diff --git a/src/Utilities/copy.jl b/src/Utilities/copy.jl
index 35d62d1738..824084fdba 100644
--- a/src/Utilities/copy.jl
+++ b/src/Utilities/copy.jl
@@ -88,6 +88,9 @@ Base.haskey(idxmap::IndexMap, vi::MOI.VariableIndex) = haskey(idxmap.varmap, vi)
 
 Base.keys(idxmap::IndexMap) = Iterators.flatten((keys(idxmap.varmap), keys(idxmap.conmap)))
 
+Base.length(idxmap::IndexMap) = length(idxmap.varmap) + length(idxmap.conmap)
+Base.iterate(idxmap::MOIU.IndexMap, args...) = iterate(Base.Iterators.flatten((idxmap.varmap, idxmap.conmap)), args...)
+
 """
     pass_attributes(dest::MOI.ModelLike, src::MOI.ModelLike, copy_names::Bool, idxmap::IndexMap, pass_attr::Function=MOI.set)
 
diff --git a/test/Utilities/copy.jl b/test/Utilities/copy.jl
index 93fb22ece9..ba68b9ca77 100644
--- a/test/Utilities/copy.jl
+++ b/test/Utilities/copy.jl
@@ -6,6 +6,26 @@ const MOIU = MOI.Utilities
 
 include("../dummy.jl")
 
+remove_moi(x::String) = replace(x, "MathOptInterface." => "")
+function compare_without_moi(x::String, y::String)
+    @test remove_moi(x) == remove_moi(y)
+end
+
+@testset "IndexMap" begin
+    map = MOIU.IndexMap()
+    @test length(map) == 0
+    compare_without_moi(sprint(show, map), "Utilities.IndexMap()")
+    x = MOI.VariableIndex(1)
+    y = MOI.VariableIndex(2)
+    cx = MOI.ConstraintIndex{MOI.SingleVariable, MOI.Integer}(1)
+    cy = MOI.ConstraintIndex{MOI.SingleVariable, MOI.Integer}(2)
+    map = MOIU.IndexMap(Dict(x => y), Dict(cx => cy))
+    @test length(map) == 2
+    # `x=>y` in Julia <= 1.1 and `x => y` in Julia >= 1.2
+    x_y = string(Dict(x => y))[6:end-1]
+    compare_without_moi(sprint(show, map), "Utilities.IndexMap($x_y,Pair{ConstraintIndex,ConstraintIndex}($cx, $cy))")
+end
+
 @testset "AUTOMATIC" begin
     src = DummyModel()
     dest = DummyModel()