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2017 specification

WJEC A-level Further Mathematics

Specification

AS

Units 1–3 First sat 2018 · fullUMS = raw mark needed to reach the maximum UMS for that paper

Unit 1 Further Pure A5 papers · 7 packs

2024
fullUMS47 A37 B32 C27 D22 E17 /70
2023
fullUMS47 A37 B32 C27 D22 E18 /70
2022
fullUMS48 A38 B33 C28 D23 E18 /70
2019
fullUMS56 A44 B38 C33 D28 E23 /70
2018
fullUMS57 A45 B39 C34 D29 E24 /70

Topic question packs

NEW

Hand-sorted from the legacy FP1 papers (2008-spec WJEC modular FM, 2005–2017) into seven narrow single-topic packs across the four examinable 2017-spec Unit 1 sub-topics (2.1.1 Induction, 2.1.2 Complex Numbers, 2.1.3 Matrices, 2.1.4 Algebra & Series). Induction is split into series-sum proofs vs the remainder (divisibility, recursive sequences, matrix powers); Matrices is split into $3{\times}3$ operations vs 2D transformations; Algebra & Series is split into Vieta’s relations (roots of polynomials) vs standard $\Sigma$-sums + method of differences. The new spec also lists Further Vectors (3-D lines, planes, scalar product, perpendicular distances — 2.1.5) and complex-number loci / w = f(z) transformations under 2.1.2, but FP1 contained no 3-D vector questions and zero loci work, so those sub-topics have no legacy practice and are covered in the crib sheets instead. The $3{\times}3$ matrices pack actually maps onto Unit 4 (2.4.3) in the 2017 spec — Unit 1 keeps $2{\times}2$ inverses + 2D/3D transformations — but the algebraic technique is identical, so this pack doubles as Unit 4 practice. 2D transformations (pack T5) was the sparsest legacy topic with only 2 questions across the whole FP1 corpus.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

Unit 2 Further Statistics A5 papers · 5 packs

2024
fullUMS52 A40 B34 C28 D22 E16 /70
2023
fullUMS43 A33 B28 C23 D19 E15 /70
2022
fullUMS51 A39 B33 C28 D23 E18 /70
2019
fullUMS56 A44 B38 C33 D28 E23 /70
2018
fullUMS56 A44 B38 C33 D28 E23 /70

Topic question packs

NEW

Hand-sorted from the legacy S2 and S3 papers (2008-spec WJEC modular FM, 2005–2017) into five narrow single-topic packs across the two examinable 2017-spec Unit 2 sub-topics (2.2.1 Random Variables / Poisson / Continuous RVs, 2.2.2 Regression / Correlation / Chi-Squared). The old "Random Variables & Linear Combinations" pack is split into discrete RV + sampling-distribution work (T1, from S3) versus pure linear-combinations problems on $U = XY$ (T2, from S2). Poisson (T3) and Continuous Uniform RVs (T4) keep their corpus but get tighter names. Linear Regression (T5) stands alone. The new-spec exponential distribution (2.2.1) had no legacy assessment in S2 / S3 and is documented in the T4 crib sheet only. Likewise, the new-spec Pearson product-moment, Spearman rank correlation, and chi-squared goodness-of-fit / contingency-table tests (all under 2.2.2) had zero questions in the legacy S3 corpus and are covered in the T5 crib sheet only — no separate question pack exists for them yet.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

Unit 3 Further Mechanics A5 papers · 6 packs

2024
fullUMS54 A40 B33 C26 D19 E12 /70
2023
fullUMS39 A29 B24 C19 D14 E10 /70
2022
fullUMS46 A34 B28 C23 D18 E13 /70
2019
fullUMS53 A41 B35 C29 D23 E17 /70
2018
fullUMS46 A36 B31 C26 D21 E16 /70

Topic question packs

NEW

Hand-sorted from the legacy M2 and M3 papers (2008-spec WJEC modular FM, 2005–2017) and split into six narrow single-topic packs. 2017 spec 2.3.1 restricts momentum & impulse to the one-dimensional case — oblique / two-dimensional collisions live in the optional Unit 6 (2.6.2), not here. Topic 2 (Work, Energy & Power) covers KE / GPE / EPE conservation; Topic 3 isolates the pure Hooke’s-law statics (modulus calc and EPE at rest). Circular motion (2.3.3) splits into Topic 4 (horizontal circle, conical pendulum, banked tracks) and Topic 5 (vertical circles — complete-revolution conditions for strings vs rods, sphere problems). Topic 6 covers 2.3.4 (differentiation and integration of vectors in 2-D and 3-D, including relative motion and shortest-distance problems). Note: every legacy M2 W/E/P question is tied to elastic strings — pure W/E/P without elasticity is taught in Maths AS Unit 2.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

A2

Units 4–6 First sat 2019 · Units 5 & 6 optional · A* = raw mark for 90% UMS (per-unit A* contribution)

Unit 4 Further Pure B4 papers · 10 packs

2024
A*97 A85 B69 C54 D39 E24 /120
2023
A*78 A65 B54 C44 D34 E24 /120
2022
A*77 A57 B41 C26 D18 E10 /120
2019
A*97 A93 B79 C65 D52 E39 /120

Topic question packs

NEW

Hand-sorted from the legacy FP1, FP2, FP3 and M3 papers (2008-spec WJEC modular FM, 2005–2017) onto the 2017-spec Unit 4 topics. Unit 4 is the 120-mark A2 paper worth 35% of the qualification, covering 2.4.1–2.4.8. 2.4.1 (De Moivre, e^{iθ}, nth roots) and 2.4.2 (further trigonometry, t-formula, sum-to-product) come from FP2. 2.4.3 (3×3 matrix inverses, simultaneous-equation systems, geometric interpretation) sources from FP1. 2.4.4 is split into two single-topic packs: T4 Maclaurin / Taylor series (FP3) and T5 further partial fractions (FP2). 2.4.5 (further calculus — improper integrals, volumes of revolution, inverse-trig integration), 2.4.6 (polar coordinates) and 2.4.7 (hyperbolic functions) span FP2 and FP3. 2.4.8 (differential equations — integrating factor, auxiliary equation, CF + PI, coupled 1st-order systems) is sourced from legacy M3 because legacy FP2 / FP3 contained no DE work; the spec excludes mechanics contexts, but the algebraic technique is the same and the practice transfers directly.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

Unit 5 Further Statistics B (optional)4 papers · 6 packs

2024
A*63 A58 B49 C40 D31 E22 /80
2023
A*54 A47 B40 C34 D28 E22 /80
2022
A*52 A39 B29 C19 D13 E7 /80
2019
A*63 A61 B54 C48 D42 E36 /80

Topic question packs

NEW

Hand-sorted from the legacy S2 and S3 papers (2008-spec WJEC modular FM, 2005–2017) into six narrow single-topic packs across the four examinable 2017-spec Unit 5 sub-topics (2.5.1–2.5.4). The old “Hypothesis Testing” pack is split into one-sample (T3, $z$- and $t$-tests on one mean) and two-sample / difference-of-means (T4). The old “Confidence Intervals & Estimation” pack is split into single-mean CIs (T5, normal and $t$) and large-sample CIs for proportions + difference of means (T6). T1 (2.5.1) keeps the merged sampling-distribution + unbiased-estimators content because every legacy S3 question is framed as “construct an unbiased estimator for parameter X using a sample” — the $\bar X$ sampling-distribution result and estimator theory are inseparable in the corpus. Mann-Whitney and Wilcoxon signed-rank tests are new in the 2017 spec and were not assessed in legacy S2 / S3, so they appear in the T3 crib sheet only. Correlation / regression / chi-squared sit in Unit 2 (2.2.2), not here.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

Unit 6 Further Mechanics B (optional)4 papers · 6 packs

2024
A*61 A57 B47 C37 D27 E18 /80
2023
A*50 A43 B36 C30 D24 E18 /80
2022
A*48 A35 B26 C17 D12 E7 /80
2019
A*61 A59 B52 C45 D38 E31 /80

Topic question packs

NEW

Hand-sorted from the legacy M2 and M3 papers (2008-spec WJEC modular FM, 2005–2017) and split into six narrow single-topic packs. T1 covers 2.6.1 (rectilinear motion with variable forces — acceleration / velocity as a function of t, x or v). T2 covers 2.6.2 (vector momentum and impulse in two dimensions, including oblique collisions). T3 isolates moments, frameworks and rigid-body equilibrium (rods on pegs, hinged planks, non-uniform body COM via moments). T4 covers ladders + coplanar-force equilibrium (2.6.4). T5 is pure SHM (2.6.5 — amplitude, period, energy, spring-mass models), separated from T6, which holds the small set of 2nd-order linear DE questions (CF + PI technique, kitchen-scales damping model). Uniform-lamina COM questions (triangles, rectangles, semicircles) lived in legacy M1 which is not in this source set, so the rigid-body / lamina techniques sit in the T3 crib sheet rather than as a standalone pack. Variable-mass problems (rockets, raindrops) are absent from the legacy M2/M3 corpus.

Source questions © WJEC CBAC Ltd. Pack layout for revision purposes only.

More past papers

PMT & old spec

PMT collates WJEC Further Maths past papers including 2022–2024 sittings:

For pre-2017 papers, Jack Tilson's archive covers the old specification:

Stuff that helped me revise Calculators, books, flashcards · affiliate links
Casio FX-991EX calculator
Casio FX-991EX

The non-negotiable. If you're walking into a Further Maths paper without one, good luck.

Casio FX-CG50 Graphical Calculator
Casio FX-CG50 Graphical

Pricier but worth it for Further Maths — sketches anything, including polar curves. Free marks.

Edexcel Further Maths Revision Guide
Edexcel Further Maths Revision Guide

Not WJEC, but the topics overlap enough to be useful for the pure and applied content.

Pukka Pad A4 Squared
Pukka Pad A4 Squared (x3)

The GOAT notebook for maths. The squares come through.

Helix Maths Set
Helix Maths Set

More reliable than the one they hand out in the exam.

Oxford Revision Cards
Oxford Revision Cards

Physical flashcards with Scribzee scanning so you can use them on the app too.

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