Attacks have been on the rise in Iraq since a deadly security crackdown in April on a Sunni protest camp. More than 3,000 people have been killed in violence during the past few months, raising fears Iraq could see a new round of widespread sectarian bloodshed similar to that which brought the country to the edge of civil war in 2006 and 2007.
In the deadliest of the blasts across Baghdad, police said one bomb struck near a bus station in the northern Shiite neighbourhood of Khazimiyah, killing eight people and wounding 18 there.
In eastern Baghdad, seven people were killed and 15 others were wounded when a car bomb went off near a traffic police office in Baladiyat neighbourhood.
Associated Press television footage from the Baladiyat blast showed smoke rising from charred cars and people mourning one of those killed there.
Also, a car bomb hit a row of shops in the Bab al-Muadham area, killing 4 people and wounding 12. In western Baghdad, a sticky bomb attached to a cart selling gas cylinders, killed three people and wounded 8 others.
Mohammed Sabri, a retired government employee, was on his way to the market in Husseiniyah when he heard a thunderous explosion.
"I got closer and saw burning cars, two charred bodies and several people on the ground," he said. "Security officials keep telling us that their forces are able to protect us, but this has not happened yet."
Medical officials in a nearby hospital confirmed the casualty figures. All officials spoke on condition of anonymity because they were not authorised to talk to journalists.
Iraqi security forces have imposed tight security measures in and around the capital since two brazen jailbreaks in July, but so far these measures have failed to stop the attacks.