diff --git a/src/Test/modellike.jl b/src/Test/modellike.jl
index 239259349c..bfe450e4f3 100644
--- a/src/Test/modellike.jl
+++ b/src/Test/modellike.jl
@@ -1,6 +1,7 @@
 # TODO: Move generic model tests from MOIU to here
 
-struct UnknownSet <: MOI.AbstractSet end
+struct UnknownScalarSet <: MOI.AbstractScalarSet end
+struct UnknownVectorSet <: MOI.AbstractVectorSet end
 
 function nametest(model::MOI.ModelLike)
     @testset "Name test" begin
@@ -145,9 +146,9 @@ MOI.get(::BadModel, ::MOI.ConstraintSet, ::MOI.ConstraintIndex{MOI.SingleVariabl
 MOI.get(::BadModel, ::MOI.ListOfConstraintAttributesSet) = MOI.AbstractConstraintAttribute[]
 
 struct BadConstraintModel <: BadModel end
-MOI.get(::BadConstraintModel, ::MOI.ListOfConstraints) = [(MOI.SingleVariable, MOI.EqualTo{Float64}), (MOI.SingleVariable, UnknownSet)]
-MOI.get(::BadModel, ::MOI.ConstraintFunction, ::MOI.ConstraintIndex{MOI.SingleVariable,UnknownSet}) = MOI.SingleVariable(MOI.VariableIndex(1))
-MOI.get(::BadModel, ::MOI.ConstraintSet, ::MOI.ConstraintIndex{MOI.SingleVariable,UnknownSet}) = UnknownSet()
+MOI.get(::BadConstraintModel, ::MOI.ListOfConstraints) = [(MOI.SingleVariable, MOI.EqualTo{Float64}), (MOI.SingleVariable, UnknownScalarSet)]
+MOI.get(::BadModel, ::MOI.ConstraintFunction, ::MOI.ConstraintIndex{MOI.SingleVariable,UnknownScalarSet}) = MOI.SingleVariable(MOI.VariableIndex(1))
+MOI.get(::BadModel, ::MOI.ConstraintSet, ::MOI.ConstraintIndex{MOI.SingleVariable,UnknownScalarSet}) = UnknownScalarSet()
 
 struct UnknownModelAttribute <: MOI.AbstractModelAttribute end
 struct BadModelAttributeModel <: BadModel end
@@ -165,7 +166,7 @@ MOI.get(::BadConstraintAttributeModel, ::UnknownConstraintAttribute, ::MOI.Const
 MOI.get(::BadConstraintAttributeModel, ::MOI.ListOfConstraintAttributesSet) = MOI.AbstractConstraintAttribute[UnknownConstraintAttribute()]
 
 function failcopytestc(dest::MOI.ModelLike)
-    @test !MOI.supports_constraint(dest, MOI.SingleVariable, UnknownSet)
+    @test !MOI.supports_constraint(dest, MOI.SingleVariable, UnknownScalarSet)
     @test_throws MOI.UnsupportedConstraint MOI.copy_to(dest, BadConstraintModel())
 end
 function failcopytestia(dest::MOI.ModelLike)
@@ -253,7 +254,7 @@ function supports_constrainttest(model::MOI.ModelLike, ::Type{GoodT}, ::Type{Bad
     @test MOI.supports_constraint(model, MOI.VectorOfVariables, MOI.Zeros)
     @test !MOI.supports_constraint(model, MOI.VectorOfVariables, MOI.EqualTo{GoodT}) # vector in scalar
     @test !MOI.supports_constraint(model, MOI.SingleVariable, MOI.Zeros) # scalar in vector
-    @test !MOI.supports_constraint(model, MOI.VectorOfVariables, UnknownSet) # set not supported
+    @test !MOI.supports_constraint(model, MOI.VectorOfVariables, UnknownVectorSet) # set not supported
 end
 
 """
diff --git a/test/Test/modellike.jl b/test/Test/modellike.jl
new file mode 100644
index 0000000000..561483a797
--- /dev/null
+++ b/test/Test/modellike.jl
@@ -0,0 +1,7 @@
+@testset "ModelLike" begin
+    model = DummyModelWithAdd()
+    MOIT.failcopytestc(model)
+    MOIT.failcopytestia(model)
+    MOIT.failcopytestva(model)
+    MOIT.failcopytestca(model)
+end
diff --git a/test/dummy.jl b/test/dummy.jl
index 8a980f1366..e9b6081306 100644
--- a/test/dummy.jl
+++ b/test/dummy.jl
@@ -1,9 +1,25 @@
-struct DummyModel <: MOI.ModelLike
+abstract type AbstractDummyModel <: MOI.ModelLike end
+
+function MOI.empty!(::AbstractDummyModel) end
+function MOI.copy_to(dest::AbstractDummyModel, src::MOI.ModelLike; copy_names=true)
+    return MOIU.default_copy_to(dest, src, copy_names)
 end
-MOI.supports(::DummyModel, ::MOI.ObjectiveSense) = true
-MOI.supports(::DummyModel, ::MOI.ConstraintPrimalStart,
+MOI.supports(::AbstractDummyModel, ::MOI.ObjectiveSense) = true
+MOI.supports(::AbstractDummyModel, ::MOI.ConstraintPrimalStart,
              ::Type{<:MOI.ConstraintIndex}) = true
-MOI.supports_constraint(::DummyModel, ::Type{MOI.SingleVariable},
+MOI.supports_constraint(::AbstractDummyModel, ::Type{MOI.SingleVariable},
                        ::Type{MOI.EqualTo{Float64}}) = true
-MOI.supports_constraint(::DummyModel, ::Type{MOI.VectorOfVariables},
+MOI.supports_constraint(::AbstractDummyModel, ::Type{MOI.VectorOfVariables},
                        ::Type{MOI.Zeros}) = true
+
+struct DummyModel <: AbstractDummyModel
+end
+
+# Implements add_variable and add_constraint
+struct DummyModelWithAdd <: AbstractDummyModel
+end
+MOI.add_variable(::DummyModelWithAdd) = MOI.VariableIndex(0)
+function MOI.add_constraint(::DummyModelWithAdd, ::MOI.SingleVariable,
+                            ::MOI.EqualTo{Float64})
+    return MOI.ConstraintIndex{MOI.SingleVariable, MOI.EqualTo{Float64}}(0)
+end