Problem with page count variable type in $_POST

Question

Alright, so I think my trouble is coming from variable type possibly. I've been trying to get my page number to increment when an answer is picked, but I'm messing something up. My hunch is that it's something simple, but I can't figure it out.

<?php 
    include('inc/quiz.php');
    session_start();
     ?>
<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <title>Math Quiz: Addition</title>
    <link href='https://fonts.googleapis.com/css?family=Playfair+Display:400,400italic,700,700italic' rel='stylesheet' type='text/css'>
    <link rel="stylesheet" href="css/normalize.css">
    <link rel="stylesheet" href="css/styles.css">
</head>
<body>
<?php 
    if (isset($_POST['page'])){
/// yes, I know I should sanitize the input, I was just trying different things to figure this out.
        $q_num = (int)$_POST['page'];
    } else {
    $q_num = 1;
 }
$p_num = 10;

?>
<?php var_dump($q_num);?>
    <div class="container">
        <div id="quiz-box">
            <p class="breadcrumbs">Question #<?= $q_num;?> of <?= $p_num;?></p>
            <p class="quiz">What is <?php 
            ?> </p>
            <form action="index.php" method="POST">
                <input type="hidden" name="page" value="<?php ($q_num+1);?>" />
                <input type="submit" class="btn" name="answer" value="135" />
                <input type="submit" class="btn" name="answer" value="125" />
                <input type="submit" class="btn" name="answer" value="115" />
            </form>
        </div>
    </div>
</body>
</html>

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Problem with page count variable type in $_POST