I would like to prevent the session to increment if the page gets refreshed.
I tried to check if POST was already set, like this if (isset($_POST)){$_SESSION['page']++;}, but it didn't solve the problem, because the form has to be sent more than once. 
I would like $_SESSION['page']++ to increment only when I submit data from the form, not when the page gets refreshed.
EDIT: I posted the whole code as it wasn't clear how it works.
IMPORTANT: Apparently, the POST/REDIRECT/GET method won't work, as I don't need to redirect the user to another page after the data gets sent. Instead I need to reload the same page. Don't take my word for granted.
//Start using session-variables.
session_start();
//Game is started.
if (!isset($_SESSION['page']))
{
    $_SESSION['page']=1;
}
else
{
//Game is on, read answer from previous page.
    $answer=$_POST['answer'];
}
//Figure out what to display.
switch ($_SESSION['page'])
{
    case 1: //First page of the game.
        $picture="pictures/perch.gif";
        $option1="Perch-pike";
        $option2="Pike";
        $option3="Perch";
        $option4="Ruffe";
        break;
    case 2: //Second page of the game.
        $picture="pictures/brownhare.gif";
        $option1="Brown hare";
        $option2="Wolverine";
        $option3="Arctic hare";
        $option4="Badger";
        $_SESSION['answer1']=$answer;
        break;
    case 3: //Third page of the game.
        $picture="pictures/moose.gif";
        $option1="Reindeer";
        $option2="Fallow deer";
        $option3="Roe deer";
        $option4="Moose";
        $_SESSION['answer2']=$answer;
        break;
    case 4: //On last page answers are evaluated.
        $points=0;
        $answer3=$_POST['answer'];
        if ($_SESSION['answer1']==3)
        {
            $points++;
        }
        if ($_SESSION['answer2']==1)
        {
            $points++;
        }
        if ($answer3==4)
        {
            $points++;
        }
        print "
<h2>Your score is $points</h2>";
        print "
<a href='quiz.php'>New game</a>
<br>";
        print "
    <a href='../index.htm'>Back to examples</a>
    <br>";
        session_destroy();
        exit;
}
$_SESSION['page']++;
?>
        <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
        <html>
            <head>
                <title>Huntersman's examination game</title>
            </head>
            <body>
                <form method="post" action="quiz.php">
                    <center>
                        <h2>What is this?</h2>
                        <table border=1>
                            <tr>
                                <td width="300">
                                    <img src="
                                        <?= $picture?>">
                                    </td>
                                    <td>
                                        <table>
                                            <tr>
                                                <td>
                                                    <?= $option1?>
                                                </td>
                                                <td>
                                                    <input type="radio" name="answer" value="1" checked>
                                                    </td>
                                                </tr>
                                                <tr>
                                                    <td>
                                                        <?= $option2?>
                                                    </td>
                                                    <td>
                                                        <input type="radio" name="answer" value="2">
                                                        </td>
                                                    </tr>
                                                    <tr>
                                                        <td>
                                                            <?= $option3?>
                                                        </td>
                                                        <td>
                                                            <input type="radio" name="answer" value="3">
                                                            </td>
                                                        </tr>
                                                        <tr>
                                                            <td>
                                                                <?= $option4?>
                                                            </td>
                                                            <td>
                                                                <input type="radio" name="answer" value="4">
                                                                </td>
                                                            </tr>
                                                            <tr>
                                                                <td>
                                                                </table>
                                                            </td>
                                                        </tr>
                                                    </table>
                                                    <br>
                                                        <input type="submit" value="Answer">
                                                        </center>
                                                    </form>
                                                </body>
                                            </html>  ```
 
    