surname names
Number Number
Afternoon
Further Mathematics 🟐 🟐
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Candidates may use any calculator allowed 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.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes
andatcandidate
the top ofnumber.
this page with your name,
•
centre number
•
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
–Answer the questions
there may in thethan
be more space spaces
youprovided
need.
• You should show sufficient working to make your methods clear. Answers without
•
working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
••
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 4 questions.
The
– usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
•
Advice
Read each question carefully before you start to answer it.
••
Try to answer every question.
Check your answers if you have time at the end.
EDEXCEL AS LEVEL FURTHER MATHEMATICS (8FM0/24)
QUESTION PAPER 24 AND MARK SCHEME SUMMER 2025
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
DO NOT WRITE IN THIS AREA
each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
DO NOT WRITE IN THIS AREA
Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
DO NOT WRITE IN THIS AREA
2
■■■■
, Question 1 continued
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
Number Number
Afternoon
Further Mathematics 🟐 🟐
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Candidates may use any calculator allowed 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.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes
andatcandidate
the top ofnumber.
this page with your name,
•
centre number
•
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
–Answer the questions
there may in thethan
be more space spaces
youprovided
need.
• You should show sufficient working to make your methods clear. Answers without
•
working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
••
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 4 questions.
The
– usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
•
Advice
Read each question carefully before you start to answer it.
••
Try to answer every question.
Check your answers if you have time at the end.
EDEXCEL AS LEVEL FURTHER MATHEMATICS (8FM0/24)
QUESTION PAPER 24 AND MARK SCHEME SUMMER 2025
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
DO NOT WRITE IN THIS AREA
each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
DO NOT WRITE IN THIS AREA
Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
DO NOT WRITE IN THIS AREA
2
■■■■
, Question 1 continued
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
(Total for Question 1 is 6 marks)
3
■■■■ Turn over