Puzzle #1:

Reborn Junk Gardna, eff on marshy(to atk)
level eat gardna
summon junk synchron, eff for formula
foolish quillbolt, eff to summon
junk+quill=junk warrior/catastor
formula(2)+catastor(5)+Gardna(5)=12 shooting quasar dragon.
gardna sent to grave changes second marsh to atk.
quasar over them for game.

note, i meant to use spirit reaper so you had to use gardna eff both times, but oh well. Coming up with your own is hard =p

Puzzle #2:

summon lumina, discard dark hole for lumina #2, overlay leviathan.
Foolish Eclipse Wyvern, banishing redmd.
Chaos summon darkflare banishing wyvern and apocralyph(getting redmd to hand)
banish leviathan for redmd, eff for darkflare in grave
overlay 2 darkflares for adreus. eff pop exploder.
chaos summon BLS-EOTB, banishing 1 darkflare and effect veiler/lumina.

BLS into alexandrite, drop honest. 3000+5000+2600+2800=13400

Puzzle #3:

Banish venus for Hyperion
Summon tourguide, for second tour guide, overlay leviair
eff leviair for venus, eff venus for 2 shineballs(overlay daigusto phoenix)
activate daigusto phoenix
Summon BLS banishing shineball and tgu.

1600+1800+2700+3000+3000=12100

Puzzle #4:
Foolish Sirocco
Vayu/Sirocco banish for Armed Wing(banished by BTH)
summon Shura, bounce for Zephyros
drop DaD, pop his field, swing for game. 2800+1600=4400

Puzzle 5: solution is actually quite easy if you dont overthink it. Miracle for Zero, summon bubbleman, attack for game with the 3500 zero. Acid and bubbleman make 2 water monsters to bump zero up to 3500 for exact game.

Puzzle 6:
1. Summon darkflare(banish lyla/gorz)
2. Activate darkflare(discard wyvern, mill dark armed, banish forbidden lance)
3. Activate wyvern, banish REDMD
4. Summon Lightpulsar Dragon(banish DAD and wyvern, adding REDMD to hand)
5. Banish LPD to summon REDMD
6. Summon lightray sorcerer, effect to banish scrap dragon returning LPD or wyvern(doesnt matter)
7. return darkflare to special summon genex birdman
8. normal desrook archfiend
9. XYZ Leviair the sea dragon
10. use leviair to summon Lyla or Eclipse
11. use REDMD to summon darkflare.

2400+2800+1700+1800, or 5200+3500 makes 8700 for game

puzzle 7:

1. banish blue-eyes 1 with Chaos sorc.
2. return chaos sorc for genex-ally birdman.
3. summon chaos sorc w/ effect.
4. banish blue-eyes 2.
5. overlay ptolemy m7
6. use effect, detach chaos sorc to add chaos sorc to hand.
7. summon chaos sorc w/ eff.
8. chaos sorc eff banish blue-eyes 3.
9. tribute birdman for caius, banishing blue-eyes ultimate.
10. overlay force focus attack for game. 2700+2800=5500