What is AMC(Australian Mathematics Competition) | How to prepare for AMC, 2024?

What is AMC(Australian Mathematics Competition)?

The Australian Mathematics Competition (AMC) is one of the largest and oldest annual mathematics competitions in Australia, aimed at fostering interest and excellence in mathematics among students.

Who can appear in the Australian Mathematics Competition 2024?

• Middle Primary – Australian Years 3 and 4
• Upper Primary – Australian Years 5 and 6
• Junior – Australian Years 7 and 8
• Intermediate – Australian Years 9 and 10
• Senior – Australian Years 11 and 12

Australian Mathematics Competition Exam Format 2024:

This exam has 30 questions, of which 25 are multiple-choice questions and 5 problems are integer type.

Australian Mathematics Competitions Exam Syllabus 2024:

Arithmetic and Number Theory:

• Basic arithmetic operations (addition, subtraction, multiplication, division)
• Properties of numbers (even, odd, prime, composite)
• Divisibility rules
• Factors and multiples
• Fractions, decimals, and percentages

Algebra:

• Simplifying expressions
• Solving equations and inequalities
• Understanding and applying formulas
• Patterns and sequences
• Basic functions and their properties

Geometry:

• Properties of shapes (triangles, quadrilaterals, circles, etc.)
• Perimeter, area, and volume calculations
• Angles and their properties
• Symmetry and transformations (reflection, rotation, translation)
• Coordinate geometry

Measurement:

• Length, area, volume, and capacity
• Time and schedules
• Units of measurement and conversions
• Estimation and approximation

Combinatorics and Probability:

• Counting principles (combinations, permutations)
• Basic probability concepts and calculations
• Arrangements and selections

Problem Solving and Logical Reasoning:

• Puzzles and games
• Word problems
• Logical deductions and patterns
• Strategy and optimization problems

Advanced Topics (for higher levels):

• More complex algebra (polynomials, quadratic equations)
• Advanced number theory (modular arithmetic, divisors)
• Trigonometry (basic trigonometric functions, identities)
• Advanced geometry (proofs, theorems)
• Calculus basics (limits, derivatives, integrals)

Preparation Tips

• Utilize your resources: Start your preparation with whatever resource you have. Get a clear idea of the concepts. Change your mindset about problem-solving and enjoy it.
• Go from basics to advanced: To increase your confidence start with some basic problems and then solve the harder ones. This will not discourage you from leaving behind an unsolved problem.
• Solve Past Papers: Solve the previous year's question paper to understand the difficulty level of the examination and practice accordingly.
• Solve Similar Questions: Try to get some questions that are similar to the difficulty level of the Australian Mathematics Competition and practice them.
• Don't hesitate to solve Challenging Problems: As the competition gets tougher year by year. Try to solve questions that are of a higher level of the examination.
• Get a coach: A coach can see and analyze your performance and guide you in the best way possible. He/She can help you strengthen your weaknesses by letting you work in the right direction.
• Take Mock Tests: Take Mock Tests to check your problem-solving ability. If it is an online test, then it can help you know your preparation status for the competition. Thus you can analyze your preparation.
• Track Your Progress: You should also track your progress. If something unimportant is stealing your time, recognize it and try to avoid it. Keep yourself surrounded by people who encourage you. Discuss your dreams and goals with them.