$1.$ A prepared sample of metal reveals a structure with $32$ grains per square inch at $100\backslash$times magnification.

a$.$ What is its ASTM grain$$size number?

b$.$ Would this material be weaker or stronger than the same metal with an ASTM grain$$size number of $5?$ Why?

$2.$ The following metals are deformed at a temperature of $540\backslash$deg C or $1000\backslash$deg F$.$ For each of them, determine if the operation would be classified as cold working, warm working, or hot working. $($NOTE: Convert to absolute temperature before evaluating!$)$

a$.$ Aluminum $($Melting point of $660\backslash$deg C$)$

b$.$ Copper $($Melting point of $1085\backslash$deg C$)$

c$.$ Iron $($Melting point of $1538\backslash$deg C$)$

d$.$ Tungsten $($Melting point of $3422\backslash$deg C$)$