This essay MATHEMATICS Standard Level has a total of 4027 words and 26 pages.
MATHEMATICS Standard Level
Paper 2– 2 – M13/5/MATME/SP2/ENG/TZ1/XX/M
This markscheme is confidential and for the exclusive use of
examiners in this examination session.
It is the property of the International Baccalaureate and
must not be reproduced or distributed to any other person
without the authorization of the IB Assessment Centre.– 3 – M13/5/MATME/SP2/ENG/TZ1/XX/M
Instructions to Examiners
M Marks awarded for attempting to use a correct Method; working must be seen.
(M) Marks awarded for Method; may be implied by correct subsequent working.
A Marks awarded for an Answer or for Accuracy; often dependent on preceding M marks.
(A) Marks awarded for an Answer or for Accuracy; may be implied by correct subsequent working.
R Marks awarded for clear Reasoning.
N Marks awarded for correct answers if no working shown.
AG Answer given in the question and so no marks are awarded.
Using the markscheme
Mark according to scoris instructions and the document “Mathematics SL: Guidance for e-marking
May 2013”. It is essential that you read this document before you start marking. In particular,
please note the following. Marks must be recorded using the annotation stamps, using the new scoris
tool. Please check that you are entering marks for the right question.
• If a part is completely correct, (and gains all the “must be seen” marks), use the ticks with
numbers to stamp full marks.
• If a part is completely wrong, stamp A0 by the final answer.
• If a part gains anything else, it must be recorded using all the annotations.
All the marks will be added and recorded by scoris.
2 Method and Answer/Accuracy marks
• Do not automatically award full marks for a correct answer; all working must be checked,
and marks awarded according to the markscheme.
• It is generally not possible to award M0 followed by A1, as A mark(s) depend on the preceding
M mark(s), if any. An exception to this rule is when work for M1 is missing, as opposed to
incorrect (see point 4).
• Where M and A marks are noted on the same line, eg M1A1, this usually means M1 for an attempt
to use an appropriate method (eg substitution into a formula) and A1 for using the correct values.
• Where there are two or more A marks on the same line, they may be awarded independently; so if
the first value is incorrect, but the next two are correct, award A0A1A1.
• Where the markscheme specifies (M2), N3, etc., do not split the marks, unless there is a note.
• Once a correct answer to a question or part-question is seen, ignore further working.
• Most M marks are for a valid method, ie a method which can lead to the answer: it must indicate
some form of progress towards the answer.
• A marks are often dependent on the R mark being awarded for justification for the A mark, in
which case it is not possible to award A1R0. Hence the A1 is not awarded for a correct answer if
no justification or the wrong justification is given.– 4 – M13/5/MATME/SP2/ENG/TZ1/XX/M
3 N marks
If no working shown, award N marks for correct answers. In this case, ignore mark breakdown
(M, A, R).
• Do not award a mixture of N and other marks.
• There may be fewer N marks available than the total of M, A and R marks; this is deliberate as it
penalizes candidates for not following the instruction to show their working.
• There may not be a direct relationship between the N marks and the implied marks. There are
times when all the marks are implied, but the N marks are not the full marks: this indicates that we
want to see some of the working, without specifying what.
• For consistency within the markscheme, N marks are noted for every part, even when these match
the mark breakdown.
• If a candidate has incorrect working, which somehow results in a correct answer, do not award the
N marks for this correct answer. However, if the candidate has indicated (usually by crossing out)
that the working is to be ignored, award the N marks for the correct answer.
4 Implied and must be seen marks
Implied marks appear in brackets eg (M1).
• Implied marks can only be awarded if correct work is seen or if implied in subsequent working
(a correct final answer does
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