Vayeishev

1. Three people in Sefer Bereishis whose names, reversed, describe them well.
Noach, Lavan, and Eir. 

2. Two cases in Tanach when lust was replaced with hatred. One involved frustrated desire, and the other satisfied desire.
The wife of  Potiphar and Amnon/Tamar.

Truma

The Keruvim are mentioned several times in the description of the Mishkan. Where else in the Torah do Keruvim appear?
The giveaway is the Keruvim atop the Aron. The other one, the one that almost nobody remembers, is the Keruvim by Gan Eden. The former, like children. The latter, angels of destruction - Rashi- malachei chavala.


Now that you know that the name Kruvim refers once to benevolent and once to malevolent Malachim, give me another example of the Torah using one denomination to refer to two very different kinds of Malachim.
The word Ish. By Yaakov,  ויאבק איש עמו - Sar shel Eisav. By Yosef in next week's parsha, וימצאהו איש - Gavriel HaMalach.


In what two instances are we told that metalwork must be by hammering, not casting or rolling?
Menorah and Kruvim. Also the Chatzoztzros in Behaaloscha.


Some items required “pure gold,” and others just gold. What is the common denominator among those that require pure gold?
They are all in the Heichal.


The mitzva of giving and collecting the donations is in third person. Almost all the keilim are said in the second. Only one is in third person. Which? Why?
The Aron. The Ramban says that every person had to give a discrete object that was actually used in the fabrication of the Aron.


The Shulchan held the Lechem HaPanim, the Show Bread. Was the table sized to conform to the bread or the bread sized to conform to the table? 
Neither. The Mishna in Menachos 46a says that the bread was folded in order that it fit on the table. This indicates that the sizes of the table and that of the bread were independent. Rav Sternbuch says otherwise in his Taam va'Daas.