you get √2 = (r² − 1)/(2r), which would make √2 rational
4Definition and consequencesCall a positive integer k "fair" if the sum of any k consecutive integers is always divisible by k. Which k are fair?Write the sum of k consecutive integers starting at a as one expression, then test k = 2, 3, 4.Exactly the odd k
5Curve sketchingSketch y = xˣ for x > 0.Rewrite it as e to the power x ln x; then ask what happens as x tends to 0 and where the gradient is zero.Tends to 1 as x → 0, minimum at x = 1/e, then grows fast
6Definition and consequencesA function f satisfies f(x + y) = f(x) + f(y) for all real x and y. What can you say about f?Put x = y = 0, then y = −x, then x = y; see how far whole numbers and fractions take you. Then ask what extra condition, such as continuity, would pin f down.f(q) = q f(1) for every rational q; if f is also continuous (even just at 0), f(x) = x f(1) for every real x. Additivity alone does not guarantee that
7Solve a problem aloudPut n distinct points on a circle and join every pair with a chord, with no three chords meeting at one point inside. Into how many regions is the inside of the circle cut?Count n = 1 to 5 and guess. Then count n = 6 carefully before you trust the guess: each new chord adds one region for every chord it crosses, plus one.1, 2, 4, 8, 16, then 31, not 32; in general 1 + C(n, 2) + C(n, 4)
8Solve a problem aloudThree points are chosen independently and uniformly at random on a circle. What is the probability that the triangle they make contains the centre?Fix the first point by symmetry, then think about where the other two must be. When do all three lie in one semicircle?1/4
9Tell us about something you studiedA friend says 0.999… is "just less than 1". Convince them, then tell us what you think a recurring decimal actually means.Give a quick argument, then say why it is really about the limit of 0.9, 0.99, 0.999, …They are equal; the decimal means a limit
10Point of techniqueHere is a "proof" that 2 = 1. Find the step that fails: let a = b, with b not zero; then a² = ab, so a² − b² = ab − b², so (a + b)(a − b) = b(a − b), so a + b = b, so 2b = b, so 2 = 1.Check each step for a hidden assumption. Which line divides, and by what?Cancelling a − b, which is 0
Interview pack25 maths interview questions, each talked through the way a tutorial works
  • 25 original questions: number, proof, sequences, graphs, calculus, geometry, probability, logic
  • For each: what to say first, the approach step by step, and the trap
  • Where a tutor may take the conversation next, for every question
  • What to say when you are stuck, and how to use a hint
  • Writing maths on the shared whiteboard
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription

Question 1 worked aloud: squares on a chessboard

Below is one possible reasoning path, written the way you might say it; explain it in your own words and follow the tutors' prompts. Notice how much is spoken before any formula appears: the question is easy to start and has layers, which is what makes it a good interview-style problem.

Question 1 worked aloud · solve a problem aloud

How many squares, of any size, are there on an 8 × 8 chessboard if each square's sides run along the grid lines?

One possible opening: "So tilted squares don't count, only ones lined up with the grid. I'll start with smaller boards to see how the count builds up."

  1. "On a 1 × 1 board there is 1 square. On a 2 × 2 board there are 4 small ones and 1 big one, so 5. On a 3 × 3 board: 9 small, 4 of size 2, 1 of size 3, so 14."
  2. "On the 3 × 3 board the counts for sizes 1, 2 and 3 are 9, 4 and 1, all square numbers. Let me see whether that happens on every board, and why."
  3. "A k × k square is fixed by where its top-left corner goes. On an n × n board that corner can sit in n − k + 1 columns and n − k + 1 rows, so there are (n − k + 1)² positions."
  4. "For the chessboard, k runs from 1 to 8: 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares."
  5. "In general that is 1² + 2² + … + n². There is a known formula, n(n + 1)(2n + 1)/6; for n = 8 it gives 8 × 9 × 17 / 6 = 204, which agrees with my direct sum. If you asked, I could prove the formula by induction."

Where a tutor might take it next: Rectangles. A rectangle is fixed by choosing 2 of the 9 vertical grid lines and 2 of the 9 horizontal ones, so there are 36 × 36 = 1,296, of which 204 are squares. Then an m × n board: the number of squares is the sum of (m − k + 1)(n − k + 1) for k from 1 up to the smaller of m and n.

Trap: Answering "64", or quoting the sum-of-squares formula with no reason for it. The top-left-corner argument is what explains the count, so say it out loud.

One way of thinking to practise in your own words, not a script or an Oxford question.

Question 2 worked aloud: sketching y = x sin(1/x)

Curve sketching is named by the Mathematical Institute as a typical interview task, and on a tier 3 interview you will draw on a shared whiteboard. Talk while you draw: say what you are checking and why, so the tutors can follow you even if the sketch is rough.

Question 2 worked aloud · curve sketching

Sketch y = x sin(1/x).

One possible opening: "It isn't defined at x = 0, so I'll check symmetry first, then what happens for large x, then near 0, and where it crosses the axis."

  1. "Symmetry: replacing x by −x gives (−x) sin(−1/x) = x sin(1/x), so the function is even. I only need x > 0 and then reflect in the y-axis."
  2. "Large x: let u = 1/x, so y = sin(u)/u with u tending to 0, and sin(u)/u tends to 1. For u > 0, sin u < u, so sin(u)/u < 1. So y = 1 is a horizontal asymptote, approached from below as x → ±∞."
  3. "Zeros: for x > 0, sin(1/x) = 0 when 1/x = kπ, so x = 1/(kπ) for k = 1, 2, 3, …, and reflecting gives the negative zeros. The largest is 1/π, about 0.32, and the zeros crowd together towards 0."
  4. "Near 0: |x sin(1/x)| ≤ |x|, so the curve is trapped between y = |x| and y = −|x| and is squeezed to 0. For x > 0 it touches y = x where sin(1/x) = 1, for example at x = 2/(5π), and y = −x where sin(1/x) = −1, for example at x = 2/(3π)."
  5. "For x > 1/π there are no more zeros: as x increases from 1/π, u = 1/x falls from π towards 0 and sin(u)/u rises from 0 towards 1, touching y = x one last time at x = 2/π. (To check it rises steadily: dy/dx = sin(1/x) − (1/x) cos(1/x) = sin u − u cos u with u = 1/x. On 0 < u < π this is 0 at u = 0 and has derivative u sin u > 0, so dy/dx > 0 for every x > 1/π.) Between 0 and 1/π the curve oscillates infinitely often between y = |x| and y = −|x|."
  6. "So the sketch: the curve approaches y = 1 from below as x → ±∞, and has infinitely many shrinking wiggles between y = |x| and y = −|x| as x approaches 0, with a single missing point at the origin, where the formula is undefined."

Where a tutor might take it next: If we define f(0) = 0, is f continuous at 0? Yes, by the squeeze. Is it differentiable there? The difference quotient is sin(1/h), which has no limit, so no. A tutor might then ask about g(x) = x² sin(1/x) with g(0) = 0: it is differentiable at 0 with g′(0) = 0, but for x ≠ 0, g′(x) = 2x sin(1/x) − cos(1/x), which has no limit as x → 0, so g′ is not continuous there.

Trap: Plotting points without a plan. Symmetry, the asymptote, the zeros and where the curve touches y = ±x give the main shape; the bound |y| ≤ |x| explains why the wiggles shrink towards the origin. Individual points come last, as checks.

One way of thinking to practise in your own words, not a script or an Oxford question.

How to think aloud in a maths interview

Oxford calls this its top tip: "Keep practising explaining what you are thinking - almost as if you are thinking out loud." The Mathematical Institute puts it more bluntly: "we are not mind-readers - if you don't say anything, we can't tell what you're thinking!" Thinking aloud is a skill, and it improves with practice. You do not need to narrate every keystroke, and a short pause to think is fine; explain your choices, your doubts and your checks. The loop below is our own optional tool, not an Oxford method.

StepWhat to sayWhy
1. Restate"So the question is asking…" and any assumption you are makingCatches a misreading in the first 20 seconds, not the last 5 minutes
2. Simplest cases"Let me try n = 1, 2, 3" or "let me try x = 0 and x = 1"Small cases are where patterns and counterexamples show up
3. Conjecture"It looks like… but I haven't shown it yet"Separates a guess from a result, which is what a mathematician does
4. Reason"This must be true because…"A reason turns a pattern into mathematics
5. Check"Does this agree with the cases I did?"A quick check shows care and catches slips
6. Extend"What if the board were m × n?", if there is time and the tutors are not steering elsewhereCan show the curiosity the criteria call enthusiasm

When you are stuck: honest lines that keep you moving

  • "I haven't met this before, so let me try a small example."
  • "I'm not sure this approach works, but I'll follow it and see where it breaks."
  • "Could you say the question again? I want to be sure I have the condition right."
  • "I think I've made a slip; let me check that line."
  • "That hint suggests looking at the corners; let me see what that gives."

Our own phrases, not Oxford's. Oxford's guide says you may explain that you have not covered a topic yet, that there may be more than one right way to answer, and not to be afraid to ask for a question to be repeated.

The online whiteboard: what tier 3 means for maths

Mathematics and its joint courses are tier 3 interviews: Microsoft Teams on a computer with a microphone, speakers and webcam, plus a Miro whiteboard that you write on with a basic universal stylus on a touchscreen device. A touchscreen computer may do both jobs at once. Oxford says no candidate or school is expected to buy a touchscreen device, so if you do not have one, ask the college that invited you (interview technology). Keep plain paper and a pen as well: Oxford says you may be asked to hold paper workings up to the camera.

Practise writing maths with a stylus before the day. It may feel slower than a pen, fractions and indices can come out cramped, and a sketch may take longer than you expect. A few sessions of working practice problems on any free whiteboard app with a stylus can make the real one feel more familiar. If your equipment fails or you need adjustments, contact the college that invited you straight away.

ItemNotes
Computer with Teams (installed or in a browser)No Microsoft account is needed; you get a separate Teams invitation for each interview
Touchscreen device and basic universal stylusFor the Miro whiteboard; a touchscreen computer may do both
Paper and pensFor notes; you may be asked to show written work on camera
A quiet space for your interview timesInterviews cannot be rearranged; keep 16 and 17 December clear for possible additional interviews (Oxford says you should get at least 24 hours' notice; notices come by 2pm on 16 December)
Comfortable clothesThe Mathematical Institute says: "We care about your mathematical ability, not your dress sense."

The interview code of conduct

By accepting an interview you agree, among other things, not to share the content of your interviews with anyone, not to research online any materials shared with you as part of a pre-interview task unless explicitly permitted, not to use assistive technology such as AI or automatic transcription beyond what your subject needs unless explicitly permitted, not to record interviews, to take part yourself, and not to let anyone else observe (full code of conduct). Recording yourself is for practice only, never the real interview. This is also why you should be sceptical of any site selling "real" or "leaked" Oxford maths interview questions: candidates agree not to share them, and the University publishes its own sample questions instead.

A plan for the weeks before your interview

Counting from 9 November, there are about five weeks before the main 14 to 17 December window, and some colleges may start from the week of 7 December, so finish your set-up and a full mock before your first interview, whenever it is. The Mathematical Institute does not want applicants to feel they need special training: "The main thing is that you do mathematics, lots of it, and that you find it interesting." This plan is ours and simply organises that advice. The best free extra is the department's own Oxford Maths Admissions Test Livestream: free, open to everyone, no registration, and recorded, with interview-advice sessions on 5 and 26 November.

WeekFocusResource
9 to 15 NovemberRe-read your personal statement; list two topics you could talk about and check you understand the maths you mention; do one unfamiliar problem a day, aloudQuestions 1 to 4 above
16 to 22 NovemberCurve sketching without a calculator; first practice with a stylus on a whiteboard appQuestions 2 and 5; Oxford's two sample questions and commentary
23 to 29 NovemberWatch Oxford's demonstration maths interview; a mock with a teacher or friend reading a question to youMathematical Institute livestream: "More interview advice", Thursday 26 November, 17:00 to 19:00 UK time; free, no registration, recorded; the 5 November "Interview advice" session is already online
30 November to 6 DecemberDefinition-style questions; practise taking a hint and running with it; set up your space and kit; one timed 25-minute mockQuestions 6 to 10 above; test Teams and Miro
7 to 13 DecemberSome colleges may interview this week; otherwise short daily sessions, not crammingYour invitation and the instructions it contains
14 to 17 DecemberMain interview days; keep 16 and 17 December free for additional interviewsCheck your email regularly; additional-interview notices come by 2pm UK time on Wednesday 16 December
Your maths interview practice tracker works on the full page only.Open it →

Common mistakes in Oxford maths interviews

MistakeWhy it hurtsFix
Long silencesTutors find it harder to follow your reasoning or help youA short pause is fine; then say what you are trying, even if it might be wrong
Jumping to a memorised formulaIt can skip the explanation of why it is trueUse small cases and give a reason, then name the formula as a check
Ignoring a hintA hint is the tutors helping you on; using it shows you can absorb new ideasThink about how the hint changes your approach, say what you will try, or ask if it is unclear
Treating a slip as a disasterIn Oxford's demonstration interview the tutors said the candidate's early mistakes were something they "probably don't care about""Let me check that line", fix it, carry on
Only preparing "Why Oxford?"The interview is largely mathematicalSpend most of your time on problems
Hunting for leaked questionsCandidates agree not to share interview contentPractise unfamiliar problems: they train how you build an approach

After the interview, and applying next year

Shortlisted candidates for 2027 entry hear on 12 January 2027 via UCAS, and colleges follow up directly later that day. For how interviews work in every subject, see our Oxford interview guide for every subject; if you are also weighing physics, our physics interview questions page uses the same thinking-aloud format.

If you are reading this a year early, for 2028 entry, check Oxford's published requirements for your own cycle. For 2027 entry the step before the interview was the TMUA, which replaced the MAT: Oxford uses it with your UCAS application to shortlist, and it has no pass mark. This cycle the test was 12 to 16 October 2026: two papers of 75 minutes, 20 multiple-choice questions each, no calculator. Our TMUA practice tests are in that format, and our guide to what TMUA score Oxford looks for covers how scores are used. Some problems on this page also practise reasoning useful for the TMUA, but they are not in its format; use the official specification and past papers too.

For more questions in the same format, the Oxford Interview Questions: Maths pack works through 25 further original questions aloud, by topic, with a mock-interview script someone at home can run with you and a self-review checklist. The free warm-up just below plays a few questions from it in the same format.

Frequently asked questions

What questions are asked in an Oxford maths interview?

The Mathematical Institute says tutors may ask you about an area of maths you have studied, look closely at a point of technique or curve sketching, ask you to solve a problem and talk through your thinking, or give you a new definition and ask what follows from it. The interviews are largely mathematical. Nobody can predict your questions, so practise the kinds of task rather than specific questions.

How long is an Oxford maths interview?

Each interview lasts about 25 minutes, according to the Mathematical Institute. Most candidates have more than one: generally one or two at their first-choice college and at least one at another college.

When are the Oxford maths interviews in 2026?

Most first and second college interviews for Mathematics, Mathematics and Statistics and the joint courses are on Monday 14 to Thursday 17 December 2026, although some colleges may start in the week commencing Monday 7 December. Additional interviews are notified by 2pm UK time on Wednesday 16 December and held on 16 and 17 December. Oxford says interviews can sometimes fall outside these windows.

What percentage of Oxford maths applicants get an interview?

For Mathematics / Mathematics and Statistics (UCAS G100), Oxford's 3-year average for 2023 to 2025 is 32% interviewed and 9% successful, with an average intake of 183; the joint courses publish their own figures. The department shortlists around three applicants per place.

Are there past Oxford maths interview questions or a PDF of them?

Oxford's sample questions page has two maths examples with tutors' commentary, and its demonstration interview has a transcript. Candidates agree not to share the content of their interviews, so be sceptical of any list sold as real or leaked questions. The questions on this page are our own practice selection, not Oxford questions.

How do I prepare for an Oxford maths interview?

Do lots of mathematics problems, on and near your syllabus, and explain your thinking out loud while you do them. The Mathematical Institute suggests a practice interview with a teacher, or explaining A-level topics to friends and family. Practise curve sketching without a calculator and writing maths with a stylus.

Do I need a tablet and stylus for an Oxford maths interview?

Mathematics is a tier 3 interview, which uses a Miro whiteboard written on with a basic universal stylus on a touchscreen device, alongside Microsoft Teams on a computer. Oxford says no candidate or school is expected to buy a touchscreen device; if you do not have one, ask the college that invited you.

What happens if I get stuck in an Oxford maths interview?

Say what you have tried and what you might try next; you may also say you have not covered a topic yet. Tutors may prompt you, and how you use a prompt shows how you take on new ideas. Oxford says interviewers are not trying to catch you out but to stretch you, and that your final answer is only part of what they find out.

What are Oxford Mathematics and Philosophy interview questions like?

Mathematics and Philosophy follows the same interview timetable as Mathematics. Oxford says applicants for a joint course should expect to be interviewed by tutors representing each subject, and that for some joint courses interviews are arranged separately for each subject, so expect both mathematics and philosophy. Follow your invitation for how yours is arranged.

When do I find out if I got an offer?

Shortlisted candidates for 2027 entry are told the outcome on 12 January 2027 via UCAS, and colleges follow up directly later that day.

What about the Mathematics and Computer Science interview?

Mathematics and Computer Science has the same interview timetable as Mathematics and is also a tier 3 interview with a shared whiteboard. As a joint course, Oxford says to expect tutors representing each subject; your invitation will say how your interviews are arranged.

Will they ask about books on my personal statement?

Tutors may ask about an area of maths you have studied or mentioned. The Mathematical Institute says popular books on famous problems are inspiring but cover difficult maths, adding that even in Oxford only a handful of people properly understand Andrew Wiles's proof of Fermat's Last Theorem. Be ready to explain what interested you and the maths you actually followed.

Can I ask the tutors questions at the end?

You may be given the chance. Oxford says any questions you ask at the end of the interview do not form part of the assessment, so ask only if you want to.

Interview pack25 maths interview questions, each talked through the way a tutorial works
  • 25 original questions: number, proof, sequences, graphs, calculus, geometry, probability, logic
  • For each: what to say first, the approach step by step, and the trap
  • Where a tutor may take the conversation next, for every question
  • What to say when you are stuck, and how to use a hint
  • Writing maths on the shared whiteboard
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription

Oxford Interview kits

Interview pack25 maths interview questions, each talked through the way a tutorial works
  • 25 original questions: number, proof, sequences, graphs, calculus, geometry, probability, logic
  • For each: what to say first, the approach step by step, and the trap
  • Where a tutor may take the conversation next, for every question
  • What to say when you are stuck, and how to use a hint
  • Writing maths on the shared whiteboard
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
Interview pack25 physics interview problems, each talked through the way a tutorial works
  • 25 original problems: mechanics, orbits, waves, light, electricity, heat, nuclear, scaling
  • For each: what to say first, the approach step by step, and the trap
  • Numbers worth knowing for quick estimates
  • Where a tutor may take the conversation next, for every question
  • Checking units and limiting cases, and what to say when stuck
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
Interview pack25 chemistry interview questions, each talked through the way a tutorial works
  • 25 original questions: bonding, shapes, trends, energetics, rates, equilibrium, acids, organic, everyday chemistry
  • For each: what to say first, the approach step by step, and the trap
  • The forces to reason with, and energy versus rate
  • Where a tutor may take the conversation next, for every question
  • What to say when you are stuck, and how to use a hint
  • A 25-minute mock-interview script a parent or friend can run
Free try up to 8 min, Full practice up to 8 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Try 4 questions freeup to 8 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
Interview pack25 PPE questions worked as thinking aloud, plus a mock interview to run at home
  • 9 Philosophy (one worked in full on page 1), 8 Politics and 8 Economics questions
  • Each question: how to think it through aloud and follow-ups to practise; most also give one line of argument (not the only one)
  • Eight thinking moves to practise, and eight traps
  • Economics with worked numbers: a price rise taken to its break-even, comparative advantage, expected value
  • Two data questions on invented charts: turnout and a minimum wage
  • A 30-minute mock interview script with follow-up cards, so a parent or friend can push you without knowing PPE
Free try up to 6 min, Full practice up to 6 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Read page 1 freeup to 6 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
Interview pack25 History questions worked as thinking aloud, with source passages and a mock interview to run at home
  • 25 original questions, one worked in full on page 1
  • Four questions to prepare about your own submitted essay and personal statement
  • Two invented source passages, each with three questions; a reading method and a sample discussion for the first, four comparison checks for the second
  • An invented population table and an object to read like a historian
  • Eight thinking moves for History, and eight traps
  • A 30-minute mock interview script with follow-up cards, so a parent or friend can push you without knowing History
Free try up to 6 min, Full practice up to 6 min$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50Read page 1 freeup to 6 minUnlock the practice testUnlock full accessOne payment · start now$ 12.80₹999$ 12.80€ 11.80£ 9.80CHF 9.90DKK 75SEK 115NOK 119PLN 43CZK 255AED 43SAR 44QAR 43KWD 3.57OMR 4.48BHD 4.38CA$ 15.90A$ 17.90NZ$ 19.90S$ 15.90HK$ 95RM 50View detailsSecure payment · one-time, no subscription
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