Mark Scheme (Results) January Pearson Edexcel International GCSE Mathematics A (4MA0) Paper 1F

Transcription

1 Mark Scheme (Results) January 05 Pearson Edexcel International GCSE Mathematics A (4MA0) Paper F Pearson Edexcel Level /Level Certificate Mathematics A (KMA0) Paper F

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3 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 candidate s response is not worthy of credit according to 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 mark scheme to a candidate s response, the team leader must 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

4 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. If it is clear from the working that the correct answer has 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: e.g. 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.

5 Apart from Question 5b, where the mark scheme states otherwise, the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.. (a) cm B or centimetre(s) (b) g B or gram(me)(s) (c) ml B or millilitre(s) or cm 3 or cubic centimetres Do not accept cc. 8 x 0.6(0) or 4.8(0) or 8 60 or or or 50 dep on first A allow 5. Total 3 Marks Total 3 Marks 3. (a) 4 B (b) B ft from their (a) 5.5 x 4 (c) 4 complete and a quarter B (d) 50 B Total 4 Marks 4. (a) 36.8 B Ignore units (b) Arrow marked between 98. and 98.4 (exclusive) B Total Marks

6 5. (a) 48 B shown as sixth term 55 B shown as seventh term ft from their (a) (b) Added 7 B accept +7, 7 more, jumped forward by 7, difference = 7 oe or 7n + 6 (c) or or 7n + 6 allow x 7 or 39 or 53 Or 3, 0, 7,., 39, 46 (list of 0 terms) List should show a clear intention of adding 7 with at least 5 terms (including 55). Condone arithmetic error. Eg 55, 6, 69, 76, 8 Eg 48, 55, 6, 69, 76, 8 46 A May be seen as the last term in a list Total 5 marks 6. (a) B (b).9 B (c) 778 B cao Total 3 Marks

7 7. (a) A (b) 4 00 oe (c) or 5 oe 6 5 A 5 A SC: Award B for final answer of 60 Total 6 Marks 8. (a) 357 or 375 or 537 or 573 or 735 or 753 B (b) 357 B (c) 5 B (d) 7 B (e) 3 or 37 or 53 or 73 B Total 5 Marks

8 9. (a) 9.6 B Allow 9.5 to 9.7 (inclusive) (b) B (c) 0 B (d) 6 B (e) Any 4 lines reflected correctly or a correct reflection in a line parallel to AB Correct reflection A Total 6 Marks 0. (a) 000 B (b) A (c) V =.5n B Accept V =.5 x n oe Award B for.5n oe or n =V/.5 Total 5 Marks

9 . (a) 67 4 Allow 4 67 or 4 to 67 or A (b) or Condone missing brackets ( ) 6 34 A (c) Accept with a > or aa bb with 0 < b < 6 (a and b should be 6 integers) 6 A oe eg 3 Allow 0.33(3 ) correct to at least dp A0 for : 3 or : 6 oe Total 6 Marks. (a)(i) 5 B (a)(ii) Angles on a straight line add up to 80 degrees B for straight line AND 80 Ignore extra information unless there is a contradiction (b) 55 B (c) 80 x A Total 5 marks

10 3. (a) A (b) A (c) or 50. or 60 or or 44 Allow A 50 0 SCB for 5000 or oe or. 4.6(66666) 0 oe with 4.6(66666) rounded or truncated to at least 3SF Total 6 Marks

11 4. (a) 5.65 B Allow 5.6 or 5.63 (b) for A Accept 8 or 37/ but not unsimplified fractions Accept equivalent decimal (eg 8.50) (c) = 9 or 5 for or A Accept 3 or ± 3 Total 5 marks 5. (a) Eg 3x = or 3x = 6 5 or 3x = or 3x = 0 or 3x = 0 or (6 5) 3 7 A (b) 0y 4 = 8y+ for 0y 4 or 8y + Eg 0y 8y = + 4 or y = 5 For a correct equation with the y terms collected on one side of the equation and the non y terms on the other side. 3 A oe dep on at least Total 5 marks

12 6. eg or or M3 For a complete method. (0 + 5) ( ) or 300 ( ) or (5 + ) 6 or 08 eg 4 and 0 6 (4 and 30) or 4 and 0 (4 and 60) or 4 6 and 0 6 ( and 30) or 4 6 and 0 ( and 60) or (5 + ) 6 or 08 or (5 + ) 6 or 78 eg 4 6 or or 4 or 4 or 0 6 or 30 or 0 or 60 or 6 or 33 or or 66 or 5 6 or 45 or 5 6 or 90 or 5 or 80 or 5 6 or 50 or 5 or 300 or 0 6 or 60 or 0 or 0 or 6 or 66 or or 3 or 4 or 48 or 4 6 or A If not M3 then M for different but non overlapping triangles or trapezium If not M then for a correct area of a triangle or rectangle. NB : The lists of examples are not exhaustive. Total 4 marks

13 7. ( 7 4) 90 or (7 ) 80 For the sum of the interior angles or 360 an interior angle or 7 80 or Eg Allow for oe or 7 8.( ) correctly rounded or truncated to at least 3SF. 900 A Mark the final answer Total marks

14 8. (a)(i) 4 7 B oe eg 3 or Accept 0.33(3333 ) correct to at least dp (a)(ii) or 7 4 or 48 or " 4 7 " ft ft from their (a)(i) if 0 < (a)(i) < (b) Aft oe eg 3 or Accept 0.66(66..) rounded or truncated to at least dp ft from their (a)(i) ) if 0 < (a)(i) < A0 for 48:7 oe 0.8 A oe eg accept 8/00 (c) 0 60 oe 00 A Accept out of 60 A0 for /60 Total 7 marks

15 9. (a) 53 5 or (=.4) 8 5 (= 0.4) dep ".4" (= 0.4) 53 5 (=.4) ".4" 00 (=.4) (b) A cao or oe M 0.85 for 53 or.8 or 85% = or 0.85x = 53 oe 80 3 A Total 6 marks 0. (a) 6c 5 c+ 8 Any three terms correct 4c 7 A (b) 6 6e B 6 B for 6 or e as part of a product or B for 4² ee 3 (c) a + 5a a 5 any three terms correct or a + 4 a+... or + 4a 5 a + 4a 5 A Total 6 marks

16 . (a) 5 0 or 5 00 or 5 M for any complete and "5" or 5 5 dep on correct method. 3 A awrt. (b) 0 M for any tan C = or tan C = complete and correct method 0 tan.5 oe 38.7 A Accept 38.6( ) rounded or 3 truncated to at least 3 SF. Total 6 marks

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