Answers to Senior Maths Challenge!!!

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Micky
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#41
Report 18 years ago
#41
(Original post by Ralfskini)
Is the BMO round much more difficult?
I think it's not putting it too bluntly to say 'yes', but it depends what sort of mathematician you are. From my experience of the Intermediate BMO (my school didn't think to tell me they were doing the senior maths challenge last year, despite the fact I top 50ed the previous year at Intermediate!) you have to be able to actually prove things well.

It's 3.5 hours long, there are 5 questions, and they normally take a fair bit of thinking.

Personally I enjoy them though, I always like the different way you have to think for maths challenges, and the fact that you don't need to know that much advanced maths (though it can help if you get into a tight spot).
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Juwel
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#42
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#42
25 is D, 3. I lost my copy of the answers and I had to ask my mate over the phone, I heard B. But now I remember the question, it was D.

What were the questions and possible answers for the other disputed ones (i.e. 10 and 15)?
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Micky
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#43
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#43
(Original post by ZJuwelH)
What were the questions and possible answers for the other disputed ones (i.e. 10 and 15)?
10 was the one about the ballonist (it was basically an 'use appropriate approximations' question), I'll cut out the details:

Steve Fossett circumnavigated the world in 13.5 days, assume the balloon travelled along a circle of diameter 12750km, roughly what was the average speed of the balloon in km/h

A 12 B 40 C 75 D 120 E 300

15 was discussed a page or two ago:

The number 2003 is prime, how many square numbers are factors of 2003^2003?

A 0 B 1 C 44 D 1002 E 2003
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Juwel
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#44
Report Thread starter 18 years ago
#44
(Original post by Micky)
10 was the one about the ballonist (it was basically an 'use appropriate approximations' question), I'll cut out the details:

Steve Fossett circumnavigated the world in 13.5 days, assume the balloon travelled along a circle of diameter 12750km, roughly what was the average speed of the balloon in km/h

A 12 B 40 C 75 D 120 E 300

15 was discussed a page or two ago:

The number 2003 is prime, how many square numbers are factors of 2003^2003?

A 0 B 1 C 44 D 1002 E 2003
I remember getting 10 right.

S=D/T=12750(pi)/(13.5x24)=12750(pi)/324 roughly equal to 120. Answer: D

Don't know 15, I left it out and didn't bother to find it out.
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the_one
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#45
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#45
(Original post by ZJuwelH)
I remember getting 10 right.

S=D/T=12750(pi)/(13.5x24)=12750(pi)/324 roughly equal to 120. Answer: D

Don't know 15, I left it out and didn't bother to find it out.
15 is definitely D - 1002.

Fancy giving me some rep and I'll give you some back

(PS: I'm as a guest at the moment because I'm at school )
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Goat
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#46
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#46
I got 61.

Does anyone know what the boundaries were? I got bronze last time.
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Juwel
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#47
Report Thread starter 18 years ago
#47
Isn't it just that the top 5% get Gold? I don't know the supposed percentages for the others, but you might want to look up their website if you can find it.
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xinxinlu
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#48
Report 18 years ago
#48
my teacher has already corrected the paper. i got 117.
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