Short summary: There is not a universal speed limit on UK slip roads. While in general the national speed limit for motorway applies, if there is a speed limit sign stating otherwise you should follow that instead.
According to [Highway Code Rule 124](https://www.gov.uk/guidance/the-highway-code/general-rules-techniques-and-advice-for-all-drivers-and-riders-103-to-158):
Rule 124
You MUST NOT exceed the maximum speed limits for the road and for your vehicle (see the speed limits table).
This means in general, the motorway national speed limit applies on slip roads (given it under motorway restrictions, see @Weather Vane’s answer). However if there is a speed sign installed that indicates otherwise, that would be the actual speed limit.
The actual speed limit on a motorway then could be:
The national speed limit, whether it be:
The speed limit of the motorway you are joining (e.g. this slip road joining M32 in Bristol has a speed limit of 40mph, that on that particular stretch in M32.
Or, in fact:
Somewhere else in Birmingham, a 30mph limit is (was?) imposed temporary on a slip road on the Spaghetti Junction due to works (A38(M) Northbound J6, leading to M6 Eastbound, Image also from Google Maps):
On entering the M11 southbound slip road from a roundabout on the B184, there is immediately a pair of blue signs saying M11. According to the Highway Code they indicate the “start of motorway and point from which motorway regulations apply”. Since you are now on a motorway and there is no other speed restriction, the limit for cars etc from this point is 70mph as shown in your Highway Code reference.
Image from Google street view.
Similarly on leaving the M11 at J10 northbound, the “End of Motorway” sign is at the far end of the slip road, just before the roundabout at the A505.
Image from Google street view.
Also the interconnecting roads between motorways do not have any “End of Motorway” signs.
Credit:stackoverflow.com‘
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