Yuma Tsukumo's Deck is a Deck given to him by his father in the Yu-Gi-Oh! ZEXAL anime. His monsters have repetitive names like "Gagaga" and "Gogogo" and their effects often assist in Xyz Summoning.
In the beginning of the series, Yuma's Deck was very basic containing a random assortment of monsters with no central strategy tying them together. However, as he gathers the "Numbers," Yuma's Deck slowly matures, especially after he receives cards from the Duel Sanctuary.
Yuma's primary strategy is the Summoning of his ace card, "Number 39: Utopia", which has a number of upgraded forms as well. He powers up this monster in a variety of ways, such as with "Double or Nothing!" or evolving it through Chaos Xyz Evolution and later, "Rank-Up-Magic" cards. Yuma occasionally uses other "Numbers", but "Utopia" remains his ace card throughout the series. His Spell Cards tend to focus on augmenting the ATK and effects of his monsters, while his Trap Cards like "Half Unbreak" and "Damage Diet" are usually more defensive in nature. As his opponents use Xyz Monsters themselves, Yuma plays a number of cards to specifically counter this as well, such as "Rainbow Kuriboh" and "Overlay Owl".
When Yuma's opponent is not wielding a "Number" or "Chaos Xyz" card themselves, Yuma often refrains from using his "Numbers". but is willing to Summon "Utopia" if the opponent demands it. In such situations, the "Djinn" Xyz Monsters or "Heroic Champion - Excalibur" are often his go-to choices.
Pre-World Duel Carnival
Yuma originally uses a Number/Syllable Deck. It is supported with a lot of ATK increasing cards such as "Wonder Wand" and Trap Cards which protect his monsters from destruction such as "Bye Bye Damage". It contains some support for his "Gagaga" monsters later on.
This Deck was later replaced by a new version after Yuma received a large amount of new cards from Roku when he defeated Kaze and protected the Duel Sanctuary.
Wooden Training Deck
In order to improve his skills, Yuma Dueled Roku in a Statue Duel. He used a Wooden Training Deck consisting of "Statue" versions of "Dark Magician" monsters and other wooden cards from the latter's Duel Sanctuary card collection.
After saving the Duel Sanctuary, Roku gave Yuma the "Duel Sanctuary Legendary Deck", stating it is appropriate for him. Bronk Stone believes Yuma can improve his Deck with this one for the World Duel Carnival. Yuma combined this secret Deck with his first one. He has also started adding Xyz anti-support cards to help fight against the "Numbers" and other Xyz Monsters. The Deck also appears to support Yuma's Syllable archetypes more such as the "Gagaga" and "Gogogo" archetypes.
World Duel Carnival Preliminaries
For the World Duel Carnival, Yuma further modified his Deck for the competition that he was about to face. This includes a large array of anti-Xyz cards such as "Overlay Owl" and "Muzurhythm the String Djinn" as Xyz Monsters are popular within the tournament as well as to collect the "Number" archetype easily. Like before, he largely relies on his "Syllable" archetypes such as "Gagaga" and "Gogogo", sporting new support and members for them alike such as "Chachaka Archer" and "Zubaba Buster". In addition, Yuma has also added in a large amount of Card Advantage cards and monsters with effects that can be activated from the Graveyard or hand, such as "Tasuke Knight" and "Damage Mage" respectively. He reserves his ace card, "Number 39: Utopia" and its upgraded form "Number C39: Utopia Ray" for intense Duels against other Number holders.
World Duel Carnival Finals
In the finals of the World Duel Carnival, Yuma debuts more non-"Number" Xyz Monsters, "One-Eyed Skill Gainer" and "Gagaga Cowboy". His WDC profile lists his Deck's name as "Xyz One Turn Kill" as he heavily focuses on using Xyz Monsters and normally wipes out of his opponent's remaining Life Points in the final turn. In Duels with particularly dangerous "Number" holders, he relies heavily on augmenting his "Number C39: Utopia Ray" with the abilities of his "ZW -" monsters through the power of ZEXAL.
Yu-Gi-Oh! ZEXAL II
Yuma continues to use a Syllable Deck, debuting new "Gagaga", "Gogogo" and "Dododo" monsters, which he primarily uses to Summon "Number 39: Utopia" in various ways. He supports the cards with Spell and Trap Cards both new and old, including more Counter Trap Cards. He later modifies this Deck before entering the Friendship Games hosted at his school. He also makes more use of the vast quantity of "Number" cards that he has at his disposal, though he still favors "Number 39: Utopia".
After teaming up with Ray Shadows to defeat the Barians, Yuma received a few cards of Barian origin to augment his Deck. This includes "Limited Barian's Force" which has the ability to upgrade his ace monster "Number 39: Utopia" into "Number C39: Utopia Ray V", as well as "V" archetype to the new form of "Utopia" However in reality, Vector, while posing as Ray, gave these cards to Yuma in order to gain an advantage in a Duel against him through cards such as "Vain Betrayer" and "Barian Explosion".
After fusing with Astral to form ZEXAL II, Yuma used Shining Evolution to transform "Limited Barian's Force" into "Numeron Force", which has the ability to upgrade "Number 39: Utopia" into "Number C39: Utopia Ray Victory".
Mythyrian Numbers War
Yuma debuts more support for his Xyz Monsters and procures "Rank-Down-Magic Numeron Fall" which he can use to downgrade "Number 39: Utopia" into "Number 39: Utopia Roots". During his Duel with Mr. Heartland, Yuma gained the ability to create "ZS -" monsters. Unlike "ZW -" monsters, these monsters do not function as Equip Cards
Barian Emperor Onslaught
With the Numbers
Yuma's Deck still focuses on Summoning "Number 39: Utopia", but is flexible enough to support Summoning different "Numbers", such as "Number 54: Lion Heart" and "Number 11: Big Eye". After acquiring the card from Eliphas, he uses "Rank-Up-Magic Astral Force" to Rank-Up "Utopia" into "Number 39: Utopia Beyond".
Without the Numbers
After defeating Nash, Astral obtained all 100 "Numbers." As he and Yuma were Dueling over the fate of Barian World, Astral naturally decided to keep the "Numbers" to himself during their Duel. Thus, Yuma modified his Deck before the Duel. The Deck focuses on "Gagaga" monsters and support. During the Duel, he would later get a new Ace Monster called "Number F0: Utopic Future".
Deck without the "Numbers"
Aim For Number 1 in the World!
In the Aim For Number 1 in the World! non-canon episode, his Deck appears similar to his usual anime Deck, including "Number" monsters. He also Dueled Astral in an explanation Duel at the beginning of the special.
Aim For Number 1 in the World! Deck
Yu-Gi-Oh! D Team ZEXAL
V Jump Magazine
Numbers Guide 2