Solutions - Math Sl - Nov. 2010 P1

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N10/5/MATME/SP1/ENG/TZ0/XX/M

MARKSCHEME
November 2010

MATHEMATICS

Standard Level

Paper 1

18 pages

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N10/5/MATME/SP1/ENG/TZ0/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 IB Cardiff.

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N10/5/MATME/SP1/ENG/TZ0/XX/M

Instructions to Examiners Abbreviations M (M) A (A) R N AG Marks awarded for attempting to use a correct Method; working must be seen. Marks awarded for Method; may be implied by correct subsequent working. Marks awarded for an Answer or for Accuracy; often dependent on preceding M marks. Marks awarded for an Answer or for Accuracy; may be implied by correct subsequent working. Marks awarded for clear Reasoning. Marks awarded for correct answers if no working shown. Answer given in the question and so no marks are awarded.

Using the markscheme 1 General Mark according to scoris instructions and the document “Mathematics SL : Guidance for e-marking November 2010”. 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. 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. Do not enter marks directly into the mark entry box. 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, e.g. M1A1, this usually means M1 for an attempt to use an appropriate method (e.g. 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. (Example 1)  Once a correct answer to a question or part-question is seen, ignore further working.

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3 N marks

N10/5/MATME/SP1/ENG/TZ0/XX/M

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 e.g. (M1).  Implied marks can only be awarded if correct work is seen or if implied in subsequent working (a correct answer does not necessarily mean that the implied marks are all awarded).  Normally the correct...
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