# June 09-paper 3&4-GCSE Maths-mark scheme

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GCSE
Mathematics A
General Certificate of Secondary Education J512
Mark Scheme for the Components
June 2009
512/MS/R/09
Oxford Cambridge and RSA Examinations

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OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of
qualifications to meet the needs of pupils of all ages and abilities. OCR qualifications include
AS/A Levels, GCSEs, OCR Nationals, Key Skills, Entry Level qualifications, NVQs and
vocational qualifications in areas such as IT, business, languages, teaching/training,
It is also responsible for developing new syllabuses to meet national requirements and the
needs of students and teachers.…read more

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CONTENTS
General Certificate of Secondary Education
Mathematics A (J512)
MARK SCHEMES FOR THE COMPONENTS
Component/Content Page
J512/01 Paper 1 (Foundation Tier) 1
J512/02 Paper 2 (Foundation Tier) 5
J512/03 Paper 3 (Higher Tier) 9
J512/04 Paper 4 (Higher Tier) 13

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J512/01 Mark Scheme June 2009
J512/01 Paper 1 (Foundation Tier)
1 (a) 8.5 1 0.2cm

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J512/01 Mark Scheme June 2009
7 (a) (i) Obtuse angle marked O 1
(ii) Reflex angle marked R 1
(b) 60 1 2
(c) (i) 40 1 `180' can be implied by correct
"line" with ("angles" or "180") 1 answer/working
Where totals are given with reasons
they must be correct
(ii) 110 1
("point" or "circle") with ("angles" or 1 `360' can be implied by correct
8 (a) 2.50(p) 3 M1 for 35 50 or 35 x 0.5 or 1750 or

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J512/01 Mark Scheme June 2009
13 (a) Consistent frequency scale or key 1
Heights ­ 8, 19, 11, 6, 3 1 In correct interval
C.Fs. ­ 8, 27, 38, 44, 47 Follow through using their `scale'
Freq densities ­ 4, 9.5, 5.5, 3, 1.…read more

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J512/01 Mark Scheme June 2009
19 (a) 2 × 2 × 2 × 5 or 23 (×) 5 2 M1 for attempt at factor tree/ladder
or correct factor pair or better seen
Or SC1 for 2, 2, 2, 5 identified
(b) (i) 8 cao 2 B1 for 2 × 2 × 2 oe or answer of 2 or 4
(ii) 120 cao 2 B1 for 2 × 2 × 2 × 3 × 5 oe or a multiple
of 120
Or M1 for listing multiples…read more

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J512/02 Mark Scheme June 2009
J512/02 Paper 2 (Foundation Tier)
1 (a) 6 1
(b) 41 1
(c) 11 and 20 1
(d) 41 and 11 1
(e) 20 or 30 1
(f) 16 1
(g) 5 or 11 or 41 1
(h) 27 1
2 (a) (i) 12 1
(ii) 9 1
(b) 2 2 M1 for 33 ­ (sum of their 4 values) soi
Or SC1 for 31 seen
3 53/100 4 B1 for each entry
75%

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J512/02 Mark Scheme June 2009
8 (a) 32 4 B1 for each correct box
1+3+5+7+9
72 1 + 3 + 5 + 7 + 9 + 11 + 13
(b) 6 2 B1 for each
-3 or (their6) ­ 9
9 (a) 4 5 6 7 8 1 Condone one error
5 6
6 7
8
(b) 5/36 or 0.14 or 0.139 or 0.1389 or 2 B1 for 5 and 36 seen
0.1388(...) Or 5/n or n/36 seen
(c) 3/36 or 1/12 or 0.…read more

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J512/02 Mark Scheme June 2009
14 (a) 29 2 M1 for 180 ­ 90 ­ 61 or 90 ­ 61
(Angles in) a triangle or 3 sided/ 1
angled shape add(s) up to 180
(b) 135 3 M1 for 360 ­ (120 + 100 + 95)
or 360 ­ 315 or 45 seen www
And M1 (dependent on first M1) for
180 ­ their 45
(Angles in) a quadrilateral or 4 sided/ 1
angled shape add(s) up to 360