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415728-2020-specimen-paper-1-mark-scheme

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Cambridge IGCSE®
0580/01
MATHEMATICS
For examination from 2020
Paper 1 (Core)
MARK SCHEME
Maximum Mark: 56
Specimen
This document has 8 pages. Blank pages are indicated.
© UCLES 2017
[Turn over
© UCLES 2017
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.
Page 2 of 8
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 – Mark Scheme
SPECIMEN
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).
GENERIC MARKING PRINCIPLE 5:
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 4:
•
•
•
•
•
Marks must be awarded positively:
GENERIC MARKING PRINCIPLE 3:
Marks awarded are always whole marks (not half marks, or other fractions).
GENERIC MARKING PRINCIPLE 2:
•
•
•
Marks must be awarded in line with:
GENERIC MARKING PRINCIPLE 1:
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.
Generic Marking Principles
0580/01
For examination
from 2020
© UCLES 2017
Page 3 of 8
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
Abbreviations
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.
MMethod mark, awarded for a valid method applied to the problem.
AAccuracy mark, given for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned
or implied.
B Mark for a correct result or statement independent of Method marks.
Types of mark
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.
MARK SCHEME NOTES
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.
GENERIC MARKING PRINCIPLE 6:
0580/01
Cambridge IGCSE – Mark Scheme
SPECIMEN
For examination
from 2020
© UCLES 2017
Page 4 of 8
3
All 3 correct lines of symmetry drawn
6(b)
Answer
Answer
Answer
Answer
Answer
Answer
1
1
Marks
3
Marks
1
1
Marks
2
Marks
1
Marks
1
Marks
Partial Marks
B2 for 4 faces correctly drawn and joined edge to
edge
or B1 for 2 faces correctly drawn and joined edge
to edge
Partial Marks
Partial Marks
B1 for 8 or 9 correct numbers ordered
or for 10 correct numbers not ordered
Partial Marks
Partial Marks
Partial Marks
Cambridge IGCSE – Mark Scheme
SPECIMEN
6(a)
Question
5
Correct net drawn
6790
4(b)
Question
6800
13 0 2
12 0 4 7 9
11 4 6 8
10 7
75
17 017
4(a)
Question
3
Question
2
Question
1
Question
0580/01
For examination
from 2020
© UCLES 2017
Page 5 of 8
0.7 oe
12(b)
13
Answer
Answer
3 × 180 oe. Refers to 3 triangles. Interior angles of triangle total 180 oe
6000
1
3
Answer
1
Marks
1
1
Marks
1
Marks
2
Marks
1
1
Marks
3
Marks
1
1
Marks
1
Partial Marks
Partial Marks
Partial Marks
B1 for two sides of the correct length drawn as
part of a triangle
Partial Marks
Partial Marks
M1 for 1000 3 or better
M1 for [6 ×] 102
Partial Marks
Partial Marks
Cambridge IGCSE – Mark Scheme
SPECIMEN
Question
Answer
Answer
Answer
Answer
Triangle drawn accurately with a ruler and a pair of arcs
40 cao
4
5 oe
600
1
7 oe
3k
where k is an integer ≠ 1
5k
12(a)
Question
11
Question
10
Question
9(b)
9(a)
Question
8
Question
7(b)
7(a)
Question
0580/01
For examination
from 2020
© UCLES 2017
Page 6 of 8
21
Question
340 or 339.7 to 339.84
A ∪ B oe
20(b)
3y − 7
oe
5
A oe
w=
Answer
Answer
2
Marks
1
1
Marks
2
Partial Marks
Partial Marks
M1 for 4 × π × 5.22
Partial Marks
Partial Marks
M1 for 5w + 7 = 3y
or 5w – 3y = –7
or 5w = 3y – 7
3y 7
or w – 5 + 5 = 0
Second value
1
Marks
Partial Marks
Accept 3 is a prime number
Accept decimal going on forever with no pattern
oe
429.5
Answer
Partial Marks
Partial Marks
M1 for 180 – (48 + 48)
First value
Marks
1
Marks
2
Marks
1
Marks
Partial Marks
M1 for xky7 or x8yk
1
Answer
Answer
Answer
Answer
2
Marks
428.5
Cannot be written as a fraction oe
[Other angle could be] 84° oe
2.02[0] × 10
3
x8y7 final answer
Answer
Cambridge IGCSE – Mark Scheme
SPECIMEN
20(a)
Question
19
Question
18
Question
17
Question
16
Question
15
Question
14
Question
0580/01
For examination
from 2020
© UCLES 2017
Marks
Page 7 of 8
30
90 000
10 2
134
14
74
7
or 1
or 2
and 2
60
60
60
30
35 (or 95) 39
+
60
60
Common denominator 60
Answer
Answer
A1
M1
Marks
A1
M1
B1
Marks
Partial Marks
5.2 12.4
=
oe
PQ 21.7
Accept
Accept
Partial Marks
134k
14k
7
74k
or 1
or 2
and 2
30
60k
60k
60k
35k (or 95k) 39k
+
60k
60k
Accept k × 60
Partial Marks
Partial Marks
FT from their diagram
B1 for any 2 correct
M1 for
Partial Marks
Cambridge IGCSE – Mark Scheme
SPECIMEN
26
Question
25
Question
1
Answer
1
w20
45
24(b)
30
2
Marks
1
20
G
Answer
2
Marks
6(3x – 4) final answer
30
25
T
9.1 oe
Answer
24(a)
Question
23(b)
23(a)
Question
22
Question
0580/01
For examination
from 2020
© UCLES 2017
28
6.75π cao
Answer
2
Marks
2
n2 + 2 final answer
27(b)
Question
2
Marks
–4, 3, 22
Answer
27(a)
Question
M1 for
Partial Marks
30
× π × 92
360
M1 for n2 + k
B1 for 2 values correct
Partial Marks
0580/01
Cambridge IGCSE – Mark Scheme
SPECIMEN
Page 8 of 8
For examination
from 2020
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