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Top 3 Math Competitions for Young Learners: AMC8, Australian AMC, and Math Kangaroo – How to Choose the Right One

Many parents wonder which math competition is suitable for children below Grade 3. Should they start with Math Kangaroo or AMC8? While AMC8 is well-known and attractive, how can parents make the best choice for their child? This article breaks down the three major competitions, their features, sample questions, and a practical roadmap for selection and preparation.

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1. Core Features of the Three Major Competitions

(a) AMC8

The AMC8 is a youth mathematics reasoning competition organized by the Mathematical Association of America (MAA). It serves as a stepping stone for higher-level contests such as AMC10 and AMC12. The content covers upper elementary and middle school mathematics, emphasizing flexible application of knowledge.

Sample AMC8 Problem:
Four squares with side lengths of 4, 7, 9, and 10 units are arranged in increasing order, with left and bottom edges aligned. The colors alternate white-gray-white-gray. What is the total visible area of the gray squares?
(A) 42 (B) 45 (C) 49 (D) 50 (E) 52

(b) Australian AMC

The Australian Mathematics Competition (AMC), organized by the Australian Mathematics Trust (AMT), is divided into five difficulty levels and suitable for Grades 3–12. It is currently the largest school-based mathematics competition.

To support Chinese participants, the Australian AMC offers bilingual exams (English and Chinese), with an award rate as high as 60%. It is highly respected in Australia.

Sample Australian AMC Problems:

  1. A square has an area of 16 cm². What is its perimeter?
    (A) 4 (B) 8 (C) 12 (D) 16 (E) 24

  2. Marlie was born in 2016. In which year will she turn 14?
    (A) 2026 (B) 2028 (C) 2030 (D) 2032 (E) 2034

  3. In a theme park, one ride costs $8. Sally has $65. How many rides can she take?
    (A) 5 (B) 6 (C) 7

(c) Math Kangaroo

The Math Kangaroo is the largest international mathematics competition for students in Grades 1–12. Introduced in China in 2019, it has become popular among young learners, particularly kindergarten seniors and Grades 1–2.

The problems are moderately difficult, progressing gradually in knowledge level, and rarely exceed the curriculum. Math Kangaroo emphasizes engaging, visual, and creative problem-solving, with colorful question papers designed for young children.

Sample Math Kangaroo Problem:
Little La spins her windmill. Which windmill below is hers?
(A) (B) (E)

2. How to Choose Among the Three Competitions

(a) Based on Current Skill Level

Lower elementary students:

  • First choice: Math Kangaroo – helps children experience competition, build logical thinking, and develop a love for mathematics. The focus is on imagination and observation rather than formulas.

  • Second choice: Australian AMC (Middle level) – once a basic foundation is established, it tests comprehensive skills.

  • Optional: AMC8 basic and intermediate questions can be introduced for preparation for future competitions.

(b) For Future Academic Advancement

  • For applications to top US or domestic schools and pursuing STEM competition tracks, AMC8 certificates are essential. They add value to early applications, especially for elite schools and Ivy League early admissions.

  • Math Kangaroo is an ideal starting point, providing enjoyable learning without early frustration.

(c) Preparation Strategy

A recommended progression pathway:
Lower elementary → Math Kangaroo → Australian AMC (Middle/Senior) → AMC8

Annual participation plan:

  • March–April: Math Kangaroo (warm-up and interest-building)

  • September: Australian AMC (award opportunity)

  • Next January: AMC8 (aiming for top honors)

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