diff --git a/test/subtype.jl b/test/subtype.jl
index 70f3dd864cdbe..c0f29f4f57355 100644
--- a/test/subtype.jl
+++ b/test/subtype.jl
@@ -1043,11 +1043,7 @@ function test_intersection()
                    Type{Tuple{Int,T}} where T<:Integer)
     @testintersect(Type{<:Tuple{Any,Vararg{Any}}},
                    Type{Tuple{Vararg{Int,N}}} where N,
-                   !Union{})
-
-    @test typeintersect(Type{<:Tuple{Any,Vararg{Any}}}, Type{Tuple{Vararg{Int,N}}} where N) != Type{Tuple{Int,Vararg{Int}}}
-    @test_broken typeintersect(Type{<:Tuple{Any,Vararg{Any}}}, Type{Tuple{Vararg{Int,N}}} where N) == Type{Tuple{Int,Vararg{Int,N}}} where N
-    @test_broken typeintersect(Type{<:Tuple{Any,Vararg{Any}}}, Type{Tuple{Vararg{Int,N}}} where N) != Type{<:Tuple{Int,Vararg{Int}}}
+                   Type{Tuple{Int,Vararg{Int,N}}} where N)
 
     @testintersect(Type{<:Array},
                    Type{AbstractArray{T}} where T,
@@ -2101,13 +2097,19 @@ let A = Tuple{NTuple{N, Int}, NTuple{N, Int}} where N,
     Bs = (Tuple{Tuple{Int, Vararg{Any}}, Tuple{Int, Int, Vararg{Any}}},
           Tuple{Tuple{Int, Vararg{Any,N1}}, Tuple{Int, Int, Vararg{Any,N2}}} where {N1,N2},
           Tuple{Tuple{Int, Vararg{Any,N}} where {N}, Tuple{Int, Int, Vararg{Any,N}} where {N}})
-    Cerr = Tuple{Tuple{Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
+    C = Tuple{Tuple{Int, Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
     for B in Bs
-        C = typeintersect(A, B)
-        @test C == typeintersect(B, A) != Union{}
-        @test C != Cerr
-        # TODO: The ideal result is Tuple{Tuple{Int, Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
-        @test_broken C != Tuple{Tuple{Int, Vararg{Int}}, Tuple{Int, Int, Vararg{Int}}}
+        @testintersect(A, B, C)
+    end
+    A = Tuple{NTuple{N, Int}, Tuple{Int, Vararg{Int, N}}} where N
+    C = Tuple{Tuple{Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
+    for B in Bs
+        @testintersect(A, B, C)
+    end
+    A = Tuple{Tuple{Int, Vararg{Int, N}}, NTuple{N, Int}} where N
+    C = Tuple{Tuple{Int, Int, Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
+    for B in Bs
+        @testintersect(A, B, C)
     end
 end
 
@@ -2120,12 +2122,9 @@ let A = Pair{NTuple{N, Int}, NTuple{N, Int}} where N,
     Bs = (Pair{<:Tuple{Int, Vararg{Int}}, <:Tuple{Int, Int, Vararg{Int}}},
           Pair{Tuple{Int, Vararg{Int,N1}}, Tuple{Int, Int, Vararg{Int,N2}}} where {N1,N2},
           Pair{<:Tuple{Int, Vararg{Int,N}} where {N}, <:Tuple{Int, Int, Vararg{Int,N}} where {N}})
-    Cerr = Pair{Tuple{Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
+    C = Pair{Tuple{Int, Int, Vararg{Int, N}}, Tuple{Int, Int, Vararg{Int, N}}} where {N}
     for B in Bs
-        C = typeintersect(A, B)
-        @test C == typeintersect(B, A) != Union{}
-        @test C != Cerr
-        @test_broken C != B
+        @testintersect(A, B, C)
     end
 end