Australian Maths Competition (1 Viewer)

Mongoose528

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Yeah, I did. Do you know what's the right answer for the toy soldier question?
Didn't get up to it :/, only had time to concentrate on the first 27 questions, I hate the short time limit. What did you get for 26/27?
 

mathpie

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Re: Westpac Maths Comp marathon

What did everyone get for the last 5 (free response) questions in the senior division? I couldn't get any.. lol
 

Mongoose528

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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.
 

Mongoose528

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There was this question from the Intermediate section (the last one).

It was something like: find how many digits are in a googolplex (10^10 to the power of 100).

I'm getting 102, because 10^100 should be 1 followed by 100 zeros right? So if that's the case, shouldn't 10 to the power of 10 to the power of 100 be 102 digits since it's 10 to the power of 1 and 100 zeros? Some people are telling me it's 101 digits.
1 followed by 100 zeros is 101 digits
 

si2136

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Re: Westpac Maths Comp marathon

What did everyone get for the last 5 (free response) questions in the senior division? I couldn't get any.. lol
I'm trying to remember a q from there, can u recall all of them?
 

Mongoose528

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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.
 

jathu123

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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
Refer to the previous posts
Here's a solution to one of them:

View attachment 34157
 

Mongoose528

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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
 
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Ashaaz

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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
 

LookingGood2

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The AMC past papers are available for free download at <Had to remove the original link to post reply> and the new ones usually come out mid-January the following year.

For some reason the 2023 ones are not there yet.

There is a Thailand dude Dr. Chatawut Chanvanichskul who has a site for past AMC papers at <Had to remove the original link to post reply> and the 2023 ones were there last year but the 2023 disappeared for several months.

A few days ago Dr. Chatawut Chanvanichskul put the 2023 back up at <Had to remove the link to post reply>

The solutions can also be purchased at <Had to remove the link to post reply> but again they seem to be very late getting the 2023 up this year - so the answer key I put up would have to suffice for now. (Note: Dr. Chatawut Chanvanichskul doesn't seem to have the 2023 answer key)
Thanks Tywebb.

From your post first saw that Dr. Chatawut Chanvanichskul has made the 2023 AMC papers available, but he has set them to view only. Cannot even download, however he's doing better than AMT for interested people, with his putting up last year's papers.

Saw you put up solutions for the Senior Paper too. Super.
 

lyounamu

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Thank you for your tireless effort, tywebb. I remember the days when I used to do lots of AMCs and got few prizes back then. I think it's time to go back and try few of those Senior ones again for challenge. Good memories
 

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