Start by creating a constructed list. Its parent list should be the list with all eleven locations and it should have this code:
where "LocationsQ" should be replaced with the name of the locations question.
Next, create a grid question. The list of rows should be set to your constructed list. Each row should be set to numeric type. Only one column is necessary.
This grid question will now ask for a numeric response for every location visited. If no locations were visited, the grid question will be skipped.