Custom taxonomy – checking if name includes a declared value

This worked for me:

<?php
$terms = get_terms('project-type');
foreach ($terms as  $term) { 

if(strpos($term->slug, 'sector1-') !== false){
?>
<li data-filter=".<?php  echo $term->slug; ?>"><?php echo $term->name; ?>
<?php
}
?>

</li>
<?php  } ?>