Pure Mathematics 2

Topic frequency

How often each topic actually gets tested

Not an official Pearson weighting — Pearson doesn’t publish one for this paper. This is what this course’s own research found by reading real mark schemes and examiner reports series by series, counted honestly rather than assumed. Use it to prioritise review time, not to assume a topic near the bottom won’t appear.

Richest by series count

  • Proof — exhaustion, counter-example, and general proof

    1.1–1.3

    Individually confirmed tested in 8 of the 20 series reviewed for this course's own research (June 2019–January 2026 archive) — the highest confirmed count of any WMA12 topic. (The paper-wide frequency table this entry is built from originally logged 6; a later, independent per-topic audit found two more real anchors and this entry uses that updated count.) Don't assume it opens the paper, though — only 2 of those 8 instances actually sit at Q1, with the rest ranging as late as the paper's final question.

Also very heavily tested

  • Trapezium rule

    8.3

    Confirmed tested in 6 of the 20 series reviewed. Only 2 of those 6 carry a fully verified question number and mark total in this course's research so far — the other four are confirmed real by direct examiner-report quotation, without a surviving mark-scheme breakdown.

  • Factor and remainder theorems

    2.1

    Confirmed tested, by named series and question, in 5 of the 20 series reviewed (June 2019 through June 2025). An earlier pass had logged this as "at least 4"; a further audit named a fifth real anchor.

  • Exponentials and logarithms

    5.1–5.3

    Confirmed as a dedicated question in 5 of the 20 series reviewed — plus a sixth series (January 2025) where a logarithm appeared embedded inside a trapezium-rule question rather than as a standalone item, not counted in the headline 5.

Solidly, repeatedly tested

  • Arithmetic sequences and series

    4.1–4.3

    Confirmed tested in 4 of the 20 series reviewed, split between a flat, cheap 3-mark bookwork proof and a longer real-world context that transitions into geometric series — the latter historically one of the paper's hardest discriminating questions.

  • Trigonometric equations

    6.1–6.2

    Confirmed tested in 4 of the 20 series reviewed, three of the four from October sittings. No January series has a confirmed named citation for this topic in this course's research to date — a gap in what's been individually verified, not evidence January papers skip it.

  • Differentiation — stationary points and curve sketching

    7.1

    Confirmed tested in 4 of the 20 series reviewed, split between a compact ~7-mark find-and-classify question and a longer 10–11 mark practical optimisation question. Both confirmed optimisation instances are from 2025 series, with none found in the other 16 series checked so far.

  • The circle

    3.1

    Confirmed tested, with a fully named series and question, in 4 of the 20 series reviewed. (This course's own facts bank separately asserts "at least 5 series" for this topic, but that broader figure isn't tied to a specific named citation anywhere in this course's research, so this entry uses the stricter, individually-verified count of 4.)

Thinner, but examinable

  • Definite integrals and areas

    8.1–8.2

    Confirmed tested in 3 of the 20 series reviewed. Every one of those 3 pairs a curve with a straight line — no confirmed real WMA12 anchor for a pure two-curve area exists in this course's research yet, even though the spec names that case explicitly.

  • Geometric series, including sum to infinity

    4.4

    Confirmed as its own dedicated question in 3 of the 20 series reviewed (October 2020, January 2022, January 2024). Two further series cite geometric-series content more loosely — a named formula-confusion error, not a dedicated question — which would raise the count to 5 if counted; this entry uses the stricter, dedicated-question figure of 3.

  • Binomial expansion

    4.5

    The thinnest-confirmed WMA12 topic in this course's research: individually confirmed in 2 of the 20 series reviewed (January 2024 and June 2025), with June 2025 contributing a second paper via its regional variant — 2 series / 3 papers total, and no fourth real citation found in any source checked.