Given a circle with radius 1 and 100 points marked along its circumference. Prove that there exists at least one point on the circle such that the sum of the distances from this point to all 100 marked points is at least 100.
Preparing for the Junior Maths Challenge?
Join a free weekly live lesson where I solve real JMC-style problems, explain key methods, and share what to focus on in your weekly practice.
You can join live or watch the replay - everyone is welcome.
📅 Every Tuesday
⏰ 18:30–19:30 (UK time)
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This course guides you through the fundamentals of Python programming using an interactive Python library known as Turtle.

This course encompasses a range of Geometry topics such as coordinate and spatial geometry, introductory trigonometry, angles, parallel lines, congruent and similar triangles, polygons, circles, the Pythagorean Theorem, and more. Emphasis will be placed on reinforcing Algebra skills and enhancing critical thinking through problem-solving in both mathematical and real-world contexts.

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