Cambridge IGCSE - Papers
Specimen
0580/04
[Turn over
For examination from 2020
This document has 12 pages. Blank pages are indicated.
Cambridge IGCSE?
MATHEMATICS
Paper 4 (Extended)
MARK SCHEME
Maximum Mark: 130
? UCLES 2017
These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the
mark scheme or generic level descriptors for a question. Each question paper and mark scheme will also comply with these marking principles.
0580/04
? UCLES 2017
Generic Marking Principles
GENERIC MARKING PRINCIPLE 1:
Marks must be awarded in line with:
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the specific content of the mark scheme or the generic level descriptors for the question
the specific skills defined in the mark scheme or in the generic level descriptors for the question
the standard of response required by a candidate as exemplified by the standardisation scripts.
Marks awarded are always whole marks (not half marks, or other fractions).
GENERIC MARKING PRINCIPLE 3:
Page 2 of 12
Marks must be awarded positively:
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marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the
syllabus and mark scheme, referring to your Team Leader as appropriate
marks are awarded when candidates clearly demonstrate what they know and can do
marks are not deducted for errors
marks are not deducted for omissions
answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated
by the mark scheme. The meaning, however, should be unambiguous.
Cambridge IGCSE ¨C Mark Scheme
SPECIMEN
GENERIC MARKING PRINCIPLE 2:
GENERIC MARKING PRINCIPLE 4:
Rules must be applied consistently e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors.
GENERIC MARKING PRINCIPLE 5:
For examination
from 2020
Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited
according to the quality of the candidate responses seen).
Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in
mind.
0580/04
? UCLES 2017
GENERIC MARKING PRINCIPLE 6:
MARK SCHEME NOTES
The following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons
outside the scope of these notes.
Types of mark
B
Method mark, awarded for a valid method applied to the problem.
Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be
earned or implied.
Mark for a correct result or statement independent of Method marks.
Page 3 of 12
When a part of a question has two or more ¡®method¡¯ steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly
where there are several B marks allocated. The notation ¡®dep is used to indicate that a particular M or B mark is dependent on an earlier mark in the scheme.
Abbreviations
cao
dep
FT
isw
nfww
oe
SC
soi
correct answer only
dependent
follow through after error
ignore subsequent working
not from wrong working
or equivalent
Special Case
seen or implied
Cambridge IGCSE ¨C Mark Scheme
SPECIMEN
M
A
For examination
from 2020
Answer
Marks
Partial Marks
48
2
1(a)(ii)
32.4[0]
1
1(a)(iii)
13
30
2
1(a)(iv)
24
3
1(b)
660
3
1(c)
663.9[0]
2
M1 for 550 ¡Á 1.01910 oe
1(d)
1.5[0]
3
638.3 [0]
oe
550
10
or M1 for 550 ¡Á m = 638.3[0]
M1 for
72
3
M1 for
72 ? their (ii) ? 8.4
oe
72
19.2
oe
0.8
or M1 for recognising 19.2 is 80%
M2 for
550 # 2 # 10
+ 550 oe
100
550 # 2 # 10
oe
or M1 for
100
M2 for
M2 for
10
Cambridge IGCSE ¨C Mark Scheme
SPECIMEN
Page 4 of 12
1(a)(i)
0580/04
? UCLES 2017
Question
For examination
from 2020
Answer
Marks
Partial Marks
2(a)(i)
400
1
2(a)(ii)
70
2
2(a)(iii)
405 to 410
1
2(a)(iv)
170
2
2(b)(i)
Mid-values 40, 80, 125, 200 soi
M1
¦²fx with correct frequencies and x¡¯s in correct intervals or on boundaries of correct
intervals
M1
¡Â 200
M1
Dep on second M1
106 nfww
A1
SC2 for correct answer without working
Correct histogram
R
V
3840
480 W
oe isw SS
10 712
1339W
T
X
B1 for 30 seen
4
B1 for correct widths
and
B1 for each rectangle of correct height at 0.8, 1.6,
1.6 (up to B3)
After 0 scored, SC1 for 3 correct frequency
densities seen
3
24 # 80 m
oe
M2 for [2¡Á] c
104 103
24 80
seen
or M1 for
,
104 103
Page 5 of 12
2(b)(iii)
M1 for upper quartile = 420 or lower quartile =
350
Cambridge IGCSE ¨C Mark Scheme
SPECIMEN
2(b)(ii)
0580/04
? UCLES 2017
Question
For examination
from 2020
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