2024 PEARSON EDEXCEL GCE A LEVEL FURTHER MATHEMATICS 9FMO/4A PAPER 4A MERGED QUESTION
PAPER AND MARKING SCHEME
Candidate surname Other names
Centre Number Candidate Number
Further Mathematics
■ ■
Advanced
PAPER 4A: Further Pure Mathematics 2
Marks
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.
• 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, centre number and
• Answer
candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P72800A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
DO NOT WRITE IN THIS AREA
2180 (mod 23)
(4)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
■■■■
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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Question 1 continued
(Total for Question 1 is 4 marks)
3
Turn over
, 2. Determine a closed form for the recurrence system
u1 = 4 u2 = 6
DO NOT WRITE IN THIS AREA
un + 2 = 6un+1 − 9un (n = 1, 2, 3,)
(5)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
■■■■
PAPER AND MARKING SCHEME
Candidate surname Other names
Centre Number Candidate Number
Further Mathematics
■ ■
Advanced
PAPER 4A: Further Pure Mathematics 2
Marks
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.
• 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, centre number and
• Answer
candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P72800A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
DO NOT WRITE IN THIS AREA
2180 (mod 23)
(4)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
■■■■
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
■■■■
Question 1 continued
(Total for Question 1 is 4 marks)
3
Turn over
, 2. Determine a closed form for the recurrence system
u1 = 4 u2 = 6
DO NOT WRITE IN THIS AREA
un + 2 = 6un+1 − 9un (n = 1, 2, 3,)
(5)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
■■■■
