Malcolm sounds like fun!
The first thing you probably want to do is create a counter widget and link that to your total score. Now you won't be incrementing it in the traditional way by clicking up or down but rather by adding your text object values to it at specific frames of their animations. The other advantage of using the widget is it will be very easy to reset and could potentially be linked to other text objects in your project as needed.
In each of your scenes containing the spinning cube with text you will want to add a script event to the scene director.
The script will look like this(anything in quotes should be replaced by your object name)
Dim counter as xpCounterWidget
Dim text as xpTextObject
Engine.GetWidgetByName("mycounter", counter)
Scene.GetObjectByName("mytext", text)
counter.value = counter.value + cint(text)
Andrew
#XPression