Former England star Shelvey added to a first-half strike with a stunning long-range effort three minutes after the break to confirm the Magpies’ total dominance over shell-shocked Rangers.
Shelvey had earlier made the breakthrough with a defl ected effort after just 12 minutes with Ayoze Perez doubling the lead before half-time.
But his brilliant, curling effort, that looped beyond keeper Alex Smithies and into the top corner, struck a mortal blow to Jimmy Floyd Hasselbaink’s QPR.
Ciaran Clark, Aleksandar Mitrovic and Grant Hanley also struck as Benitez’s men secured a fifth straight league win.
Rangers had no answer to the Magpies’ blistering start who could even afford to leave their leading scorer Dwight Gayle on the bench.