<p>Though accepting multiple points of view, the students were unable to either assess or justify them. </p>
<p>Is the sentence correct? Shouldn't the modifier be "Though having accepted multiple points of view" because the clause afterwards is in past tense.</p>
<p>Another one:</p>
<p>Angela was curious about the unopened letter on the table and wondered for whom it was meant.</p>
<p>I was woken up by a siren which is going off.</p>
<p>Yes, the verb “is” should be “was.” And it would sound less awkward if the sentence read, “I was woken up by a siren that was going off.” There are specific rules for using “that” vs. “which,” but I can’t remember exactly what they are, so you should look them up.</p>
<p>If more people voted, politicians would pay more attention to what young people think.</p>
<p>“Think” is the correct verb because this sentence is a hypothetical statement. “IF this were to happen, then this other thing will happen.” Look up verb tenses for a better explanation; I’m pretty sure that there’s a situation where “thought” would also be appropriate.</p>
<p>Verb tense is also why the Luissa example would be “leaving.” </p>
<p>Sorry, I can’t help you with the other examples you asked about. But I hope my post gives you some starting points to look up.</p>
<p>The first example is incorrect but not because of the tense. For example it is correct to say, “Speaking quickly, I jumped onto the bus.” If I wanted to use “though,” however, I would say “Though I spoke quickly, I jumped onto the bus.”</p>