# Markscheme

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 marksmen 1 General Mark according to scores instructions and the document “Mathematics SSL : 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.

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CLC If a part is completely correct, (and gains all the ‘must be seen’ marks), use the ticks with numbers to starts full marks, [l If a part is completely wrong, stamp AC by the final answer. C If a part gains anything else, it must be recorded using all the annotations.All the marks will be added and recorded by 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 marksmen. It is generally to possible to award MS followed by AY , as A mark(s) depend on the preceding M mark(s), if any. An exception to this rule is when work for MI is missing, as opposed to incorrect (see point 4).Where M and A marks are noted on the same line, e.

G. MI AY, this usually means MI for an attempt to use an appropriate method (e. G. Substitution into a formula) and AY for using the correct values. I] 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 tuft are correct, award IOWA. Where the marksmen specifies (MM), NO, etc. Do not split the marks, unless there is a note.

(Example 1) C Once a correct answer to a question or part-question is seen, ignore further working. 3 N marks IN /ENG/TCO/XX/M If no working shown, award N marks for correct answers.In this case, ignore mark breakdown (M, A, R).

[l 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 marksmen, 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. Implied and must be seen marks Implied marks appear in brackets e.

. (MI). CLC 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). C]Normally the correct work is seen or implied in the next line.

CLC Where there is an (MI) followed by AY for each correct answer, if no working shown, one correct answer is sufficient evidence to award the (MI). (Example 2) Must be seen marks appear without brackets e. G. MI.

0 Must be seen marks can only be awarded it appropriate work is seen.C] If a must be seen mark is not awarded because work is missing (as opposed to MO or AY for incorrect work) all subsequent marks may be awarded if appropriate, S Follow through marks (only applied after an error is made) follow through (FT) marks are awarded where an incorrect answer from one part of a question is used correctly in subsequent part(s) or subpart(s). Usually, to award FT marks, there must be working present and not just a final answer based on an incorrect answer to a previous part.However, if the only marks awarded in a subpart are for the answer (i. E.

Here is no working expected), then FT marks should be awarded if appropriate. Within a question part, once an error is add, no further A marks can be awarded for work which uses the error, but M marks may be awarded if appropriate. (However, as noted above, if an A mark is not awarded because work is missing, all subsequent marks may be awarded if appropriate. )If the question becomes much simpler because Of an error then use discretion to award fewer FT marks. If the error leads to an inappropriate value (e. G.

Probability greater than I, use Of r I] I for the sum Of an infinite GAP, sin ; C 1. , non integer value where integer required), do not award the mark(s) for the final answer(s). CLC The marksmen may use the word “their” n a description, to indicate that candidates may be using an incorrect value. (Example 3) L]Exceptions to this rule will be explicitly noted on the marksmen. Z] If a candidate makes an error in one part, but gets the correct answer(s) to subsequent part(s), award marks as appropriate, unless the question says hence.

It is often possible to use a different approach in subsequent parts that does not depend on the answer to previous parts. Example 3) 6 Mis-read If a candidate incorrectly copies information from the question, this is a MIS- read (MR.). Apply a MR. penalty of 1 mark to that question.

Award the marks as usual and then Stamp MR. against the answer _ Scores will automatically deduct 1 mark from the question total. A candidate should be penalized only once for a particular MIS-read.

DO not stamp MR. again for that question, unless the candidate makes another MIS-read. Z] Fifth question becomes much simpler because of the MR.. Then use discretion to award fewer marks.

CLC If the MR. leads to an inappropriate value (e. G. Arability greater than 1, use of r] 1 for the sum of an infinite GAP sin 0 C 1. 5 , non integer value where integer required), do not award the mark(s) for the final answer(s).

Z]Miscopying of candidates’ own work does not constitute a misread, it is an error. 7 Discretionary marks (d) An examiner uses discretion to award a mark on the rare occasions when the marksmen does not cover the work seen. The mark should be labeled (d) and a brief note written next to the mark explaining this decision. 8 Alternative methods Candidates will sometimes use methods other than those in the marcher’s.

Unless the question specifies a method, other correct methods should be marked in line with the marksmen. If in doubt, contact your team leader for advice. Alternative methods for complete questions are indicated by METHOD I, METHOD 2, etc.

0 Alternative solutions tort part-questions are indicated by EITHER OR. Where possible, alignment will also be used to assist examiners in identifying where these alternatives start and finish. 9 Alternative forms Unless the question specifies otherwise, accept equivalent forms.

As this is an international examination, accept all alternative forms of notation.In the marksmen, equivalent numerical and algebraic forms Will generally be written in brackets immediately following the answer. ? In the marksmen, amplified answers, (which candidates often do not write in examinations), will generally appear in brackets. Marks should be awarded for either the form preceding the bracket or the form in brackets (if it is seen). (Example 4) 10 Accuracy of Answers /ENG/ETC/XX/M Fifth level of accuracy is specified in the question, a mark will be allocated for giving the answer to the required accuracy.

Z]Rounding errors: only applies to final answers not to intermediate steps. Level of accuracy: when this is not specified in the question the general rule applies to final answers: unless otherwise stated in the question all numerical answers must be given exactly or correct to three significant figures. Candidates should be penalized once only IN THE PAPER for an accuracy error (AP).

Award the marks as usual then stamp (AP) against the answer. Scores Will automatically deduct 1 mark from the paper total. Please see section E in the guidance document Which clearly explains, With the use of corrections, how this works in cons.C] If a final correct answer is incorrectly rounded, apply the AP. C Fifth level of accuracy is not specified in the question, apply the AP for correct final answers not given to three significant figures, 0 Intermediate values are sometimes Ritter as 3. 24741). This indicates that using 3.

24 (or 3. 25) is acceptable, but the more accurate value is 3. 24741. The digits in brackets are not required for the marks.

It candidates work with fewer than three significant figures, this could lead to an AP. [l Do not accept unfinished numerical answers such as 3/0. 1 (unless otherwise stated).

As a rule, numerical answers with more than one part (such as fractions) should be given using integers (e. G. 6/8).

If there is no working shown, and answers are given to the correct two significant figures, apply the AP with the N marks for correct two significant figures answers. However, do not accept answers to one significant figure without working. 11 Calculators No calculator is allowed. The use of any calculator on paper I is malpractice, and will result in no grade awarded.

It you see work that suggests a candidate has used any calculator, please follow the procedures for malpractice.