Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Award
Tuesday 23 June 2026
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. 23π , 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
P81302A
©2026 Pearson Education Ltd.
P:1/1/1/1/
*P81302A0144*
,1. y = cosec x x∈ x ≠ nπ n∈
where x is measured in radians.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
1
By writing cosec x = , use differentiation from first principles to prove that
sin x
dy
= –cosec x cot x
dx
You may
• use without proof the formulae for sin (A ± B)
sin h cos h − 1
• assume that as h → 0 , → 1 and →0
h h
You may not use without proof
• the chain rule
• the product rule
• the quotient rule
(6)
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2
*P81302A0244*
, Question 1 continued
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3
*P81302A0344* Turn over
, Question 1 continued
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4
*P81302A0444*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Award
Tuesday 23 June 2026
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. 23π , 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
P81302A
©2026 Pearson Education Ltd.
P:1/1/1/1/
*P81302A0144*
,1. y = cosec x x∈ x ≠ nπ n∈
where x is measured in radians.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
1
By writing cosec x = , use differentiation from first principles to prove that
sin x
dy
= –cosec x cot x
dx
You may
• use without proof the formulae for sin (A ± B)
sin h cos h − 1
• assume that as h → 0 , → 1 and →0
h h
You may not use without proof
• the chain rule
• the product rule
• the quotient rule
(6)
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2
*P81302A0244*
, Question 1 continued
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3
*P81302A0344* Turn over
, Question 1 continued
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4
*P81302A0444*
