[PDF] IGCSE Maths May 2013 – Paper 3H Mark scheme (First draft )

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Mark Scheme (Results)

Summer 2013

International GCSE Mathematics

(4MA0) Paper 3H

Level 1/Level 2 Certificate in Mathematics

(KMA0) Paper 3H

Edexcel and BTEC Qualifications

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Summer 2013

Publications Code UG037227

All the material in this publication is copyright

© Pearson Education Ltd 2013

General Marking Guidance

All candidates must receive the same treatment. Examiners must mark the first candidate in exactly the same way as they mark the last. Mark schemes should be applied positively. Candidates must be rewarded for what they have shown they can do rather than penalised for omissions. Examiners should mark according to the mark scheme not according to their perception of where the grade boundaries may lie. There is no ceiling on achievement. All marks on the mark scheme should be used appropriately. All the marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, i.e. if the answer matches the mark scheme. Examiners should also be prepared to award zero marks if the mark scheme. Where some judgement is required, mark schemes will provide the principles by which marks will be awarded and exemplification may be limited. When examiners are in doubt regarding the application of the be consulted. Crossed out work should be marked UNLESS the candidate has replaced it with an alternative response.

Types of mark

o M marks: method marks o A marks: accuracy marks o B marks: unconditional accuracy marks (independent of

M marks)

Abbreviations

o cao ± correct answer only o ft ± follow through o isw ± ignore subsequent working o SC - special case o oe ± or equivalent (and appropriate) o dep ± dependent o indep ± independent o eeoo ± each error or omission

No working

If no working is shown then correct answers normally score full marks If no working is shown then incorrect (even though nearly correct) answers score no marks.

With working

If there is a wrong answer indicated on the answer line always check the working in the body of the script (and on any diagrams), and award any marks appropriate from the mark scheme. HI LP LV ŃOHMU IURP POH RRUNLQJ POMP POH ³ŃRUUHŃP´ MQVRHU OMV been obtained from incorrect working, award 0 marks. Any case of suspected misread loses A (and B) marks on that part, but can gain the M marks. If working is crossed out and still legible, then it should be given any appropriate marks, as long as it has not been replaced by alternative work. If there is a choice of methods shown, then no marks should be awarded, unless the answer on the answer line makes clear the method that has been used. If there is no answer on the answer line then check the working for an obvious answer.

Ignoring subsequent work

It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the question: eg. Incorrect cancelling of a fraction that would otherwise be correct. It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect eg algebra. Transcription errors occur when candidates present a correct answer in working, and write it incorrectly on the answer line; mark the correct answer.

Parts of questions

Unless allowed by the mark scheme, the marks allocated to one part of the question CANNOT be awarded in another.

Apart from Questions 3(c), 19(b) and 20(b) (where the mark scheme states otherwise), the correct answer,

unless clearly obtained by an incorrect method, should be taken to imply a correct method.

Question

Number

Working Answer Mark Notes

1 (0×13) + 1×2 + 2×3 + 3×8 + 4×14

or (0) + 2 + 6 + 24 + 56 or 88

3 M1 for sum of at least 3 products

(products may or may not be evaluated)

³88´ · 40 M1 (dep) for division by 40

(or by their 40) 2.2

A1 accept 2.2 or

11 5 or 125
marks are scored.

Total 3 marks

2 (a) 7.7

720294102.2

2 M1 for 2.72029... if first 5 figures

correct (rounded or truncated) or for 7.7 or for 2 185 77

0.35328(4948) A1 Accept if first 5 figures correct

(b) 0.35 1 B1 ft from (a) only if more than 2 sig figs given in (a)

Total 3 marks

3 (a) 6n í 12 1 B1

(b) p(p í D 2 B2 Also accept (p+0)(píD IRU %2

B1 for factors which, when expanded and

simplified, give two terms, one of which is correct.

SC B1 for p(p í Dp)

(c)

7 3 2xx

3 M1 for

7 3 2xx

or

7 3 2xx

or 73
22
xx oe

7 2 3xx

or 53x

M1 for

7 2 3xx

or 53x
or

5 3 0x

or 2 3 2 7 xx or 2 3 2 5 x

NB. All these examples could be written with all

terms 'on the other side' eg 53x
etc 5 3 oe A1 Award full marks if at least one method mark awarded and answer correct.

Total 6 marks

4 (a) corresponding (angle(s)) 1 B1 oe eg

x corresponds to angle A; corresponding to angle A (b) 6 í 2 î 180 or 4 × 180 or 2 î 6 í 4) × 90 or 8 × 90 or 120 × 6 or 180 í 60î6 or 360 + 360

4 M1 360í73Ą46Ą38Ą

88+57)

Condone one

incorrect ext angle

720 A1 M1 A1 for

720 seen

58 M1 A1 for 58

seen ³720´ í 107 Ą 134 Ą 142 Ą E2 Ą 123)

RU 720 í DE8

M1 dep on

first M1

180 í ³D8´

122 A1

Total 5 marks

5 (a)

43 12 2 6.5x

or

43 12 13x

or

2 12P y x

(oe with 12x or x as the subject)

3 M1 for correct

rearrangement of original equation or substitution

M2 for

43 í 2î6BD (=

12x ) or

30 (=12x)

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