Number reasoning
Explore divisibility, remainders and integer constraints through examples and general arguments.
Specialist Mathematics
Competitive Mathematics, Olympiad & AMC
Develop mathematical problem solving through carefully chosen challenges, strategy review and explanations suited to your competition level.
Competition Maths
TrackSpecialist Mathematics
LevelCompetition-specific
FocusStronger topic understanding
Number reasoning
Algebraic structure
Geometry
Counting and logic
Strategy and reflection
What do the course name and level mean?
The title describes the learning focus. Foundation Mathematics builds essential skills and is separate from a GCSE Foundation entry. For school or university courses, the board or institution’s specification code identifies what you study, not your score.
Route Navigator
Explore Specialist Mathematics
Choose the course that matches your school entry or discuss the exact scope of specialist support.
Student Fit
Who should take Competition Maths?
Students preparing for a named maths competition or seeking enrichment beyond their school course.
Students who can share recent work so practice targets the first uncertain step.
Learners who want guided explanations followed by independent attempts.
Syllabus Map
Competition Maths learning plan
A tutoring overview, adapted to your starting point and school or institution requirements. Confirm the specification, entry route and assessment year before selecting exam materials.
Algebraic structure
Look for substitutions, symmetry and useful factorisations before lengthy calculation.
Geometry
Use diagrams, auxiliary constructions and relationships to uncover a route through the problem.
Counting and logic
Separate cases, account for restrictions and check for double counting.
Strategy and reflection
Review when to estimate, work backwards or test a small case; compare the efficiency of different solutions.
A lesson in practice
How we work on Competition Maths
Count rectangles in a small grid, list a systematic method and check that nothing is counted twice. Generalise the method to a larger grid and explain the rule.
The next question changes the numbers or conditions so you can check whether the idea transfers to a new situation.
Assessment
Practice and assessment preparation
1
Confirm the competition name, level, date and rules. AMC and different olympiads require different preparation.
2
Combine untimed reasoning with timed challenges appropriate to the event; review skipped problems as well as incorrect answers.
How Classes Run
Teaching plan
- Start with the course outline, a recent marked task and a question the student finds difficult.
- Teach one priority concept, then ask the student to explain a related example without copying a solution.
- Set a short practice task and record the first incorrect step, its correction and a question to retry.
- Review progress through mixed questions and adjust the pace to demonstrated understanding.
FAQ
Common questions about Competition Maths
Choosing lessons and preparing for your first session.
Who are these lessons for?
Students preparing for a named maths competition or seeking enrichment beyond their school course.
What should I send before the introductory session?
Send your course name, topic list, a recent marked task and your assessment date. For an exam course, include the board, specification code and year of entry.
Is this a fixed syllabus or a personalised plan?
The topic map is a teaching overview. We agree the exact coverage from your school or institution materials and the gaps shown in your work.
How is progress reviewed?
We use a new question to check understanding, review the steps you can explain independently and compare recurring mistakes across practice attempts. The next lesson follows that evidence.
Outcome Focus
What students build in Competition Maths
Stronger topic understanding
Clear reasoning
Independent practice
A focused next-step plan
Next Step
Start with a route check, not guesswork.
Bring the student's current syllabus, recent test, or university target. The introductory session can confirm whether Competition Maths is the right path and where to begin.