$1\mathrm{.}2.$ Provide calculations and results.

$(5$ marks$)$

$\backslash$table$[[$Total mass of sample..........$($g$)],[\backslash$table$[[$Sieve Size$],[($mm$)]],\backslash$table$[[$Individual$],[$Mass$],[$Retained$],[($g$)]],\backslash$table$[[$Individual$],[$Percentage$],[$Retained$],[(\%)]],\backslash$table$[[$Cumulative$],[$Percentage$],[$Retained$],[(\%)]],\backslash$table$[[$Percentage$],[$Material$],[$Passed$],[$Rounded$],[$off $(\%)]]],[10,0,0,0,100],[7\mathrm{.}10,0,0,0,100],[5\mathrm{.}00,34\mathrm{.}3,3\mathrm{.}644,3\mathrm{.}644,96\mathrm{.}356],[2\mathrm{.}00,235\mathrm{.}4,25\mathrm{.}011,28\mathrm{.}655,71\mathrm{.}345],[1\mathrm{.}00,176\mathrm{.}9,18\mathrm{.}795,47\mathrm{.}450,52\mathrm{.}550],[0\mathrm{.}60,109\mathrm{.}3,11\mathrm{.}613,59\mathrm{.}063,40\mathrm{.}937],[0\mathrm{.}30,126\mathrm{.}2,13\mathrm{.}408,72\mathrm{.}471,27\mathrm{.}529],[0\mathrm{.}15,92\mathrm{.}3,9\mathrm{.}807,82\mathrm{.}278,17\mathrm{.}722],[0\mathrm{.}075,55\mathrm{.}2,5\mathrm{.}865,88\mathrm{.}143,11\mathrm{.}857]]$

Fineness Modulus $=\frac{\text{S}\text{u}\text{m}of\text{C}\text{u}\text{m}\text{u}\text{l}\text{a}\text{t}\text{i}\text{v}\text{e}\%\text{r}\text{e}\text{t}\text{a}\text{i}\text{n}\text{e}\text{d}5\mathrm{.}0mmto0\mathrm{.}15mm\text{S}\text{i}\text{e}\text{v}\text{e}}{100}$

$=\frac{3\mathrm{.}644+28\mathrm{.}655+47\mathrm{.}450+59\mathrm{.}063+72\mathrm{.}471+82\mathrm{.}278}{100}$

$=(\frac{293\mathrm{.}561}{100})$

$=2\mathrm{.}936$

$1\mathrm{.}3.$ Discuss the results and conclude by comparing them to the standard specifications.

$(3$ marks$)$What is the purpose of conducting a softening point test on bituminous material for its application in asphalt?