diff --git a/test/Utilities/model.jl b/test/Utilities/model.jl
index c8790aaf2a..62d5d57a7e 100644
--- a/test/Utilities/model.jl
+++ b/test/Utilities/model.jl
@@ -584,6 +584,39 @@ function test_variable_coefficient_VectorQuadraticFunction()
     return
 end
 
+function test_constraints_invalid_index()
+    model = MOI.Utilities.Model{Float64}()
+    F, S = FunctionNotSupportedBySolvers, MOI.ZeroOne
+    ci = MOI.ConstraintIndex{F,S}(1)
+    @test_throws(
+        MOI.InvalidIndex(ci),
+        MOI.Utilities.constraints(model.constraints, ci),
+    )
+    return
+end
+
+MOI.Utilities.@struct_of_constraints_by_set_types(
+    Set4802,
+    Union{MOI.LessThan{T},MOI.GreaterThan{T}},
+    MOI.EqualTo{T},
+    MOI.ZeroOne,
+    Int,
+)
+
+function test_struct_of_constraints_by_set_types()
+    set = Set4802{Float64,Vector{Float64},Vector{Float64},Vector{Bool},Int}()
+    @test set.num_variables == 0
+    @test set.int === nothing
+    set.int = 1
+    @test set.moi_zeroone === nothing
+    set.moi_zeroone = Bool[]
+    @test set.moi_equalto === nothing
+    set.moi_equalto = Float64[]
+    @test set.moi_lessthan === nothing
+    set.moi_lessthan = Float64[]
+    return
+end
+
 end  # module
 
 TestModel.runtests()
diff --git a/test/Utilities/parser.jl b/test/Utilities/parser.jl
index 4c46501a4b..303b2ddbcc 100644
--- a/test/Utilities/parser.jl
+++ b/test/Utilities/parser.jl
@@ -441,6 +441,10 @@ function test_parse_unrecognized_expression()
         ErrorException("Unrecognized expression []"),
         MOI.Utilities.loadfromstring!(model, "[]"),
     )
+    @test_throws(
+        ErrorException("Unrecognized expression foo(x)"),
+        MOI.Utilities.loadfromstring!(model, "variables: x\nfoo(x)"),
+    )
     return
 end
 
diff --git a/test/Utilities/print.jl b/test/Utilities/print.jl
index 3ea458ff83..a22f12e67c 100644
--- a/test/Utilities/print.jl
+++ b/test/Utilities/print.jl
@@ -751,6 +751,17 @@ function test_print_model_to_stdout()
     return
 end
 
+function test_print_constraint_name_unsupported()
+    model = MOI.Utilities.MockOptimizer(
+        MOI.Utilities.Model{Float64}();
+        supports_names = false,
+    )
+    x = MOI.add_variable(model)
+    MOI.add_constraint(model, 1.0 * x, MOI.LessThan(1.0))
+    @test occursin("0.0 + 1.0 v[$(x.value)] <= 1.0", sprint(print, model))
+    return
+end
+
 end
 
 TestPrint.runtests()
diff --git a/test/Utilities/product_of_sets.jl b/test/Utilities/product_of_sets.jl
index b42bb2b2df..7a913ecb47 100644
--- a/test/Utilities/product_of_sets.jl
+++ b/test/Utilities/product_of_sets.jl
@@ -50,23 +50,17 @@ end
 
 function test_scalar_basic()
     sets = _ScalarSets{Float64}()
-    ci = MOI.ConstraintIndex{
-        MOI.ScalarAffineFunction{Float64},
-        MOI.EqualTo{Float64},
-    }(
-        12345,
-    )
+    F, S = MOI.ScalarAffineFunction{Float64}, MOI.EqualTo{Float64}
+    ci = MOI.ConstraintIndex{F,S}(12345)
     @test !MOI.is_valid(sets, ci)
     i = MOI.Utilities.set_index(sets, MOI.EqualTo{Float64})
     ci_value = MOI.Utilities.add_set(sets, i)
-    ci = MOI.ConstraintIndex{
-        MOI.ScalarAffineFunction{Float64},
-        MOI.EqualTo{Float64},
-    }(
-        ci_value,
-    )
+    ci = MOI.ConstraintIndex{F,S}(ci_value)
     @test MOI.is_valid(sets, ci)
     @test MOI.Utilities.rows(sets, ci) == ci.value
+    ci = MOI.ConstraintIndex{F,MOI.ZeroOne}(1)
+    @test !MOI.is_valid(sets, ci)
+    return
 end
 
 function test_scalar_dimension()
diff --git a/test/Utilities/universalfallback.jl b/test/Utilities/universalfallback.jl
index fae6c8df3f..ab85b19199 100644
--- a/test/Utilities/universalfallback.jl
+++ b/test/Utilities/universalfallback.jl
@@ -487,6 +487,35 @@ function test_ListOfConstraintsWithAttributeSet()
     return
 end
 
+function test_delete_ci_attribute()
+    model =
+        MOI.Utilities.UniversalFallback(ModelForUniversalFallback{Float64}())
+    x = MOI.add_variable(model)
+    c = MOI.add_constraint(
+        model,
+        MOI.VectorOfVariables([x]),
+        MOI.Nonnegatives(1),
+    )
+    MOI.set(model, MOI.ConstraintPrimalStart(), c, [1.0])
+    @test model.conattr[MOI.ConstraintPrimalStart()][c] == [1.0]
+    MOI.delete(model, x)
+    @test !haskey(model.conattr[MOI.ConstraintPrimalStart()], c)
+    # Vector
+    model =
+        MOI.Utilities.UniversalFallback(ModelForUniversalFallback{Float64}())
+    x = MOI.add_variable(model)
+    c = MOI.add_constraint(
+        model,
+        MOI.VectorOfVariables([x]),
+        MOI.Nonnegatives(1),
+    )
+    MOI.set(model, MOI.ConstraintPrimalStart(), c, [1.0])
+    @test model.conattr[MOI.ConstraintPrimalStart()][c] == [1.0]
+    MOI.delete(model, [x])
+    @test !haskey(model.conattr[MOI.ConstraintPrimalStart()], c)
+    return
+end
+
 end  # module
 
 TestUniversalFallback.runtests()