Most of the deaths occurred in Shula, in the city’s north-west, where at least one car bomb exploded. One report spoke of three simultaneous blasts.
Several mortar rounds also landed in the northern district of Chikuk.
Violence is down since the height of the insurgency in 2006 and 2007, but attacks are still common in Baghdad.
Shia are still commonly targeted by the Islamic State of Iraq, a radical Sunni Islamist militant umbrella group that includes al-Qaeda in Iraq.
On Saturday, two explosions near a checkpoint in the capital’s Kadhimiya district, where people had gathered to enter a Shia shrine killed 11.
The latest attacks come ahead of the Islamic holiday of Eid al-Adha, the Feast of the Sacrifice, which begins on Friday
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