There are two types of inhabitants on the Island of Knights and Liars:

Knights always tell the truth
Liars always lie

You are visiting this island and to survive you need to distinguish between Liars and Knights.
Luckily, you can ask them questions, and the native inhabitants always answer you!

Problems

1. You ask two people you meet on the Island, Tom and Tim, if they are Knights.
Tom says he is a Knight. Can you figure out who Tom is?
Tim says he is a Liar. Can you figure out who Tim is?

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2. While visiting the Knights and Liars Island, you had a conversation with a local Knight. You
asked him the same question twice, and he gave you two different answers. What could be
your question?

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3. Andy and Ben live on the Island of Knights and Liars. Andy says: “We are both liars”. Who is
Andy and who is Ben?

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4. Alice and Bob live on the Island of Knights and Liars. Alice says: “We are the same kind”.
Bob says: “We are different kinds”. Who is Alice and who is Bob?

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5. Three citizens are passing by. You ask these three inhabitants: "How many among you are
knights?"

The first replies: "There is none

‍The second says: here is only one

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What will the third inhabitant say?
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Bonus question:
Here are 10 numbered statements in a notebook.

“Exactly one of these statements is true.”
“Exactly two of these statements are true.”
“Exactly three of these statements are true.”

.......

“Exactly ten of these statements are true.”

How many of them are true?

Where do you hold your classes?

We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
You can find our timetable here.

What do you need to start learning online?

For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.

When can I take the trial lesson?

You can get acquainted with the school at any time convenient for you. To do this, just leave a request and sign up for a lesson.

What should I expect from the trial lesson?

The trial lesson is a 30-minute online session designed to get a sense of how your child approaches mathematical thinking and problem solving. (In practice, it often runs a bit longer if the student is engaged!)

We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.

I can't attend class, what should I do?

It is OK, it happens! Students have the opportunity to cancel a lesson up to 8 hours before the scheduled time without loss of payment. So you can reschedule it for a convenient time, and the teacher will have the opportunity to

I don't have much free time, will I have time to study?

Learning can take place at your own pace. We will select a convenient schedule and at any time we will help you change the schedule, take a break or adjust the program.

How long is one lesson?

All classes last 1 hour.

Meet our team

Our teachers will tell you how to prepare for exams, help you cope with difficult tasks and win the Olympiad
‍
They will tell you about the pitfalls of exams and the most common mistakes, and explain how to avoid them

George Ionitsa

Founder &
Maths and Coding Coach

Hear from some of our amazing students who already achieved incredible results with us!

"Olympiad Maths Lessons helped me a lot to get the Gold medal in Junior Maths Challenge"

St. Paul's Student

"Thanks to the 'Data Science' and 'Coding in Python' lessons I got accepted to my dream university."

Data Science Student
Warwick University

"Great courses, which thoroughly explained topics beyond the capability of the GCSE answer sheet. Thanks so much."

Ivan

GCSE Student in Dubai

"Financial Mathematics! Best course to understand Python and Mathematics behind Finance!"

Gleb

VC Investor

"We got silver in PMC! Thanks George!"

Mum of St. Paul's Student

Prepare for the Primary Maths Challenge

"My daughter took a batch of 10 classes with George to understand Python with Turtle. I found George extremely knowledgeable and accessible."

Dad of Latymer School Student

Python with Turtle