Technique Masterclasses

Pure Mathematics 4

Mock Paper Protocol

Provenance: written 2026-09-29, against research/veridian/WMA14-verified-facts.md (read in full — §2 assessment structure, §3 formula-booklet contents, §4 mark-scheme conventions, §6 series-review breakdown, §8 flagged issues) and the standing WMA14 technique-hub documents already in this folder — forge-exam-technique-guide.md, signal-frequency-and-boundaries.md, forge-battle-card.md, codex-formula-and-method-bank.md, forge-exam-day-protocol-extended.md and forge-forty-eight-hour-checklist.md specifically (each read in full so this document does not re-derive what they already cover), plus content/veridian/question-bank/wma14.ts (237 lines, 2 real questions, both October 2024), also read in full. This is a shared, actively-written folder — the technique-hub directory grew from 25 to 33 pre-existing files during this session as concurrent batch sessions added their own WMA14 documents, so the exposure-audit grep below was re-run against the folder's state at the end of this pass, not its state at the start; §2's series table and this document's own core finding (the January 2025 series) are unaffected by that growth. A direct grep -irE series-mention audit ran against content/veridian/curriculum/wma14/*.ts (12 files) and content/veridian/technique-hub/wma14/*.md (33 files, every file that predates this one, counted at time of writing) for §3's exposure table — methodology stated there, fully reproducible, though a rerun later in this batch will likely return different counts as more sibling documents land. This pass also independently located and verified a genuine WMA14 series not named anywhere in WMA14-verified-facts.md's own series list, nor in any sibling technique-hub document checked above: January 2025 (WMA14/01, Publications Code WMA14_01_2501_MS, Question Paper Log Number P76196A), a real Pearson question paper and mark scheme carrying the PMT (Physics & Maths Tutor) watermark, held locally at /Users/neosteinhoff/Documents/SOL/Papers/IAL_Paper4_Complete/IAL_Materials/Mathematics/January_2025/ (the raw PDFs — the cover page was opened and visually checked directly this session: genuine Pearson branding, the real barcode, "Tuesday 21 January 2025", "©2025 Pearson Education Ltd.") and as a text conversion at /Users/neosteinhoff/Documents/SOL/Papers/IAL_Paper4_Complete/Master_Consolidated_Docs_U4/Mathematics_Unit4_Master_{QP,MS}.md, both read in full. This location is outside this repository — it is this machine's personal exam-archive folder, not research/veridian/ — so §2 below flags it as a gap in that other file rather than silently folding it in. No claim below about this series is estimated; every mark tariff is read directly off the real question paper's own printed (n) marks and cross-checked against the mark scheme's per-part totals, which sum to the paper's own stated 75.

WMA14 (Pure Mathematics 4) — Mock Paper Protocol

What this document is, and isn't

This is the protocol for running a real, timed WMA14 mock and self-marking it honestly — sourcing, sequencing, timing, and post-sitting audit. It does not repeat material that already exists elsewhere in this technique hub:

1. What counts as a real WMA14 mock

A WMA14 mock is a genuine past series' question paper, sat under real conditions, marked against that same series' genuine mark scheme — a real publication code on the cover (WMA14_01_...), not a retyped or "reconstructed" practice paper. A generic "Pure Maths 4 practice test" from a third-party bank doesn't carry Pearson's own M/A/B/dM1/cso/isw conventions, and self-marking against anything else teaches you to grade yourself by a system you won't be marked against on the real day.

2. The real series-availability picture

WMA14-verified-facts.md §6 states this plainly: 11 series with at least one genuine primary document reviewed — January 2021, June 2021 (provisional), June 2022, October 2022, January 2023, June 2023, October 2023, January 2024, June 2024, January 2026, plus October 2021 (examiner's report only, no mark scheme obtained). Only 4 of those have a full Examiner's Report: January 2021, October 2021, October 2022, January 2024. Only 3 have a full question paper verified in that file: June 2022, October 2022, January 2026.

SeriesMark schemeExaminer reportFull question paperNotes
January 2021yesyesnot confirmed in facts bank
June 2021yes (provisional)nonodisrupted-assessment series, per facts bank §6 — treat with caution as a standard-conditions mock
October 2021not obtainedyesnoreport-only; cannot self-mark this series from this course's own material without sourcing a mark scheme independently
June 2022yesnot reviewedyes (9 questions)
October 2022yesyesyes (11 questions)
January 2023yesnot reviewednot confirmed
June 2023yesnot reviewednot confirmed
October 2023yesnot reviewednot confirmed
January 2024yesyesnot confirmed
June 2024yesnot reviewednot confirmed
October 2024yes (independently re-verified)yesyesfull QP+MS+ER fetched directly for question-bank/wma14.ts; cited extensively in facts-bank §5 but absent from §6's own 11-series list — an inconsistency in that source document, flagged there by signal-frequency-and-boundaries.md §3 and repeated here rather than resolved
January 2026yesnot yet publishedyes (9 questions)most recent series in the facts bank
January 2025yesnot found — likely not yet publishedyes (9 questions)not in the facts bank at all — see below

"Not confirmed" means this course's own facts bank does not state a full question paper was obtained for that series — it does not mean Pearson never published one. If you can source the real question paper yourself (Pearson's own past-papers portal, or a checked mirror such as PMT) for January 2023, June 2023, October 2023 or June 2024, you can still self-mark it against the mark-scheme wording this course's research already verified.

A genuinely new series found this session: January 2025

No document in this course's WMA14 research — not the facts bank, not FORGE, not SIGNAL, not the battle card — names January 2025 (WMA14/01, Publications Code WMA14_01_2501_MS, Question Paper P76196A). It exists as a real Pearson PDF pair (question paper and mark scheme; no examiner's report found alongside it, matching the same publication-lag pattern already documented for January 2026) in this machine's personal exam-archive at the path given in the provenance note above — not inside this repository. That is itself worth flagging plainly: this is a real, usable mock paper this course's own verified-facts document doesn't yet know about.

Its full structure, read directly off the real paper and cross-checked against the real mark scheme's own per-part totals (they sum to 75, matching the cover page):

QTopicMarksCalculator-tech rubric printed?
1Volume of revolution (rational curve about the x-axis, substitution u=x+2u=x+2)5yes
2Implicit differentiation; exact tangent gradient at a named point8 (6+2)no
3Binomial expansion, rational nn — find constants, validity range, one coefficient8 (5+1+2)no
4(i) connected rates of change, spherical balloon; (ii) separable DE, water depth in a cave10 (4+6)yes
5(i) integration by parts, ∫x2e4xdx\int x^2e^{4x}dx; (ii) partial fractions then integration, "show that" target10 (4+6)no
6Proof by contradiction — "if n2−4n+5n^2-4n+5 is even then nn is odd"4no
7Integration by substitution, x=4sin⁡θx=4\sin\theta6yes
8Vectors — unknown coordinates, AB→\overrightarrow{AB}, angle CABCAB, a point splitting a triangle's area in a 2:1 ratio12 (2+2+4+4)no
9Parametric differentiation, tangent equation, algebraic re-intersection with the curve12 (6+6)yes

Two things worth reading directly from this table, both new evidence rather than restated evidence:

This finding is not reflected in WMA14-verified-facts.md, which should be updated in a future research pass to add this series properly (with its own topic-by-topic citations) rather than left standing only in this protocol document — flagged here, not silently fixed, matching this course's own stated practice for the Oct 2024/§6 inconsistency above.

3. Choosing which series to sit, and in what order

A mock only measures live performance if you sit it cold. This pass ran the same reproducible check as the WMA13 protocol: grep -irE for each series' month/year (abbreviated and full) across the 12 files in content/veridian/curriculum/wma14/*.ts and separately across the 33 files in content/veridian/technique-hub/wma14/*.md that predate this one (counted at time of writing — see the provenance note above on this being a shared, growing folder).

SeriesCurriculum mentionsTechnique-hub mentionsCombined
January 2025000
January 2023033
June 2021033
June 2023066
October 2023066
June 20246814
October 2024197796
June 20222180101
January 202647179226
January 202458182240
October 202273189262
October 202195204299
January 202190227317

Read this as a proxy, not a precise measure — a raw substring count picks up a passing citation the same way it picks up a full worked exemplar, and the technique-hub side of this count will keep climbing as more of this batch's sibling documents land in the same shared folder. It is, however, real and reproducible at any given moment: re-run the same grep over the same files and you get the same numbers for that moment.

January 2025 has zero exposure anywhere in this course's own WMA14 material — sit that one first, while it is provably unspoiled, using the topic breakdown in §2 above only to check you've covered every spec point, never to preview the actual questions. After that, June 2021, January 2023, June 2023 and October 2023 are the next-least-exposed — but per the table in §2, this course's own archive holds only mark schemes for the January/June/October 2023 series and only a provisional mark scheme for June 2021 (itself flagged as a disrupted-assessment series), so sitting any of those as a timed mock means sourcing the real question paper yourself first.

Save January 2021, October 2021, October 2022, January 2024 and January 2026 for open-book review or re-marking practice rather than a blind timed sitting — every one of them now exceeds 220 combined mentions across this course's own lessons and technique-hub documents, and January 2021 and October 2021 specifically exceed 295 each.

One specific exception: October 2024's Q1 and Q2 are reproduced as complete, fully marked-up real questions — question text, mark scheme, and examiner-report commentary — in content/veridian/question-bank/wma14.ts. If you've drilled that file, those two questions specifically are spent for cold-sitting purposes regardless of the series' own exposure score; the rest of that paper (marks 3–9, if fully sourced) is unaffected.

4. Before you start: replicate the real conditions

Grounded directly in WMA14-verified-facts.md §2–§3, independently confirmed on the real January 2025 cover page read this session:

5. Timing the sitting

forge-exam-technique-guide.md §1 already gives the real planning average — 1.2 minutes per mark — and the caution that it's the wrong tool alone, since question count and per-question tariff both vary. The January 2025 paper is fresh, real evidence for exactly that caution: a 4-mark proof question (Q6) sits on the same script as two 12-mark questions (Q8, Q9) — a 3× spread the flat average hides completely. Don't re-derive the tariff table here; use it, and read the sat paper's own printed marks before committing to a plan.

What's specific to a mock rather than exam day is generating your own timing data to audit afterward:

  1. Before starting, write your own per-question time budget in the margin, using each question's own printed tariff × 1.2 minutes, as a running cumulative clock time ("Q1 by 0:06, Q2 by 0:16…") rather than a countdown — a glance at a wall clock then tells you instantly whether you're ahead or behind.
  2. Check the clock only at question boundaries. A mid-question glance measures anxiety; a between-question glance produces the number §7 below actually needs.
  3. No per-question alarm. The real exam has no bell between questions; an alarm trains a reflex the exam doesn't reward.
  4. If a question is running well past its budget, note where you are and decide deliberately — at the next boundary, not mid-question — whether to push on or move on.

6. The moment time is called

7. Self-marking honestly

forge-exam-technique-guide.md §2 already defines M/A/B, dM1, cso, isw, ft and "quote the formula first" in full, with verbatim sourcing — this section is the order of operations for applying those definitions to your own script without quietly being generous to yourself.

  1. Mark every M line first, straight through the whole script, before any A mark. A marks cannot stand without their M mark — marking A first on a line that "looks about right" risks crediting an answer you recognise rather than checking the method mark it actually depends on.
  2. For a dM1 line, count how many independent method marks genuinely precede it in your own script — don't assume the depth from a different question. A dependent mark is a distinct, separately-checkable stage, not folded into the mark before it.
  3. Check the whole line for a cso mark, not just the final number. The convention is explicit: no errors anywhere in that part of the question — a correct final value reached via a script with an earlier slip doesn't earn a cso mark just because the number is right.
  4. Know the difference between a genuine misread and an incomplete method — they're marked differently, and self-marking that conflates them is either too harsh or too generous. The general misread rule (facts bank §4): for a misread that doesn't change the character of the question, deduct two from the A/B marks gained in the affected part, not the whole part — forge-exam-technique-guide.md §2 already cites the real anchor for this (October 2024 Q1, a misread binomial-index sign, capped at B1M1A0A0 rather than 0/4). That is a different failure mode from an incomplete method: October 2024 Q1(b)'s own commonWrongPath in question-bank/wma14.ts shows a candidate who correctly substitutes into their expansion but never takes the required reciprocal — that scores M0 because the method itself was never finished, not because anything was misread, and it costs only the two marks in that part; the independent B1/M1/A1/A1 already earned in part (a) stand untouched either way.
  5. Two tiers of "what to do with crossed-out work" both apply, and they're complementary, not contradictory. The maths-specific rule (facts bank §4): if all but one attempt is crossed out, mark the one that isn't; if all or none are crossed out, mark every attempt and keep the best. Independently, the January 2025 mark scheme's own general marking guidance states the same underlying default from the other direction — crossed-out work still gets marked unless you've actually replaced it with something else. Read together: never assume crossing something out erases it from consideration unless a real replacement stands in its place.
  6. Re-check every rubric-flagged question against what your script actually shows, not what you know is true. If a question carried the calculator-technology-banned rubric (§4 above), any mark chained to a step your script shows only as a bald final value is wrong regardless of whether the value itself is correct — this is exactly what the real October 2024 Q2 mark scheme does: a calculator-only jump to the roots scores M0, and the mark scheme states plainly that "if the roots are just stated then M0A0 follows." This is the easiest place to over-credit yourself, because you already know your number is right.
  7. Keep exact values exact. Facts bank §4, verbatim: marks are "normally lost" where the candidate "resorts to using rounded decimals" and an exact or surd answer was required — independent of whether the method itself was right.
  8. Don't penalise yourself for skipping working that could genuinely be done in your head — but treat this as a narrow, named exception (facts bank §4), not a general licence. Most real scripts show working; an "occasional awkward case" is exactly that, occasional.

For topic-specific traps on the actual spec areas your sat paper tested, use forge-exam-technique-guide.md §3's checklist boxes and codex-formula-and-method-bank.md Part 2's method skeletons — don't re-diagnose from scratch what's already named there.

8. What to check first, before you trust a total

Mark the whole script (§7), then audit in this order:

  1. Write your score question-by-question, not just a final total. A single number hides whether marks were lost in one place or spread across the paper.
  2. Check forge-battle-card.md §4's ranked top-5 danger list, in its existing rank order, for every question you dropped marks on. That ranking is built from how many independent topics/series each pattern is confirmed across, so it is already the cheapest, highest-yield check to run first — don't build a new ranking here.
  3. Only then, check forge-exam-technique-guide.md §3's topic-specific checklist for the actual spec areas your sat paper tested.
  4. Calibrate the resulting total against real grade boundaries only if you find a primary Pearson boundary document yourself. signal-frequency-and-boundaries.md §2 confirms none exists anywhere in this course's own WMA14 research — do not estimate one, and do not treat a single mock's raw score as more precise than that gap allows.
  5. Cross-check your §5 timing log against where marks were actually lost. A question you ran well over budget on and also lost marks on points at a pacing problem; a question finished on time that still lost marks points at a technique gap §8.2–8.3 should already have caught.

9. Logging the result

Keep this minimal and consistent across mocks. Per mock, record:

A single occurrence of a pattern is not yet evidence of anything; the same pattern recurring across two or more separate mocks is real, specific evidence about where revision should go next.

Flagged gaps

Sources

Not affiliated with or endorsed by Pearson Edexcel. Every quoted fragment above is under fifteen words with its own attribution; all else is paraphrase or this course's own synthesis of material verified against a named primary or previously-verified source.