Battles
A battle is your Moga against a wild Moga or a trainer's team. You and the enemy take turns; the faster Moga goes first.
Your turn
A straight hit. Strong against Mogas with low defense.
Strong against some zodiac signs and weak against others: from 0.4x to 1.45x the damage. Physical attacks feel 15% of a good matchup and 30% of a bad one. Each Moga's page lists its matchups.
A buff for your side or a debuff on the enemy, for a few turns. See Abilities.
Spend a 
Whistle: a friend's Moga joins in for one hit.
Potions, 
Blue Coffee, 
Fizzy Cola and 
Starseeds. Using an item does not cost your turn.
Leave the battle. It does not always work; a faster Moga gets away more easily.
Uses
Each move can be used a number of times before your Moga needs a rest; its button shows how many are left. Naps at Home, Fizzy Cola and Blue Coffee refill them. A Moga's class decides how many it has.
Hits
Attacks can miss, or land a critical hit for extra damage: 1.75x for a physical hit, 1.5x for a Zodiac attack. Some abilities change both. Every 10 levels a Moga's moves grow stronger and get new names.
Fainting
A Moga with no HP left faints and the next one on your team comes in. When the whole team has fainted the battle is lost. Blue Coffee wakes a fainted Moga.
Winning
Every Moga that fought earns XP, and every win gives 
Stardust for rank-ups (see Ranks). A win can also drop an item or a Moga Card, opens the next locations, and earns stars toward the location's mastery.
Location mastery
Wins at a location earn its stars, one at a time. A location with all three is mastered, and its card says so.
| Star | Wins there | Prize |
|---|---|---|
| 1 | 5 | Starseed x3 and the card of the Moga you beat, if it has one |
| 2 | 10 more | Blue Coffee x2 and the location's Cadet Card, if it has one |
| 3 | 15 more |  Moga Cash x3 (or the location's trophy, below) and its Master Card, if it has one |
The Core 2, the World Dragon's place, takes one win a star: Starseed x20, Starseed x30, Moga Cash x100.
Trophies
Mastering these 9 locations gives a trophy for your ranch instead of the third star's Moga Cash.
| Trophy | Location |
|---|---|
 Adventure Island Trophy | Adventure Island (Pueblonia) |
 Ahabs Abyss Trophy | Ahab's Abyss (Pueblonia) |
 Cortex Shell Trophy | Cortex Shell (Pueblonia) |
 Green Mile Trophy | Green Mile (Pueblonia) |
 Cydonia Castle Trophy | Cydonia Castle (Sunshire) |
 Darkwood Vault Trophy | Darkwood Vault (Sunshire) |
 Windhym Gates Trophy | Gates of Windhym (Sunshire) |
 Megahole Trophy | Mega Hole (Sunshire) |
 Swirly Dock Trophy | Swirly Dock (Sunshire) |