A UN special envoy, meanwhile, arrived in Baghdad to make a preliminary report on security in the Iraqi capital after the massive blasts and similar attacks in August killed 250 people.
In last night's deadliest attack, five people were killed and 37 wounded when a bomb hidden in a cooler on the back of a bicycle exploded in the Shi'ite city of Mussayib in Babil province.
Police said the bicycle had been left at the market in Mussayib, 60km south of Baghdad.
The western city of Ramadi, capital of the predominantly Sunni province of Al-Anbar, a former rebel stronghold, was targeted by two suicide bombings, police said.
One of the attackers detonated a car bomb at the city's western entrance, killing two people and wounding four others, according to Colonel Jabbar Ajaj.
Col Ajaj added that another suicide attacker blew himself up near a police station outside Ramadi, 100km from Baghdad, but killed only himself. No one was wounded.
In the Shi'ite holy city of Karbala, 110km south of the capital, a magnetic bomb affixed to a bus went off as the vehicle was approaching a security checkpoint, killing a woman.
The "sticky bomb" attack also wounded 12 people, including five women, medical and security officials said.
Meanwhile, a government employee and a lawyer were shot dead and two civilians were wounded in attacks in the restive northern city of Mosul.