Jim Jefferies's side host Terry Butcher's Inverness at Tynecastle, while Kilmarnock host Hibernian in the only matches in the SPL to beat the big freeze.
The weather has once again wreaked havoc in the Clydesdale Bank Premier League with Celtic's clash at Hamilton joining those postponed.
A Saturday morning inspection at New Douglas Park saw the match called off.
The games at Aberdeen and St Johnstone were postponed on Friday.
Rangers' meeting with St Mirren was postponed on Thursday due to significant water damage at Ibrox caused by the recent thaw after severe weather conditions.
Games off in Scotland:
Clydesdale Bank Scottish Premier League
Aberdeen v Motherwell
Hamilton v Celtic
Rangers v St Mirren
St Johnstone v Dundee United
Irn-Bru First Division
Queen of the South v Morton
Raith v Cowdenbeath
Ross County v Dunfermline
Irn-Bru Second Division
Ayr Utd v Forfar Athletic
Brechin City v East Fife
Dumbarton v Peterhead
Stenhousemuir v Livingston
Irn-Bru Third Division
Albion Rovers v Annan Athletic
Berwick v Montrose
Clyde v Arbroath
Stranraer v East Stirling
Games on:
Clydesdale Bank Scottish Premier League
Hearts v Inverness
Ian Black and Eggert Jonsson are expected to be available for Hearts' Clydesdale Bank Premier League meeting with Inverness on Saturday following illness.
The duo missed Tuesday's win at Motherwell - Hearts' sixth straight success - with their places going to Ryan Stevenson and Darren Barr.
Lee Wallace (knee), Andrew Driver (thigh) and David Obua (groin) are working their way back but still require practice matches, while Suso Santana (knee) and Jason Thomson (ankle) remain out.
Inverness midfielder Nick Ross is back in contention after illness saw him left on the bench during last weekend's draw against Rangers.
Kenny Gillet, Chris Innes and Gil Blumenshtein are all pushing for comebacks but are unlikely to face the Hearts.
David Proctor and Kevin McCann both remain on the sidelines with knee injuries.
Kilmarnock v Hibernian
Hibernian have no fresh concerns as they prepare to travel to Kilmarnock for their first Clydesdale Bank Premier League fixture in three weeks.
Hibs were last in action in the 0-0 draw with St Johnstone on November 27, a match Valdas Trakys missed due to a knock and Derek Riordan and Paul Hanlon sat out due to suspension. All three are available for the trip to Rugby Park.
Darryl Duffy (foot), Graham Stack (back) and Merouane Zemmama (knee) are back in training but are unlikely to return to competitive action until early in the new year.
Kilmarnock are likely to have an unchanged squad.
Defender Steven Old has finished his loan spell with Cowdenbeath, but has picked up an injury.
James Dayton and Alan Combe remain on the long-term injury list.
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