Saw a fun tweet from Patrick Honner yeterday:

It was the week of the state tests up here, so my kids had already spent quite a bit of time taking multiple choice tests this week. But one more test couldn’t hurt, right!

Here’s the introduction to the test – I love my younger son’s reaction and his enthusiasm!

After the introduction the boys sat down to take the test. Here’s what my younger son thought. It took him approximately 10 min to complete it – it is really fun to hear how he worked through it.

Here’s what my older son thought. He finished very quikcly – maybe in around 2 min. Luckily there was also a 10 question test linked in Patrick’s blog post, so I had him take that test, too:

Definitely a fun start to the weekend and a neat way for kids to get a peek at self referential ideas. Once you open that door, you can find some really amazing (and really strange!) mathematical ideas.

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It’s always a treat seeing you and the boys work through something of mine. Thanks, MIke!

As you all discovered, there are multiple solutions to these simple puzzles. Part of the reason comes from their logical structure, but also some of the questions are open to different interpretations that admit different (but essentially consistent) solutions.

And as you suggested to the boys, writing these tests is quite a challenge! But’s it’s fun: my students really enjoy it, and I bet the boys would too.

I know you are aware, but for anyone else reading, these were inspired by Jim Propp’s infamous “Self Referential Aptitude Test” (available here.)

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Sorry: here’s the link to Jim Propp’s SRAT:

https://www.maa.org/press/periodicals/math-horizons/self-referential-aptitude-test-by-jim-propp