Five students, one problem
A weekly Olympiad maths class. Students work the same problems, compare what they found, and get feedback on their reasoning. You can join after the term has started and pay only for the lessons still left.
- Up to 5 students
- Weekly
- 60 minutes
- Online
£39.50 per lesson
How a Small Group Class works
Not five students watching the same explanation. Five students thinking, comparing and contributing.
01 / 04
A lesson in progress
Five students seated around a shared table, with a teacher standing just outside the circle.
Prove √2 is irrational.
assume √2 = p/q
maybe parity?
try contradiction
p/q in lowest terms
even?
p² = 2q²
p² even ⇒ p even
p = 2k ⇒ q² = 2k² ⇒ q even
Contradiction.
Next problem
If n² is even, must n be even?
01 Solve
Five students begin with the same problem. Each develops their own line of thought before anyone presents a solution.
Step 1 of 4: Solve. Five students begin with the same problem. Each develops their own line of thought before anyone presents a solution.
01 Solve
Five students begin with the same problem. Each develops their own line of thought before anyone presents a solution.
02 Explain
Private working becomes shared mathematics. One student presents an approach while another compares it with their own.
03 Be challenged
The teacher finds the important gap and asks a precise question. The hint advances the student's proof without taking it over.
04 Keep progressing
The rough approaches resolve into one clear argument. Then the group moves to the next problem, ready to build on what they found.
01 / 04
A lesson in progress
Five students seated around a shared table, with a teacher standing just outside the circle.
Prove √2 is irrational.
assume √2 = p/q
maybe parity?
try contradiction
p/q in lowest terms
even?
p² = 2q²
p² even ⇒ p even
p = 2k ⇒ q² = 2k² ⇒ q even
Contradiction.
Next problem
If n² is even, must n be even?
Step 1 of 4: Solve. Five students begin with the same problem. Each develops their own line of thought before anyone presents a solution.
Why small groups?
A maximum of around five students means every student participates. Each person solves, presents, and hears how others approached the same problem.
The teacher can challenge individuals with precise questions, not general hints aimed at a large room. That is what turns private working into shared mathematics.
Who Small Group Classes are for
Small Group Classes work well for students who enjoy difficult problems, benefit from discussing solutions, and are comfortable attempting mathematics before being shown a method. They suit students who want consistent weekly progression and who broadly fit an existing level or cohort.
Individual lessons may be a better fit when the student has a highly specific target, scheduling is difficult, the level is unusually specialised, or they need a completely bespoke programme.
What students work on
Groups follow a structured Olympiad mathematics programme: problem solving in the style of UKMT and related competitions, proof, number theory, geometry, combinatorics, algebra, and mathematical reasoning.
The exact cohort and stage determine the level. Browse the timetable for current groups rather than treating this page as a catalogue.
What is included
A structured weekly programme in a small cohort, with discussion and teacher feedback every lesson.
Join during the term and pay only for the lessons remaining.
Find a group that fits
Browse current groups by level, day and time. If you are not sure which cohort is right, we can help match you.
Know roughly what you want?
See running groups with times, teachers, availability and pricing.
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Answer a few questions about stage, goals and availability. We recommend matching cohorts.
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