Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Award
Tuesday 25 June 2024
Afternoon (Time: 3 hours) Paper
reference 9811/01
Advanced Extension Award
Mathematics
You must have: Total Marks
Mathematical Formulae and Statistical Tables
An insert for questions 5, 6 and 7 (enclosed)
Instructions
•• Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name,
centre number and candidate number.
•• Answer all questions.
Answer the questions in the spaces provided
– there may be more space than you need.
•• Calculators may not be used.
You must show all your working.
• Answers should be given in as simple a form as possible, e.g.
2π
3
, 2, 3 2 .
Information
• The total mark for this paper is 100 of which 7 marks are for style and clarity of
presentation.
•• The style and clarity of presentation marks will be indicated as (+S1) or (+S2).
There are 7 questions in this question paper.
•• The marks for each question are shown in brackets.
The total mark for each question is shown at the end of the question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P72907A
©2024 Pearson Education Ltd.
F:1/1/1/
*P72907A0132*
,1. In the binomial expansion of
1
1 8 x
p
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x
8
where p is a positive constant,
• the sum of the coefficient of x and the coefficient of x 2 is equal to the
coefficient of x 3
• the coefficient of x 2 is positive
Determine the value of p.
(7)
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2
*P72907A0232*
, Question 1 continued
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(Total for Question 1 is 7 marks)
3
*P72907A0332* Turn over
, 2.
y
2
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O x
–2 2
–5
Figure 1
Figure 1 shows the curve defined by the equation
y 2 3 y
6 sin y
4
x 2
The point P(x, y) lies on the curve.
The distance from the origin, O, to P is D.
(a) Write down an equation for D 2 in terms of y only.
(1)
(b) Hence determine the minimum value of D giving your answer in simplest form.
(5)
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4
*P72907A0432*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Award
Tuesday 25 June 2024
Afternoon (Time: 3 hours) Paper
reference 9811/01
Advanced Extension Award
Mathematics
You must have: Total Marks
Mathematical Formulae and Statistical Tables
An insert for questions 5, 6 and 7 (enclosed)
Instructions
•• Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name,
centre number and candidate number.
•• Answer all questions.
Answer the questions in the spaces provided
– there may be more space than you need.
•• Calculators may not be used.
You must show all your working.
• Answers should be given in as simple a form as possible, e.g.
2π
3
, 2, 3 2 .
Information
• The total mark for this paper is 100 of which 7 marks are for style and clarity of
presentation.
•• The style and clarity of presentation marks will be indicated as (+S1) or (+S2).
There are 7 questions in this question paper.
•• The marks for each question are shown in brackets.
The total mark for each question is shown at the end of the question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P72907A
©2024 Pearson Education Ltd.
F:1/1/1/
*P72907A0132*
,1. In the binomial expansion of
1
1 8 x
p
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
x
8
where p is a positive constant,
• the sum of the coefficient of x and the coefficient of x 2 is equal to the
coefficient of x 3
• the coefficient of x 2 is positive
Determine the value of p.
(7)
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_____________________________________________________________________________________
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2
*P72907A0232*
, Question 1 continued
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(Total for Question 1 is 7 marks)
3
*P72907A0332* Turn over
, 2.
y
2
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
O x
–2 2
–5
Figure 1
Figure 1 shows the curve defined by the equation
y 2 3 y
6 sin y
4
x 2
The point P(x, y) lies on the curve.
The distance from the origin, O, to P is D.
(a) Write down an equation for D 2 in terms of y only.
(1)
(b) Hence determine the minimum value of D giving your answer in simplest form.
(5)
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4
*P72907A0432*
