Free Essay

Submitted By ShakeelMadanee

Words 770

Pages 4

Words 770

Pages 4

CAMBRIDGE INTERNATIONAL EXAMINATIONS

GCE Ordinary Level

e ap .c rs om

MARK SCHEME for the October/November 2012 series

4024 MATHEMATICS (SYLLABUS D)

4024/12 Paper 1, maximum raw mark 80

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 2012 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components.

Page 2

Mark Scheme GCE O LEVEL – October/November 2012

Syllabus 4024

Paper 12

Abbreviations cao correct answer only cso correct solution only dep dependent ft follow through after error isw ignore subsequent working oe or equivalent SC Special Case www without wrong working soi seen or implied Qu. 1 (a) 10.6 (b) 2 (a) (b) 4 cao 3 (a) 34 (b) 10 4 (a) 3 oe (b) oe 5 6 cao Answers Mark 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1

© Cambridge International Examinations 2012

Part Marks

–1, –

,–

, 0,

C1 for 4 correct when one is covered or C1 for reversed answer

(a) 3 (h) (b) 35 or ft

7

(a) 8k + 1 (b) 2x2 + 5x – 12

8

(a) 255° (b) (0)7 h 53 min

9

(a) 6 (b) 11

10

(a) 22 × 32 × 5 oe (b) 11 www

Page 3

Mark Scheme GCE O LEVEL – October/November 2012 1 1 2 1 1 1 1 1 1 2 1

A B 5 A C 6 B A 5 B C 7 C A 6 C B 7

Syllabus 4024

Paper 12

11

(a) 6 (b)

12 13

18 (a) 9.45 (b) 1.95 or their (a) – 7.5

B1 for “k” = 2 or B1 for

oe

14

(a) Both p = 6 and q = 4 (b) 33 or f.t. 29 + their q (provided q has a value) (c) 34

15

(a) 4p (4 + p) (b) (x + 2a)(y + 3a)

B1 for any partial factorisation

16

(a) 0 (b)

1

(c) or f.t from table provided (number of 7s) > 0 17 (a) 0.0406 (b) 6.8(00..) × 10– 4 (c) 4 18 (a) 3 (b) 13 (c) 4 19 (a) oe oe

1

1 1 1 1 1 1 2

C1 for 2 or 3 correct elements

2 (b) or oe B1 for det M = 4 or for or B1 for used or seen

© Cambridge International Examinations 2012

× (2 × 2 matrix)

Page 4

Mark Scheme GCE O LEVEL – October/November 2012 1 1 1 1 2 1 1 dep. 1

Syllabus 4024

Paper 12

20

(a) (i) 4 (ii) 2 (b) Both a = 1 and b = 2. c=6

21

(a) (b) (one way) stretch Parallel to y-axis/x-axis invariant and (stretch/scale) factor 1 . 2

C1 for 4 or 5 correct elements in a 2 × 3 derived matrix

22

(a) (11, 3)

(b) parallelogram (c) 27

1 2 M1 for their (BC) × their 9 or M1 for 9 × (their BC + 2) – 2 ×

1 2

×9×2

23

(a) 124 (b) 118 (c) 31 (d) 38

1 1 1 1 2

24

(a) 18

M1 for or M1 for (n – 2) × 180 = 160n oe

(b) (i) 10 (ii) 20 25 (a) or any equiv. 1

(b) (i) correct method u=2 (ii) continuous graph from (0, 0) to (10, 40),without any horizontal or vertical lines. Curve, concave upwards

M1 A1 1 1 ind.

e.g. 40 =

× (u + 3u) × 10, × 10 × 2u

or 40 = 10u +

© Cambridge International Examinations 2012

Page 5

Mark Scheme GCE O LEVEL – October/November 2012

Syllabus 4024

Paper 12

26

(a) 2011 (b) 36 (c) (i) 9x – 9y, or 9y – 9x , or any equiv. (ii) “123 is not a multiple of 9” oe

2 1 1 1 1 1 1 1 1

B1 for (n = ) 223 seen

27

(a) 126° to 128° inclusive (b) acceptable quadrilateral ABCD (c) (i) acceptable circular arc, centre C (ii) acceptable bisector of angle ABC (d) DP = 2 to 2.5cm with correct P

dep. on an acceptable D and both (c) marks

© Cambridge International Examinations 2012

Premium Essay

...Rashesh Shah did it. Sanjeev Bikhchandani did it. Shantanu Prakash did it. 'Stay Hungry, Stay Foolish' is the story of 25 such IIM Ahmedabad graduates who chose the rough road of entrepreneurship. They are diverse in age, in outlook and the industries they made a mark in. But they have one thing in common: they believed in the power of their dreams. This book seeks to inspire young graduates to look beyond placements and salaries. To believe in their dreams. The Centre for Innovation, Incubation and Entrepreneurship (CIIE) at IIM Ahmedabad aims at fostering innovation-driven entrepreneurship through incubation, research and dissemination of knowledge. Rs.125/- - Rashmi Bansal ISBN 978-81-904530-1-1 CONTENTS - THE BELIEVERS - THE OPPORTUNISTS - THE ALTERNATE VISION THE BELIEVERS People who knew entrepreneurship was the Chosen Path. They took the plunge straight after their MBA or after working barely a couple of years. And they persevered until they made it big! p02 THE BOOK OF JOB Sanjeev Bikhchandani (PGP 1989), naukri.com Sanjeev is India's most successful internet entrepreneur. For close to a decade he struggled on the sidelines but never gave up on his Big Idea. In 2006, naukri.com became the first dotcom to IPO on an Indian stock exchange. p18 ROCK WITH IT, ROLL WITH IT Shantanu Prakash (PGP 1988), Educomp Despite a regular middle class upbringing, Shantanu went into business while doing his BCom. The entrepreneurial streak continued......

Words: 114565 - Pages: 459

Premium Essay

...Rashesh Shah did it. Sanjeev Bikhchandani did it. Shantanu Prakash did it. 'Stay Hungry, Stay Foolish' is the story of 25 such IIM Ahmedabad graduates who chose the rough road of entrepreneurship. They are diverse in age, in outlook and the industries they made a mark in. But they have one thing in common: they believed in the power of their dreams. This book seeks to inspire young graduates to look beyond placements and salaries. To believe in their dreams. The Centre for Innovation, Incubation and Entrepreneurship (CIIE) at IIM Ahmedabad aims at fostering innovation-driven entrepreneurship through incubation, research and dissemination of knowledge. Rs.125/- - Rashmi Bansal ISBN 978-81-904530-1-1 CONTENTS - THE BELIEVERS - THE OPPORTUNISTS - THE ALTERNATE VISION THE BELIEVERS People who knew entrepreneurship was the Chosen Path. They took the plunge straight after their MBA or after working barely a couple of years. And they persevered until they made it big! p02 THE BOOK OF JOB Sanjeev Bikhchandani (PGP 1989), naukri.com Sanjeev is India's most successful internet entrepreneur. For close to a decade he struggled on the sidelines but never gave up on his Big Idea. In 2006, naukri.com became the first dotcom to IPO on an Indian stock exchange. p18 ROCK WITH IT, ROLL WITH IT Shantanu Prakash (PGP 1988), Educomp Despite a regular middle class upbringing, Shantanu went into business while doing his BCom. The entrepreneurial streak continued......

Words: 114565 - Pages: 459