since the data is all the same for each dropdown, you should not poll the db each time, just poll it once and reuse the same result set for each one.
<?
$result = mysql_query ("SELECT * FROM skills);
for ($x=1; $x <= 6; $x++) {
echo '
<select name="skill"' . $x . '">
<option>Select skill number ' . $x . '>
';
while ($row = mysql_fetch_array ($result)) {
extract ($row);
echo '
<option>' . $skill;
}
echo '</select>';
}
?>