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UKMT Intermediate Mathematical Olympiad 2016

So today was the day of the all the IMOs. How did everyone think they went?

I found question 6 of the Maclaurin particularly challenging (and annoyingly proved it 15 minutes after the end of the challenge).
(edited 8 years ago)

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I did questions 1-4 of the Maclaurin in the first hour and then got nothing done in the second which was kind of annoying... I was hoping to do more
Reply 2
Avatar for letmethink
letmethink
OP
6
That's unlucky. I saw 1,2,3 and 5 really quickly, but struggled to see 4 for a while.
Yeah... last ever intermediate olympiad, sad times. I've always been just short of a distinction but the boundaries are lower for Maclaurin so fingers crossed for this year. I found 3 and 4 the easiest, my answer for 2 was quite long and wordy. Any hints for how to do 6? Also, did you do BMO1/2 this year?
Reply 4
Avatar for letmethink
letmethink
OP
6
Original post by Aldrstream
Yeah... last ever intermediate olympiad, sad times. I've always been just short of a distinction but the boundaries are lower for Maclaurin so fingers crossed for this year. I found 3 and 4 the easiest, my answer for 2 was quite long and wordy. Any hints for how to do 6? Also, did you do BMO1/2 this year?


I just missed out on BMO1 by 2 marks, and my teacher wouldn't enter me which was irritating.

For questions 6, as a hint, my proof involves the angle between the line joining the squares and the edge of one of the squares.
Reply 5
Avatar for SnakeyEm
SnakeyEm
1
Did anyone else do the Hamilton? I found it very simple. I really don't like the year group seperation, it's so annoying that I couldn't get into the Maclaurin despite getting 123.
I got 1-4 and 5 I think


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Did everyone do the perpendicular on 3 with coordinate geometry I want to see a different solution


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For y you had to extend the line and make a parallelogram


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6


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Reply 10
Avatar for letmethink
letmethink
OP
6
I see your solution for 6 now, but I original would've solved it differently (completely algebraically). I presume it is something like this.
q6geometry.png
I originally thought of solving it like this:

Attachment not found
q6geometry2.png4.9KB
Reply 11
Avatar for ben167
ben167
4
I did the Hamilton. For 1 i got 840 (by multiplying out the single digit primes N is a factor of 210). For 2 I just used pythagoras' theorem on the quarter circle and continued from there. For 3 I got 41 (although I think this is wrong). For 4 I got 2 root 3 and for 5 i got 4 possibilities (the integers must be consecutive). What about you?
I answered 1-5 fully
Original post by 123Master321
How did people do 5 on maclaurin my solution worked but was messy


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Are you allowed to share questions yet? Or do you have to wait until tomorrow, cos I'd actually quite like to have a short look at them.
Original post by Renzhi10122
Are you allowed to share questions yet? Or do you have to wait until tomorrow, cos I'd actually quite like to have a short look at them.


I can pm them if you want
(edited 8 years ago)
How many marks is normal for the maths summer camp?
Original post by TauBilly
How many marks is normal for the maths summer camp?


I know of people who got 36 in Maclaurin and were invited
Original post by 123Master321
I can pm them if you want


Yes please :smile:
Original post by 123Master321
I know of people who got 36 in Maclaurin and were invited


I'm assuming that's low though right?

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Thank you!

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