2016 Official Past Papers · Free Download

2016 Australian AMC Mathematics Competition
Official Past Papers & Full Answers HD PDF

Complete collection of 2016 Australian AMC past papers for all five levels (A-E), with HD printable PDF papers, official standard answers, and bilingual detailed analysis.

2016Year
A-ELevels
MediumDifficulty
FreeAccess
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01 2016 Year Overview

Overall characteristics and difficulty level of the 2016 Australian AMC

The 2016 Australian AMC kept a stable question style, emphasizing flexible use of fundamentals, with particularly strong performance in geometry area and basic number theory — a solid year for building fundamentals.

Overall Difficulty
Medium

02 Key Topics

Six core topic areas tested in 2016 Australian AMC

01

Area Calculation

Triangle area formulas, trapezoid area, composite figures

Frequent
02

Number Theory Basics

Parity, divisibility tests, number patterns

Core
03

Algebra Basics

Operation rules, expression simplification, substitution

Foundation
04

Statistical Charts

Bar charts, line graphs, pie chart reading and analysis

Must-Know
05

Simple Counting

Addition principle, multiplication principle, simple permutations

Application
06

Length & Angle

Segment length, angle relationships, triangle angle sum

Basic

03 Featured Problem Analysis

Q28 · Area Problem

Q28 · Area Problem

In triangle ABC, D is on BC such that BD:DC=2:3. E is the midpoint of AD. If the area of triangle ABC is 30, find the area of triangle BEC.
Solution Approach:
BD:DC=2:3 means BD=2/5·BC. △ABD area=2/5·30=12, △ADC area=18. E is the midpoint of AD, so △BDE area=1/2·△ABD=6. Then △BEC=△BDE+△CDE. △CDE=1/2·△ADC=9. Final answer: △BEC=6+9=15. Key is flexible use of the area ratio theorem.

04 2016 Study Insights

Key observations based on 2016 exam characteristics

1
Solid Geometry & Number Theory Basics

Geometry area and basic number theory questions were of consistently high quality this year, ideal for building fundamentals.

2
Area Ratio Theorem Is Core

Triangle area ratio relationships were the key geometry topic.

3
Stable Number Theory Quality

Parity and divisibility questions maintained consistently high quality.

4
Overall Moderate Difficulty

Suitable for foundational training, helping students build competition confidence.

05 2016 Australian AMC Study Guide

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

The 2016 Australian AMC had an overall difficulty of Medium. 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

Area Calculation

a high-frequency area this year — prioritise it and drill Triangle area formulas, trapezoid area, composite figures for reliable marks.

Core

Number Theory Basics

a core scoring area — master Parity, divisibility tests, number patterns thoroughly.

Foundation

Algebra Basics

a foundational area — lock in Operation rules, expression simplification, substitution to avoid easy losses.

Must-Know

Statistical Charts

appears almost every year — build a fixed method for Bar charts, line graphs, pie chart reading and analysis.

Application

Simple Counting

application-focused — watch for Addition principle, multiplication principle, simple permutations combined with real-life contexts.

Basic

Length & Angle

a foundational area — lock in Segment length, angle relationships, triangle angle sum to avoid easy losses.

This year’s featured / final problem direction is “Q28 · Area Problem” — practise this problem type specifically and build complete analysis and write-up habits.

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