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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 8 questions in this question paper. The total mark for this paper is 75.
– 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.
• Check your answers if you have time at the end. Turn over
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
2180 (mod 23)
(4)
,Question 1 continued
(Total for Question 1 is 4 marks)
, 2. Determine a closed form for the recurrence system
u1 4 u2 6
un 2 6un1 9un (n 1, 2, 3,)
(5)
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 8 questions in this question paper. The total mark for this paper is 75.
– 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.
• Check your answers if you have time at the end. Turn over
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
2180 (mod 23)
(4)
,Question 1 continued
(Total for Question 1 is 4 marks)
, 2. Determine a closed form for the recurrence system
u1 4 u2 6
un 2 6un1 9un (n 1, 2, 3,)
(5)
