## 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,…

## Easter break puzzles

Here are three problems to enjoy over the break! Problem 1 Three friends make the following statements: Ben says, “Exactly…

## 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…

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