diff --git a/spacy/pipeline/morphologizer.pyx b/spacy/pipeline/morphologizer.pyx
index 0c7eacd12..df0151ffd 100644
--- a/spacy/pipeline/morphologizer.pyx
+++ b/spacy/pipeline/morphologizer.pyx
@@ -1,7 +1,8 @@
 # cython: infer_types=True, profile=True, binding=True
-from typing import Callable, Dict, List, Optional, Union
+from typing import Callable, Dict, Iterable, List, Optional, Union
 import srsly
 from thinc.api import SequenceCategoricalCrossentropy, Model, Config
+from thinc.types import Floats2d, Ints1d
 from itertools import islice
 
 from ..tokens.doc cimport Doc
@@ -229,7 +230,7 @@ class Morphologizer(Tagger):
         assert len(label_sample) > 0, Errors.E923.format(name=self.name)
         self.model.initialize(X=doc_sample, Y=label_sample)
 
-    def set_annotations(self, docs, activations):
+    def set_annotations(self, docs: Iterable[Doc], activations: Dict[str, Union[Floats2d, Ints1d]]):
         """Modify a batch of documents, using pre-computed scores.
 
         docs (Iterable[Doc]): The documents to modify.
diff --git a/spacy/pipeline/senter.pyx b/spacy/pipeline/senter.pyx
index 1cfd6c4b1..b637ad0ef 100644
--- a/spacy/pipeline/senter.pyx
+++ b/spacy/pipeline/senter.pyx
@@ -1,9 +1,10 @@
 # cython: infer_types=True, profile=True, binding=True
-from typing import Optional, Callable, List, Union
+from typing import Dict, Iterable, Optional, Callable, List, Union
 from itertools import islice
 
 import srsly
 from thinc.api import Model, SequenceCategoricalCrossentropy, Config
+from thinc.types import Floats2d, Ints1d
 
 from ..tokens.doc cimport Doc
 
@@ -121,7 +122,7 @@ class SentenceRecognizer(Tagger):
     def label_data(self):
         return None
 
-    def set_annotations(self, docs, activations):
+    def set_annotations(self, docs: Iterable[Doc], activations: Dict[str, Union[List[Floats2d], List[Ints1d]]]):
         """Modify a batch of documents, using pre-computed scores.
 
         docs (Iterable[Doc]): The documents to modify.
diff --git a/spacy/pipeline/spancat.py b/spacy/pipeline/spancat.py
index ccd49bbac..4484f7577 100644
--- a/spacy/pipeline/spancat.py
+++ b/spacy/pipeline/spancat.py
@@ -298,7 +298,9 @@ class SpanCategorizer(TrainablePipe):
             for index in candidates.dataXd:
                 doc.spans[candidates_key].append(doc[index[0] : index[1]])
 
-    def set_annotations(self, docs: Iterable[Doc], activations) -> None:
+    def set_annotations(
+        self, docs: Iterable[Doc], activations: Dict[str, Union[Floats2d, Ragged]]
+    ) -> None:
         """Modify a batch of Doc objects, using pre-computed scores.
 
         docs (Iterable[Doc]): The documents to modify.
@@ -309,7 +311,9 @@ class SpanCategorizer(TrainablePipe):
         labels = self.labels
 
         indices = activations["indices"]
-        scores = activations["scores"]
+        assert isinstance(indices, Ragged)
+        scores = cast(Floats2d, activations["scores"])
+
         offset = 0
         for i, doc in enumerate(docs):
             indices_i = indices[i].dataXd
diff --git a/spacy/pipeline/tagger.pyx b/spacy/pipeline/tagger.pyx
index 498b3de08..fbaccae40 100644
--- a/spacy/pipeline/tagger.pyx
+++ b/spacy/pipeline/tagger.pyx
@@ -1,9 +1,9 @@
 # cython: infer_types=True, profile=True, binding=True
-from typing import Callable, List, Optional, Union
+from typing import Callable, Dict, Iterable, List, Optional, Union
 import numpy
 import srsly
 from thinc.api import Model, set_dropout_rate, SequenceCategoricalCrossentropy, Config
-from thinc.types import Floats2d
+from thinc.types import Floats2d, Ints1d
 import warnings
 from itertools import islice
 
@@ -167,7 +167,7 @@ class Tagger(TrainablePipe):
             guesses.append(doc_guesses)
         return guesses
 
-    def set_annotations(self, docs, activations):
+    def set_annotations(self, docs: Iterable[Doc], activations: Dict[str, Union[List[Floats2d], List[Ints1d]]]):
         """Modify a batch of documents, using pre-computed scores.
 
         docs (Iterable[Doc]): The documents to modify.
diff --git a/spacy/pipeline/textcat.py b/spacy/pipeline/textcat.py
index 1ca112060..888cd0178 100644
--- a/spacy/pipeline/textcat.py
+++ b/spacy/pipeline/textcat.py
@@ -212,7 +212,7 @@ class TextCategorizer(TrainablePipe):
         scores = self.model.ops.asarray(scores)
         return scores
 
-    def set_annotations(self, docs: Iterable[Doc], scores) -> None:
+    def set_annotations(self, docs: Iterable[Doc], scores: Floats2d) -> None:
         """Modify a batch of Doc objects, using pre-computed scores.
 
         docs (Iterable[Doc]): The documents to modify.