CAMBRIDGE INTERNATIONAL EXAMINATIONS
Cambridge International General Certificate of Secondary Education
MARK SCHEME for the October/November 2014 series
0581 MATHEMATICS
0581/33 Paper 3 (Core), maximum raw mark 104
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 will not enter into discussions about these mark schemes.
Cambridge is publishing the mark schemes for the October/November 2014 series for
most Cambridge IGCSE®, Cambridge International A and AS Level components and some
Cambridge O Level components.
® IGCSE is the registered trademark of Cambridge International Examinations.
Page 2 Mark Scheme Syllabus Paper
Cambridge IGCSE – October/November 2014 0581 33
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
Qu. Answers Mark Part Marks
1 (a) (i) 4, 5, 3, 6, 2 2 B1 for 3 correct or for fully correct tally or
for 4 5 6 3 2 in tally column
(ii) Correct bar chart 3FT B1 for linear vertical scale to at least 6
B2 for all bars correct height and equal
width bars
Or B1 for unequal widths or at least four
bars correct height and equal width
14
(b) oe or 0.583[3...] or 58.3[3...]% 1
24
(c) No, 6 of each but different nos of boys 1
and girls questioned oe
(d) (i) 2 2 M1 for 12th/13th value used
(ii) 2.28 3 M1 for [0 × 4] + 1 × 6 + 2 × 5 + 3 × 3 +
4 × 5 + [5 × 0] + 6 × 2
M1 dep for their 57 ÷ 25
2 (a) 249.75 cao 1
(b) 1080 × 0.8 [= 864] 1 Or 1080 – 1080 × 0.2
(c) (i) 230.4[0] 2 M1 for 864 ÷ (9 + 4 + 2)
3 9
(ii) cao 2 B1 for oe
5 15
(d) (i) 488.75 2 M1 for 425 (1 + 0.15) oe
(ii) 19.15 2FT M1 for their (d)(i) × 0.52 [= 254.15]
(e) (i) 12.5 1
(ii) 172.93 3 M2 for 1225 × 1.0453 [= 1397.93]
Or M1 for 1225 × 1.045 × 1.045 seen
© Cambridge International Examinations 2014
Page 3 Mark Scheme Syllabus Paper
Cambridge IGCSE – October/November 2014 0581 33
3 (a) 10 1
(b) Before, steeper gradient oe 1
(c) 11 20 1
18
(d) (i) 1 hour 48 minutes 2 M1 for [× 60] oe
10
(ii) Correct ruled lines drawn 2 B1 line from (11 20, 18) to (12 10, 18)
B1FT for
line (their 12 10, 18) to (13 58, 0)
(e) (i) 10 57 1
(ii) 24 1
(f) Bearing 110° 1
Length 3.25 cm 1
4 (a) (i) 85 1
(ii) 10 1FT FT 95 – their (i)
(iii) 320 1FT FT 330 – their (ii)
(iv) 95 1
(v) 95 1FT FT their (iv)
(vi) 55 1FT FT 150 – their (iv)
(vii) BCE and GCF or 1
BCD and GCH or CED and CFH
(b) (i) 30° 2 M1 for 360 ÷ 12
(ii) 150° 1FT FT 180 – their (i)
© Cambridge International Examinations 2014
Page 4 Mark Scheme Syllabus Paper
Cambridge IGCSE – October/November 2014 0581 33
5 (a) (i) –2 2 M1 for change in y / change in x for two
correct points
(ii) –2x + 3 1FT FT their gradient
(b) (i) 6, 7, 6, –9 3 B2 for 3 correct
Or B1 for 2 correct
(ii) 8 points correctly plotted 3FT B2FT for 6 or 7 points correctly plotted
B1FT for 4 or 5 points correctly plotted
Correct smooth curve 1
(iii) –3.8 to –3.5 and 1.5 to 1.8 2FT B1FT for one correct
(c) (1.6 to 1,9, –0.7 to –0.2) 2FT FT intersection of line with their curve
and B1 for one correct
(–1.9 to –1.6, 6.2 to 6.7)
6 (a) 2x – 3 1
(b) 5x – 4 2 M1FT for 2x – 3 + x + 2 + their (2x – 3) oe
(c) (i) 4x + 4 2 M1 for 2 × [3(x – 4) + 14 – x] oe
(ii) 8 2FT FT correct solution of their equation
M1FT for their (5x – 4) = their (4x + 4)
(d) 12, 6 2FT B1FT for each
(e) 72 1FT FT their length × width
7 (a) 10 12 20 5 B4 for 5 correct
14 18 34 B3 for 4 correct
B2 for 3 correct
B1 for 2 correct
(b) (i) 2n + 4 oe final answer 2 B1 for 2n + k or jn + 4 j ≠ 0
(ii) 4n + 2 oe final answer 2 B1 for 4n + k or jn + 2 j ≠ 0
(c) B [by] 15 [tables] 3 M1FT for their (2n + 4) = 66
or their (4n + 2) = 66
and
A1FT for n = 31 or n = 16
© Cambridge International Examinations 2014
Page 5 Mark Scheme Syllabus Paper
Cambridge IGCSE – October/November 2014 0581 33
8 (a) (i) [Triangular] prism 1
(ii) Correct net 3 B1 for 3 rectangles and two triangles, one
on each side, even if incorrect sizes
B1 for three correct ruled rectangles
B1 for two correct ruled equilateral triangles
(iii) 109.86 cao 1
(iv) 115 cao 1
(b) (i) 70.7 or 70.68 to 70.695 3 M2 for π × 1.52 × 10
Or B1 for 1.5 seen
Or SC2 for answer 283 or 282.74 to 282.78
(ii) 37.7 or 37.69 to 37.704 3 M2 for π × 3 × 4
Or M1 for π × 3
9 (a) (i) Line x = 1 drawn 1
(ii) Correct reflection 1FT FT reflection in their drawn line
(iii) Correct rotation 2 B1 for clockwise rotation 90° about origin
or correct orientation incorrect position
(b) (i) Translation B1 Accept 3 left 4 down
− 3
B1
− 4
(ii) Enlargement B1
[scale factor] 2 B1
[centre] (6, 0) B1
© Cambridge International Examinations 2014
