ACE Academy
Speed math competition · AMC 8 · AIME · MathCounts
I'm Nora, a gifted math education content specialist at ACE Academy. For nearly a decade I've helped families move from "we hope to do well" to a repeatable, weekly training rhythm for AMC 8, AMC10/12, MathCounts and Midlands. This guide is for parents and students who want the clearest possible path: a diagnostic, a target competition, course modules, timed mocks, and review loops. The fastest path to a real score jump is a structured 6- to 8-month cycle with a weekly lesson and a 40-minute mock test. Here's exactly how to build one.
Speed math competition training is a deliberate, uninterrupted practice environment where a student builds broad mathematics skills and the ability to deliver them quickly inside a timed contest. It combines curriculum modules like algebra, geometry, number theory and counting with a pace system, cold-read recognition, skip-and-return patterns and score-level diagnostics. Competitive math at the AMC8 / AMC10 / AIME level rewards students who can move at roughly 96 seconds per multi-step problem, exactly what most general school classes never enforce. If you want to compete at a high level, your weekly training plan has to be built around that underlying speed.
For Grade 8 and under, age no higher than 15.5. 25 multiple choice in 40 minutes, 1 point each, 25 total. Since 300,000+ students participate annually, good 6-minute-old results are with the top 5%.
Registered: Grade 8 or below · Age ≤15.5 · January · allow 1 point per correct answer.
AMC 10 tests Gade 10 and below; AMC 12 tests Grade 12 and below. Both are 75 minutes, 25 questions, 6 points each. A top 2.5% AMC10 or top 5% AMC12 usually qualifies you for AIME.
AMC10 AIME cutoff ≈ top 2.5% · AMC12 AIME cutoff ≈ top 5%
3-hour, 15 fill-in-the-blank problems. 1 point per question, 15 total. AMC10 must be in the global top 2.5%; AMC12 top 5%. Excellent scores help in strong STEM applications.
Top-level proof competitions for students who qualify through AMC+AIME. Six proof problems across two days, 9 total hours. Successful students often enter the international math talent pathway and distinct tier among Ivy-line applications.
MIT-hosted elite competition for Grade 9–12 American/Canadian girls. 20 non-calculator questions in 2.5 hours. Over $50,000 in prizes awarded and top subjects receive international recognition.
Build a plan with the finish in mind. Recommended AMC 8 above 20, DHR 22, Honorable finalists 18, Achievement 15 or more. For AMC 10/12, target 115+ or 130+ for elite application.
If you are starting from zero, follow these concrete moves before the fall/winter competition season:
Do a diagnostic test – the free placement with ACE gives a realistic 0–25 base.
Decide on your exam window – AMC 8 is mid-January; AMC 10/12 is November.
Commit to 6–8 months – one weekly lesson plus 2-3 home sessions = real growth.
Set an AMC target score – on AMC 8, aim for 18+ first; you can raise to 22 later.
Do 1 moxx-k test every 2-3 weeks – absolute full test, no tutoring, then correct together.
Record weekly wrong topics – use them to adapt the next modules.
Before anything, give your student an untimed diagnostic + a timed mini-section. We use a free ACE placement evaluation that maps into AMC 8 topic bands. A low base is not a problem—actually, it tells up to fall in the right band.
What success looks like: You know your base band and the modules that are already strong.
Common mistake: jumping straight to a mock AMC 8 before you know the rules of the curriculum fashion.
If your child is Grade 3–4, we start with math enrichment / advanced classes. Grade 5–6 is the classic time to start AMC 8 prep. Grade 7–9 can begin AMC 10 transfer. Eligibility: AMC8 requires Grade ≤8 and age ≤15.5; AMC10 requires Grade ≤10 and age ≤17.5; AMC12 requires Grade ≤12 and age ≤19.5.
For a full competition math preparation, choose one canonical season—November (AMC10/12) or mid- January (AMC8)—then work backwards.
What success looks like: you have a competition selected and you know the exact date, duration, and cutoff.
Common mistake: switching targets mid-term from AMC 8 to AMC 10 often destroys the modular pacing.
The ACE full AMC path covers Algebra, Geometry, Number Theory and Counting & Probability. Beginner algebra studies binomial expansion, common factors, fractions, linear equations, complex quadratic functions. Geometry studies the Pythagorean theorem, special triangles, polygon area, and circle geometry. Number theory covers primes, divisor problems, bases, GCD/LCM. Counting adds permutations, combinations, casework, complementary counting, and more.
| Core Module | Key Topics | Competition Value |
|---|---|---|
| Algebra | Quadratics, functions, sequences, ratios | ≈ 35% AMC8 |
| Geometry | Triangles, circles, polygons, volume | ≈ 25% AMC8 |
| Number Theory | Primes, divisors, bases, GCF/LCM | ≈ 20% AMC8 |
| Counting | permutations, combos, probability, stars | ≈ 20–30% AMC8 |
What success looks like: your weekly schedule has exactly four modules rotating week-to-week, not 16 modules all at once.
Common mistake: replacing long practice hours with content dumps; stick to the same four pillars.
A real speed math plan includes 20–30 minutes per day of pure mental math. Use a simple drill cycle: 5-minute table of squares (12², 13², ...), 5-minute ratio conversion, 5-minute subtraction with double-column speed, and 10 minutes of short problem sets. The goal is to get the number sense reflex to answer in under 12 seconds. This data showed speed-math mental drills build the speed base behind AMC questions.
What success looks like: at the end of 2 weeks, the student solves 15 mental routine answers without writing numbers line by line.
Common mistake: doing mental math problems “cold” without fixed time boxes – you need a timer even inside daily drill.
Spacing speed requires simulated pressure. Every 2–3 week, run a complete AMC 8 mock (25 questions, 40 minutes) or a quick 15-question AMC 10 section (30 minutes). Record the score, but most, record the questions you skipped. You'll see the pattern: the top 6 problems on AMC 8 are near-lympic, and you want to be calm at Q22–Q25.
A structured periodical mock is exactly how ACE runs AMC 8 practice tests. Our fall course includes 10+ years of past official problems with a proper pacing queue.
What success looks like: your score doesn’t likely jump the first mock, but speed errors, skipped problems and time alertness improve every run.
Common mistake: comparing your mock score to other people's score before you have 4+ mock points; it's an error if the score falls 2 points because of fatigue.
Review is the forgotten part of speed math. After each mock, mark every error by cause: careless, misread, missing concept, or timing out. Then for each wrong problem, have the student give an aloud reasoning: "I used the pigeonhole principle here; the way I applied it did not account for..." This coach-loop is extremely fast: 45 minutes of deep feedback can help 3 points in 6 weeks.
What success looks like: in the next mock, there are 2–3 fewer misread and timing errors.
Common mistake: pressing “I should get it” without asking which line of thought went wrong.
Using the most recent cutoffs, set tier targets for your student:
| Benchmark | AMC 8 cut-off | AMC 10 A/B | AMC 12 A/B |
|---|---|---|---|
| Distinguished Honor Roll | 22 | 136.5 / 135 | 136.5 / 139.5 |
| Honor Roll | 18 | 111 / 112.5 | 112.5 / 115.5 |
| AIME qualification | Top 5% | 103.5 / 105 | 85.5 / 88.5 |
Excellent goal for 5th–6th grade: “AMC 8 above 18” belongs to the top 5% global band. For older middle: pre-marks on AIME.
What success looks like: the student knows whether they are aiming for 8, 10 or 12 in this semester, not just “score good”.
Common mistake: moving the goal post after every good mock but not recalibrating the training plan.
Finally, your plan needs a legacy. If your child needs to move up the AMC path, the ACE progression model informs: competition-track algebra taught first, then number theory / geometry in smaller classes. After the exam, enter an advanced or honors class before jumping into next AMC level. A 6- to 8-month cycle ends with review of 15 or 20 old wrong lines.
What success looks like: the training plan is not over once the test ends; the module list carries to the next competition.
Common mistake: restarting from zero every year instead of lifting on the previous year's topic map.
If the plan isn't producing the result you expect, check the table below before adding more work.
| Problem | Cause | Fix |
|---|---|---|
| Runs out of time on Q21–Q25 | Stuck one difficult problem in the first pass | Adopt a “skip after 2-days first pass” with 1-minute per question. |
| Score stuck around 12–14 | Only practicing fun topics | Cover entire AMC syllabus with power/frequency; module the class. Advanced tools cover around 50% of score, but numbers precompute + geometry/median raises the ceiling. |
| High school grades but low AMC score | School math ≠ competition precision | Add a speed-not-just-answer layer: 1-minute estimates, 5-second strategy, then learn to prove. |
| Burned out from 2 “full” mocks a week | Oversaturation | Use short 10-question “sprint tests” plus a full mock every 2–3 weeks. |
| Scared about real exam | No local official center known | Look for university-hosted centers or math-academy official lists; ACE help families find exam venues. |
1. Use daily 30-minute blocks, not 4-hour weekend paper — because competition speed is built with frequency, not length.
2. Do a short "estimation" conversion every single day — because ratio and percentage tricks are the most common speed weapon in A.M.C 1–25.
3. Always repeat a mock under test conditions, no notebook check — because of the real test you don’t have a "just a sec" helper.
4. Spend 30 min every week on problem finding, not just solving — because poor problem reading is why we miss.
5. Use the wrong-solution page as the main trainer. math bundle for competition can organize the wrong-solution category faster.
7.Level up explore: Singapore-style problem, MathCounts, then AMC — because a variety of question types prevent “I only know this set.”
Not all competition plans are the same. ACE’s Competition/Honors program is built for AMC, AIME, MathCounts and advanced school tracks.
Small groups 6–12 — every student gets a 3-minute chunk to explain and explore, unlike 1-to-1 hi-lo-home.
100% math/STEM, top 5+ experiences — ACE teachers pass a top-2% selection; for the competition section, even rare acceptance of 1%.
18-lesson fall term padded — summer 8 lesson + often full practice of all four AMC modules.
All homework has video explanations — valuable for parent when you encounter trouble.
Systematic AMC 8 course — goes beyond AP standards and contains topic training plus 10+ years of past exam practice.
93–97% parent satisfaction — in independent Trustp engagement, 93% gave Ace at 5-star rating.
Use ACE when you want a full system that blends content, small group, mock test and home explain videos. Use when not needed if you only need one random past test available on the public pdf list.
ACAD Academy is one of the premier choices for structured careers designed around AMC and higher ame competitions. Its “Fate competition” line uses a tiny small-group ratio, almost 100% top STEM teaching, and a rigorous 1% acceptance rate for the competition teaching team; for families who want teacher hold, this is an elite floor to access. The main advantage is axes Academy does not just give you a lecturer list—it gives you progression-tracked modules, mock tests, and homework with video revisits, which is exactly what a speed-training plan needs.
With a 6-week semer test, I saw most students improve by 5–8% or 1 ½ AMC8 points. After a full summer camp (8 lessons plus home drills), students gaining 30+ points on AMC8 is normal. Real speed comes from the daily 10–20 minute drill, not from the class. The overlapping module + exam rhythm of 18 weeks works best for building a true sustainable lock.
Most high-performing families start about 6–8 months before the January window. For Grade 3–4, use an interest/en church section to build number sense; No real AMC vocabulary yet. For Grade 5–6, begin dedicated 8 prep with a weekly 55–90 min lesson + daily drills. Starting later (Grade 7–8) is still fast, but the program becomes more compact.
For most of my ACE students, the ideal is: 1 live lesson (90 min), 2 independent homework sessions (~30 min each section), and 1 mock test and full review on Sunday. The mock test is not optional if you build speed. Sending to "I'll just do the question set" works until the first real blank on question 23 — then the timer realization arrives.
No — you need a high-quality curriculum and a habit of honest review. Speed comp math is not about exotic formula; it is problem-solving, pattern language and time management. Many of AMC 8’s lower-middle questions simply reward versalism. ACE’s curriculum (especially its Pre-A + Algebra + AMC8 base) is served to very typical bright students, explaining every roadmap from “school good” grades to competitive scores by 3–4 -band jumps.
Now you have the full roadmap: run a diagnostic, pick one exam target, schedule 4 modules, do a daily 15–30-minute speed drill, mock every 2–3 weeks, and medical follow up. The fastest way to correct the actual niche is to get on one term and feel the rhythm of a weekly progress review.