MathCastle
Grade 6SuperchallengeExpressions

Expressions · Superchallenge problem

The whole numbers 11 to 100100 are written in a chart with 1010 numbers in each row: 11 to 1010 in the first row, 1111 to 2020 in the second, and so on. A T-shaped piece covers exactly five numbers: three side by side in one row, and the two numbers directly below the middle one of those three (one in each of the next two rows). The five covered numbers add up to 325325. What is the largest covered number?