Technique Masterclasses

Pure Mathematics 2

Spaced Repetition Schedule

Provenance: compiled 2026-09-29. Built primarily from signal-frequency-and-boundaries.md Part 1 (this paper's existing whole-paper frequency table, read in full) of this same folder, and from all eleven signal-topic-brief-*.md files in this folder (each read in full), which supply a per-topic frequency count and mark-tariff pattern that in several cases corrects or narrows signal-frequency-and-boundaries.md's own row — every correction used is named explicitly in §2 and §4 below, not silently substituted. Also read in full: research/veridian/WMA12-verified-facts.md §3 (assessment structure and the formula-booklet contents — confirmed via the rendered PDF page image, not just extracted text) and §7 ("topics with enough verified material for a genuine standalone lesson," used here as a secondary signal alongside raw frequency, exactly as the WMA11 sibling document uses its own paper's §6 equivalent). Cross-checked against forge-battle-card.md's "Formula & definition-cue masterlist" for which P2 topics are printed in the yellow booklet and which must be memorised outright — a genuine, checkable WMA12-specific fact used in §1's reasoning. forge-exam-technique-guide.md and codex-formula-and-method-bank.md were checked (grepped for relevant topic names) to confirm neither already states a repetition schedule; neither does. The eleven curriculum lesson files in content/veridian/curriculum/wma12/ were checked by filename against this folder's topic-brief list to confirm the tier mapping in §2 covers all eleven taught topics; their own worked exemplars are not reproduced here. content/veridian/question-bank/wma12.ts was not separately re-read for this document — each topic brief already reports what it found there (overwhelmingly "zero matches," i.e. no worked past-paper item yet exists for most of these topics), and that finding is carried forward by citation rather than re-checked. Not affiliated with or endorsed by Pearson Edexcel. Every repetition count and day-interval in §3 is this course's own scheduling construction, reusing the same six-cycle Day-0/2/5/10/18/30 widening-interval pattern already established for this course in content/veridian/technique-hub/wbs11/forge-spaced-repetition-schedule.md §3 and reused since in the WBS12/13 and WMA11 siblings — flagged here as a reused convention, not a new finding, exactly as those documents flag it. No likelihood percentage or grade boundary appears anywhere below. WMA12's technique-hub does not yet have a forge-forty-eight-hour-checklist.md or forge-error-pattern-tracker.md; §5 states what that means for this document's scope, honestly, rather than inventing a cross-reference to a document that doesn't exist for this paper yet.

WMA12 — Spaced Repetition Schedule (Unit 2: Pure Mathematics P2)

0. What this is, and what it deliberately doesn't repeat

This document answers one question: given WMA12's real, uneven distribution of exam coverage across its eleven taught lesson topics, how many times should a student revisit each one before the exam, and in what order? It does not re-teach content, and does not reproduce:

What it adds: an actual repetition count per taught topic, built by reading the real sightings-per-topic across the eleven SIGNAL topic briefs as the primary weighting signal, cross- checked against the one series in this archive with a full per-question mark-weight breakdown, rather than assuming every one of WMA12's eleven topics deserves the same number of passes. No other WMA12 technique-hub document does this.

1. Why repetition count should track this paper's real, uneven frequency

Three real, paper-specific facts argue against a flat schedule.

First, the eleven topics are not confirmed at anything close to the same rate. Across the archive's 20 fully-read series, Proof is individually confirmed in 8 of them — more than any other topic in this paper — while Binomial expansion is confirmed in only 2 [signal-topic-brief-proof.md; signal-topic-brief-binomial-expansion.md]. That is a four-fold spread between this paper's most- and least-frequently-confirmed compulsory topic, on the same 20-series base. A flat schedule would spend as much repetition on Binomial expansion as on Proof despite one being confirmed four times as often.

Second, frequency and mark-weight don't always move together, and this paper's one fully-mapped series shows it concretely. FORGE's independent question-by-question mapping of June 2025 [signal-frequency-and-boundaries.md Part 1] gives real marks for nine of that paper's ten questions: Stationary points and curve sketching carried 11 marks that series — the single highest of any topic in that mapping — despite being confirmed in only 4 of 20 series overall, the same raw count as Trigonometric equations (8 marks that series) and The circle (7 marks that series). Proof, this paper's single most frequent topic, carried only 4 marks in that same series — the lowest of any topic mapped. Frequency alone would not predict that a topic tied for third-highest raw frequency (Stationary points) would out-weigh a topic with double its frequency (Proof) by nearly three to one in the one series where marks can actually be counted. This schedule treats both signals as real and states, per topic in §2, which one is doing the work when they disagree.

Third, this is a paper where three of its eleven topics get no printed formula at all — a real, checkable fact about which topics carry the heaviest pure-recall burden. forge-battle-card.md's own formula masterlist confirms that Proof, The circle, and Trigonometric equations are each marked MEMORIZE with nothing on the P2 booklet page to fall back on — no proof technique, no circle equation, not even sin⁡2θ+cos⁡2θ≡1\sin^2\theta+\cos^2\theta\equiv1. By contrast, Sequences and series, Logarithms and exponentials, Binomial expansion, and the Trapezium rule all have their core formula GIVEN in the booklet [forge-battle-card.md]. Three of the four topics placed in Tier 3 below (§2) — Proof sits in Tier 1 — are exactly the topics with nothing printed to lean on, which is a real reason to schedule them for repeated recall practice regardless of where raw frequency alone would place them.

None of this licenses skipping a thin topic: every one of the eleven is compulsory spec content [WMA12-verified-facts.md §2]. What it licenses is an honest allocation of repeated practice — a topic confirmed only twice in the fully-read series has a thinner repeatable past-paper pattern to drill against than one confirmed eight times, and a topic that carries no printed formula deserves more retrieval practice than one whose formula is sitting in the candidate's hand throughout the exam.

2. The five tiers, built from the real per-topic frequency data

All eleven taught topics are placed using the frequency count each topic's own SIGNAL brief establishes — which in three cases corrects the floor signal-frequency-and-boundaries.md's own Part-1 table currently states, because that table predates a later, independent audit pass on the relevant lesson file. Each correction is named below, exactly as the topic brief itself names it.

Tier 1 — the single most frequently confirmed topic on the whole paper

Tier 2 — strong evidence: frequency of 5 or more of 20

Tier 3 — real, genuine four-way tie at frequency 4 of 20, differentiated below by a secondary signal

Tier 4 — thinner: frequency 3 of 20

Tier 5 — the single least-frequently-confirmed topic on the whole paper

3. The six-cycle schedule

This reuses the six-cycle, widening-interval pattern (Day 0, 2, 5, 10, 18, 30) already established for this course in wbs11/forge-spaced-repetition-schedule.md §3 — a scheduling convention, stated here as one, not a new cited finding. If fewer than 30 days remain, compress by dropping the latest cycles first and keep Cycle 1 and Cycle 2 intact, since Tier 5's only pass and Tier 1's first derivation both live in Cycle 1.

CycleDayTier 1 (every cycle)Tier 2 (2 passes each)Tier 3 (2 passes each)Tier 4 (2 passes each)Tier 5 (1 pass only)
10Proof — re-derive both techniques (exhaustion; counter-example) from a fresh statement, coldTrapezium rule (1st)The circle; Sequences and arithmetic series (1st each)—Binomial expansion — the only scheduled pass
22ProofLogarithms and exponentials (1st)Stationary points and curve sketching; Trigonometric equations (1st each)——
35ProofFactor and remainder theorems (1st)—Definite integrals and areas; Geometric series (1st each)—
410ProofTrapezium rule (2nd)The circle; Sequences and arithmetic series (2nd each)——
518ProofLogarithms and exponentials (2nd)Stationary points and curve sketching; Trigonometric equations (2nd each)——
630ProofFactor and remainder theorems (2nd)—Definite integrals and areas; Geometric series (2nd each)—

Reading this as repetition counts rather than a calendar: Proof gets six passes, the most of anything, matching its status as this paper's single most frequently confirmed topic. Trapezium rule, Logarithms and exponentials, and Factor and remainder theorems each get two passes. The Circle, Sequences and arithmetic series, Stationary points and curve sketching, and Trigonometric equations each get two passes. Definite integrals and areas and Geometric series each get two passes. Binomial expansion gets exactly one pass, in Cycle 1 only, and is not scheduled again inside this document — consistent with §1's reasoning: the topic with this paper's thinnest confirmed record has the least repeatable past-paper pattern to drill against beyond that one pass, though it is never dropped entirely, since it is still compulsory content that has opened a paper outright at least once.

Per-cycle load is 5, 4, 4, 4, 4, 4 topics — deliberately front-loaded by one item (Binomial's only pass) rather than perfectly flat, so that the thinnest topic is not left for a later cycle it might never reach if the available run-up compresses.

4. Judgement calls stated explicitly

The circle's frequency count is genuinely disputed between two real sources, and this schedule follows the narrower, more recently-reconciled one without hiding the wider claim. WMA12-verified-facts.md §7 states the topic "verified across at least 5 series," but the topic's own dedicated SIGNAL brief — built specifically to reconcile this paper's citations — finds only 4 named, individually-itemised anchors (Jan 2021, Jan 2023, Jun 2022, Jun 2025), and flags the broader "at least 5" claim's own sub-claim (right-angle-in-a-semicircle applications) as unconfirmed by any named series or quote anywhere else in the facts bank [signal-topic-brief-the-circle.md]. This schedule uses 4, the narrower and more recently audited figure, and states the discrepancy here rather than silently picking one.

Stationary points and curve sketching is placed in Tier 3 on frequency, but its own real evidence is arguably strong enough to argue for Tier 2 — that argument is named here rather than acted on silently. It is not on WMA12-verified-facts.md §7's own list of topics judged to have "enough verified material for a genuine standalone lesson," a list that does include every other Tier 2 and several Tier 3 topics. But its own SIGNAL brief shows the single highest per-series mark-weight of any topic on the paper (11 of 75 marks) and two thoroughly-documented, dated-2025 anchors sharing one named trap. The most likely honest explanation is timing, not thinness: the two 2025 anchors were independently primary-source-verified by the CODEX deep-dive after §7 was written, so §7's list is plausibly stale for this one topic rather than a considered judgement that it is weaker than the other eight topics it does name. This schedule leaves it in Tier 3 on the frequency count alone, rather than promoting it on a plausible-but-unconfirmed explanation for an older document's omission — but states that reasoning here so a future revision can revisit it if §7 is ever updated.

Sequences and arithmetic series' one confirmed real-world anchor may or may not appear in the one fully-mapped series at all, and this schedule does not guess. signal-frequency-and-boundaries.md's own Part 1 already flags that June 2025's Q7 was "not read this session" and that no dedicated arithmetic/geometric-series question was identified among that paper's other nine questions — "it may be folded into the unread Q7, or genuinely absent that series." Both Sequences and Geometric series are tiered on their whole-archive frequency count alone in this document, with no assumed share of that unread question's 9 marks attributed to either.

Geometric series is tiered on its narrower, dedicated-question count (3 of 20), not the looser ceiling of 5 its own topic brief also states — the same choice that brief itself prefers, and for the same reason: the two additional citations (June 2019, January 2020) are formula-confusion errors riding on a question that is not itself a geometric-series question, not a dedicated appearance of the topic [signal-topic-brief-geometric-series.md]. Unlike WMA11's equivalent judgement call over surds (where the thin topic was folded into other topics' passes rather than given its own slot), this schedule gives Geometric series its own two passes regardless, because — unlike surds — it has a real, confirmed case of standing as its own full, multi-part question worth roughly 8 marks (October 2020) rather than only ever appearing as an embedded requirement.

5. Where this document's scope ends

WMA12's technique-hub does not yet have a forge-forty-eight-hour-checklist.md or a forge-error-pattern-tracker.md of the kind that exist for WBS11/12/13, and no equivalent has been built for WMA12 at the time this document was written. That means, honestly, this schedule currently covers the whole run-up to the exam with no separate document to hand off the final 48 hours to. Until such a document exists for WMA12, treat Cycle 6 (Day 30, or the compressed final cycle under this document's own §3 compression rule) as the end of this schedule's ordered revision, and fall back on forge-exam-technique-guide.md's own exam-day material and forge-battle-card.md's top-5 danger warnings for the final approach — both already exist and are not repeated here.

6. Honesty notes

Sources used