These challenges have been issued by Maths Week England which will be celebrated in the week Sunday 15th to Saturday 21st November 2026. See https://mathsweekengland.co.uk/ If you are in England do engage with Maths Week England and support it in every way that you can. If you are not in England you can still have a go at these challenges. You can post your answers here in the comments and all the answers will be given at the end of the year.
More Challenges
1. Write 2026 as a sum of consecutive positive integers. How many ways can you do it?
2. A rectangular garden has integer side lengths and an area of 2026 square meters. What is the difference between the least and greatest possible perimeters?
3. What is the sum of 1 + 2 + 3 + 4 + ··· + 2026?
4. Using only common mathematical symbols and operations and the digits 2, 0, 2, and 6, make an expression that is exactly equal to 100. (Bonus: make an expression using the four digits in order.)
5. All possible four-digit numbers that can be made with the digits 2, 0, 2,and 6 are formed and arranged in ascending order. What is the median of those numbers?
6. What fraction is equivalent to 0.2026?
7. Create a 4 × 4 magic square in which the sum of each row, column, and diagonal is 2026. (Bonus points if you can do it with consecutive integers.)
