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Mathematics4 min read

How to prepare for the Olympiads?


Published on

31 December 2023

Contributors

G
George Ionitsa

Quant Developer and Olympiad Coach

How to prepare for the Olympiads?

A student can look excellent in school maths and still freeze on the first serious Olympiad problem. The issue is usually not missing content. It is the wrong kind of preparation.

A student can look excellent in school maths and still freeze on the first serious Olympiad problem.

Parents often assume that means the student needs more content.

Usually it means something else. The student has been trained for recognition, not for uncertainty.

That is the real preparation question.

Why school success is not enough

Many competitions allow students to enter without specialist preparation. That is fine. Entry is not the same as readiness.

A strong school student can still struggle badly with:

  • unfamiliar phrasing
  • non-routine structure
  • proof-heavy questions
  • time pressure when no obvious method appears

Olympiad preparation is not just more maths. It is a different training environment.

Start with real papers, not a pile of theory

If a student wants to prepare for competitions such as the Intermediate Mathematical Challenge, the Senior Mathematical Challenge, or the British Mathematical Olympiad Round 1, I want them meeting real problems early.

Not after six weeks of notes. Early.

Past papers do three useful things at once:

  • they calibrate level honestly
  • they expose the competition's habits and wording
  • they force students to think instead of just recognising a topic

For students who need a steady place to work through that material, past papers and interactive problems are often more useful than random worksheet packs.

The mistake I see every week

A student tells me they are preparing seriously. What they are actually doing is reading summaries, watching solutions, and occasionally getting a familiar algebra question right.

Then the route disappears.

Everything falls apart.

That happens because watching mathematics is not the same as doing it.

The better pattern is slower and less comfortable:

  1. Attempt the problem properly before seeing help.
  2. Record the false starts, not just the final answer.
  3. Compare your thinking with a clean solution.
  4. Return to the problem later without support.

That is how technique becomes judgement.

Use the pathway, not just one target

Students often become fixated on one competition. I think that is a mistake.

If you are aiming for the British Mathematical Olympiad Round 1, it still helps to spend time with neighbouring formats. If you are preparing for the Intermediate Mathematical Challenge, it helps to understand where the next filters are, such as the Cayley Mathematical Olympiad and the Hamilton Mathematical Olympiad.

Good preparation builds range. It does not narrow the student too early.

olympiads.co.uk is useful for this because it shows the wider route instead of isolating one paper.

A field note from teaching

One student came to us after doing well in routine school assessments. On paper, he looked ready for competitions. In practice, he treated every harder problem as if the first plausible idea must be the right one.

We changed two things.

We made him spend longer on fewer questions, and we made him write complete solutions rather than half-finished lines in the margin.

The improvement was gradual, but obvious. He stopped panicking when a route was not clear and started noticing structure much earlier. That is the kind of improvement that carries from one competition to the next.

What good preparation actually looks like

Self-study matters. I would never dismiss it. But serious progress usually needs feedback.

Not encouragement. Feedback.

The right preparation helps a student:

  • diagnose why a solution failed
  • compare multiple approaches
  • understand what level of rigour is expected
  • build a sensible sequence of topics over time

That is very different from generic tutoring aimed only at school grades.

What to do next

Start with one target competition and one adjacent level above or below it. Use real papers. Write full solutions. Review mistakes properly. Build a steady deliberate problem-solving habit on problems.cc, and use olympiads.co.uk plus the individual competition pages to understand the pathway properly.

If the work starts feeling uncomfortable, that is usually not a bad sign. Very often it is the first sign that real preparation has begun.