Cambridge Assessment International Education

Cambridge International General Certificate of Secondary Education

MATHEMATICS 0580/33
Paper 3 (Core) May/June 2019
MARK SCHEME
Maximum Mark: 104

Published

This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the
examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the
details of the discussions that took place at an Examiners’ meeting before marking began, which would have
considered the acceptability of alternative answers.

Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for
Teachers.

Cambridge International will not enter into discussions about these mark schemes.

Cambridge International is publishing the mark schemes for the May/June 2019 series for most
Cambridge IGCSE™, Cambridge International A and AS Level and Cambridge Pre-U components, and
some Cambridge O Level components.

This document consists of 6 printed pages.

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0580/33 Cambridge IGCSE – Mark Scheme May/June 2019
PUBLISHED

Generic Marking Principles

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 PRINCIPLE 1:

Marks must be awarded in line with:

• 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.

GENERIC MARKING PRINCIPLE 2:

Marks awarded are always whole marks (not half marks, or other fractions).

GENERIC MARKING PRINCIPLE 3:

Marks must be awarded positively:

• 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.

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:

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 6:

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.

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Abbreviations
cao correct answer only
dep dependent
FT follow through after error
isw ignore subsequent working
oe or equivalent
SC Special Case
nfww not from wrong working
soi seen or implied

Question Answer Marks Partial Marks

1(a) 1 302 596 1

1(b)(i) −5 2 B1 for −7
−7 B1FT for 2 + their −7

1(b)(ii) −180 3 B1 for −15

−15 12 B1 for 12
and B1FT for their −15 × their 12

1(c) 5 2 M1 for 3 in correct order or for

1.83 × 10−1 18.4% 5−1
27 5
three of [ =]0.185.... , [18.4% =] 0.184,
27
[1.83 × 10−1 =] 0.183, [5−1=] 0.2

1(d) 46.7 or 46.71... 1

1(e)(i) 14 2 B1 for answer of 2 or 7 or 2 × 7

or 2 × 2 × 7 and 2 × 7 × 7
or list (28 =) 2, 2, 7 and (98 =)2, 7, 7

1(e)(ii) 196 2 B1 for 28, 56, 84, 112,… and 98, 196
or [1 ×]2 × 2 × 7 × 7
or 196k

1(f) 3880 or 3879[⋅…] 2 M1 for 2.25 × 108 ÷ 5.8 × 104 oe

or 3.88(0...) × 103 or 3.879… × 103 or figs (388 or 3879…) as the answer

2(a) Trapezium 1

2(b)(i) 16 or 15.8 to 16.2 1

2(b)(ii) 14 1

2(c)(i) Translation 2 B1 for each

 −9 
 
 −8 

2(c)(ii) Rotation 3 B1 for each

90˚ clockwise oe
[about] (0, 0) oe

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Question Answer Marks Partial Marks

2(d)(i) Correct shape 2 B1 for reflection in x = k or y = 1

Vertices
(−1, 4), (−1, 6), (−5, 6), (−5, 1)

2(d)(ii) Correct shape 2 B1 for any enlargement, SF 1

2
with different
Vertices centre
(3, 0.5), (3, 3), (1, 3), (1, 2)

3(a) 12 : 5 : 4 2 B1 for 36 : 15 : 12 oe

3(b)(i) 9 1
× 36
(9 + 2 + 1)

3(b)(ii) [Cellos] 6 2 B1 for each

[Double basses] 3

3(c) 8 2 B1 for 3 [oboes] seen

3(d) 5 2 B1 for 4 [trumpets] seen

3(e)(i) [Woodwind] 3255 1

[Brass] 2652

3(e)(ii) 10 623 1 FT their (e)(i)

3(f) 3718.05 2 M1 for (1 – 0.65) × their (e)(ii) oe

4(a) −3 5 2 2 B1 for 2 correct

4(b) Correct curve 4 B3FT for 6 or 7 points correct

B2FT for 4 or 5 points correct
B1FT for 2 or 3 points correct

4(c)(i) Ruled line x = 1 drawn 1

4(c)(ii) x=1 1

4(d) −0.5 to −0.3 and 2.3 to 2.5 2 B1 for each

If 0 scored, B1 for y = 4 drawn

4(e)(i) Correct ruled continuous line 1

4(e)(ii) [y =] 2x + 4 3 B2 for [y =] 2x + k
rise
or M1 for
run
B1 for kx + 4 , k ≠ 0, or c = 4

5(a) 10.8 to 12 2 B1 for 3.6 cm to 4.0 cm measured

5(b) 191 to 220 3 B1 for 11.8 to 12.2 measured or 35.4 to 36.6

M1 for 0.5 × their (a) × their actual EC oe

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Question Answer Marks Partial Marks

5(c) Correct ruled bisector of angle BCD 2 B1 for correct angle bisector with
with correct arcs no/incorrect arcs,
or two pairs of supporting arcs
or correct line short of AB with or without
arcs

5(d)(i) 25.1 or 25.13 to 25.14 2 M1 for 8 × π oe

5(d)(ii) 50.3 or 50.26 to 50.272 2 M1 for π (0.5 × 8)2 oe

6(a)(i)(a) 34 2 B1 for each

Isosceles [triangle]

6(a)(i)(b) Their p 2 B1 for each

Alternate [angles]

6(a)(ii) [r =] 112 2 B1 for 180 − 34 − their (a)(i)(a)

[s =] 56 B1 for 90 − their (a)(i)(b)

6(a)(iii) 34 2 B1 for each

Corresponding [angles]
or angles [on a straight] line [add
up to] 180

6(b) 90 2 B1 for each

Angle [between] tangent [and]
radius (or diameter)

7(a)(i) 120 2 M1 for 90 ÷ their time for A to B [× 60]

or B1 for 2[km/min]

7(a)(ii) 10 1

7(a)(iii) Ruled line from (14 40, 90) 1

to (15 20, 155)

7(a)(iv) A [and] B 1

7(b)(i) 2 [hours] 30 [minutes] 2 M1 for 155 ÷ 62

7(b)(ii) 15 15 1 FT their (b)(i) + 12 45

7(b)(iii) Ruled line from (12 45, 155) to 1

(their7(b)(ii), 0)

7(b)(iv) 58 to 63 1 FT their crossing point

8(a)(i) Correct frequencies 2 B1 for 1 frequency incorrect

8 5 3 5 2 1 or 2 incorrect but total still 24
or 8 5 3 5 2 1 in tally column

If 0 scored, B1 for completely correct tallies

8(a)(ii) 1 1

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Question Answer Marks Partial Marks

8(a)(iii) 5 1

8(a)(iv) 2 1

8(a)(v) 2.625 3 M1 for ∑fx

1×8+2×5+3×3+4×5+5×2+6×1

M1 dep for their ∑fx ÷ 24

8(a)(vi) 5 1 FT their table

oe
24

8(b) Correct bar chart 2 B1 for 2 or 3 correct bars

or for all 4 heights correct

8(c) Correct generalised comparison 1

9(a) 23 4 M3 for 2 × 32.4 + 4 × 24.4 – 115 – 24.4 oe

OR
B2 for 162.4[0] or 2 × 32.4 + 4 × 24.4 oe
or M1 for 2 × 32.4 or 4 × 24.4

B1 for 139.4[0]

9(b) 4 [h] 55[min] 1

9(c) 75 2 M1 for 318 ÷ 4.24

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