72 dpi

Noor made it to level 72; here are the quests she did to get from level 70 to 72:

Speak With The Ogre
Learning to Fly
The Multiphase Survey (daily, 9500 XP)
Shrimpin' Ain't Easy (fishing daily, but 0 XP)
Mog'dorg the Wizened
(could not do cooking daily Super Hot Stew, nobody else killing Abyssal Flamekillers, tried on Isle of Q but won't work there)
Infused Mushroom Meatloaf (Dalaran cooking daily, 9500 XP)
Oooh, shinies!
Your Continued Support (rep only, 0 XP)
The Missing Magistrix
Know Your Ley Lines (Isle of Quel'Danas daily, 12650 XP)
Open for Business (Isle of Q daily, 12650 XP)
Report to Nasuun
Spirits of Auchindoun (12650 XP)
The Multiphase Survey (9500 XP)
Bait Bandits (0 XP)
Know Your Ley Lines (12650 XP)
Open for Business (12650 XP)
Shadow Dust
Sewer Stew (Dalaran cooking daily, 9500 XP)
Preparing For The Worst (20300 XP)
Down to the Wire
Preying Upon the Weak
We Call Him Steelfeather
March of the Giants (done by ninjaing runed stone giant corpses from groups of horde)
The Lodestone
Military? What Military?
Pernicious Evidence
Take No Chances
Reference Material
Repurposed Technology (I wrecked each harvester by using Gnomish Remote Control and have it aggro other harvesters)
The Multiphase Survey (9500 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Crocolisks in the City (fishing daily, 0 XP)
(could not do Shattrath cooking daily "Revenge is Tasty")
Mustard dogs! (Dalaran cooking daily, 9500 XP)
Preparing For The Worst (20300 XP)
Spirits of Auchindoun (12650 XP)
Your Continued Support (0 XP)
Your Continued Support (0 XP) (Did these in case I needed to get to Friendly to get Gaining the Advantage daily)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
The Multiphase Survey (9500 XP) (now Friendly, but still can't get Gaining the Advantage; web says it's bugged, can't be a Grandmaster)
Infused Mushroom Meatloaf (9500 XP)
(dropped mining, took up mining (!) to get back to just Master Mining)
Crocolisks in the City (fishing daily, 0 XP)
Harlan Needs A Resupply (somehow I overlooked this lowbie quest; 10 XP!)
Preparing For The Worst (20300 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Spirits of Auchindoun (12650 XP)
Gaining the Advantage (12650 XP) (can do this now as just a Master Miner)
Crocolisks in the City (0 XP)
The Multiphase Survey (9500 XP)
Infused Mushroom Meatloaf (9500 XP)
Preparing For The Worst (20300 XP)
Preparing For The Worst (20300 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Gaining the Advantage (12650 XP)
Soup for the Soul (finally could do a Shattrath cooking daily; 12650 XP)
The Multiphase Survey (9500 XP)
Sewer Stew (9500 XP)
Crocolisks in the City (0 XP)
Spirits of Auchindoun (12650 XP)
Help Those That Cannot Help Themselves
Khu'nok Will Know
Kaw the Mammoth Destroyer (can get his halberd even if someone else kills him)
Infused Mushroom Meatloaf (9500 XP)
Spirits of Auchindoun (12650 XP)
Manalicious (12650 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Shrimpin' Ain't Easy (0 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Preparing For The Worst (20300 XP)
Spirits of Auchindoun (12650 XP)
Gaining the Advantage (12650 XP)
The Multiphase Survey (9500 XP)
Crocolisks in the City (0 XP)
Super Hot Stew (12650 XP) (lucked out and found a corpse)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Infused Mushroom Meatloaf (9500 XP)
Preparing For The Worst (20300 XP)
Sewer Stew (9500 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
The One That Got Away (0 XP)
Preparing For The Worst (20300 XP)
Spirits of Auchindoun (12650 XP)
(bought and turned in enough Shadow Dust to get Friendly with Sha'tari Skyguard, still no new quests from them...)
Super Hot Stew (12650 XP) (again found a corpse)
The Cleansing (fought myself)
In Worg's Clothing
Preparing For The Worst (20300 XP)
Gaining the Advantage (12650 XP)
The Multiphase Survey (9500 XP)
Soup for the Soul (12650 XP)
Felblood Fillet (0 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Mustard dogs! (9500 XP) (71)
Signs of Big, Watery Trouble
Planning For The Future (20300 XP)
Your Presence Is Required At Stars' Rest
Of Traitors and Treason
High Commander Halford Wymbane
Naxxramas and the Fall of Wintergarde
Flight of the Wintergarde Defender
Return to the High Commander
The Demo-Gnome
The Search for Slinkin
The Bleeding Ore
Imprints on the Past
Spirits of Auchindoun (20100 XP)
Leave Nothing to Chance
Understanding the Scourge War Machine
Rifle the Bodies
The Liquid Fire of Elune
Orik Trueheart and the Forgotten Shore
The Murkweed Elixir
The Forgotten Tale
The Truth Shall Set Us Free
Parting Thoughts
What Secrets Men Hide
Frostmourne Cavern
Shoveltusk Soup Again?
Rescue from Town Square (had to hit em with my spanner and run back into town so guards would get em)
Find Durkon!
Mustard dogs! (15100 XP)
Spirits of Auchindoun (20100 XP)
Gaining the Advantage (12650 XP)
The Multiphase Survey (9500 XP)
Shrimpin' Ain't Easy (0 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
Further Conversions (found I can do this one with gnomish remote; 9500 XP)
The Enigmatic Frost Nymphs
Infused Mushroom Meatloaf (15100 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Soup for the Soul (12650 XP)
The One That Got Away (0 XP)
Spirits of Auchindoun (20100 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
Mustard Dogs! (15100 XP)
Felblood Fillet (0 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Manalicious (12650 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
Spirits of Auchindoun (20100 XP)
Infused Mushroom Meatloaf (15100 XP)
Bait Bandits (0 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
Bait Bandits (0 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Spirits of Auchindoun (20100 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
A Friend in the Frontlines (0 XP)
Honored by your Allies (0 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
Sewer Stew (15100 XP)
Secrets of the Scourge
Mystery of the Tome
Understanding the Language of Death
A Righteous Sermon
Into Hostile Territory
Steamtank Surprise
Scattered to the Wind
Sewer Stew (15100 XP)
Bait Bandits (0 XP)
The Multiphase Survey (9500 XP)
Gaining the Advantage (12650 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP)
The Chain Gun and You (nonviolent help from paladin Coopthar)
Plunderbeard Must Be Found!
Spirits of Auchindoun (20100 XP)
Super Hot Stew (12650 XP)
Convention at the Legerdemain (15100 XP)
Bait Bandits (0 XP)
Gaining the Advantage (12650 XP)
The Multiphase Survey (9500 XP)
Open for Business (12650 XP)
Know Your Ley Lines (12650 XP)
Further Conversions (9500 XP)
Preparing For The Worst (20300 XP)
Planning For The Future (20300 XP) (72)