Australian Intermediate Maths Olympiad

Stepping stone to the IMO

What you'll learn
Mathematics
Number theory (Arithmetic and modular arithmetic)
Geometry (Triangles and circles)
Proofs (Direct, induction, contraposition, contradiction)
Algebra
Problem solving with application to all previous AIMO problems
AIMO 2013-2019 papers
Requirements
Concentrate for 2 hours
Determined to succeed
Description
First longer time limit competition for students in Australia to display their maths skills over 4 hours. We use this as a concrete way to teach students long term maths skills rather than just focus completely on the test. It will be a great way to improve one's concentration length, logical reasoning and overall problem solving skills. Come join us unravel the beauty of mathematics.

Overview

Section 1: Introduction

Lecture 1 Introduction 2020

Lecture 2 Planning

Lecture 3 2019 Notes

Lecture 4 2018 notes

Section 2: 2020 Geometry

Lecture 5 Overview of topics

Lecture 6 Circumcircles

Lecture 7 Cyclic quads

Lecture 8 Bowtie Theorem

Lecture 9 Incircles

Lecture 10 Relationship between Circumcircles and Incircles

Section 3: Proofs

Lecture 11 Intro to proofs

Section 4: Modular arithmetic (Number theory I)

Lecture 12 2020 Summary of bases&mods

Lecture 13 Bases other than 10

Lecture 14 Division algorithm and modular arithmetic

Lecture 15 Divisibility rules 2 to 11 not 7

Lecture 16 Divisibility rule for 7

Lecture 17 Exercises

Lecture 18 AIMO 2002 question 1

Lecture 19 AIMO 1999 question 8

Lecture 20 AIMO 1999 question 10

Section 5: Algebra

Lecture 21 Notes

Lecture 22 Addition Exercise 3

Lecture 23 Algebra basics

Section 6: Triangles and circles (Geometry)

Lecture 24 Congruent triangles

Lecture 25 Circumcircles

Lecture 26 Incircles

Lecture 27 Cyclic quadrilaterals

Lecture 28 Two angles standing on the same arc are equal

Lecture 29 Exercises

Lecture 30 Example error

Lecture 31 AIME Problem 13 diagram

Section 7: Extension of triangles: Trigonometry

Lecture 32 Role of trigonometry

Lecture 33 2002 Q10 with trig

Section 8: Fundamental theorem of arithmetic

Lecture 34 ax+by=gcd(a,b)

Lecture 35 p|ab implies p|a or p|b

Lecture 36 Unique product of primes

Lecture 37 Fundamental Theorem of Arithmetic

Section 9: Number Theory test

Lecture 38 Test paper

Section 10: Algebra Test

Lecture 39 Test paper

Lecture 40 Algebra review

Lecture 41 Q2 (2000 AIMO Q2)

Lecture 42 Q3 (2003 AIMO Q3)

Lecture 43 Q4 (1999 AIMO Q4)

Lecture 44 Q7 continued

Section 11: Geometry Test

Lecture 45 Geometry test 1 questions

Lecture 46 Q4

Lecture 47 Test question 9 (AIMO1999Q9)

Lecture 48 AIMO 2011 Q8, 9, 10

Lecture 49 Monday Senior Contest questions

Section 12: August meetings

Lecture 50 2012 AIMO Q5, 2008 AIMO Q4

Lecture 51 Night before senior contest

Lecture 52 2012 AIMO Q7,8, 2006 Q9, 2000 Q9,10, 2001 Q6

Lecture 53 Fundamental Theorem of arithmetic. '02 Q6, '07 Q5

Lecture 54 AIMO 2004 Q6, 2006 Q10, 2009 Q10, 2011 Q2 ax+by=d

Lecture 55 AIMO 2009 Q9, 2010 Q10 & investigation

Section 13: September

Lecture 56 AIMO 2008 Q9

Lecture 57 2008 Q10 investigation

Lecture 58 AIMO2018 Q6-10 investigation, 2009 Investigation

Lecture 59 AIMO 2003 Q9,10, 2007 Q9, 2005Q10

Lecture 60 AIMO2016 Q8,9,10, 207Q9, 2007Q10

Section 14: 2013 AIMO paper

Lecture 61 Paper

Lecture 62 Q1-10 plus Investigation (playlist)

Section 15: 2014

Lecture 63 Paper

Lecture 64 Q1, Q3, Q5, Q7, Q8 (video) Q1,3,8,9,10 (see notes)

Section 16: 2015

Lecture 65 Paper

Lecture 66 Q10 (video) Q1,5,10 (see notes)

Section 17: 2016

Lecture 67 Paper

Lecture 68 Q5, Q6, Q7, Q9 (link) Q8,9,10 (See September 9 video)

Section 18: 2017

Lecture 69 Paper

Lecture 70 Q3,5,6,10 (see 2018 notes) 4,7,8 (2019 notes) 9 (September 9 lecture)

Section 19: 2018AIMO

Lecture 71 Paper

Lecture 72 Q3

Lecture 73 Q6-10 plus investigation (September 2 lecture)

Section 20: 2019 AIMO

Lecture 74 Questions

Section 21: Where to from here?

Lecture 75 Just getting started

Lecture 76 Mastering the AIMO course

Lecture 77 AIME problems

Students keen to improve their maths wanting to go to the IMO,Students qualified for the AIMO through school or AMC