2019 Official Past Papers · Free Download

2019 Australian AMC Mathematics Competition
Official Past Papers & Full Answers HD PDF

Complete collection of 2019 Australian AMC past papers for all five levels (A-E), with HD printable PDF papers, official standard answers, and bilingual detailed analysis.

2019Year
A-ELevels
Medium-AboveDifficulty
FreeAccess
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01 2019 Year Overview

Overall characteristics and difficulty level of the 2019 Australian AMC

The 2019 Australian AMC featured mature question design, excelling in logical reasoning and mathematical modeling. This year emphasized flexible mathematical thinking, with multiple-choice questions requiring multi-perspective analysis. The geometry section focused on area calculations, while algebra emphasized equation applications.

Overall Difficulty
Medium-Above

02 Key Topics

Six core topic areas tested in 2019 Australian AMC

01

Logical Reasoning

Truth-teller/liar problems, reasoning chains, necessary and sufficient conditions

Frequent
02

Area Computation

Figure composition, area-preserving transformations, cut-and-paste method

Core
03

Equation Applications

Distance problems, work problems, concentration problems

Foundation
04

Divisibility Properties

Divisibility rules, remainder patterns, digit puzzles

Must-Know
05

Combinatorial Counting

Permutations, combinations, comprehensive counting principles

Advanced
06

Function Basics

Function concepts, linear functions, quadratic function basics

Application

03 Featured Problem Analysis

Q28 · Area Challenge

Q28 · Area Challenge

Square ABCD has side length 10. E and F are midpoints of BC and CD respectively. AE and BF intersect at point P. Find the area of quadrilateral APCD.
Solution Approach:
Set up coordinates: A(0,10), B(0,0), C(10,0), D(10,10), E(5,0), F(10,5). Find equations of AE and BF, solve for intersection P. AE: y=10-2x; BF: y=x/2. Solving gives P(4,2). Use coordinate area calculation: quadrilateral APCD = △APD + △PCD, applying the cut-and-paste method for the exact area.

04 2019 Study Insights

Key observations based on 2019 exam characteristics

1
High-Quality Logic Problems

Truth-teller/liar and reasoning chain problems effectively tested logical thinking.

2
Diverse Area Calculation Methods

Cut-and-paste, area-preserving transforms, and coordinate methods were all featured.

3
Realistic Equation Applications

Classic word problems in distance, work, and concentration were set in real-world contexts.

4
Mature and Stable Competition Format

Well-distributed difficulty with good balance of differentiation and engagement.

05 2019 Australian AMC Study Guide

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

The 2019 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

Logical Reasoning

a high-frequency area this year — prioritise it and drill Truth-teller/liar problems, reasoning chains, necessary and sufficient conditions for reliable marks.

Core

Area Computation

a core scoring area — master Figure composition, area-preserving transformations, cut-and-paste method thoroughly.

Foundation

Equation Applications

a foundational area — lock in Distance problems, work problems, concentration problems to avoid easy losses.

Must-Know

Divisibility Properties

appears almost every year — build a fixed method for Divisibility rules, remainder patterns, digit puzzles.

Advanced

Combinatorial Counting

key to high scores — once the basics are solid, focus on Permutations, combinations, comprehensive counting principles.

Application

Function Basics

application-focused — watch for Function concepts, linear functions, quadratic function basics combined with real-life contexts.

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

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