jonathan kariv

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**Principlelhole Pigeon**

The pigeonhole principle is the principal that states that if you play eight games of chess, two must be played on the same day of the week. If this isn't obvious think of which days you want to put the first seven games on. You'll be out of possible days t...

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**Chicken Farming**

A chicken farmer can make 6kg, 9kg and 20kg bags of chicken. However he can't make anything else, so for example if you asked him for 7kg of chicken he couldn't do it. On the other hand if you asked him for 15kg he would be able to do that by selling you bo...

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**Frequentist and blogging frequency**

So I haven't used this blog in a while, but I'm back-ish. Which means I'm panning to start blogging again but may or may not actually get around to it this time. In my first ever post I discussed the idea of a hypothesis test. However I didn't get into an...

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**SATMO 2015**

I'ma little late on this one but never the less. On Saturday August 22nd the 4th South African Tertiary Maths Olympiad was held. The final results can be seen here . A large thanks to Stephan Wagner for organizing the contest, and to Margaret Archibal...

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**Math Bee**

I've been asked to set a competition style maths contest for first year students at wits. For some reason or another the organizers decided to call this a (the?) math bee. The goal is 20 multiple choice questions of a level somewhere between the SAMO Senior...

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**Jury Duty**

I've been playing with some problem's from the book "50 Challenginh problems in probability with solutions by Frederick Mosteller (my great grand advisor as it happens). Anyway one of the first problems compares two different juries. The first is a one man...

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**Another lightbulb puzzle**

So last week was the first weekly Joburg Math meetup. Which basically means a bunch of friends meeting up and playing with math olympiad type problems. If anyone is interested these meetups happen on Sundays at noon in Motherland coffee Rosebank Mall, and...

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**The condom problem**

Today I'm going to share a problem which I learned from Prof Vishnu Jejjela . As usual I won't spoil the solution for a few days so that people can mull over it. In the mean time I'll lay out the problem and a few special cases which I think are worth thi...

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**Happy New Year!!!**

Happy new year guys (yes both of you). Anyway it's 2015 and I'm going to try to be a more active blogger this year (yes, yes easy to say at the start of the year when everything else going on is comparatively quite). Anyway what better way to kick of the ye...

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**Problem of the year 5775**

OK so it's 5775 according to the Hebrew calendar. Which means of course that it's Problem of the year time (well ok it's a bit late but so what). 5775 turns out to be kinda tough (or I'm being silly). (5+7)/(7+5)=1 is pretty easy. getting 5-sqrt(7+7-5)=2 to...

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