$1.$ A differential leveling loop began and closed on BM Tree $($elevation $323\mathrm{.}48$ ft$).$ the plus sight and minus sight distances were kept approximately equal. Reading $($in feet$)$ listed in order taken are $3\mathrm{.}18(+$S$)$ on BM Tree, $4\mathrm{.}76(-$S$)$ and $2\mathrm{.}44(+$S$)$ on TP$1,3\mathrm{.}05(-$S$)$ and $6\mathrm{.}63(+$S$)$ on BM X$,3\mathrm{.}64(-$ S$)$ and $2\mathrm{.}35(+$S$)$ on TP$2,$ and $3\mathrm{.}07(-$S$)$ on BM Tree. Prepare, check and adjust the notes $(2$ decimal places$).$

$2.$ Prepare a set of three$-$wire leveling notes for the data given and make the page check. The elevation of BM X is $1482\mathrm{.}909$ ft and rod readings in $($in feet$)$ are: $+$S on BM X: U $=6\mathrm{.}573,$ M $=6\mathrm{.}321,$ L $=6\mathrm{.}070$; $-$S on TP$1$: U $=5\mathrm{.}949,$ M $=5\mathrm{.}653,$ L $=5\mathrm{.}356$; $+$S on TP$1$: U $=5\mathrm{.}470,$ M $=5\mathrm{.}195,$ L $=4\mathrm{.}921$; $-$S on BM Y: U $=5\mathrm{.}674,$ M $=5\mathrm{.}453,$ L $=5\mathrm{.}231(3$ decimal places$).$

$3.$ Prepare a set of profile leveling notes for the data listed and show the page check. All data given in feet. The elevation of BM A is $659\mathrm{.}08,$ and the elevation of BM B is $648\mathrm{.}47.$ Rod readings are: $+$S on BM A$,5\mathrm{.}68$; intermediate foresight $($IFS$)$ on $11+00,4\mathrm{.}3$; $-$S on TP$1,7\mathrm{.}56$; $+$S on TP$1,8\mathrm{.}02$; IFS on $12+00,6\mathrm{.}6$; on $12+50,5\mathrm{.}3$; on $13+00,5\mathrm{.}8$; on $14+00,6\mathrm{.}3$; $-$S on TP$2,10\mathrm{.}15$; $+$S on TP$2,5\mathrm{.}28$; IFS on $14+73,4\mathrm{.}1$; on $15+00,4\mathrm{.}9,$ on $16+00,6\mathrm{.}3$; $-$S on TP$3,7\mathrm{.}77$; $+$S on TP$3,3\mathrm{.}16$; $-$S on BM B$,7\mathrm{.}23(2$ decimal places$).$

$4.$ What is the percent grade from station $11+00$ to station $16+00$ for the previous problem $(1$ decimal place$)?$