Ok firstly STAT ATTACK -

Dundee Utd and Partick Thistle's first ever meeting was in the Scottish Cup on the 7th February 1925

Thistle won 5-1 at home.

The clubs have subsequently played each other in the WORLD'S OLDEST National Cup Competition TEN times previous to Saturday.

Partick = 6 Wins
Utd = 3 wins
1 Draw

But Partick's last win in the Scottish Cup against Utd was on 17th February 1960 (61 years ago).

Utd have won the corresponding 3 fixtures since then (not conceding a goal in any of the 3 matches).

This season - 

Utd sit 8th in the Scottish Premiership after narrowly missing out on the Top 6 by just one point.

Partick Thistle currently sit 4th in League One. Eight points behind leaders Falkirk,
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My prediction is Partick will score their 1st goal against Utd in the Scottish Cup since 1960.

But Utd will make it 4 straight Scottish Cup wins on the bounce against the Maryhill Jags.

3-1 Utd (Sporle, Shankland x2)