Making a new post visible on a specific page

I would solve this using the plugin Advanced Custom Fields.

1) create an ACF item with the following config

^{view larger}

2) it will show a metabox when editing a Post, where you can select which Page the post should appear

3) in your page template, adapt this code to your needs

<?php
// START - THE LOOP
$the_ID = $post->ID;

$search_posts = get_posts(array(
    'numberposts' => -1,
    'post_type' => 'post',
    'meta_key' => 'show_this_post_on_page'
));
if($search_posts) {
    foreach($search_posts as $post_found) {
        $key_value = get_post_meta($post_found->ID, 'show_this_post_on_page', true);
        foreach($key_value as $key => $value) {
            if($value==$the_ID) echo 'The post <strong>'.$post_found->post_title.'</strong> should appear in this page';
        }
    }
}
// END - THE LOOP
?>