Those are a good selection of subjects that you are certain about, and it seems that your are going for the more academic subjects. So for the other subject, physics would be an interesting course and it scales well, Japanese beginner would also be an interesting course but would require a fair...
Re: Australian Mathematics Competition
The pattern was 6, 6 + 9, 6 + 9 + 12, 6 + 9 + 12 + 15, . . .
So we have to find the 11th term, which is the sum of the first 11 terms of the arithmetic sequence with a = 6, d = 3.
T_{11} = S_{11} = \frac{11}{2}(12 + 10 \cdot 3)
= 11(6 + 15)
=11...
Re: How did u go in the Australian Maths Competition?
$Question: A magician deposits the same numbers of rabbits (at least one) at each of five houses. To get to the first house he crosses a magic river once, and to get to any house from another, he also crosses a magic river once. Each time...
Re: How did people go in the maths comp today?
I thought that question number 15 (intermediate) was a bit hard for a question 15, it was
$What is the last digit of$\,\,6 \times 8^{2009}
I got it only using modular arithmetic, but compared to last year q 15 its pretty hard. There is also the...
Re: How did people go in the maths comp today?
same! That question was annoying! I looked at the clock and i was like, theres no way i am going to be folding paper when i have 9 questions left, so i just folded the paper in my head =)
Re: How did people go in the maths comp today?
Official did you have the rabit question in your exam, i got the minimum number of rabits is 31. Did you get this?
Re: How did u go in the Australian Maths Competition?
Here is my solution to 26 for ya =)
$Question 26: What is the smallest positive integer which, when divided by each of 2,3,4,5,6 and 7, will give in each case a remainder that is one less than its divisor?$
$Let the smallest number be x...
Re: How did people go in the maths comp today?
No ;P
Could you post them possibly? (some of them could be the same so perhaps you could just kinda explain which ones or something)