Technique Masterclasses

Pure Mathematics 3

Night Before Guide

Provenance: written 2026-09-29, against research/veridian/WMA13-verified-facts.md (the primary, provenance-checked source), content/veridian/technique-hub/wma13/forge-forty-eight-hour-checklist.md and forge-spaced-repetition-schedule.md (both read in full — this document is deliberately additive to both, not a repeat of either), and signal-frequency-and-boundaries.md (read in full, for the topic-frequency table and grade-boundary caveats reused below). The 11 lesson files in content/veridian/curriculum/wma13/ and the other technique-hub files in this folder were checked by filename and header only, not re-opened, since nothing below duplicates their content. No new primary-source PDF was opened for this pass. Every claim below already has a full citation in one of the four documents named above; this page adds no new fact, only a same-evening triage of facts that already exist elsewhere in this hub.

WMA13 — The Evening Before

What this is. Not a sixth copy of the 48-hour checklist and not the battle card. This is the one page for tonight specifically: what's actually worth ten minutes of your attention, and what to deliberately leave alone. If you want the full countdown, read forge-forty-eight-hour-checklist.md; if you want the dense last-look reference sheet, read forge-battle-card.md.

If you only look at three things tonight

  1. Functions (domain of f⁻¹) and numerical methods (the word "continuous"). These are the two most consistently tested topics in the whole 13-series archive — each anchors a real question in 9 of 13 series checked (forge-spaced-repetition-schedule.md §2). Within them, the single most repeated specific error in the entire archive is a sign-change conclusion missing the word "continuous," and the single most consistently tested habit is stating f⁻¹'s domain in y/f(x) notation, not x notation (forge-forty-eight-hour-checklist.md, "confirmed repeat offenders" 1 and 4). Say both out loud once.
  2. The memorise-vs-booklet split, once, from memory. The booklet gives you the compound-angle sum formulae but not sin2A/cos2A/tan2A; the quotient rule but not the standard differentiation results; the reciprocal-integration results but not cos⁡2A+sin⁡2A≡1\cos^2A+\sin^2A\equiv1. These are exactly what a tired brain reaches for the booklet on and finds nothing (facts bank §3).
  3. Exact values and units. Keep surds and the named angle unit until told a decimal is acceptable; finish every modelled answer with its unit and a direction word ("decreasing," "loss"). Both are confirmed losses across four or more series each (checklist, habits 3 and offender 3).

What not to start tonight

The 48-hour checklist's own "What NOT to start learning fresh" list already covers this territory in full — triple-angle derivation from scratch, a deep dive on any single-series-only pattern, a new full past paper this late — and it applies with extra force tonight. Add one more, specific to tonight: don't spend time trying to pin down which Pearson grade-boundary row ("Unit 3" vs "Unit 3A") applies to your sitting. signal-frequency-and-boundaries.md flags this as genuinely unresolved in this course's own research, and the A* boundary alone has moved by 10 raw marks across sessions in the archive checked — there is nothing to memorise here that would survive contact with your actual paper.

What this document doesn't cover

No likelihood, no boundary prediction, no new trap that isn't already cited in one of the two documents this page is built from. If nothing above rings a bell as a gap, you're done — go to sleep.