Edexcel IAL · Mathematics · 2017 June

WFM02/01 June 2017

This Further Pure Mathematics 2 (WFM02) paper contains 8 questions worth 75 marks. The profile below reports five mark-weighted difficulty and complexity measures, and every question row repeats them. Full question text and mark scheme open in the Interactive Practice Hub.

Edexcel IAL FP2 8 questions 75 marks Free paper

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Core finding

WFM02/01 June 2017 is a past paper for Edexcel IAL Further Pure Mathematics 2 (WFM02), with 8 questions worth 75 marks. Its mark-weighted Difficulty Measure is 0.46 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.16 and a mark split of 14.7% Easy, 62.7% Medium and 22.6% Hard. Algebraic complexity averages 0.48; text density and modelling average 0.23. All five measures use 18 part-level tags, not candidate results. Every question row below repeats them and opens the Interactive Practice Hub for that question.

Difficulty & complexity profile

All five measures are mark-weighted and calculated from 18 parts carrying 75 part marks. Difficulty tags cover 18 parts, algebraic tags 18 and text-density tags 18. Tags are internal metadata, not official exam-board ratings.

Difficulty Measure 0.46 0.20–0.75 · nearer Medium

Difficulty Deviation 0.16 0 = uniform; higher = more mixed

Difficulty Ratio 14.7 / 62.7 / 22.6 % Easy / Medium / Hard

Algebraic Complexity Measure 0.48 0.20–0.75 · nearer Medium

Text Density and Modelling Measure 0.23 0.20–0.75 · nearer Low

Scale: Easy 0.20 · Medium 0.45 · Hard 0.75, and Low 0.20 · Medium 0.45 · High 0.75 for the two complexity measures. How each band is defined and how the values are calculated →

Definitions and calculation

Measure	Paper value	Formula
Difficulty Measure	0.46	Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75
Difficulty Deviation	0.16	√(Σw_i(d_i − μ)² / Σw_i)
Difficulty Ratio	14.7% Easy / 62.7% Medium / 22.6% Hard	marks in band / all tagged marks
Algebraic Complexity Measure	0.48	Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75
Text Density and Modelling Measure	0.23	Σ(t_i × marks_i) / Σmarks_i, with t = 0.20 / 0.45 / 0.75

w_i equals the part marks, except for a Hard part worth 4 or more marks, where w_i = marks^0.75 to offset the accessible starter steps inside long structured questions.

Question list

Each measure is recalculated from the parts of that question and uses the same weights as the paper profile.

Question	Topic	Marks	Difficulty Measure	Algebraic Complexity Measure	Text Density and Modelling Measure	Practice
Q1 FRQ	3. Further complex numbers	5	0.45Medium	0.45Medium	0.20Low	Go to Practice Hub
Q2 FRQ	1. Inequalities	9	0.45Medium	0.45Medium	0.20Low	Go to Practice Hub
Q3 FRQ	2. Series	6	0.41Medium	0.41Medium	0.20Low	Go to Practice Hub
Q4 FRQ	5. Second order differential equations	13	0.37Medium	0.37Medium	0.20Low	Go to Practice Hub
Q5 FRQ	6. Maclaurin and Taylor series	7	0.34Medium	0.34Medium	0.20Low	Go to Practice Hub
Q6 FRQ	4. First order differential equations	8	0.75Hard	0.75High	0.20Low	Go to Practice Hub
Q7 FRQ	7. Polar coordinates	15	0.53Medium	0.55Medium	0.37Medium	Go to Practice Hub
Q8 FRQ	3. Further complex numbers	12	0.46Medium	0.49Medium	0.20Low	Go to Practice Hub

Topics in this paper

3. Further complex numbers 1. Inequalities 2. Series 5. Second order differential equations 6. Maclaurin and Taylor series 4. First order differential equations 7. Polar coordinates

Paper FAQ

How are the difficulty and complexity measures calculated?: Each part is weighted by its official marks. Difficulty uses Easy 0.20, Medium 0.45 and Hard 0.75; algebraic complexity and text density and modelling use Low 0.20, Medium 0.45 and High 0.75. A Hard part worth 4 or more marks is down-weighted to marks^0.75, so the accessible starter steps inside a long structured question do not inflate the difficulty result. This paper's Difficulty Measure is 0.46 from 18 parts.
What does the Difficulty Deviation show?: It is the mark-weighted standard deviation of the part difficulty values around the paper mean. A value of 0 would mean every tagged part has the same difficulty; this paper's deviation is 0.16, so its parts are more mixed than a single-level paper.
Is the Difficulty Ratio based on question counts or marks?: It is based on official marks, not question counts. This paper's shares are 14.7% Easy, 62.7% Medium and 22.7% Hard; the three shares sum to 100% before rounding.
Are these official difficulty ratings?: No. They are derived from the platform's part-level difficulty and static-question-profile tags. They are not exam-board grade boundaries and are not calculated from candidate outcomes. Use them to compare the demand profile of papers, not to predict a grade.
Why does each question row show its own measures?: Each row recalculates the same mark-weighted formula from that question's parts. A single-part MCQ therefore shows the tag value directly, while a multi-part structured question blends the tags of its parts using the same Hard-part decay as the paper profile.