Exam (elaborations)
Edexcel AS Level Further Mathematics May-June 2024 Question Paper 22 (8fm0-22)
- Module
- Mathematics
- Institution
- PEARSON (PEARSON)
Edexcel AS Level Further Mathematics May-June 2024 Question Paper 22 (8fm0-22)
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Candidate surname Other names
Centre Number Candidate Number
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Pearson Edexcel Level 3 GCE
Friday 17 May 2024
Afternoon Paper
reference 8FM0/22
Further Mathematics
Advanced Subsidiary
Further Mathematics options
22: Further Pure Mathematics 2
(Part of option A only)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• Answer 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. Answers without
• Inexact
working may not gain full credit.
answers should be given to three significant figures unless
otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The total mark for this part of the examination is 40. There are 5 questions.
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.
Turn over
P75672A
©2024 Pearson Education Ltd.
F:1/1/1/
*P75672A0116*
, 1. (i) The table below is a Cayley table for the group G with operation °
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
° a b c d e f
a d c b a f e
b e f a b c d
c f e d c b a
d a b c d e f
e b a f e d c
f c d e f a b
(a) State which element is the identity of the group.
(1)
(b) Determine the inverse of the element (b °c)
(2)
(c) Give a reason why the set {a, b, e, f } cannot be a subgroup of G. You must
justify your answer.
(1)
(d) Show that the set {b, d, f } is a subgroup of G.
(2)
(ii) Given that H is a group with an element x of order 3 and an element y of
order 6 satisfying
yx = xy5
show that y3xy3x2 is the identity element.
(3)
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2
*P75672A0216*
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