Maybe the child has simply played a doubling game before, along these lines, and memorized it:<p>What&#x27;s 1 and 1? 2.<p>What&#x27;s 2 and 2? 4.<p>What&#x27;s 4 and 4? 8.<p>What s 8 and 8? 16.<p>What&#x27;s 16 and 16? 32.<p>That&#x27;s just five facts.<p>The game could occur socially between kids. It is natural to ask a question, then take the answer and &quot;up the ante&quot; by re-formulating the answer into a harder question, back into the other child&#x27;s face!<p>Do you know 1 plus 1? Ha, two plus two? Oh yeah, how about four plus four, then?<p>The progression grows quickly, of course, and soon the interrogated subject breaks.<p>I get beaten at 65536.<p>Ah, if only &quot;one twenty eight kay&quot; were an accepted answer ... :)