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AMO study plan

AMO · Give each week a clear focus.

8 weeks · About 7 hours per week

Week 1

Non-routine problem solving (Grade 3) & Non-routine problem solving (Grade 4)

  • Derive the core Grade 3-4 contest tools from scratch: systematic listing, working backwards, and drawing a labeled diagram before computing.

  • Solve 20 Grade 3 non-routine problems on place value, time, and simple patterns, writing one sentence per problem stating the strategy used.

  • Solve 15 Grade 4 problems on multi-step arithmetic and unit conversion, checking each answer by an independent second method.

  • Build a one-page error log classifying mistakes as misread, arithmetic, or strategy gap.

Your checkpoint

A 35-problem worked portfolio (20 Grade 3, 15 Grade 4) with strategy labels and a completed error log.

Week 2

Non-routine problem solving (Grade 4) & Non-routine problem solving (Grade 5)

  • Master Grade 4 counting and logic puzzles by enumerating cases in a table and proving no case is missed.

  • Apply Grade 5 fraction and decimal reasoning to 15 word problems, converting between forms where it shortens the work.

  • Practice the invariant method: identify what stays constant in 10 problems involving sharing, mixing, or moving objects.

  • Time yourself on 8 problems at 4 minutes each to build pace discipline.

Your checkpoint

A timed set of 8 problems scored and reworked, plus a table of 10 invariant-based solutions.

Week 3

Non-routine problem solving (Grade 5) & Non-routine problem solving (Grade 6)

  • Solve 15 Grade 5 geometry problems on area, perimeter, and composite figures by decomposing shapes into known pieces.

  • Solve 12 Grade 6 ratio and proportion problems using a bar model or unit-rate method.

  • Write a general rule for each of 5 pattern-and-sequence problems and verify it against the 10th term.

  • Explain two solutions aloud in under 90 seconds each to test clarity of reasoning.

Your checkpoint

A written set of 27 solutions with at least one diagram per geometry problem and a rule statement for each sequence.

Week 4

Non-routine problem solving (Grade 6) & Non-routine problem solving (Grade 7)

  • Handle Grade 6 divisibility, GCD/LCM, and remainder problems by prime factorization in 12 exercises.

  • Solve 12 Grade 7 linear equation and inequality word problems, defining the variable explicitly each time.

  • Complete 6 multi-part problems where later parts depend on earlier answers, checking consistency between parts.

  • Review the error log and re-solve every missed problem cold, without notes.

Your checkpoint

A mid-point mock test of 15 mixed problems (Grades 3-6) completed in 75 minutes with a scored breakdown by domain.

Week 5

Non-routine problem solving (Grade 7) & Non-routine problem solving (Grade 8)

  • Solve 12 Grade 7 counting problems using the multiplication principle, permutations, and combinations with justification for each choice of method.

  • Solve 10 Grade 8 problems on exponents, scientific notation, and algebraic manipulation without a calculator.

  • Practice estimation and parity checks to reject wrong answers quickly on 10 problems.

  • Identify three recurring personal failure modes and write a specific countermeasure for each.

Your checkpoint

A 22-problem solution set plus a one-page countermeasure sheet for the three failure modes.

Week 6

Non-routine problem solving (Grade 8) & Non-routine problem solving (Grade 6)

  • Solve 12 Grade 8 geometry problems on similar triangles, the Pythagorean theorem, and coordinate geometry with full justification.

  • Revisit Grade 6 number theory through Grade 8 lenses, solving 8 problems that combine divisibility with algebra.

  • Practice the extreme-case and small-case strategy on 10 problems where the general case is hard.

  • Draft a personal strategy checklist of at most 8 items to consult before starting any problem.

Your checkpoint

A finalized one-page strategy checklist plus 30 worked solutions from weeks 5-6.

Week 7

Non-routine problem solving (Grade 3) & Non-routine problem solving (Grade 4) & Non-routine problem solving (Grade 5) & Non-routine problem solving (Grade 6) & Non-routine problem solving (Grade 7) & Non-routine problem solving (Grade 8)

  • Run two full mixed mock tests of 20 problems each under 100-minute timing, covering all six domains.

  • Score each mock by domain and compute accuracy per domain to find the two weakest areas.

  • Re-solve every incorrect problem and write the corrected reasoning in full sentences.

  • Drill the two weakest domains with 10 targeted problems each.

Your checkpoint

Two scored mock tests with a per-domain accuracy table and 20 corrected solutions.

Week 8

Non-routine problem solving (Grade 7) & Non-routine problem solving (Grade 8)

  • Take one final full mock test and aim to beat the week-7 score by at least 10 percentage points.

  • Review the strategy checklist and error log only, avoiding new material in the last three days.

  • Rehearse time allocation: 3 minutes per problem with a 10-minute reserve for checking.

  • Write a short post-mortem naming what worked and what to change next cycle.

Your checkpoint

A final mock score report compared against week 7, plus a written post-mortem.

Milestones

Week 2: Complete 20 Grade 3-4 problems in one sitting with at least 80% accuracy and every solution showing a stated strategy.

Week 4: Score at least 60% on the 15-problem mixed mock covering Grades 3-6, with no domain below 40%.

Week 6: Score at least 70% on a 20-problem mixed set spanning all six domains and finish within the time limit.

Week 8: Final mock score at least 10 percentage points above the week-7 average, with every incorrect problem reworked in writing.