AMC Junior Advanced Course · Y7–8
AMC Y7-8 · Q26-30 Mastery

AMC Y7-8 Advanced Course — Master the Hardest 5 Questions

Questions 26-30 are the hardest five on the AMC Y7-8 paper — and require careful, multi-step reasoning. This course works through techniques across Number Theory, Algebra, Geometry and Combinatorics, then drills full-paper mock exams under exam conditions. Worked examples connect the techniques to exam-type and original practice problems.

AMC Y7-8 pathway: Foundation (Q15-25) → Advanced (Q26-30) → Mock Exam (full timed papers).

Number Theory

  • Digit Sums & Puzzles — Divisibility by 9 · digital roots · classic puzzles
  • Divisibility & Modular — Divisibility rules · remainders · intro modular
  • Q30 Hunt — Synthesis — Q30-style synthesis under pressure

Geometry

  • Plane Areas — Area decomposition · similar triangles · ratios
  • 3D · Circles · Tangents — Cross-sections · inscribed circles · tangent setups

Combinatorics

  • Counting Basics — Multiplication principle · permutations · PIE
  • Recursion & Bijections — Recurrences · casework · bijective counting

Algebra

  • Modelling · Rates · Surds — Setting up equations · rate-work · surd manipulation

Synthesis

  • Cross-Module Synthesis — Mixed-topic problem sets · pick-the-right-tool
  • Full-Paper Diagnostics & Strategy — Pacing · skip strategy · what to revise next

Mock Exams

  • Mock 1 — Easy — Warm-up mock · build exam-day rhythm
  • Mock 2 — Medium — Step up · timing pressure builds
  • Mock 3 — Hard — Full difficulty mix · review every miss
  • Mock 4 — Timed Q26–30 Set — Five integer-answer questions · 35-minute practice
  • Mock 5 — Q26-Q30 Paper A — Q26-30 only · 20 min sprint A
  • Mock 6 — Q26-Q30 Paper B — Q26-30 only · 20 min sprint B
  • Mock 7 — Q26-Q30 Paper C — Q26-30 only · 20 min sprint C
  • Mock 8 — Q26-Q30 Paper D — Q26-30 only · 20 min sprint D · final check

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