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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 22: Further Pure Mathematics 2 (Part of option A only) QP MAY 2024 £10.35
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 22: Further Pure Mathematics 2 (Part of option A only) QP MAY 2024
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 22: Further
Pure Mathematics 2 (Part of option A only) QP MAY 2024
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 22: Further
Pure Mathematics 2 (Part of option A only) QP MAY 2024
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
•• 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,
• Answer
centre number and 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. 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.
– usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
•• Read
Try
each question carefully before you start to answer it.
Check answer
to every question.
your answers if you have time at the end.
Turn over
,1. (i) The table below is a Cayley table for the group G with operation °
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)
DO NOT WRITE IN THIS AREA
(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) 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
3
Turn over
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