A square piece of paper is folded in half along a line of symetry. The resulting shape is then folded in half along line of symetry of the new shape. This process is repeted until n folds have been made, given a sequence of n+1 shapes. If we do not distinguish between congruent shapes, find the number of possible sequences when (a) n=3
(b) n=6
(c) n=9

2men and 7 boys can do a piece of working 4 days.it is done by 4 men and 4 boys in 3 days how long would it take for 1man or one boy to do it alone

What is the value of  y  in the solution to the system of equations? x  +  y  =  12x  –  3y  =  –30a. –8b. –3c. 3d. 8

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.