In the deadliest attack, a bomber targeted a market in the Amil neighbourhood of southern Baghdad, killing at least six people and wounding 16 or more.
Another bomber detonated explosives near a garage for taxis and buses and a tent providing refreshments to passersby as part of a Shiite religious ritual, killing at least four people and wounding 18.
There was no immediate claim of responsibility for the attacks, but the Islamic State jihadist group frequently targets members of Iraq's Shiite Muslim majority, whom it considers heretics.