4. Beattie wants to walk from $P$ to $Q$ along the paths shown, always moving in the direction from $P$ to $Q$.

She will add the numbers on the paths she walks along. How many different totals could she obtain?

A 3
B 4
C 5
D 6
E 8
4. B The smallest and largest totals Beattie can obtain are $1+3+5=9$ and $2+4+6=12$ respectively. Totals of 10 and 11 can also be obtained, for example from $2+3+5=10$ and $1+4+6=11$. Therefore, since all Beattie's totals will be integers, she can obtain four different totals.