An Interesting Number Pattern – SASMO 2016 – Year 6

Question We have 100 lamps, numbered 1, 2, …, 100. Initially they are all off. 1) we press…

A Method to count: Assume first that the smallest triangles are of a unit length. Note that every…

Answer 4x+3y(i-1)-12(1-i)=9-2x(1+i)+(1-2y)i Separate the ‘real’ and ‘complex’ part as follows: (4x – 3y -12) + (3y + 12)i…

  I think it’s like this (I could be wrong): Let t = time taken by the “blue”…

                Here’s a possible solution: Note the pattern: (no. on the…