Three months is the sweet spot for AMC 8 prep. Long enough to fill in topic gaps that took years of school to create, short enough to avoid burnout. This plan has worked across many middle-schoolers, but the specific tactic — matching study type to phase — is what makes it score-efficient.
The plan at a glance
- Days 1–30 (foundation): one topic per week, 5–8 drill problems per day, no full mocks
- Days 31–60 (mocks + targeted drill): one full mock per weekend, 5–8 mixed drills per weekday
- Days 61–90 (weakness-focused): mocks every 4 days, with weekday drills focused on the top 2 error types from the most recent mock
Phase 1: Foundation (Days 1–30)
Goal: cover every AMC 8 topic at least once. Don't worry about timing. Don't take full mocks yet — they'll just demoralize you and you don't yet have the tools to act on the feedback.
A topic per week, in this order (chosen because each builds on the previous):
- Week 1 — Arithmetic foundations. Fraction / decimal / percent conversions, ratios, rates, working with units. This is the AMC's substrate; everything else assumes it. Drill problems 1–5 of past AMC 8s — they almost always test these.
- Week 2 — Number Theory.Divisibility rules, GCD/LCM, prime factorization, basic modular arithmetic. Most underrated topic on the AMC 8. Master problems like "the last digit of 7^{100}" — they recur every year.
- Week 3 — Counting and Probability. Listing, combinations, permutations, complementary counting, basic probability with cards / dice / coins. Around 5 problems per year.
- Week 4 — Geometry. Areas (triangle, rectangle, circle, trapezoid), Pythagorean theorem, angle chasing, similar triangles. The largest topic — usually 6–8 problems per AMC 8.
Daily routine: 30–45 minutes. Read the topic introduction (any textbook works), then drill 5–8 problems. The point isn't to feel good about the answers — it's to identify the moments where you thought "I should know this" and didn't. Write those down.
Inside Amc2Aime, this is one knowledge-point drill per day from the topics page. Tell the coach "练 5 道因式分解" or "drill divisibility" and you'll get 5 problems calibrated to your level.
Phase 2: Mocks + targeted drill (Days 31–60)
Goal: build test stamina and discover your specific weakness pattern. The transition from drilling to mocking is the single most common stalling point — students delay mocks because they fear a bad score. Bad scores in this phase are the point. They define your prep for the rest of the plan.
Weekly cadence:
- Saturday morning — full 40-minute timed mock from a past AMC 8. Phone away, no calculator, fresh paper.
- Saturday afternoon — review, untimed, every miss. For each wrong answer, write one sentence: was it (a) didn't know the technique, (b) knew but rushed, (c) misread, or (d) arithmetic slip? These four buckets drive next week's drills.
- Sunday — rest or light reading.
- Mon–Fri — 30 minutes per day, 5–8 mixed drills. Drill bias toward whichever bucket dominated the most recent mock.
After 4 weeks of this, you'll have 4 mock scores and 4 weakness profiles. The pattern matters more than the absolute scores. If 3 of 4 mocks had "arithmetic slip" as the top miss type, you're a fast solver — your prep should bias toward calmer execution, not new content.
Phase 3: Weakness-focused (Days 61–90)
Goal: convert each high-frequency weakness into a reflex. By now you know your top 2 error types. Stop doing mixed drills.
- Mocks every 4 days instead of weekly. The increased frequency reduces mock-day pressure and gives you faster feedback loops.
- Drill only your top 2 weakness topics. If Geometry and Number Theory together cause 60% of your missed points, use 100% of weekday drills on them. Counterintuitively, drilling topics you already master loses you points elsewhere by eating prep time.
- Time the easy problems. A mock-day exercise: do problems 1–10 in under 12 minutes. The AMC 8 is won by capturing all of problems 1–15 cleanly and stretching for problems 16–20. Speed on the easy ones is what creates room to think on the hard ones.
Final week: stop drilling new content 5 days before the test. Only do mocks at half-pace and review old missed problems. Last 2 days: rest. Last 24 hours: nothing math. The AMC 8 rewards alert execution, not pre-test cramming.
What to expect from this plan
Across the cohort of students who've actually run the full 90 days as described, the typical score gain is 6–10 points. Students starting from very low scores (under 10) often gain more — there's more low-hanging fruit. Students starting already at 18+ gain less per hour of prep — diminishing returns kick in hard around problems 21–25.
A few patterns to watch for:
- Score plateau in week 6–8 — normal. The phase transition from mixed drilling to weakness-focused work is designed to break it. Don't quit at the plateau.
- Score regression after a fresh topic — also normal. Adding a new technique temporarily slows your existing habits. Returns within a week.
- Score gain on practice but not on mocks — you're probably drilling problems too similar to ones you've seen. Switch to a different past AMC 8 year.
How Amc2Aime accelerates this plan
The labor-intensive parts of the plan are review (sorting misses into the four buckets) and weakness diagnosis(figuring out which topics keep failing across mocks). Both are what the AI coach does:
- L1 review shows your answer vs. correct + the official solution per problem.
- L3 error patterns aggregates misses across all your mocks and pinpoints the 2–3 knowledge points that explain most of your gap.
- L4 Socratic follow-upsask 2–3 questions per missed problem to surface your reasoning failure — useful for telling apart "rushed" from "didn't know".
Telling the coach "来 25 道" or "AMC 8 全真模拟" starts a full mock from a past AMC 8 paper. Telling it "练 5 道几何" or "drill geometry" starts a topic-targeted drill. After your second mock, ask for the L3 review and let the weakness pattern guide the next 30 days.