All season five prestige Multiplayer challenges in Cold War

Along with the release of season five in Call of Duty Cold War there is also the release of the season five prestige challenges. There are twenty challenges that can be unlocked and completed.
Once unlocked they stay available to complete even after the season has finished. After the first challenge every subsequent challenge is unlocked by levelling up 10 levels in game.
So the second challenge is unlocked at level 10, the third at level 20 etc etc all the way up to the last challenge at level 190.
Once you complete all the challenges in the season you unlock the season five Multiplayer or Zombie master reward.
In addition to Multiplayer challenges there is also Zombie challenges that can be completed. A complete breakdown of those can be found here

All season 5 Multiplayer challenges
Making a Killing
Earn 125,000 total cold war score or warzone battle royal cash
- Ranking requirement: N/A
- Rewards: 15,000 XP and calling card
Powder Keg
Kill 2 or more enemies with damage caused by a single explosion 5 times
- Rank requirement: level 10
- Rewards: 2500 XP and calling card
Playing the Objective
Complete a warzone contract or earn a Wipeout medal 15 times (cleared your objective of 2 or more attackers)
- Rank requirements: 20
- Rewards: 8500 XP and calling card
Full-On Assault
Get 3 kills with Assault Rifles without dying 25 times
- Rank requirements: 30
- Rewards: 8500 XP and calling card
One by One
Get 250 Eliminations with semi-auto weapons
- Rank requirement: 40
- Rewards: 15,000 XP and calling card
Data Breach
Using the Spycraft or Spotter perk, get 75 Kills, Assists, Destructions or Interceptions with hacked field upgrades
- Rank requirements: 50
- Rewards: 8500 XP and calling card
Bulwarked
Kill 50 enemies while you are protected by partial cover
- Rank requirements: 60
- Rewards: 8500 XP and calling card
From Downtown
Kill an enemy with a piece of lethal equipment that was thrown or dropped a long distance
- Rank requirements: 70
- Rewards: 2500 XP and calling card
SMG Go brr
Get 500 Eliminations with SMGs
- Rank requirements: 80
- Rewards: 15,000 XP and calling card
Run and Gun
Kill an enemy while you are sprinting or shortly after sprinting 50 times
- Rank requirements: 90
- Rewards: 8500 XP and calling card
Wall Banger
Get a kill with a bullet that has penetrated through a wall or other surface 3 times
- Rank requirements: 100
- Rewards: 2500 XP and calling card
Bottomless clip
Get 300 Eliminations while using a magazine attachment that increases your weapon’s magazine ammo capacity
- Rank requirements: 110
- Rewards: 8500 XP and calling card
Hat Trick
Get 3 headsohot kills in a single game 10 times
- Rank requirements: 120
- Rewards: 8500 XP and calling card
Splash Damage
Get 30 kills or destructions with launchers
- Rank requirement: 130
- Rewards: 8500 XP and calling card
Adrenaline Junkie
Get 5 or more kills without dying while using the stim shot to regain health at least once 10 time(s)
- Rank requirements: 140
- Rewards: 8500 XP and calling card
Top Marksman
Using a sniper rifle, kill an enemy sniper who is sniping at you 5 times
- Rank requirements: 150
- Rewards: 2500 XP and calling card
Slice and Dice
Get 3 melee kills in a single game 10 times
- Rank requirements: 160
- Rewards: 8500 XP and calling card
Follow in their footsteps
Using the Tracker perk, kill a nearby tracked enemy from behind without receiving returning fire 25 times
- Rank requirements: 170
- Rewards: 8500 XP and calling card
Clutch Performer
Win a Gunfight match or your Gulag fight 15 times
- Rank requirements: 180
- Rewards: 8500 XP and calling card
Dead Drop
Kill an enemy shortly after dropping nearby from a higher elevation 10 times
- Rank requirements: 190
- Rewards: 2500 XP and calling card
SEASON FIVE MASTER
Complete all season five challenges
- Rank requirements: N/A
- Rewards: 10,000 XP and calling card

Completing these season challenges can earn a lot of XP which can fast track your levelling up making these well worth trying to complete.
The fact they can be completed even after the season is over makes it very achievable to eventually finish all the season prestige challenges.