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1. Memorise the basics: know the primes within 100, and be proficient in prime factorisation.
2. Master techniques: learn to quickly determine divisibility using properties such as last digits and digit sums.
3. Practice induction: work on pattern-finding and number reasoning problems to develop number sense.

1. Visualise formulas: understand the derivation of area and perimeter formulas rather than memorising them mechanically.
2. Hands-on activities: use paper cutting and folding to understand symmetry and 3D figure nets.
3. Combine numbers and shapes: transform geometric problems into algebraic expressions for solving.

1. Ordered enumeration: train yourself to list all possible cases systematically, without repetition or omission.
2. Logical tools: learn to use tables and assumption methods to solve logic problems.
3. Understand principles: master the basic addition and multiplication principles.

1. Variable thinking: practice using letters to represent unknowns and setting up equations.
2. Pattern recognition: train the ability to abstract general formulas or rules from specific examples.
3. Connect to real life: apply mathematical knowledge to solve real-world scenarios.

1. One module per day: review concepts and classic examples in the order of Number Theory, Geometry, Combinatorics, and Algebra.
2. Complete one past paper: time yourself for 60 minutes to simulate a real exam; do not focus on the score, but on the experience.

1. Focus on weaknesses: based on problems identified in past papers, concentrate on similar questions.
2. Create an error notebook: record mistakes, error causes, correct approaches, and related knowledge points.

1. Strict simulation: complete 1–2 more past papers under strict time limits, using an answer sheet.
2. Consolidate strategy: determine your own answering order and time allocation plan (e.g., 30 minutes for the first 15 questions, 15 minutes for the next 5, and 15 minutes for the last 5).

1. Light review: only look at the error notebook and key formula points; do not attempt new questions.
2. Prepare materials: ensure you have your admission ticket, ID, pencils, eraser, etc.
3. Relax: use positive self-suggestion and get enough sleep.

1. Substitute special values: for abstract algebra or pattern problems, try substituting simple numbers to test.
2. Work backwards from options: check which option satisfies the problem conditions.
3. Use diagrams: for geometry or path problems, draw on scrap paper to aid thinking.

1. Fun-oriented: questions are like games and puzzles, greatly protecting young children's enthusiasm for learning.
2. Low barrier: the starting score mechanism and "1 point deduction for wrong answers" rule reduce fear and encourage尝试.
3. Age-appropriate: scientific level division, content highly aligned with cognitive levels.

1. Moderate difficulty: more intellectually challenging than Math Kangaroo, but overall difficulty and competitive pressure lower than AMC8.
2. High recognition in British-system schools: directly beneficial for applications to British-curriculum schools or future study in Commonwealth countries.
3. Error tolerance: no point deduction for wrong answers in the first 15 questions, offering more strategic space, suitable for steady players.

1. Golden starting point of the US system: the "stepping stone" to the US top mathematics competition sequence, with scores highly recognised by top global institutions.
2. Powerful background enhancer: top 5% or even top 1% scores are highly persuasive academic credentials for applications to top international schools and US high schools.
3. Ability touchstone: its speed and depth effectively test students' true mathematical potential.

1. Relatively focused knowledge scope: JMC and Math Kangaroo require less knowledge than AMC8, emphasising thinking over a wide range of.
2. Strong patterns in past papers: question types and exam points are relatively stable over the years, with significant improvement through targeted practice.

1. Adapting to British-style thinking traps: the wording and logical twists of the questions require familiarisation.
2. Mastering the strategy for the last 10 questions: faced with the deduction mechanism, you need to learn to make reasonable trade-offs.

• Weeks 1–2: Focus on learning the basic problem-solving methods and common techniques for JMC's four core modules (logical reasoning, basic number theory, geometric intuition, combinatorial counting), such as parity analysis, extremal principle, and figure cutting and patching.
• Weeks 3–4: Complete past papers from the last 5 years, without time limits. The goal is not to score, but to familiarise yourself with question types, summarise high-frequency exam points and common traps. Create an error notebook, analysing the reason for each mistake (knowledge gap, flawed思路, or carelessness).

Phase 2: Skill Enhancement and Mock Exam Sprint (Weeks 5–8)

• Weeks 5–6: Conduct targeted intensive training on weak modules identified in the error notebook. At the same time, begin timed mock exams (60 minutes per set) to train answering rhythm and strategy.
• Weeks 7–8: Full mock exams and strategy consolidation. Complete 2–3 mock exams per week, strictly simulating the exam environment. Consolidate your personal strategy: for example, ensure 100% accuracy on the first 15 questions (75 points) within 20 minutes; use 25 minutes to tackle questions 16–20; and strategically attempt questions 21–25 in the final 15 minutes (only if confident).

1. Large reading load: in recent years, the amount of text and chart information in questions has increased, requiring improved information extraction speed.
2. Avoiding "trap" deductions: trap questions such as unit conversion and logical qualifiers account for a high proportion.

• Based on your grade level, systematically learn the classic solutions to the five major question types: graphic exploration, mathematical logic, real-life application, calculation skills, and fun puzzles.
• Expose yourself to a large number of fun questions to cultivate a "playful" feeling for mathematics and eliminate fear of the competition.

Phase 2: Past Paper Practice and Trap (Weeks 4–6)

• Complete past papers from the last 3–5 years at the corresponding level. Focus on summarising high-frequency traps (e.g., misreading keywords like "at least" or "impossible", unit confusion, geometric visual illusions, etc.).
• Train the "two-step reading" method: first, read through quickly; second, circle keywords and data.

Phase 3: Speed Improvement and Mock Exam Adaptation (Weeks 7–8)

• Conduct 75-minute timed mock exams to adapt to the reading pace of long question stems.
• Develop a "score protection" strategy: since wrong answers incur deductions, ensure accuracy on easy questions (first two-thirds); strategically give up on complex difficult questions to avoid score loss from blind guessing.

1. Large knowledge gaps: involves all of middle school and even some high school core knowledge (such as basic number theory, probability, combinatorics).
2. Extremely high problem-solving speed requirement: 25 questions in 40 minutes, a huge test of proficiency and speed.

• Use AMC8 official guides or systematic textbooks to intensively study core modules: arithmetic, algebra, geometry, counting, number theory, probability.
• The goal is not depth, but broad coverage and mastery of basic solutions. Ensure 3–4 hours of effective study per day.

Phase 2: Past Paper-Driven and Weakness Breakthrough (Weeks 6–7)

• Start practising past papers from the last 10 years. The first 5 sets can be practised in sections; the last 5 sets strictly timed at 40 minutes.
• Through past papers, expose knowledge weaknesses and immediately return to the textbook for targeted reinforcement. Focus on questions 1–20 to ensure a solid foundation score.

Phase 3: Mock Exam and Ultimate Strategy Optimisation (Week 8)

• Conduct full mock exams and analyse time allocation. Form a fixed strategy: for example, use 15 minutes to ensure accuracy on the first 15 questions, 20 minutes to solve questions 16–22, and the final 5 minutes to冲击 questions 23–25.
• Mindset adjustment: accept the reality that you cannot complete all questions; the goal is to "get the highest possible score within the time limit."