MathDB

2

Part of 2022 MMATHS

Problems(2)

2022 MMATHS Team Online p2 - 0's and 2's in 3x3 grid

Source:

10/1/2023
How many ways are there to fill in a three by three grid of cells with 00’s and 22’s, one number in each cell, such that each two by two contiguous subgrid contains exactly three 22’s and one 00?
combinatoricsMMATHS
2022 MMATHS Individual p2 - hexagon area , reflections of vertices wrt vertices

Source:

10/1/2023
Triangle ABCABC has AB=3AB = 3, BC=4BC = 4, and CA=5CA = 5. Points DD, EE, FF, GG, HH, and II are the reflections of AA over BB, BB over AA, BB over CC, CC over BB, CC over AA, and AA over CC, respectively. Find the area of hexagon EFIDGHEFIDGH.
geometryreflectionareaMMATHS