AMC 10 Preparation Guide 2026 for Parents
Start AMC 10 preparation with a diagnostic paper, then strengthen the concepts and decisions that caused mistakes. A useful study plan combines algebra and geometry foundations, carefully reviewed practice problems, and timed practice. For families, progress means a student can explain a solution, choose an efficient method, and work more accurately under pressure. This guide explains the value of the AMC 10 math competition, the current rules families should check, two original worked examples, and a practical plan for the remaining weeks before the November exams. It also explains when a student may benefit from live online instruction.
What is AMC 10 and who can take it
AMC 10 is a mathematics competition organized by the Mathematical Association of America, or MAA. Students solve unfamiliar problems using school-level mathematics and logical reasoning. Eligibility and readiness are different: meeting the age and grade rules does not mean a student has already learned every topic.
Detail | What families need to know |
Format | 25 multiple-choice questions in 75 minutes |
Eligibility | Grade 10 or below and under 17.5 years old on competition day; additional MAA eligibility policies apply |
2026 AMC 10A | November 5, 2026 |
2026 AMC 10B | November 13, 2026 |
Main content | Elementary algebra, geometry, number theory, counting, and probability |
Excluded content | Trigonometry and advanced algebra or geometry |
Sources: MAA competition overview and official 2026–27 dates. This guide focuses on the U.S. and Canadian administration; families elsewhere should check their regional organizer’s policies.
The standard scoring system awards 6 points for a correct answer, 1.5 for a blank answer, and 0 for an incorrect answer, with a maximum of 150. Students should practice without a calculator. MAA’s released AMC 10A paper includes the scoring and permitted-material instructions; follow the current competition manager’s directions on test day.
Why AMC 10 can be worthwhile for a student
AMC 10 gives students a reason to examine a problem before reaching for a familiar formula. An area question may become simpler by subtracting surrounding triangles. A probability question may be easier when the student counts the outcomes that do not work.
For parents, three useful goals are mathematical depth, independent problem solving, and a clearer picture of readiness. The preparation process can reveal whether a student understands an idea well enough to use it in an unfamiliar setting. Discussing solutions also gives the student practice explaining a mathematical argument.
Participation can be worthwhile without an award. A first competition may establish a baseline, while later practice shows whether errors are becoming less frequent and solutions more deliberate. A score does not measure every aspect of mathematical ability, and participation does not guarantee an admissions advantage or a particular school placement.
Students who enjoy challenging problems and can tolerate working through uncertainty are often good candidates. Students still struggling with fractions, equations, or basic geometry may benefit more immediately from a foundation course alongside a smaller amount of competition practice.
What changed for AIME qualification in 2027
MAA currently lists an AMC 10 score of 100 or above as the qualifying score for the 2027 AIME, subject to the other eligibility requirements. Students must also be aged 13 or older to take AIME. Families should use the current MAA invitational competition rules rather than treating a previous year’s percentile cutoff as this year’s target.
The 2027 AIME is scheduled for February 5–6 at Pearson testing centers. AMC 10 participation and AIME eligibility are separate questions, especially for younger students. Qualification is an opportunity for further mathematical challenge; it should not replace a realistic learning goal for the current student.
What to study for AMC 10 preparation
Build enough fluency that routine calculation does not consume the attention needed for reasoning. Then practice recognizing when a concept applies. Topic boundaries often overlap within a single problem.
Area | Useful practice | A sign of understanding |
Algebra | Ratios, equations, factoring, expressions, and word problems | The student translates a situation into a useful equation and checks its meaning |
Geometry | Angles, triangles, similarity, circles, area, and volume | The student identifies relationships and adds a helpful line or decomposition |
Number theory | Divisibility, primes, factors, remainders, and parity | The student uses a constraint to eliminate possibilities |
Counting and probability | Organized cases, combinations, and complementary counting | The student explains why every outcome is counted exactly once |
For a broader introduction, read LingoAce’s guide to AMC 10 topics and preparation. Use the MAA links above for current dates and qualification rules.
If routine algebra or geometric relationships are the main obstacle, explore the Honors Math foundation options within ACE Academy’s online math programs. Placement should reflect what the student can currently explain and solve independently.
Two AMC 10 style practice problems with solutions
The following are original instructional examples, not official AMC questions or predictions of the 2026 paper. They illustrate two reusable strategies. Try each problem independently before reading the solution.
Practice problem 1 Find an area by subtraction
Rectangle ABCD has side lengths AB = 12 and BC = 8. Point P is the midpoint of AB, and point Q is the midpoint of BC. What is the area of triangle DPQ?
Choices: A. 24 | B. 30 | C. 36 | D. 42 | E. 48
Answer: C. 36 square units. The rectangle has area 12 × 8 = 96. Since P and Q are midpoints, AP = PB = 6 and BQ = QC = 4.
The three unshaded right triangles have areas:
Triangle ADP: ½ × 8 × 6 = 24.
Triangle PBQ: ½ × 6 × 4 = 12.
Triangle DCQ: ½ × 12 × 4 = 24.
Subtracting gives area DPQ = 96 − 24 − 12 − 24 = 36.
The transferable idea: a difficult-looking shape can be measured through simpler shapes around it. No slanted side length is needed. Ask the student why the three subtracted regions cover everything outside DPQ without overlapping.
Practice problem 2 Count the complement
Two different integers are selected uniformly at random from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What is the probability that their product is divisible by 3?
Choices: A. 1/3 | B. 7/15 | C. 1/2 | D. 8/15 | E. 3/5
Answer: D. 8/15. There are 10 × 9 ÷ 2 = 45 unordered pairs. A product is not divisible by 3 only when neither selected number is a multiple of 3.
Seven numbers are not multiples of 3: 1, 2, 4, 5, 7, 8, and 10. They form 7 × 6 ÷ 2 = 21 pairs. Therefore, 45 − 21 = 24 pairs have a product divisible by 3, and the probability is 24/45 = 8/15.
The transferable idea: count the simpler opposite event. Ask why multiplying 3 × 9 would double-count pairs that contain two multiples of 3. The explanation matters more than remembering this particular answer.
How to turn practice into a useful study routine
Begin with one publicly released paper under the contest time limit. Record the score, but also mark questions the student guessed, abandoned, or solved correctly with an uncertain method. These details make a diagnostic useful.
Classify each difficulty as a concept gap, setup error, calculation error, or time decision. Each category needs a different response. A concept gap calls for instruction and easier examples; a setup error calls for comparing diagrams, equations, or counting methods. Repeated calculation mistakes may require a consistent checking routine.
For a manageable practice session, try 10 minutes of retrieval from earlier work, 20 minutes on a small problem set, and 10 minutes explaining and correcting a solution. This is a suggested routine, not a prescribed workload. Reduce or extend it according to the student’s attention, school commitments, and starting level.
The U.S. Institute of Education Sciences’ guide to organizing instruction and study supports spacing study, alternating worked examples with independent problem solving, and asking explanatory questions. These are general learning recommendations, not evidence of a guaranteed AMC score increase.
Return to a missed idea after a delay and use a different problem. Recognizing yesterday’s answer is easier than independently selecting the same strategy in a new situation.
A practical AMC 10 preparation timeline for 2026
As of October 20, the November exams are close. Use the remaining time to stabilize existing knowledge and improve decisions. A student with substantial gaps should begin a longer learning plan rather than expect a complete competition foundation in two weeks.
ACE Academy’s suggested study schedule. Exam dates are from MAA; preparation stages are editorial recommendations.
Dates | Focus | A concrete outcome |
October 20–23 | Confirm a host and take a diagnostic | A booked or confirmed exam arrangement and two priority weaknesses |
October 24–30 | Target gaps and mix topics | Corrected solutions with explanations of the decisive idea |
October 31–November 4 | Complete a timed mock and review | A practiced skip-and-return strategy and confirmed test logistics |
November 5 | AMC 10A | Follow the host’s instructions and competition rules |
November 6–12 | Prepare for B if registered | Short targeted review, appropriate rest, and released materials only |
November 13 | AMC 10B | Apply the same deliberate solving and checking routine |
For U.S. and Canadian families, registration is coordinated through a school or another approved host. Contact an existing competition manager promptly about availability, the local student deadline, and fees. MAA’s October 28 late deadline is for returning competition managers, not a universal family registration deadline. See official registration information.
During a mock, secure accessible questions first, mark promising questions for a return visit, and reserve time to check answers. Avoid a rigid three-minutes-per-question rule: questions differ in difficulty. Follow MAA’s release and discussion restrictions when reviewing current-year material.
Choosing an online AMC 10 class
Look for instruction that makes reasoning visible. During a trial, can the student explain a setup, compare two methods, and receive feedback on a specific misconception? A useful class should reveal why an answer works and what to try when the first approach stalls.
ACE Academy connects Honors Math foundations and Competition Math instruction through placement, guided examples, practice, and feedback. Students who need stronger algebra or geometry can build that foundation; students ready for unfamiliar problems can develop competition strategies through discussion and targeted work.
Course consideration | ACE Academy information |
Format | Live online small-group math classes |
Class size | 6–12 students |
Lesson length | Honors Math and Competition Math are listed at 90 minutes per class |
Published program range | Grades 5–10, typically ages 10–15; placement determines the appropriate class |
Best fit | Students who benefit from a regular schedule, teacher feedback, and explaining ideas with peers |
Schedule and tuition | Confirm the recommended level, available class times, package length, and current tuition with ACE Academy |
Program details: ACE Academy Math. An online preparation class does not register a student for the official exam or replace the host’s supervised administration.
Bring a recent practice paper to the placement conversation. Ask which errors instruction will address, how independent work is reviewed, and how progress will be reported. This gives families a more useful basis for choosing a course than an advertised score target alone.
Book a Free Trial Class to discuss the student’s current level and an appropriate Honors Math or Competition Math pathway.
Frequently asked questions
Can a Grade 7 or Grade 8 student take AMC 10
Yes, a younger student can participate if the MAA eligibility rules are met. Readiness depends on mathematical preparation and comfort with unfamiliar problems. The minimum age requirement for the 2027 AIME is separate from AMC 10 eligibility.
Should a student take both AMC 10A and AMC 10B
Eligible students may take both forms. Consider the student’s interest, schedule, fatigue, and host availability. Taking both offers another competition experience; it does not guarantee a higher score or qualification.
Does AMC 10 require trigonometry
No. Focus on the elementary algebra, geometry, number theory, and counting and probability described above. Learning advanced material is less useful than being able to apply the relevant foundations accurately.
What is a good AMC 10 score
A useful goal depends on the student’s baseline and purpose. Track accuracy and independent reasoning as well as the score. For students pursuing the next competition, consult the current AIME qualification section above rather than an old cutoff chart.
Where can students find AMC 10 practice problems
Start with publicly released MAA papers and the Art of Problem Solving resource collection, which links to its Wiki and competition resources. Attempt problems independently, then compare solutions. Use older papers for practice and respect current-exam release restrictions.
Can students take the official AMC 10 at home online
Online preparation and the official competition are different. Under the current U.S. and Canadian policies, AMC participation requires an approved, supervised site; remote proctoring is not permitted. Check the MAA competition policies and confirm arrangements with the host.
Is an AMC 10 course necessary
Not for every student. An independent learner with reliable feedback and a consistent routine may study effectively using released problems. A live class can be useful when the student needs instruction, discussion, accountability, or help understanding repeated mistakes.
About the author
ACE Academy Math Teams develops family-facing guidance on mathematics learning, course readiness, and competition preparation. This article connects the academy’s learning approach with MAA rules and independently linked educational resources. ACE Academy provides paid math courses; the guide is not an MAA publication or endorsement.
Sources and further reading
MAA AMC overview and eligibility
MAA 2026–27 registration and competition dates
MAA AIME qualification and 2027 changes
MAA released 2022 AMC 10A paper and scoring instructions
IES study and instruction practice guide
AoPS learning and competition resources
Official information checked October 20, 2026. MAA controls competition rules and may update them. Study schedules and original examples in this guide are ACE Academy editorial guidance.
