How to Prepare for AMC 8: A Parent's First-Year Guide

If your child’s teacher suggested the AMC 8, or your 5th grader is starting to outgrow the elementary contests, you are probably wondering how to prepare for AMC 8 without turning the fall into a boot camp. The AMC 8 is the Mathematical Association of America’s contest for middle school students: 25 multiple-choice questions in 40 minutes, with no calculator. It is the first step on the ladder that leads to the AMC 10 and AMC 12, which is why it can feel like a big deal.

For a first attempt, it doesn’t need to be. A first-year AMC 8 goes best with a small, specific goal and a few months of steady practice. This guide covers the format and topics, whether a 5th or 6th grader should try it, the Achievement Roll (the award that fits younger students best), a prep plan by months before the contest, and three original practice problems with worked solutions.

What the AMC 8 is, in plain terms

The AMC 8 is run by the Mathematical Association of America (MAA), which describes it as the nation’s leading math competition for middle school students.

Two things in that table shape the whole prep plan.

There is no penalty for guessing. A blank and a wrong answer both score zero, so a blank is always the worse choice. Your child should leave with all 25 answers filled in.

There is no calculator. Forty minutes of arithmetic by hand is tiring for a child who reaches for a calculator at home. Fractions, percents, and multi-digit multiplication need to be comfortable on paper well before January.

What topics are on the AMC 8?

MAA says the AMC 8 covers the middle school curriculum, and lists topics such as counting and probability, estimation, proportional reasoning, elementary geometry (including the Pythagorean Theorem), spatial visualization, and interpreting graphs and tables. MAA also notes that some of the later questions may touch on beginning algebra, such as linear functions and coordinate geometry.

You may see prep sites mention “the five core knowledge areas” of the AMC 8. MAA doesn’t publish an official five-part list. When we plan practice for a first-year student, though, we sort problems into five practical buckets that line up with MAA’s description:

1. Number sense: fractions, decimals, percents, ratios, divisibility.
2. Counting and probability: organized lists, “how many ways,” simple chances.
3. Geometry and spatial reasoning: area, angles, right triangles, shapes folded or rotated.
4. Algebra-style reasoning: patterns, unknown quantities, working backward.
5. Reading information: graphs, tables, and word problems where the main job is working out what is being asked.

The grouping is ours. Its job is to show you which kind of problem your child skips or misses most often.

Should my 5th or 6th grader take the AMC 8?

The eligibility rule sets an upper limit (grade 8 or below, under 15.5) and no lower one, so a 4th, 5th, or 6th grader may take it. Whether they should is a judgment call, and the stakes are low: one 40-minute sitting, no guessing penalty, and a score nobody else needs to see.

Signs a younger child is ready for a first try:

• They handle fractions and percents comfortably, as well as whole numbers.
• They enjoy puzzles that take more than a minute and don’t quit when the first idea fails.
• They have done another contest (Math Kangaroo, MOEMS, Noetic, or similar) and liked it.
• They can work quietly for 40 minutes.

If two or more of these are shaky, waiting a year and staying with an elementary contest is usually the better call. Our shortlists for 5th graders and 6th graders cover those options, and the readiness checklist goes through the signs grade by grade.

At what age should students start preparing for AMC 8?

There is no official answer, so here is our practical one:

• Grades 4–5: exposure only. Try a few problems from the first part of an official sample paper, for fun.
• Grade 6: a good year for a first real attempt, with the Achievement Roll as the target. Start focused prep about three months before the contest.
• Grades 7–8: first-timers can still do well. Start three to six months out and aim for a personal best.

The Achievement Roll: the goal built for younger students

If your child is in 6th grade or below, the AMC 8 has a recognition level made for them. MAA’s Achievement Roll recognizes students in 6th grade and below who score 15 or above.

Honor Roll cutoffs depend on how everyone scored that year, so nobody can tell you the number in advance. The Achievement Roll is a fixed score your child can aim at directly.

Fifteen out of 25 is 60% of the questions. Since wrong answers cost nothing, a plan might look like this:

• Work carefully through the questions your child can do, aiming to get about 13 to 15 of them right.
• Skip anything that stalls for more than two minutes, and come back if there is time.
• In the last minute, fill in a sensible guess for every blank. Each guess is a free chance at another point.

Forty minutes for 25 questions is about 1.6 minutes each on average. A younger child shouldn’t try to hold that pace on every problem; three minutes on a problem they can solve and none on one they can’t is a fine trade.

Two cautions. Fifteen is a real stretch for most 5th graders and a solid goal for a well-prepared 6th grader, so a first-year 5th grader who scores 10 has done well. And the Achievement Roll is a planning target for you. Keep it in your notes and out of dinner conversation.

Start with a quick diagnostic

There is no official AMC 8 diagnostic test, but MAA posts sample competitions (a full past AMC 8 with solutions) on its website, and that is the best free diagnostic you’ll find:

1. Print one official sample paper.
2. Give your child 40 minutes, no calculator, pencil and scratch paper only.
3. Score it, one point per correct answer.
4. Sort every wrong answer into “didn’t know the topic,” “careless slip,” or “ran out of time.”

As a rough guide for a first-year student (our experience, not an official scale):

• Under 8: focus on number sense, counting, and accuracy. Use six months if you have them.
• 8 to 12: the foundations are there. Work on the topics your child missed and on checking answers.
• 13 or more: already near the Achievement Roll mark. Spend time on harder problems and on timing.

Retake a different official sample about six weeks before the contest to see the change.

How to prepare for AMC 8: a plan by months before the contest

The contest is in January (exact dates are in the dates and deadlines table). Count back from there.

Six months out (summer)

Useful for younger students or anyone who scored under 8 on the diagnostic.

• Time: about 1 hour per week, as three 20-minute sessions.
• Focus: number sense and organized counting.
• Format: two or three problems per session, untimed, talked through out loud.

Three months out (October)

Where most first-year families should start.

• Time: 1.5 to 2 hours per week for a 5th or 6th grader; 2 to 3 hours for a 7th or 8th grader aiming higher.
• Focus: one bucket per week in rotation, plus a mistake log (a notebook page listing each wrong answer and why).
• Format: four sessions of 20 to 30 minutes, one of them a set of 10 mixed problems.

One month out (December)

• Time: the same as before, not more.
• Focus: timing. Once a week, do a full sample paper in 40 minutes.
• Format: review only the problems that were within reach. Leave the hardest ones for next year.

The final week

One short, easy session, then rest. Rehearse the skip-and-guess routine once more, and check the logistics: where the host site is, when to arrive, pencils and an eraser, and no smartwatch.

How many hours per week does a first-year student need?

For a first attempt, 1 to 2 hours a week for about three months is plenty for most 5th and 6th graders. Aiming for the Honor Roll takes more hours over a longer stretch, and that is a goal for a later year. If practice starts to feel like a chore, cut the length of sessions before you cut how often they happen.

Beginners: win the problems you can reach

MAA says some later questions may involve beginning algebra, which many 5th and 6th graders haven’t met. So a beginner’s plan is to be accurate on the problems they can reach and let the last few go if time runs short.

Habits that help:

• Read the last sentence first. It tells you what is being asked.
• Write something down. A quick table, list, or sketch catches slips that mental math misses.
• Check the answer against the question. Many wrong answers are the right number for the wrong question.
• Use the choices. If your answer isn’t listed, something went wrong. If you’re stuck, try plugging the choices back in.

Three original AMC 8-style practice problems

These are our own problems, written in the style of the earlier AMC 8 questions. Try them with your child before reading the solutions.

Problem 1: The pizza order

A class orders pizzas that are each cut into 8 slices. Each of 27 students eats 2 slices, and each of 4 teachers eats 3 slices. What is the smallest number of pizzas the class needs to order?

(A) 7 (B) 8 (C) 9 (D) 10 (E) 11

Solution. The students eat 27 × 2 = 54 slices and the teachers eat 4 × 3 = 12, so 66 slices in all. Eight pizzas give 64 slices, 2 short. Nine pizzas give 72, enough for everyone. The answer is (C) 9.

What it teaches: the trap is the last step. 66 ÷ 8 is 8.25, and a child in a hurry picks 8. You can’t order a quarter of a pizza, so you round up.

Problem 2: Digits that add to 5

How many three-digit whole numbers have digits that add up to 5? (For example, 203 is one of them.)

(A) 10 (B) 12 (C) 15 (D) 18 (E) 21

Solution. Sort by the first digit, which can be 1 to 5 (not 0).

• First digit 5: the other two digits add to 0, so only 500. That is 1 number.
• First digit 4: the other two add to 1: 401, 410. That is 2.
• First digit 3: the other two add to 2: 302, 311, 320. That is 3.
• First digit 2: the other two add to 3: 4 numbers.
• First digit 1: the other two add to 4: 5 numbers.

In total, 1 + 2 + 3 + 4 + 5 = 15. The answer is (C) 15.

What it teaches: organized counting. Children who list numbers at random usually miss some. Children who pick a rule for the list (“sort by the first digit”) get them all and notice the 1, 2, 3, 4, 5 pattern.

Problem 3: Up 20%, down 20%

A store raises the price of a jacket by 20%. A month later, it lowers the new price by 20%. The jacket now costs $48. What was the original price?

(A) $46 (B) $48 (C) $50 (D) $52 (E) $60

Solution. Raising a price by 20% multiplies it by 1.2, and lowering it by 20% multiplies by 0.8. Together that is 1.2 × 0.8 = 0.96, so the final price is 96% of the original. If 96% of the original is $48, the original is 48 ÷ 0.96 = $50. Check: $50 rises by $10 to $60, then falls by $12 (20% of $60) to $48. The answer is (C) $50.

What it teaches: a classic percent trap. Many children expect “up 20%, down 20%” to cancel and choose $48. The second 20% is taken from a bigger number, so the price ends lower than it started.

Free and paid resources for self-studying AMC 8

You don’t need to buy much for a first year:

• Official MAA sample competitions (free): past AMC 8 papers with solutions, from the people who write the contest. Use them for the diagnostic and the December timed practice.
• Past-competition collections from the MAA store (paid): for a child who wants more official papers.
• Our Problem of the Week (free): one original problem a week by email.
• Our AMC 8 prep guide (paid): a first-year course for students without a math-team background, with 10 chapters, 90+ original practice problems with step-by-step solutions, and a full 25-question practice test.
• Our weekly worksheets for grades 5–6 (paid): for a younger child not ready for AMC 8 yet, a lesson and worksheet each week that build the same problem-solving habits.

Free online archives of past AMC problems are fine for extra practice; for rules, dates, and fees, use MAA’s own site.

How parents can support AMC 8 prep without adding pressure

You don’t need to know the math to help:

• Keep sessions short and predictable. Twenty minutes after dinner three times a week works better than a long Sunday session your child dreads.
• Ask about the thinking. “How did you start?” and “What did you try first?” build the habit of explaining, and you don’t need to know the answer to ask.
• Treat wrong answers as information. Each one goes in the mistake log with a reason, and that’s the end of it.
• Keep the goal private. You can plan around the Achievement Roll without telling a 10-year-old they need a 15.
• Plan something fun for after the contest, so the day feels like an event.

If this is your child’s first contest of any kind, our parent’s guide to a first math competition covers the day itself.

How to register when your school doesn’t offer it

Families don’t register directly with MAA. Students take the AMC 8 through a school or another registered host site.

1. Ask your school first, by early fall.
2. If it isn’t hosting, look nearby. MAA suggests local colleges and universities, math circles, and learning centers. Its AMC registration site has a search by zip code for schools that registered, plus a list of college, university, math-circle, and learning-center sites.
3. Contact the site yourself. MAA notes that it is up to you to ask whether a host will accept an outside student. Ask early.
4. Ask about cost. MAA’s fees are paid by the host (see the table below); ask whether the host charges outside students anything.

Dates and deadlines

As of September 2026, from MAA’s official AMC registration page. Confirm at maa.org/amcreg before you rely on a date.

These deadlines and fees apply to the host school or site, not to individual families. If you are asking a school to add the AMC 8, the early-bird deadline is the one to mention.

After the AMC 8: moving on to AMC 10

MAA suggests that students who enjoy the AMC 8 continue with the AMC 10 and AMC 12. The AMC 10 is open to students in grade 10 or below who are under 17.5 on contest day, and it has 25 multiple-choice questions in 75 minutes, about 3 minutes per question instead of 1.6.

In our view, a student is ready to make the switch when they:

• score comfortably above 15 on the AMC 8 and finish with time to spare,
• are comfortable with first-year algebra, and
• enjoy staying with one problem for several minutes.

Frequently asked questions

Can my child take the AMC 8 at home? Students take it through a school or registered host site, where an adult competition manager runs it. If you homeschool, contact MAA’s AMC office about your options.

What is a good first-year score? For a 5th grader, around 10. For a 6th grader, 15 earns the Achievement Roll. For a 7th or 8th grader, beating the diagnostic score by a few points is a good first year.

This guide is not affiliated with or endorsed by the Mathematical Association of America (MAA) or the American Mathematics Competitions. “AMC 8” is a trademark of its respective owners. This guide is not affiliated with or endorsed by Math Kangaroo USA or Kangourou sans Frontières. “Math Kangaroo” is a trademark of its respective owners. It is also not affiliated with or endorsed by MOEMS® or Noetic Learning. All contest details come from MAA’s official materials as of September 2026 and can change, so confirm dates, fees, and rules at maa.org before you register.

Where to go from here

If your child is in 6th grade or below and ready to try, set the Achievement Roll as a private goal, run one official sample paper this week, and find a host site before the October 28 early-bird deadline gets close.

For structured practice, our AMC 8 prep guide is written as a first-year course, and every contest we cover is on the guides page. If your child is still choosing between contests, the decision guide compares them side by side, and the Math Kangaroo parent’s guide covers the spring contest many AMC 8 families also take.