Mark Scheme (Results) January 2020 - Mr Armstrong Maths!
Mark Scheme (Results)
January 2020
Pearson Edexcel International GCSE In Mathematics A (4MA1) Paper 2H
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January 2020 Publications Code 4MA1_2H_2001_MS All the material in this publication is copyright ? Pearson Education Ltd 2020
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 awrt ? answer which rounds to 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. If it is clear from the working that the "correct" answer has been obtained from incorrect working, award 0 marks. If a candidate misreads a number from the question. Eg. Uses 252 instead of 255; method marks may be awarded provided the question has not been simplified. Examiners should send any instance of a suspected misread to review. If there is a choice of methods shown, mark the method that leads to the answer on the answer line; where no answer is given on the answer line, award the lowest mark from the methods shown. 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 to another.
International GCSE Maths
Apart from Questions 3, 7b, 12, 17, 20, 22 the correct answer, unless clearly obtained by an incorrect method, should be taken to
imply a correct method
Q
Working
Answer
Mark
Notes
1 (a)
x7
1 B1
(b)
eg 78 ? 74 = 712 or 78 ? 73 = 75 or 75 ? 74 or 74 ? 73
= 7 or 78 ? 7 or 7'12' ? 73 = 7'12'-3
79
2 M1 for one correct step ? must be written as a power of 7
A1 for 79
Total 3 marks
2
32.4 ? 1003
32 400 000
2
M1 for 32.4 ? 1003 oe
A1 for 32 400 000 accept 3.24 ? 107
Total 2 marks
3
14 ()19 or (4) 10 ()(3)12 or (4)10a ()(3)12a
35
15
15
15a
15a
3 M1 for correct improper fractions or fractional part of numbers written correctly over a common denominator
eg 145 193 or 70 57 or 70a 57a or
3 5
15 15 15a 15a
410 312 7 22 oe 15 15 15
70 57 127 8 7 or 7 22 8 7 15 15 15 15 15 15
or if shows 8 7 127 at the beginning then show that the 15 15
addition comes to 127 15
Shown
M1 for correct fractions with a common denominator of 15 or a multiple of 15
A1 dep on M2 for a correct answer from fully correct working or shows that RHS = 127 and fully correct working 15 127 shows LHS = 15
Total 3 marks
4
30 + 4x + 10 + x + 20 (= 5x + 60) or 180 ? 30 (=150)
4 M1 Allow 5x + 60 = n
M2 for
where n 180 or for 5x + 30 = 150
subtracting 30 from 180 oe
e.g. 30 + 4x + 10 + x + 20 = 180 or 5x + 60 = 180 oe
M1 for setting up the
equation or for
or 180 ? 30 ? 10 ? 20 (=120)
subtracting all
numerical values of
angles from 180
5x = `120' or `120' ? 5
M1 for correctly simplifying to ax = b or for
dividing `120' by 5
24
A1 for 24
Total 4 marks
5
Fully correct angle 2 B2 Fully correct angle bisector with all
bisector with all
arcs shown.
relevant arcs
B1 for all arcs and no angle bisector
shown
drawn or for a correct angle bisector
within guidelines but not arcs or
insufficient arcs
Total 2 marks
6
1 ? (0.24 + 0.31) (= 0.45)
Or
(0.24 + 0.31) ? 180 (= 99)
`0.45' ? 3 (= 0.15) Or `0.45' ? 180 (= 81) Or 180 - 99 (= 81) `0.15' ? 180 Or `81' ? 3
4 M1 or for a correct equation for missing values eg x + 0.24 + 2x + 0.31 = 1 oe (can be implied by 2 probabilities that total 0.45 in table if not contradicted in working space)
M1 (or 0.15 correctly placed in table as long as not contradicted)
M1
27
or for an answer of
180
27
A1
Total 4 marks
................
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