2017 Official Past Papers · Free Download

2017 Australian AMC Mathematics Competition
Official Past Papers & Full Answers HD PDF

Complete collection of 2017 Australian AMC past papers for all five levels (A-E), with HD printable PDF papers, official standard answers, and bilingual detailed analysis.

2017Year
A-ELevels
Medium-AboveDifficulty
FreeAccess
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01 2017 Year Overview

Overall characteristics and difficulty level of the 2017 Australian AMC

The 2017 Australian AMC broke new ground in question innovation, featuring comprehensive problems combining number theory with combinatorics. Geometry emphasized transformations and area relationships, while algebra highlighted function applications. Multiple-choice questions demanded more creative thinking.

Overall Difficulty
Medium-Above

02 Key Topics

Six core topic areas tested in 2017 Australian AMC

01

Number Theory & Combinatorics

Integer partitions, counting in number theory

Frequent
02

Geometric Transformations

Rotation, symmetry, similarity transformations

Core
03

Function Applications

Function modeling, optimization, graph analysis

Foundation
04

Counting Strategies

Case analysis, tree diagrams, systematic enumeration

Must-Know
05

Data Analysis

Chart reading, trend analysis, averages

Application
06

Equations & Inequalities

Linear systems, quadratic equations, basic inequalities

Advanced

03 Featured Problem Analysis

Q30 · Number Theory + Combinatorics

Q30 · Number Theory + Combinatorics

Express 2017 as a sum of positive integers (order doesn't matter) such that their product is maximized. Find this maximum product.
Solution Approach:
A classic integer partition optimization. Key strategy: don't use 1 (multiplying by 1 is useless), prefer 3 (most efficient), use 2 for the remainder. 2017÷3=672 remainder 1, but using 1 is wasteful, so 2017=3×671+2×2. Maximum product = 3^671×2² = 3^671×4. Uses logarithmic analysis to prove 3 is the optimal partition base.

04 2017 Study Insights

Key observations based on 2017 exam characteristics

1
Number Theory × Combinatorics Innovation

Problems requiring both number theory and combinatorial knowledge appeared for the first time.

2
Higher Creative Thinking Demands

Some MCQs required breaking from conventional approaches with creative methods.

3
More Function Application Problems

Function modeling and optimization became key algebra topics.

4
Classic Integer Partition Problem

The finale involved integer partition optimization, testing mathematical insight.

05 2017 Australian AMC Study Guide

Targeted preparation tips by topic, based on this year’s difficulty and focus areas

The 2017 Australian AMC had an overall difficulty of Medium-Above. Prepare in order — secure the high-frequency and foundational areas first, then break through the advanced topics — with timed practice on this year’s papers.

Frequent

Number Theory & Combinatorics

a high-frequency area this year — prioritise it and drill Integer partitions, counting in number theory for reliable marks.

Core

Geometric Transformations

a core scoring area — master Rotation, symmetry, similarity transformations thoroughly.

Foundation

Function Applications

a foundational area — lock in Function modeling, optimization, graph analysis to avoid easy losses.

Must-Know

Counting Strategies

appears almost every year — build a fixed method for Case analysis, tree diagrams, systematic enumeration.

Application

Data Analysis

application-focused — watch for Chart reading, trend analysis, averages combined with real-life contexts.

Advanced

Equations & Inequalities

key to high scores — once the basics are solid, focus on Linear systems, quadratic equations, basic inequalities.

This year’s featured / final problem direction is “Q30 · Number Theory + Combinatorics” — practise this problem type specifically and build complete analysis and write-up habits.

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