Based on the 2022 Advanced
Information from Edexcel exam board
Predicted A level
Mathematics
Paper 1 June 2022
Set A
Time: 2 hours
Information for Candidates
• This predicted paper is based on the 2022 advance information from Edexcel exam board
• There are 12 questions in this question paper
• The total mark for this paper is 100.
• The marks for each question are shown in brackets.
• Full marks may be obtained for answers to ALL questions
Advice to candidates:
• You must ensure that your answers to parts of questions are clearly labelled.
• You must show sufficient working to make your methods clear to the Examiner
• Answers without working may not gain full credit
Disclaimer: There is no guarantee that any specific topic will be examined this way in the
summer and you cannot rely on this as your only source of revision. Visit
www.naikermaths.com for more practice papers and plenty of revision resources to help you
in your revision.
www.naikermaths.com
, Question 1
(a) On Diagram 1 sketch the graphs of
(i) y = x(3 − x)
(ii) y = x(x − 2)(5 − x)
showing clearly the coordinates of the points where the curves cross the coordinate axes. (4)
(b) Show that the x coordinates of the points of intersection of
y = x(3 − x) and y = x(x − 2)(5 − x)
are given by the solutions to the equation x(x2 − 8x + 13) = 0 (3)
The point P lies on both curves. Given that P lies in the first quadrant,
(c) find, using algebra and showing your working, the exact coordinates of P. (5)
Diagram 1
(Total for question = 12 marks)
www.naikermaths.com
Information from Edexcel exam board
Predicted A level
Mathematics
Paper 1 June 2022
Set A
Time: 2 hours
Information for Candidates
• This predicted paper is based on the 2022 advance information from Edexcel exam board
• There are 12 questions in this question paper
• The total mark for this paper is 100.
• The marks for each question are shown in brackets.
• Full marks may be obtained for answers to ALL questions
Advice to candidates:
• You must ensure that your answers to parts of questions are clearly labelled.
• You must show sufficient working to make your methods clear to the Examiner
• Answers without working may not gain full credit
Disclaimer: There is no guarantee that any specific topic will be examined this way in the
summer and you cannot rely on this as your only source of revision. Visit
www.naikermaths.com for more practice papers and plenty of revision resources to help you
in your revision.
www.naikermaths.com
, Question 1
(a) On Diagram 1 sketch the graphs of
(i) y = x(3 − x)
(ii) y = x(x − 2)(5 − x)
showing clearly the coordinates of the points where the curves cross the coordinate axes. (4)
(b) Show that the x coordinates of the points of intersection of
y = x(3 − x) and y = x(x − 2)(5 − x)
are given by the solutions to the equation x(x2 − 8x + 13) = 0 (3)
The point P lies on both curves. Given that P lies in the first quadrant,
(c) find, using algebra and showing your working, the exact coordinates of P. (5)
Diagram 1
(Total for question = 12 marks)
www.naikermaths.com
