The ministry of defense said that 2 other insurgents were also wounded in these operations.
He also added that at least 10 motorbikes belonging to insurgents were also destroyed in the Wardak operation.
The first operation was launched in Jalriz district of Wardak in which 4 insurgents were killed and 2 others were wounded, the MoD said in a statement.
7 other insurgents were killed in another operation in Arghandab district of Zabul during the Afghan security forces clearing operation, according to the MoD statement.
However, the statement did not provide further details.