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    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (23rd May, 2022) 

    Zach Marinov, 2 days ago 0 1 min read  

    Let be the smallest integer for which has 2016 digits.What is the units digit of ? Source: Senior Maths Challenge, 2016…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (16th May, 2022) 

    Zach Marinov, 1 week ago 0 1 min read  

    Consider triangle  with side lengths , , and . Let  be the midpoint of segment , and let  be the point on the interior of segment  that also…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (9th May, 2022) 

    Zach Marinov, 2 weeks ago 0 1 min read  

    The area of the region bounded by the graph of  is , where and are integers. What is ? Source:…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (2nd May, 2022) 

    Zach Marinov, 3 weeks ago 0 1 min read  

    In a cyclic quadrilateral , the lengths of the sides , ,  and  are in arithmetic progression with common difference . If angle  is  degrees,…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (21st Mar, 2022) 

    Zach Marinov, 2 months ago 0 1 min read  

    A choir director must select a group of singers from among his 6 tenors and 8 basses. The only requirements…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (14th Mar, 2022) 

    Zach Marinov, 2 months ago 0 1 min read  

    For natural number , define the function to be the number you get by adding the digits of the number . For…

    Maths

    Choices, choices, and more choices 

    Zach Marinov, 3 months ago 0 1 min read  
    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (7th Mar, 2022) 

    Zach Marinov, 3 months ago 0 1 min read  

    Define the function by where , and otherwise. The sum of all real numbers for which can be written as…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (28th Feb, 2022) 

    Zach Marinov, 3 months ago 0 1 min read  

    The sequence  can be abbreviated as . You are given that is an arithmetic progression with first term  and common difference   is an…

    Problem of the Week
    Maths, Problem of the Week

    Problem of the Week (21st Feb, 2022) 

    Zach Marinov, 3 months ago 0 1 min read  

    Let , where are complex numbers. Suppose that . What is the number of non-real zeros of ? Source: AMC…

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    About EtonSTEM

    The Eton STEM project has just been started up this academic year. We aim to promote interest in STEM across the school to all boys, encouraging everyone to participate in any STEM-related activities regardless of familiarity with the field. Whether this be through writing articles on topics of interest or taking the initiative and setting up a project with a group of friends, anyone can be a part of the project – you just have to take the first step!

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