Cambridge International Examinations
Cambridge International Advanced Subsidiary and Advanced Level
MATHEMATICS 9709/13
Paper 1 October/November 2016
MARK SCHEME
Maximum Mark: 75
Published
This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the
examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the
details of the discussions that took place at an Examiners’ meeting before marking began, which would have
considered the acceptability of alternative answers.
Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for
Teachers.
Cambridge will not enter into discussions about these mark schemes.
Cambridge is publishing the mark schemes for the October/November 2016 series for most
Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level
components.
® IGCSE is the registered trademark of Cambridge International Examinations.
This document consists of 7 printed pages.
© UCLES 2016 [Turn over
, Page 2 Mark Scheme Syllabus Paper
Cambridge International AS/A Level – October/November 2016 9709 13
Mark Scheme Notes
Marks are of the following three types:
M Method mark, awarded for a valid method applied to the problem. Method marks are not lost
for numerical errors, algebraic slips or errors in units. However, it is not usually sufficient for a
candidate just to indicate an intention of using some method or just to quote a formula; the
formula or idea must be applied to the specific problem in hand, e.g. by substituting the
relevant quantities into the formula. Correct application of a formula without the formula being
quoted obviously earns the M mark and in some cases an M mark can be implied from a
correct answer.
A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained.
Accuracy marks cannot be given unless the associated method mark is earned (or implied).
B Mark for a correct result or statement independent of method marks.
• When a part of a question has two or more “method” steps, the M marks are generally
independent unless the scheme specifically says otherwise; and similarly when there are several
B marks allocated. The notation DM or DB (or dep*) is used to indicate that a particular M or B
mark is dependent on an earlier M or B (asterisked) mark in the scheme. When two or more
steps are run together by the candidate, the earlier marks are implied and full credit is given.
• The symbol implies that the A or B mark indicated is allowed for work correctly following on
from previously incorrect results. Otherwise, A or B marks are given for correct work only. A and
B marks are not given for fortuitously “correct” answers or results obtained from incorrect
working.
• Note: B2 or A2 means that the candidate can earn 2 or 0.
B2/1/0 means that the candidate can earn anything from 0 to 2.
The marks indicated in the scheme may not be subdivided. If there is genuine doubt whether a
candidate has earned a mark, allow the candidate the benefit of the doubt. Unless otherwise
indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct
form of answer is ignored.
• Wrong or missing units in an answer should not lead to the loss of a mark unless the scheme
specifically indicates otherwise.
• For a numerical answer, allow the A or B mark if a value is obtained which is correct to 3 s.f., or
which would be correct to 3 s.f. if rounded (1 d.p. in the case of an angle). As stated above, an A
or B mark is not given if a correct numerical answer arises fortuitously from incorrect working. For
Mechanics questions, allow A or B marks for correct answers which arise from taking g equal to
9.8 or 9.81 instead of 10.
© UCLES 2016
Cambridge International Advanced Subsidiary and Advanced Level
MATHEMATICS 9709/13
Paper 1 October/November 2016
MARK SCHEME
Maximum Mark: 75
Published
This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the
examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the
details of the discussions that took place at an Examiners’ meeting before marking began, which would have
considered the acceptability of alternative answers.
Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for
Teachers.
Cambridge will not enter into discussions about these mark schemes.
Cambridge is publishing the mark schemes for the October/November 2016 series for most
Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level
components.
® IGCSE is the registered trademark of Cambridge International Examinations.
This document consists of 7 printed pages.
© UCLES 2016 [Turn over
, Page 2 Mark Scheme Syllabus Paper
Cambridge International AS/A Level – October/November 2016 9709 13
Mark Scheme Notes
Marks are of the following three types:
M Method mark, awarded for a valid method applied to the problem. Method marks are not lost
for numerical errors, algebraic slips or errors in units. However, it is not usually sufficient for a
candidate just to indicate an intention of using some method or just to quote a formula; the
formula or idea must be applied to the specific problem in hand, e.g. by substituting the
relevant quantities into the formula. Correct application of a formula without the formula being
quoted obviously earns the M mark and in some cases an M mark can be implied from a
correct answer.
A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained.
Accuracy marks cannot be given unless the associated method mark is earned (or implied).
B Mark for a correct result or statement independent of method marks.
• When a part of a question has two or more “method” steps, the M marks are generally
independent unless the scheme specifically says otherwise; and similarly when there are several
B marks allocated. The notation DM or DB (or dep*) is used to indicate that a particular M or B
mark is dependent on an earlier M or B (asterisked) mark in the scheme. When two or more
steps are run together by the candidate, the earlier marks are implied and full credit is given.
• The symbol implies that the A or B mark indicated is allowed for work correctly following on
from previously incorrect results. Otherwise, A or B marks are given for correct work only. A and
B marks are not given for fortuitously “correct” answers or results obtained from incorrect
working.
• Note: B2 or A2 means that the candidate can earn 2 or 0.
B2/1/0 means that the candidate can earn anything from 0 to 2.
The marks indicated in the scheme may not be subdivided. If there is genuine doubt whether a
candidate has earned a mark, allow the candidate the benefit of the doubt. Unless otherwise
indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct
form of answer is ignored.
• Wrong or missing units in an answer should not lead to the loss of a mark unless the scheme
specifically indicates otherwise.
• For a numerical answer, allow the A or B mark if a value is obtained which is correct to 3 s.f., or
which would be correct to 3 s.f. if rounded (1 d.p. in the case of an angle). As stated above, an A
or B mark is not given if a correct numerical answer arises fortuitously from incorrect working. For
Mechanics questions, allow A or B marks for correct answers which arise from taking g equal to
9.8 or 9.81 instead of 10.
© UCLES 2016
