Edexcel A Level Further Mathematics Paper 4B 2026 Question Paper (PDF)

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Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Monday 22 June 2026
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4B
Further Mathematics
 


Advanced
PAPER 4B: Further Statistics 2

You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator



Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.

• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,

• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are

• – there may
labelled.
Answer the questions in the spaces provided

• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.

• tables the value should be given
may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of

•Information
to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.

•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.

•
are 7 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.

• Check your answers if you have time at the end.
Try to answer every question.
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,1. A farmer is modelling the relationship between the amount of nitrogen applied to wheat
and the percentage of protein in the wheat at harvest.




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A sample of 12 fields of wheat is taken at harvest and the amount of nitrogen applied
to the wheat, x kg/hectare, and the percentage of protein in the wheat at harvest, y, are
both recorded.
Some summary statistics are given below.


x  1700
y  140.1
y 2
1646.45   Sxx = 41 366.67   Sxy = 597.5

(a) Find the product moment correlation coefficient between x and y
(3)
(b) Explain whether the answer to part (a) is consistent with a linear model for
these data.
(1)
The farmer wants to increase the percentage of protein in the wheat at harvest, y, by 2
Estimate the amount of additional nitrogen that should be applied.
(3)
Three possible lines are proposed to model the data. The table shows some summary
statistics for each of the lines.

Residual sum of
Line Sum of residuals
squares (RSS)

A 0 4.03

B –0.2 2.15

C 0 2.15


One of the lines is the correct linear regression line for these data.
(d) State which of line A or line B or line C is the correct linear regression line for
these data.
Give a reason for your answer.
(2)
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