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
Graph transformations described in words (translations, stretches, applied to a curve or sketch)
1.12Seen in 4 of 5 fully-read series (Jan 2019, Oct 2020, Oct 2021, Jan 2023) — the most consistently tested Algebra & Functions sub-topic on this paper. Every confirmed mark is a B mark with no method credit: only 1 of the 3 fully-mined anchors actually asks for a worded description, the other two ask for exact transformed coordinates read off a sketch.
Also very heavily tested
Sector area and arc length
3.2Seen in 3 of 5 fully-read series (Jan 2023, Oct 2020, Oct 2021), every single instance a 10-mark composite question — on the one series with a full mark-weight reconstruction, this one question carries more than two-thirds of the paper's entire Trigonometry allocation. Always embedded in a named real-world object (a stage, sign, or badge) and always pairs the sector formulas with the sine/cosine-rule toolkit.
Trig graphs: period and domain
3.3Seen in 3 of 5 fully-read series (Jan 2019, Oct 2021, Jan 2023) — 3 of 9 series touched overall. Marks are small and method-free (B marks only, reading a period, coordinate or value off an already-drawn figure); on the one series with a full mark-weight reconstruction, this topic's confirmed contribution was just 1 of 75 marks, the smallest single-topic figure there.
Solidly, repeatedly tested
Cubic graph sketching from factored form
1.10/1.11Seen in 2 of 5 fully-read series (Oct 2021, Jan 2023), each time a low-tariff (2–3 mark) opening sub-part of a longer question that pivots into expansion and differentiation. Both confirmed cubics are positive and built from linear factors only; the two anchors test opposite directions of the skill — generating a sketch from factors, and reading a solution set off one already drawn.
Differentiating negative and fractional indices
4 (Differentiation)Seen in 2 of 5 fully-read series (Jan 2023, Jan 2025), each time a short (2–5 mark) step that rewrites a root or reciprocal term as a power before differentiating, then uses the result for a further exact-value step. Both confirmed appearances document the same two traps: an unneeded '+ c' tacked onto the derivative, and the negative- or fractional-power term specifically mishandled.
Discriminant with a parameter
1.4Seen in 2 of 5 fully-read series (Jan 2019, Jan 2023), both using the 'no real roots' case specifically rather than the spec's other two framings. Tariff swings between a short ~4-mark question with the quadratic already given (Jan 2023) and a longer ~7-mark question where a quadratic must first be built from a fractional equation (Jan 2019).
Hidden higher-degree equations from differentiation
4.2 (via 4.1/4.3)Seen in 2 of 5 fully-read series (Oct 2021, Jan 2025) — differentiate, set the result equal to a target, and end up with a quartic that is really a disguised quadratic in x². The two confirmed appearances disagree on whether the domain is restricted: Jan 2025 states 'x > 0' up front and penalises keeping both signs, Oct 2021 does not restrict at all.
Hidden quadratic substitution
1.1/1.5/1.6Seen in 2 of 5 fully-read series (Jan 2023, Jan 2025), both an exponential substitution (p = aˣ); a third, independently verified sighting (Oct 2019 Q8) uses a root substitution (√x) instead — a genuinely different flavour with its own trap set, so the honest total is 'at least 3 confirmed sightings,' not a clean N of 5. The single most-confirmed failure across both flavours is solving the substituted variable and stopping, never converting back to x.
Perpendicularity proofs and coordinate geometry
2.1, 2.2Seen in 2 of 5 fully-read series (Jan 2023, Oct 2020) — the thinnest-tested whole strand on this paper (coordinate geometry has only 2 spec sub-points against 12 for algebra and functions). Both confirmed appearances carry a 5-mark tariff, one framed as a proof requiring an explicit closing conclusion, one as a construction identifying which point the diagram actually guarantees a right angle at.
Quadratic and reciprocal inequalities, interpreted graphically
1.7–1.9Seen in 2 of 5 fully-read series (Jan 2019, Oct 2021) for the specific skill of stating the inequalities defining a region bounded by a line and a quadratic curve on a sketch — narrower than the paper-wide table, which lumps this in with an unrelated reciprocal-inequality question on the same Oct 2021 paper. Both confirmed sightings are worth exactly 3 marks in an identical B1/M1/A1 shape.
Simultaneous equations by substitution
1.6Seen in 2 of 5 fully-read series (Jan 2019, Jan 2023) by this topic's own brief, which broadens the paper-wide table's narrower '1 of 5' by including a curve-meets-curve pairing (Jan 2019 Q11) the table's stricter line-meets-curve definition excludes. Counting every series touched at any depth, the topic was seen in 3 of 7 — and in 3 of its 4 real sightings, it is disguised inside a differently-titled question, not announced as 'solve these equations.'
Thinner, but examinable
Quadratic functions (graphs, turning points, completing the square, solving)
1.3, 1.5Not confirmed as its own standalone question in any of the 5 fully-read series — this core mechanical skill instead turns up constantly as an embedded sub-step inside other question types (discriminant, hidden-substitution, simultaneous equations), already counted under those topics. One further sighting outside the 5-series base (Jun 2022 Q5(a)) shows the reverse skill — reconstructing f(x) from a turning point and a root — with candidates naming the right quadratic form but forgetting to solve for the leading multiplier.
Integrate twice, find two constants
4.1/5.1/5.2The specific two-condition, two-constant structure (integrate f″(x) twice, one gradient fact and one point fact) is confirmed in only 1 of 5 fully-read series (Jan 2023 Q11(b), 6 marks). A narrower single-integration, single-constant sibling is confirmed twice more (Oct 2021, Jan 2025) but is a genuinely shorter, shallower skill — the honest count for the full two-constant structure specifically stays at 1 of 5, not 3.
Sine and cosine rules: the ambiguous case
3.1Confirmed in only 1 of 5 fully-read series (Jan 2019 Q7(a), 3 marks) with a full mark-scheme breakdown; a second sighting (Jun 2022 Q2) is real but recorded only as a one-line note, giving 2 of 9 series touched overall. The one fully-documented trap: candidates reach the correct acute angle and stop, worth 2 of 3 marks rather than 0, never finding the required obtuse angle.
Splitting an algebraic fraction before integrating
5.1, 5.2Confirmed in only 1 of 5 fully-read series (Jan 2023 Q3, 5 marks) — a multi-term numerator over a monomial denominator, split into separate power-of-x terms before integrating. The mark scheme credits the integration step even off a wrong split, so the two examiner-documented failure modes are distinct: not recognising the split at all, and trying to integrate the un-split fraction's pieces before dividing.
Surds manipulation and exact answers
1.2The thinnest-evidenced topic in this table: a systematic grep of 17 locally-held WMA11 series found only 1 dedicated appearance (Summer 2024 Q2(ii), 3 of 6 marks). Surds show up far more often as an exactness constraint bolted onto a differentiation, discriminant, or hidden-quadratic question's final answer than as their own dedicated question — the one repeatedly confirmed trap, across two separate spec strands, is a correct final surd marked down for no shown intermediate combining step.
The derivative as a limit
4.1A standalone question asking for the limit definition or differentiation 'from first principles' is confirmed in 0 of 5 fully-read series. Every confirmed appearance of f′(x) or f″(x) on this paper treats it as a plain algebraic object produced by the ordinary power rule and put to further work (evaluated, solved, built into a tangent, integrated back up) — never as the thing being defined.