User accounts can see admin menus


I have created my multisite, and have created one test user. When logged in as this user, I can see the admin menu links for the site admin and the super admin. When I click on these links I get told ‘You do not have sufficient permission to access this page’. While I am glad my users will not be able to access admin menus, I’d much rather they don’t see those links! How can I get rid of them please?