They said three policemen were killed when their armoured vehicle hit a roadside bomb south of Sinai's coastal city of el-Arish. Six more policemen were injured in that attack.
Later on Saturday, a policeman manning a checkpoint also south of el-Arish was killed by a sniper's bullet, they said. The officials spoke on condition of anonymity because they were not authorised to brief reporters.
Northern Sinai, which borders Israel and the Gaza Strip, has long been home to an insurgency by militants, now led by a local affiliate of the Islamic State group.
Attacks by militants grew deadlier and more frequent after the 2013 ouster of an Islamist president whose one year in office proved divisive.
Mohammed Morsi was ousted by the military, then led by President Abdel-Fattah el-Sissi, following a wave of massive street protests against his one-year rule.
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