Every year, Pakistani students compete in national and international maths Olympiads — and every year, most schools discover too late that their best exam performers are not automatically their best Olympiad performers. Olympiad problems do not ask students to apply a memorised method; they ask students to invent a method. A student who scores 95% by practising past papers may freeze on a problem they have never seen, while a curious, stubborn student with 80% may solve it brilliantly. Coaching an Olympiad team therefore means teaching thinking, not syllabus — and any school can do it, with no expensive programme required.
This guide covers the full cycle: finding the right students, building problem sets, running weekly sessions, and preparing for competition day.
Olympiad Maths Is Not Exam Maths
The difference is the point of the exercise. In a board exam, the question signals the method: "Solve the quadratic equation" tells you exactly what to do. In an Olympiad, the question hides the method: a problem about handshakes at a party, a chessboard with missing squares, or a number pattern may require combinatorics, parity, or clever counting — and the student must figure out which. This is why coaching must centre on problem-solving strategies: look for patterns, try small cases, work backwards, draw a diagram, consider extremes, and check for invariants.
Teach these strategies explicitly, one per session, with problems that require exactly that strategy. Students should also learn to live with being stuck: Olympiad training is largely training in productive struggle. A student who spends 40 minutes on one problem and solves it learns more than a student who solves 20 routine problems. Normalise this from day one, or students will quit the first time a problem resists them — which is precisely when the real learning starts.
Fair Team Selection: Finding Hidden Talent
Do not select teams from exam marks alone. Run an open trial: a 60-minute paper of 8-10 interesting, non-routine problems, open to any student in the eligible classes, with no penalty for blank answers. You will be surprised: the quiet student who never tops class tests often shines, because the trial rewards curiosity and persistence rather than speed and syllabus recall. Keep selection transparent — publish the criteria, allow re-trials each term, and keep a development squad of 15-20 students even if only 4-6 compete. The squad model keeps motivation alive and gives you reserves.
Selection must also be fair across backgrounds. Students from academies and tuition-heavy families may have seen Olympiad-style problems before; others have not. A short introductory workshop before the trial levels the field — everyone learns what an Olympiad problem looks like, then everyone tries. Also watch for gender and class bias: actively invite girls and students from less privileged sections, and never let a single teacher's impression override trial performance. Talent is evenly distributed; opportunity is not, and the trial is your chance to fix that.
Building Problem Sets That Stretch
Good problem sets mix difficulty deliberately: roughly 30% accessible (every squad member can attempt), 50% challenging (requires real thought), and 20% hard (may defeat everyone — that is fine). Sources are free and plentiful: past papers of national Olympiads, problems from school maths circles, and classic puzzles adapted to Pakistani contexts (cricket scores, rupee notes, bus routes, prayer-time patterns). Adapt problems to local life — a combinatorics problem about biryani ingredients is more engaging than one about coloured balls, and engagement is half the battle.
Organise sets by theme, not by chapter: a "counting" set, a "number patterns" set, a "geometry puzzles" set. Each set should include one problem with multiple solutions, so sessions can compare methods. Keep a growing school bank of problems with solutions and difficulty ratings, built by coaches and senior students together. After two years, your school will own a bank better suited to its students than any purchased book. For building the habit of healthy competition, mix team rounds with individual rounds in practice, so students learn both collaboration and independence.
Session Structure (90 Minutes)
A Weekly Coaching Routine That Works
One 90-minute session per week, plus one optional problem-of-the-week posted on the classroom board or school WhatsApp group, is enough for most school teams. Consistency beats intensity: a team that meets every week for six months outperforms a team crammed into a month before competition. Coaches should resist the urge to lecture. The coach's job is to select problems, ask guiding questions ("What if the number were smaller?", "Can you draw it?", "What stays the same?"), and protect the struggle. When a student is stuck, a hint that narrows the search is better than a solution that ends it.
Track progress with a simple log: problems attempted, problems solved, strategies used. Review the log monthly with each student, celebrating growth in persistence, not just scores. Students who see their own progress stay; students judged only by competition results leave. Also connect Olympiad work to classroom maths where possible — a student who discovers a pattern in coaching will attack board exam preparation with more confidence, because they have practised real thinking, not just recall.
Competition Day: Temperament and Tactics
On competition day, temperament matters as much as talent. Teach tactics explicitly: read all problems first, start with the one that looks friendliest, skip and return rather than sinking 45 minutes into one problem, and always write partial work — many Olympiads award partial credit for progress, much like board answering techniques reward showing working. Sleep, breakfast, and arriving early are not trivial details; a tired, hungry student underperforms regardless of preparation. Brief parents too: the message should be "we are proud you qualified," not "you must win," because pressure from home is the most common cause of competition-day collapse.
After the competition, debrief win or lose. Review the paper together, celebrate solutions found, and treat unsolved problems as next term's training material. A school that debriefs well keeps its team for years; a school that only celebrates medals loses students after their first defeat. Olympiad coaching, done right, is not about producing one medallist — it is about building a culture where students enjoy hard problems. That culture benefits every maths classroom in the school.
AI Help: Muse AI
Muse AI is Meta's personal AI assistant, available in the Muse app. A coach can ask it to generate Olympiad-style practice problems on a theme like number patterns, or to explain a problem-solving strategy in simple steps for students. Join Muse with invite code LTGSWD — in the Muse app, go to Settings > Redeem token and enter the code.
Disclosure: LTGSWD is the author's Muse invite code.