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Cambridge International AS & A Level Cambridge International AS & A Level
HISTORY 9489/12
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Paper 1 Document question May/June 2026
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MARK SCHEME
Maximum Mark: 40
*
FURTHER MATHEMATICS 9231/12
Paper 1 Further Pure Mathematics 1 May/June 2026 Published
2 hours
You must answer on the question paper.
This mark scheme contains the instructions and marking guidance that our examiners used to mark
candidate responses for this component.
*
You will need: List of formulae (MF19)
Before they start marking, examiners complete a standardisation process. They review a range of candidate
responses and discuss the mark scheme in detail to agree which answers can and cannot be accepted.
INSTRUCTIONS
Examiners award marks where it is clear that candidate responses have met the requirements of the mark
● Answer all questions. scheme. These requirements may vary between different components or different versions of the same
● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. component, depending on the exact requirements of the question and the candidate responses seen during
● Write your name, centre number and candidate number in the boxes at the top of the page. the standardisation process.
● Write your answer to each question in the space provided.
● Do not use an erasable pen. Do not use correction fluid or tape. Sometimes, our mark schemes may allow marks to be awarded to responses which contain elements that
● Do not write on any bar codes. are factually incorrect or for content not covered by the syllabus. We do this in response to the demands of a
● If additional space is needed, you should use the lined page at the end of this booklet; the question specific question to support candidates and make sure that our assessments are fair. However, these
allowances should not be used as a guide for teaching and learning.
number or numbers must be clearly shown.
● You should use a calculator where appropriate. We cannot discuss the mark scheme with schools, and we recommend that schools read the mark scheme
● You must show all necessary working clearly; no marks will be given for unsupported answers from together with the assessment material and the Principal Examiner Report for Teachers.
a calculator.
● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
INFORMATION
● The total mark for this paper is 75.
● The number of marks for each question or part question is shown in brackets [ ].
This document has 20 pages. Any blank pages are indicated.
DC (CE) 355931/1 This document consists of 17 printed pages.
Cambridge University Press & Assessment 2026 [Turn over
Cambridge University Press & Assessment 2026 [Turn over
, * *
9489/12 Cambridge International AS & A Level – Mark Scheme May/June 2026
DO NOT WRITE IN THIS MARGIN
2 PUBLISHED
, ,
1 (a) Use standard results from the list of formulae (MF19) to show that General marking principles
n
/ (4r - 3) (12r + 3) = an + bn + cn ,
3 2 All examiners must apply these marking principles when marking candidate responses.
r=1
1 Examiners must award marks for each response in line with:
where a, b and c are integers to be determined. [3]
• the specific content defined in the mark scheme
............................................................................................................................................................ • the specific skills defined in the mark scheme or in the level descriptions
• the standard of response required as exemplified by the standardisation scripts.
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
2 Examiners must award whole marks (not half marks, or other fractions).
............................................................................................................................................................
3 Examiners must award marks positively. This means that:
............................................................................................................................................................
• marks are not deducted for errors or omissions
............................................................................................................................................................ • marks are awarded for correct/valid answers as defined in the mark scheme and also for
other valid answers which go beyond the scope of the syllabus and mark scheme
referring to your team leader as appropriate
............................................................................................................................................................
• the quality of spelling, punctuation and grammar are judged only when the mark scheme
indicates that these features are specifically assessed in the question. However, the
............................................................................................................................................................
meaning of all responses must be unambiguous.
............................................................................................................................................................ 4 Examiners must consistently apply the requirements of the mark scheme and any rules for
DO NOT WRITE IN THIS MARGIN
what to do when candidates have not followed instructions correctly.
............................................................................................................................................................
5 Examiners must use the full range of marks defined in the mark scheme, unless limited by
............................................................................................................................................................ the quality of the candidate responses seen.
............................................................................................................................................................ 6 Examiners must award marks according to the mark scheme and must not award marks with
grade thresholds or grade descriptions in mind.
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
Cambridge University Press & Assessment 2026 9231/12/M/J/26
Cambridge University Press & Assessment 2026 Page 2 of 17
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, * *
9489/12 Cambridge International AS & A Level – Mark Scheme May/June 2026
DO NOT WRITE IN THIS MARGIN
3 PUBLISHED
, ,
n
/ (4r - 3)1(12r + 3)
Annotations guidance for centres
(b) Use the method of differences to find in terms of n. [4]
r=1 Examiners use a system of annotations as a shorthand for communicating their marking decisions to
one another. Examiners are trained during the standardisation process on how and when to use
............................................................................................................................................................ annotations. The purpose of annotations is to inform the standardisation and monitoring processes
and guide the supervising examiners when they are checking the work of examiners within their team.
............................................................................................................................................................ The meaning of annotations and how they are used is specific to each component and is understood
by all examiners who mark the component.
............................................................................................................................................................
We publish annotations in our mark schemes to help centres understand the annotations they may
............................................................................................................................................................ see on copies of scripts. Note that there may not be a direct correlation between the number of
DO NOT WRITE IN THIS MARGIN
annotations on a script and the mark awarded. Similarly, the use of an annotation may not be an
............................................................................................................................................................ indication of the quality of the response.
............................................................................................................................................................ The annotations listed below were available to examiners marking this component in this series.
............................................................................................................................................................ Annotations
............................................................................................................................................................ Annotation Meaning
............................................................................................................................................................ Must be on all blank pages. Can be used to show rough notes have been seen
............................................................................................................................................................ Irrelevant material
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
Highlighter Use in the text to show relevant comment / source use
............................................................................................................................................................
On-page Allows comments to be entered in speech bubbles on the candidate response,
............................................................................................................................................................ comment for example, Sim ID – identified sim/diff but not developed from source content
............................................................................................................................................................ Off-page Allows comments to be entered at the bottom of the RM marking window and
comment then displayed when the associated question item is navigated to
............................................................................................................................................................
Valid difference supported with source content
............................................................................................................................................................
Valid similarity supported with source content
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
Level 0
............................................................................................................................................................
Level 1
............................................................................................................................................................ Level 2
............................................................................................................................................................ Level 3
............................................................................................................................................................ Level 4
............................................................................................................................................................ Level 5
3
/ (4r - 3)1(12r + 3) .
DO NOT WRITE IN THIS MARGIN
State the value of [1]
r=1
............................................................................................................................................................
............................................................................................................................................................
Cambridge University Press & Assessment 2026 9231/12/M/J/26 [Turn over
Cambridge University Press & Assessment 2026 Page 3 of 17
Ĭ×Ċ®Ġ´íÈõÏĪÅĊàù¸þ×
ĬĄĎûÒĬĕāÝñúÓÎđ¾ĒüĂ
ĥĕåÕõÕĥµĕµåąąÕĥõõÕ
, ,
Cambridge International AS & A Level Cambridge International AS & A Level
HISTORY 9489/12
¬W. 4mHuOªE]y6W
¬{[ªczqy2jj
Paper 1 Document question May/June 2026
¥EEuUE55 eE u¥uEU
MARK SCHEME
Maximum Mark: 40
*
FURTHER MATHEMATICS 9231/12
Paper 1 Further Pure Mathematics 1 May/June 2026 Published
2 hours
You must answer on the question paper.
This mark scheme contains the instructions and marking guidance that our examiners used to mark
candidate responses for this component.
*
You will need: List of formulae (MF19)
Before they start marking, examiners complete a standardisation process. They review a range of candidate
responses and discuss the mark scheme in detail to agree which answers can and cannot be accepted.
INSTRUCTIONS
Examiners award marks where it is clear that candidate responses have met the requirements of the mark
● Answer all questions. scheme. These requirements may vary between different components or different versions of the same
● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. component, depending on the exact requirements of the question and the candidate responses seen during
● Write your name, centre number and candidate number in the boxes at the top of the page. the standardisation process.
● Write your answer to each question in the space provided.
● Do not use an erasable pen. Do not use correction fluid or tape. Sometimes, our mark schemes may allow marks to be awarded to responses which contain elements that
● Do not write on any bar codes. are factually incorrect or for content not covered by the syllabus. We do this in response to the demands of a
● If additional space is needed, you should use the lined page at the end of this booklet; the question specific question to support candidates and make sure that our assessments are fair. However, these
allowances should not be used as a guide for teaching and learning.
number or numbers must be clearly shown.
● You should use a calculator where appropriate. We cannot discuss the mark scheme with schools, and we recommend that schools read the mark scheme
● You must show all necessary working clearly; no marks will be given for unsupported answers from together with the assessment material and the Principal Examiner Report for Teachers.
a calculator.
● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
INFORMATION
● The total mark for this paper is 75.
● The number of marks for each question or part question is shown in brackets [ ].
This document has 20 pages. Any blank pages are indicated.
DC (CE) 355931/1 This document consists of 17 printed pages.
Cambridge University Press & Assessment 2026 [Turn over
Cambridge University Press & Assessment 2026 [Turn over
, * *
9489/12 Cambridge International AS & A Level – Mark Scheme May/June 2026
DO NOT WRITE IN THIS MARGIN
2 PUBLISHED
, ,
1 (a) Use standard results from the list of formulae (MF19) to show that General marking principles
n
/ (4r - 3) (12r + 3) = an + bn + cn ,
3 2 All examiners must apply these marking principles when marking candidate responses.
r=1
1 Examiners must award marks for each response in line with:
where a, b and c are integers to be determined. [3]
• the specific content defined in the mark scheme
............................................................................................................................................................ • the specific skills defined in the mark scheme or in the level descriptions
• the standard of response required as exemplified by the standardisation scripts.
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
2 Examiners must award whole marks (not half marks, or other fractions).
............................................................................................................................................................
3 Examiners must award marks positively. This means that:
............................................................................................................................................................
• marks are not deducted for errors or omissions
............................................................................................................................................................ • marks are awarded for correct/valid answers as defined in the mark scheme and also for
other valid answers which go beyond the scope of the syllabus and mark scheme
referring to your team leader as appropriate
............................................................................................................................................................
• the quality of spelling, punctuation and grammar are judged only when the mark scheme
indicates that these features are specifically assessed in the question. However, the
............................................................................................................................................................
meaning of all responses must be unambiguous.
............................................................................................................................................................ 4 Examiners must consistently apply the requirements of the mark scheme and any rules for
DO NOT WRITE IN THIS MARGIN
what to do when candidates have not followed instructions correctly.
............................................................................................................................................................
5 Examiners must use the full range of marks defined in the mark scheme, unless limited by
............................................................................................................................................................ the quality of the candidate responses seen.
............................................................................................................................................................ 6 Examiners must award marks according to the mark scheme and must not award marks with
grade thresholds or grade descriptions in mind.
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
Cambridge University Press & Assessment 2026 9231/12/M/J/26
Cambridge University Press & Assessment 2026 Page 2 of 17
ĬÕĊ®Ġ´íÈõÏĪÅĊàû¸þ×
ĬĄčüÚĞęñÜććĖĊĩĚĒČĂ
ĥĕÕĕµµąÕąÅõąąµąµĥÕ
, * *
9489/12 Cambridge International AS & A Level – Mark Scheme May/June 2026
DO NOT WRITE IN THIS MARGIN
3 PUBLISHED
, ,
n
/ (4r - 3)1(12r + 3)
Annotations guidance for centres
(b) Use the method of differences to find in terms of n. [4]
r=1 Examiners use a system of annotations as a shorthand for communicating their marking decisions to
one another. Examiners are trained during the standardisation process on how and when to use
............................................................................................................................................................ annotations. The purpose of annotations is to inform the standardisation and monitoring processes
and guide the supervising examiners when they are checking the work of examiners within their team.
............................................................................................................................................................ The meaning of annotations and how they are used is specific to each component and is understood
by all examiners who mark the component.
............................................................................................................................................................
We publish annotations in our mark schemes to help centres understand the annotations they may
............................................................................................................................................................ see on copies of scripts. Note that there may not be a direct correlation between the number of
DO NOT WRITE IN THIS MARGIN
annotations on a script and the mark awarded. Similarly, the use of an annotation may not be an
............................................................................................................................................................ indication of the quality of the response.
............................................................................................................................................................ The annotations listed below were available to examiners marking this component in this series.
............................................................................................................................................................ Annotations
............................................................................................................................................................ Annotation Meaning
............................................................................................................................................................ Must be on all blank pages. Can be used to show rough notes have been seen
............................................................................................................................................................ Irrelevant material
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
Highlighter Use in the text to show relevant comment / source use
............................................................................................................................................................
On-page Allows comments to be entered in speech bubbles on the candidate response,
............................................................................................................................................................ comment for example, Sim ID – identified sim/diff but not developed from source content
............................................................................................................................................................ Off-page Allows comments to be entered at the bottom of the RM marking window and
comment then displayed when the associated question item is navigated to
............................................................................................................................................................
Valid difference supported with source content
............................................................................................................................................................
Valid similarity supported with source content
DO NOT WRITE IN THIS MARGIN
............................................................................................................................................................
Level 0
............................................................................................................................................................
Level 1
............................................................................................................................................................ Level 2
............................................................................................................................................................ Level 3
............................................................................................................................................................ Level 4
............................................................................................................................................................ Level 5
3
/ (4r - 3)1(12r + 3) .
DO NOT WRITE IN THIS MARGIN
State the value of [1]
r=1
............................................................................................................................................................
............................................................................................................................................................
Cambridge University Press & Assessment 2026 9231/12/M/J/26 [Turn over
Cambridge University Press & Assessment 2026 Page 3 of 17
Ĭ×Ċ®Ġ´íÈõÏĪÅĊàù¸þ×
ĬĄĎûÒĬĕāÝñúÓÎđ¾ĒüĂ
ĥĕåÕõÕĥµĕµåąąÕĥõõÕ
