admin The AMC 10 is coming soon.
For students preparing for the 2026 AMC 10, this is the stage when preparation often becomes increasingly intense. More practice papers appear on the desk. More problem sets are attempted. Timers begin running. Scores become more important.
And this is also the stage when many students make one of the biggest mistakes in competition mathematics:
They confuse solving more problems with becoming better problem solvers.
The two are not necessarily the same.
A student who hurriedly attempts 100 problems may learn considerably less than a student who thoughtfully works through 25 well-chosen problems, studies the underlying concepts, analyzes mistakes, and returns to difficult questions until the ideas become natural.
With the AMC 10 approaching, practice certainly matters.
But quality of practice matters much more than quantity.
AMC 10 2026 Is Approaching
According to the Mathematical Association of America, the 2026 competitions are scheduled for:
AMC 10A — November 5, 2026
AMC 10B — November 13, 2026
The AMC 10 consists of 25 multiple-choice questions in 75 minutes and covers topics including elementary algebra, geometry, area and volume, elementary number theory, and elementary probability.
That gives an average of only three minutes per problem.
But this statistic can be misleading.
AMC 10 is not designed so that you spend exactly three minutes on every question.
Some early problems may take less than a minute. A difficult later problem may require several minutes of exploration, a clever observation, or multiple approaches before the path becomes visible.
That is why AMC preparation should develop two different abilities:
mathematical problem-solving ability and competition-time decision making.
Speed matters—but speed should be the result of mastery, not the substitute for it.
The Wrong Way to Prepare: Chasing Problem Counts
Imagine two students.
Student A says:
“I solved 80 AMC problems today.”
Student B says:
“I worked on 15 problems today. I got four wrong, studied three new ideas, found two alternative solutions, and wrote down the mistakes I made.”
Who had the better training session?
Very often, Student B.
A large problem count feels productive because it is measurable.
50 questions completed.
100 questions completed.
10 papers completed.
But mathematics is not learned by counting checkmarks.
The important question is not:
How many problems did you solve?
It is:
What did those problems teach you?
Practice Is the Key to AMC 10 Success
There is no substitute for solving problems.
You cannot become a strong AMC contestant simply by reading formulas, watching solution videos, or memorizing a collection of tricks.
You have to struggle with mathematics yourself.
You have to encounter a problem where the solution is not immediately obvious.
You have to try an approach.
Sometimes it works.
Sometimes it fails.
Sometimes you reach halfway and discover that your approach has become hopelessly complicated.
Then you try something else.
That process is not wasted time.
That process is the training.
The difficulty you experience while solving a challenging problem is often where the deepest learning occurs.
Do Not Hurry Through Easy Problems Just to Increase Your Count
One particularly dangerous preparation habit is solving large numbers of familiar, comfortable questions.
Suppose you are already excellent at straightforward percentage problems.
Doing another 40 routine percentage questions may make you feel productive.
But the marginal improvement may be tiny.
Meanwhile, perhaps you consistently struggle with:
- modular arithmetic,
- divisibility,
- counting configurations,
- geometric similarity,
- coordinate geometry,
- functional relationships,
- probability,
- clever algebraic substitutions,
- inequalities,
- or problems requiring several ideas simultaneously.
Those are the places where your preparation time may produce much greater improvement.
AMC preparation should therefore contain deliberate difficulty.
Do not spend all your time proving to yourself what you already know.
Spend some of it discovering what you do not yet know.
Spend Time on a Concept Before Trying to Become Fast
Suppose you are weak in modular arithmetic.
One approach is to find 50 modular-arithmetic problems and begin solving them as quickly as possible.
A better approach is to first understand the mathematical structure.
What does congruence actually mean?
Why do residues work?
How do powers behave modulo ?
What patterns appear in units digits?
How does divisibility interact with remainders?
When should you look for periodicity?
Once those ideas are understood, solve carefully selected problems.
Start with direct applications.
Then variations.
Then problems in which modular arithmetic is hidden.
Then problems combining modular arithmetic with algebra, number theory, or counting.
Eventually, when you see the right structure, your response becomes fast.
That is genuine speed.
Concept → Recognition → Strategy → Practice → Fluency → Speed
Trying to reverse this process rarely works.
Speed Should Be a Consequence of Understanding
Students sometimes tell me:
“I understand the mathematics, but I am too slow.”
Sometimes that is true.
But sometimes the real problem is that the concept is understood only superficially.
Deep understanding creates compression.
An experienced problem solver does not necessarily calculate faster than everyone else.
Instead, they often see less that needs to be calculated.
A beginner may write ten lines of algebra.
A stronger student notices symmetry and writes three.
A beginner calculates several cases.
A stronger student uses parity to eliminate half of them immediately.
A beginner draws multiple complicated diagrams.
A stronger student spots similar triangles.
A beginner expands an expression.
A stronger student factors it.
This is one of the great secrets of mathematical speed:
The fastest calculation is often the calculation you realize you do not need to perform.
The AMC 10 Is a Test of Recognition
As your preparation develops, begin asking yourself a different question whenever you encounter a problem.
Not merely:
“How do I solve this?”
But:
“What is this problem trying to make me notice?”
For example, a problem involving large powers may really be testing periodicity.
A complicated-looking geometry diagram may really be about similar triangles.
A counting problem may become simple after considering the complement.
An ugly algebraic expression may contain a hidden factorization.
A probability problem may actually be easier to solve by counting.
A number theory problem may collapse once you examine parity or residues.
This ability to recognize mathematical structure is what separates routine calculation from competition problem solving.
And recognition develops through thoughtful exposure, not rushed exposure.
One Difficult Problem Can Be Worth Ten Easy Problems
Suppose you spend 25 minutes on a difficult problem and cannot solve it.
Was that session unsuccessful?
Not necessarily.
If you genuinely explored the problem, you may have practiced:
- interpreting unfamiliar conditions,
- translating words into mathematics,
- drawing useful diagrams,
- testing examples,
- searching for patterns,
- making conjectures,
- eliminating approaches,
- identifying invariants,
- considering extreme cases,
- working backwards,
- and deciding when an approach is becoming unproductive.
These are precisely the abilities competition mathematics requires.
After a serious attempt, study the solution.
But do not merely read it and say:
“Oh, I understand.”
Ask:
What was the key observation?
Why didn’t I notice it?
At what point could I have discovered it?
What clue in the problem suggested this method?
What other problems could use the same idea?
That turns one problem into a reusable mathematical lesson.
Build an AMC 10 Toolkit
Your goal should not be to memorize thousands of individual solutions.
Your goal should be to develop a relatively small but powerful collection of mathematical ideas that can solve thousands of different problems.
For example, your toolkit should gradually contain ideas such as:
Algebra: factoring, identities, equations, systems, substitutions, ratios, sequences, functions, inequalities, and manipulating expressions.
Number Theory: divisibility, primes, factorization, gcd/lcm, parity, remainders, modular arithmetic, units digits, and Diophantine reasoning.
Geometry: angles, triangles, similarity, congruence, circles, quadrilaterals, area, coordinate geometry, transformations, and spatial reasoning.
Counting & Probability: systematic casework, permutations, combinations, complementary counting, inclusion-exclusion ideas, probability, and expected-value intuition where appropriate.
And across all these topics should sit another layer:
Problem-Solving Strategies.
Working backwards.
Finding a pattern.
Using symmetry.
Drawing an auxiliary line.
Trying small cases.
Changing representation.
Bounding.
Using invariants.
Considering the complement.
Eliminating impossible cases.
These strategies are what transform mathematical knowledge into competition performance.
Keep a Mistake Journal
One of the highest-value AMC preparation tools requires no expensive technology.
Keep a notebook.
After every serious practice session, record important mistakes.
Do not simply write:
Question 17 — Wrong.
Instead classify the mistake.
Was it a:
Concept gap?
You did not know the mathematics required.
Recognition gap?
You knew the concept but did not recognize that it applied.
Strategy gap?
You understood the mathematics but selected an inefficient approach.
Execution error?
Arithmetic, algebra, signs, copying, or calculation caused the mistake.
Reading error?
You misunderstood what the question asked.
Time-management error?
You spent too long on one question.
Judgment error?
You should have skipped the problem temporarily but continued fighting it.
These are very different problems.
They require different solutions.
A student who understands why points are being lost can improve much faster than one who merely knows that points were lost.
Use Past AMC Papers—but Don’t Waste Them
Past AMC papers are extremely valuable.
Treat them accordingly.
Do not burn through every available paper immediately.
During concept-building, individual past problems can be studied topic by topic.
As the examination approaches, preserve enough complete papers for realistic simulations.
Sit for 75 uninterrupted minutes.
Use the same constraints you expect during the actual competition.
Then analyze the paper.
And here is the important part:
The analysis may be more valuable than taking the test itself.
Suppose you spent 75 minutes taking a mock.
It may be completely reasonable to spend another 90 minutes—or even longer—studying it afterward.
Which problems should have been solved?
Which questions consumed too much time?
Where did you make avoidable errors?
Which difficult problems contained ideas worth learning?
Which topics repeatedly caused trouble?
What should you revise before the next mock?
A mock test without analysis measures you.
A mock test with analysis trains you.
Don’t Turn Every Practice Session Into a Mock Test
Timed practice is essential.
But timing everything can damage learning.
There should be two different modes of AMC preparation.
Learning Mode
No obsession with the clock.
Take time.
Explore.
Draw diagrams.
Try alternative approaches.
Study concepts.
Investigate why methods work.
Attempt difficult problems.
This is where mathematical ability grows.
Competition Mode
Use a timer.
Practice skipping.
Make decisions quickly.
Control arithmetic errors.
Develop pacing.
Simulate pressure.
This is where mathematical ability becomes competition-ready.
Students need both.
If every practice session becomes a race against the clock, there is little room for mathematical exploration.
If nothing is ever timed, strong mathematical understanding may fail to translate into examination performance.
A Better Weekly AMC 10 Preparation Structure
As the examination approaches, a strong week could combine several different forms of preparation rather than simply completing one paper after another.
Spend substantial time on concept development, particularly weak areas.
Follow this with topic-focused problem solving, progressing from straightforward applications to unfamiliar competition problems.
Include mixed problem-solving sessions, where the topic is not announced in advance. This develops recognition.
Complete timed sets to improve speed and decision making.
Periodically complete a full 75-minute AMC simulation.
Then devote serious time to post-test analysis.
Finally, revisit previously missed problems several days later without looking at the solutions.
That final step is extremely important.
A problem you understood while reading a solution is not necessarily a problem you can now solve independently.
The Three-Pass Approach for AMC 10
During a timed paper, consider thinking in passes rather than treating Questions 1–25 as a rigid sequence.
Pass 1: Secure the Problems You Know
Move efficiently through questions that are familiar and accessible.
Do not manufacture complexity where none exists.
Collect reliable points.
Pass 2: Return to the Problems That Need Thought
Now tackle problems where you have an idea but require more time.
You may need several calculations, a diagram, casework, or a clever transformation.
Pass 3: Attack the Hard Problems
Use the remaining time for the most demanding questions.
Experiment.
Use answer choices intelligently where appropriate.
Work backwards.
Look for symmetry.
Try special cases.
But maintain discipline.
A single difficult problem should not destroy the rest of your paper.
Don’t Measure Yourself Only by Your Mock Score
Scores matter.
But during preparation, the score is an output.
The more useful information is underneath it.
Suppose your scores are:
92
96
91
97
94
It may appear that nothing is changing.
But perhaps previously you could solve only straightforward geometry questions, while now you are beginning to solve harder number theory problems.
Perhaps careless errors have dropped.
Perhaps you are reaching Question 20 with ten additional minutes.
Perhaps problems that once took eight minutes now take four.
That is progress.
Eventually, improvements in mathematical ability tend to appear in the score.
Focus on the process that creates the score.
If You Cannot Solve a Problem, Don’t Immediately Open the Solution
This habit deserves special attention.
You read a problem.
You try for two minutes.
Nothing happens.
You open the solution.
The solution looks obvious.
You think:
“Yes, I knew that.”
Then you move to the next question.
This creates an illusion of learning.
Instead, give worthwhile problems genuine thinking time.
Try examples.
Draw something.
Rewrite the information.
Ask what is fixed and what varies.
Look for symmetry.
Consider parity.
Factor expressions.
Work backwards from the answer choices.
Try a smaller version.
Change your representation.
Even if you eventually need the solution, the struggle before seeing it prepares your mind to understand why the solution works.
The Final Weeks Are About Consolidation, Not Panic
As November approaches, there will always be another book to read, another problem set to solve, another theorem to learn, and another mock examination available.
You cannot do everything.
And you do not need to.
The objective should increasingly shift from:
“How much material can I cover?”
to:
“How much of what I have studied can I use reliably?”
Strengthen the core.
Repair recurring weaknesses.
Revisit important mistakes.
Practice mixed problems.
Take realistic mocks.
Develop your pacing.
And protect your confidence.
Do not suddenly abandon a thoughtful preparation system because somebody online claims to have solved 500 problems this week.
Their problem count does not determine your AMC score.
Your mathematical ability does.
Practice Less Randomly. Think More Deeply.
If there is one message I want every AMC 10 student to remember this year, it is this:
Practice is the key to success—but practice does not mean rushing through as many problems as possible.
Take a concept.
Understand it.
Solve problems.
Get stuck.
Think.
Make mistakes.
Study those mistakes.
Try again.
Find another method.
Connect the problem to something you have already learned.
Then move forward.
Twenty deeply studied problems can sometimes transform your mathematics more than one hundred hurried problems.
The goal is not to become a machine that has seen thousands of questions.
The goal is to become a problem solver who can face a question they have never seen before.
That is what the AMC is really testing.
The AMC 10 Is Part of a Longer Mathematical Journey
For ambitious students, AMC 10 can also be the beginning of a much longer competition-mathematics pathway.
Strong performance on the AMC 10 can lead to the American Invitational Mathematics Examination (AIME) and eventually toward higher levels of mathematical competition. The MAA describes the AMC pathway as part of the progression toward USAJMO/USAMO and ultimately the U.S. international competition program.
But even if you are not thinking that far ahead yet, preparing seriously for AMC 10 teaches something valuable:
how to think mathematically when the method is not given to you.
That ability lasts far beyond one examination.
Final Advice for AMC 10 2026
The exam is getting closer.
So practice.
Practice consistently.
Practice seriously.
But do not hurry your learning simply because the examination is approaching.
Do not chase problem counts.
Do not spend all your time solving questions that already feel easy.
Do not mistake reading solutions for mastering problems.
Do not sacrifice conceptual understanding in pursuit of speed.
Instead:
Learn deeply.
Practice deliberately.
Analyze mistakes.
Revisit difficult problems.
Develop your mathematical toolkit.
Then train for speed.
When understanding becomes strong enough, speed begins to follow naturally.
And when you walk into the AMC 10, your greatest advantage will not be that you have solved every possible type of problem.
That is impossible.
Your advantage will be that you have learned how to think when you encounter a problem you have never seen before.
That is the real art of AMC 10 preparation.
The AMC 10 is administered by the Mathematical Association of America (MAA). Students and parents should refer to the official MAA AMC information for current competition dates, eligibility requirements, registration procedures, and policies.
