The attacks on Kyiv, Dnipro and Zaporizhzhia came as children across Ukraine returned to school on Monday.
Several regions in Ukraine were hit by Russian strikes over Monday and Tuesday, which killed two in Zaporizhzhia on Tuesday morning and one in Dnipro on Monday night.
In Zaporizhzhia, regional premier Ivan Fedorov said a woman and an 8-year-old boy were killed by an air strike that hit a hotel.
Fedorov also said a 12-year-old girl is in intensive care as a result of the strike having suffered a fractured limb and severe burns.
Explosions in Dnipro late on Monday night killed a 51-year-old and injured six others, one of whom remains in hospital, according to the head of the Dnipropetrovsk Regional Administration, Serhiy Lysak.
Lysak posted on Telegram that three cars were completely burned as a result of the strike, with 12 more damaged, while several private houses and a kindergarten were also affected.
The Ukrainian Air Force reported that the strikes indicated ballistic missile use.
In Kyiv, residents worked to restore damage after a Russian attack on the capital that coincided with Ukrainian children returning to school.
Russia launched 35 missiles and 23 Shahed drones on Kyiv from Sunday to Monday, according to the Ukrainian Air Force.
Debris was found in eight locations throughout the city, with civilian facilities including a school, subway station and a bakery damaged.
Oksana Argunova, an 18-year-old student, said she was still shaking after the attack after air raid sirens forced residents into bomb shelters.
“I woke up, my neighbour was shouting ‘Let’s go down (to the shelter), there are big explosions.’ We all ran,” she said.
Monday was the first day back at school after the summer vacation. In Ukraine, the day involves ceremonies and rituals, with students and often teachers wearing traditional costumes.
In Russia, air defences intercepted 158 Ukrainian drones overnight, including two over Moscow and nine over the surrounding region, according to the Defence Ministry. Euronews could not independently verify these claims.