Problem of the Week (12 June, 2022)
Upon feedback from readers of our website, one of the changes we have decided to make is to feature a…
Problem of the Week (30th May, 2022)
A Christmas tree consists of a green equilateral triangle and a brown square inside a circle of radius 1 as shown. What…
Problem of the Week (23rd May, 2022)
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 (16th May, 2022)
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 (9th May, 2022)
The area of the region bounded by the graph of is , where and are integers. What is ? Source:…
Problem of the Week (2nd May, 2022)
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 (21st Mar, 2022)
A choir director must select a group of singers from among his 6 tenors and 8 basses. The only requirements…
Problem of the Week (14th Mar, 2022)
For natural number , define the function to be the number you get by adding the digits of the number . For…
Problem of the Week (7th Mar, 2022)
Define the function by where , and otherwise. The sum of all real numbers for which can be written as…
Problem of the Week (28th Feb, 2022)
The sequence can be abbreviated as . You are given that is an arithmetic progression with first term and common difference is an…