The Pakistan U-19 batsmen easily chased down a target of 189 runs in the 41st over, with 53 balls still remaining.
A half-century on debut from 17-year-old opener from Sialkot, Mohammad Huraira, was instrumental in the victory, as he top-scored with 64 runs off 76 balls, while his fellow opener Haider Ali scoring 28 runs off 34 deliveries.
Mohammad Haris remained not-out on 29 off 43 balls, taking the side over the finishing line.
Afghanistan's Noor Ahmad was the only bowler who managed to take any wickets, finishing with 2 for 32.
Earlier, Pakistani pacer Mohammad Amir Khan took 3 wickets for 58 while leg-spinner Fahad Munir took 2 for 29 to dismiss the Afghan batting line-up in 49 overs.
Qasim Akram, Abbas Afridi, Tahir Hussain and Aamir Ali took a wicket each.
Afghanistan captain Farhan Zakhil scored 40 runs with the bat, while Abdul Rahman scored 30, helping the side set a 189-run target.
But the Pakistani batsmen were able to easily chase down the target with 53 balls and six wickets to spare.
Huraira was named man-of-the-match for his match-winning knock.
Following the quarter-final victory, Pakistan will now face India in the first Super League semi-final at Potchefstroom on February 4.
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