The classic case is a direct owner-to-owner sale where neither party wants a dealer's commission eating into the price. Here the agreement is the only written record of the deal, so it carries real weight. It fixes the price, the deposit that holds the car while insurance and loan clearance are arranged, and the balance payable on the day the LTA transfer is submitted. Without it, a seller who has taken a deposit and a buyer who has paid it are relying on messages and memory, which is exactly what fails in the State Courts when a transaction sours.
A second common scenario is a sale where the vehicle still sits under a hire-purchase or financing charge. The finance company must release its interest before LTA will approve the transfer, and the agreement should record whether the seller clears the loan from the proceeds or the buyer settles it directly, because the timing of that release decides when ownership can pass. A third situation is the sale between family members or friends, where the parties assume goodwill removes the need for paperwork. It does not: an undocumented transfer between relatives is where disputes over agreed condition and price turn ugliest, precisely because no one wrote anything down. Get it in writing even when you trust the other side.
Two edge cases deserve a flag. Vehicles registered with a Category A or B COE cannot be transferred within the first three months of registration, so a near-new car sale must wait out that window. And where the buyer is a foreigner without Singpass, the transfer cannot be done online at all and both parties must attend the LTA counter in person, which changes the practical timeline the agreement should set.