2018 Official Past Papers · Free Download

2018 Australian AMC Mathematics Competition
Official Past Papers & Full Answers HD PDF

Complete collection of 2018 Australian AMC past papers for all five levels (A-E), with HD printable PDF papers, official standard answers, and bilingual detailed analysis.

2018Year
A-ELevels
MediumDifficulty
FreeAccess
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01 2018 Year Overview

Overall characteristics and difficulty level of the 2018 Australian AMC

The 2018 Australian AMC continued its classic format, emphasizing flexible application of fundamentals. This year featured in-depth exploration of sequences and recursion, while geometry focused on triangles and quadrilaterals. Overall moderate difficulty made it an excellent year for building competition confidence.

Overall Difficulty
Medium

02 Key Topics

Six core topic areas tested in 2018 Australian AMC

01

Sequences & Recursion

Arithmetic sequences, geometric sequences, simple recurrence relations

Frequent
02

Triangles & Quadrilaterals

Triangle classification, quadrilateral properties, angle calculations

Core
03

Primes & Factors

Prime identification, prime factorization, factor counting

Foundation
04

Algebraic Operations

Simplification, substitution, fraction operations

Must-Know
05

Probability Basics

Simple probability, sample spaces, event probability

Basic
06

Measurement

Perimeter and area, volume, unit conversion

Application

03 Featured Problem Analysis

Q29 · Recursive Sequence

Q29 · Recursive Sequence

Sequence {aₙ} satisfies a₁=1, a₂=3, and aₙ₊₂=aₙ₊₁+2aₙ (n≥1). Find the value of a₁₀.
Solution Approach:
Computing recursively: a₃=5, a₄=11, a₅=21, a₆=43, a₇=85, a₈=171, a₉=341, a₁₀=683. Alternatively, solve using the characteristic equation method to derive the general term formula and compute a₁₀ directly, verifying the recursive result.

04 2018 Study Insights

Key observations based on 2018 exam characteristics

1
In-Depth Sequence Exploration

Recursive sequences were the year's focus, spanning basic to advanced levels.

2
Geometry Based on Fundamental Shapes

Basic properties of triangles and quadrilaterals were the geometry core.

3
Moderate Difficulty, Great for Beginners

Overall approachable difficulty, suitable for competition entry-level practice.

4
Strong Algebraic Fundamentals

Simplification and fraction operations tested computational basics.

05 2018 Australian AMC Study Guide

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

The 2018 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

Sequences & Recursion

a high-frequency area this year — prioritise it and drill Arithmetic sequences, geometric sequences, simple recurrence relations for reliable marks.

Core

Triangles & Quadrilaterals

a core scoring area — master Triangle classification, quadrilateral properties, angle calculations thoroughly.

Foundation

Primes & Factors

a foundational area — lock in Prime identification, prime factorization, factor counting to avoid easy losses.

Must-Know

Algebraic Operations

appears almost every year — build a fixed method for Simplification, substitution, fraction operations.

Basic

Probability Basics

a foundational area — lock in Simple probability, sample spaces, event probability to avoid easy losses.

Application

Measurement

application-focused — watch for Perimeter and area, volume, unit conversion combined with real-life contexts.

This year’s featured / final problem direction is “Q29 · Recursive Sequence” — practise this problem type specifically and build complete analysis and write-up habits.

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