1. ## Re: Australian Maths Competition

Originally Posted by Mongoose528
How would you solve this algebraically: A nude number is a natural number of whose digits are a factor of the number. Find all 3 digit nude numbers where no digits are repeated.

Can't seem to make in roads :/

I can solve it case by case, but I want to know a quicker way of how to do it.
Bump.

2. ## Re: Westpac Maths Comp marathon

Hi can anyone solve question 27 of the 2013 Senior AMC paper. I have tried many different methods but just cannot get it to work. I've tried finding the ratio of the areas/solving the areas simultaneously and all that. Please someone help as I've been trying to figure it out for a fortnight now. Show Working

3. ## Re: Westpac Maths Comp marathon

Originally Posted by Drdusk
Hi can anyone solve question 27 of the 2013 Senior AMC paper. I have tried many different methods but just cannot get it to work. I've tried finding the ratio of the areas/solving the areas simultaneously and all that. Please someone help as I've been trying to figure it out for a fortnight now. Show Working
Refer to the previous posts
Originally Posted by Mongoose528
Here's a solution to one of them:

Attachment 34157

4. ## Re: Australian Maths Competition

A bit of help on this question please, this is a bit of practice for the AIMO.

11.JPG

This is all the working I've managed to do

working.JPG

5. ## Re: Australian Maths Competition

$Hint: \\ If \triangle ABC is a triangle, and X is a point on the line segment BC with BX:CX=\lambda, then |\triangle ABX|:|\triangle ACX|=\lambda.$

6. ## Re: Australian Maths Competition

How did everyone go for the Australian Maths Competition?

7. ## Re: Australian Maths Competition

Got high 70s with Distinction, close to HD (

8. ## Australian Mathematics Competition

I was just wondering if anyone has past papers and answers for this competition as I would like to make an start to practicing for the test. Year 8

9. ## Re: Australian Maths Competition

Anybody going to AMC?

yes

11. ## Re: Australian Maths Competition

im not really sure how to use the messenger on Bored of Studies but im in senior division; wouldnt mind comparing answers.

12. ## Re: Australian Maths Competition

btw guys if ur under grade 12 i would recommend doing the unsw math comp. 6 questions in 3 hours; i didnt even get a credit sadly; but it is one of the funnest test out there; and i assume very similar to what you would get in uni; however similar topics to AMC; with the addition of some game theory. They actually have past papers unlike AMC too: https://www.maths.unsw.edu.au/highsc...ns-and-winners

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