A couple of problems from the UK Intermediate Mathematical Challenge

Saw this tweet when I got up today:

I’ll hopefully be able to turn the last problem into fun Zometool project, but for today I thought it would be neat to talk through two of the problems with my kids.

I chose the problem about brothers and sisters for my 4th grade son. He did a nice job with it and managed to work his way to the end:

After he finished, we talked about one point that confused him a little bit:

For my 6th grade son I chose the problem about escalators. He had an approach that was a little different from what I was expecting:

When he finished we also reviewed his solution and talked (in a pretty haphazard way, sorry!) about a slightly different approach:

I especially liked the escalator problem because it reminded me of one of my all time favorite math contest problems – Problem 10 from the 1987 AIME:

Screen Shot 2016-02-15 at 11.18.22 AM

 

Problem #10 from the 1987 AIME

So, a couple of nice problems to talk through with kids – I’m excited to try out the geometry problem later, too.

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Comments

One Comment so far. Leave a comment below.
  1. The escalator question relates to two other stories that might interest your kids:
    (1) Terry Tao question about where to tie your shoes in an airport
    (2) Steven Landsburg’s marginal confusion about marginal decisions

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