$assignmentScopes = [
    ['id' => 8, 'scope_type_id' => 1],
    ['id' => 2, 'scope_type_id' => 1]
    ...
];

$questionScopes = [
  ['scope' => 1, 'type' => 1],
  ['scope' => 2, 'type' => 1],
  ...
];

$matches = false;

foreach ($assignmentScopes as $asScope) {
    foreach ($questionScopes as $qScope) {
        if ($asScope->id === $qScope->scope && $asScope->scope_type_id === $qScope->type) {
            $matches = true;
            break 2;
        }
    }
}