Find the last digit of the number: a) 2100 b) 54949 c) 20252025
The Guinness Book of Records states that the largest known prime number is 23021337 − 1. Could this be a typo?
A shop received 206 litres of milk in containers of 10 and 17 litres. How many containers of each type were there?
Is the number 4730 + 3950 divisible by 10?
Find the last digit in the product of all odd numbers from 1 to 2025.
How many zeros are at the end of 2025 factorial? (2025! = 1 × 2 × 3 × ... × 2023 × 2024 × 2025)
Prove that among the squares of any five natural numbers, you can always find two whose sum or difference is divisible by 10.
Find the last digit of the number 77^7. (The powers are calculated from the top down: 77^7 = 7^(7^7))
A number made of several sevens was written on the board: 777...77. Vlad erased the last digit of this number, multiplied the remaining part by 3, and added the erased digit back. He repeated this operation several times. Prove that eventually he will get the number 7.
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
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