surname names
Number Number
Afternoon
Further Mathematics
� �
Advanced Subsidiary
Further Mathematics options
22: Further Pure Mathematics 2
(Part of option A 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
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.
• Inexact answers should be given to three significant figures unless otherwise stated.
• The total mark for this part of the examination is 40. There are 5 questions.
– 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. Turn over
,1. In this question you must show all stages of your working.
Solutions based entirely on calculator technology are not acceptable.
(i) (a) Use the Euclidean algorithm to determine the highest common factor h of
105 and 24
(3)
(b) Hence determine integers a and b such that
105a + 24b = h
(3)
5
(ii) Determine the remainder when 179 is divided by 11
(2)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
Number Number
Afternoon
Further Mathematics
� �
Advanced Subsidiary
Further Mathematics options
22: Further Pure Mathematics 2
(Part of option A 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
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.
• Inexact answers should be given to three significant figures unless otherwise stated.
• The total mark for this part of the examination is 40. There are 5 questions.
– 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. Turn over
,1. In this question you must show all stages of your working.
Solutions based entirely on calculator technology are not acceptable.
(i) (a) Use the Euclidean algorithm to determine the highest common factor h of
105 and 24
(3)
(b) Hence determine integers a and b such that
105a + 24b = h
(3)
5
(ii) Determine the remainder when 179 is divided by 11
(2)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
