Grades 11-12 Video Solutions 2025-2025_11-12

Video Transcription

Video Summary

The problem involves finding the sum of numbers in a 7x10 table, where any 3x4 or 4x3 rectangle sums to 0. By strategically dividing the table into overlapping regions, each region maintains a sum of zero except for two smaller sections that sum to -45 each. Including the overlaps, the total account for the whole table sums up to -45. The correct answer is thus D, -45. This illustrates an interesting problem-solving approach by partitioning into zero-sum patterns, encouraging further exploration in tiling problems.

Keywords

sum of numbers

7x10 table

zero-sum patterns

tiling problems

problem-solving approach