diff --git a/array_api_tests/hypothesis_helpers.py b/array_api_tests/hypothesis_helpers.py
index 4cbb1ab3..a0adc8c9 100644
--- a/array_api_tests/hypothesis_helpers.py
+++ b/array_api_tests/hypothesis_helpers.py
@@ -165,10 +165,27 @@ def matrix_shapes(draw, stack_shapes=shapes()):
                                            allow_infinity=False))
 
 def mutually_broadcastable_shapes(
-    num_shapes: int, **kw
+    num_shapes: int,
+    *,
+    base_shape: Shape = (),
+    min_dims: int = 0,
+    max_dims: Optional[int] = None,
+    min_side: int = 0,
+    max_side: Optional[int] = None,
 ) -> SearchStrategy[Tuple[Shape, ...]]:
+    if max_dims is None:
+        max_dims = min(max(len(base_shape), min_dims) + 5, 32)
+    if max_side is None:
+        max_side = max(base_shape[-max_dims:] + (min_side,)) + 5
     return (
-        xps.mutually_broadcastable_shapes(num_shapes, **kw)
+        xps.mutually_broadcastable_shapes(
+            num_shapes,
+            base_shape=base_shape,
+            min_dims=min_dims,
+            max_dims=max_dims,
+            min_side=min_side,
+            max_side=max_side,
+        )
         .map(lambda BS: BS.input_shapes)
         .filter(lambda shapes: all(
             prod(i for i in s if i > 0) < MAX_ARRAY_SIZE for s in shapes