# MARK SCHEME for the May/June 2009 question paper for the guidance of teachers MATHEMATICS 4024/02 Paper 2, maximum raw mark 100

Save this PDF as:

Size: px
Start display at page:

Download "MARK SCHEME for the May/June 2009 question paper for the guidance of teachers MATHEMATICS 4024/02 Paper 2, maximum raw mark 100"

## Transcription

1 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Ordinary Level MARK SCHEME for the May/June 009 question paper for the guidance of teachers 404 MATHEMATICS 404/0 Paper, maimum raw mark 00 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the eamination. It shows the basis on which Eaminers were instructed to award marks. It does not indicate the details of the discussions that took place at an Eaminers meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes must be read in conjunction with the question papers and the report on the eamination. CIE will not enter into discussions or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the May/June 009 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

2 Page Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (a) 4a + 9 6a final answer 5b(b ) final answer Condone missing final bracket After give sc for both correct forms seen. (c) (i) (6, ) Condone missing brackets ( ± 4) + ( ± 0) 0.7 to 0.8 A Accept 9 (d) p ± ( or + or ) q For numerical r p = and r = 6 (or 3) q = 05 or q = 4.3 to (a) (i) Figs 378/the product of at least of 0, 4, 7 and 60 4 [9] Completing the square 05 for ; for oe 6 36 dep. on correct formula s.o.i or used If final B0 + B0 then sc for 0.5 to 0.6 AND 4. to 4.; or for any two answers given to d.p. \$3.5 A Accept \$3. \$3.3 \$ \$ million; % cao 945 or A Accept (iii) :5 or m =, n = 5 B sc for partial simplification seen. 6:35, 54:35, 4:05, 8:45, 4:35, 6:5; or for, or :.5, 5 or 5: or m:5m 480 = cao A [8] sc for 9.6(euros) or (\$)800 seen. UCLES 009

3 Page 3 Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (a) (i) tan = 4 70 to 70.0 A For any complete methods allow appropriate M and A marks. sc for 9.9 to 0 (a) 4 sin 8 = PX PX or (sin 90) = 8.5 to d =, or PX cos 8, or tan 8 or PX to 7.6 d (= 3.4 to 3.5) 4 sin 8 4sin 6 sin 8 A A 3 GRADIAN ANSWERS (i) sc for. or. (a) (leading to.5) or 7.77 from Sine Rule (leading to 3.3) r 3 96 = or π.84 to.84 4 (a) (i) (a) 3 (lines of symmetry) order 3 A [9] (a) (c) Use of (9 ) 80 etc y = 60 oe y = 40 oe isw Sensible attempt at solving for or y = 36 A AG. Allow if 40 calculated, but not if quoted. The second B mark implies the first. (i) LFEB = 4 LBEA = 4 (iii) LAGD = 63 [0] 5 (a) (i) (a), 0.0 cao 50 (8 + 4) 00 oe 00 m A (c) 5 m/s Accept negatives 50u = u = (= 975) oe A 4 + (their 5) UCLES 009

4 Page 4 Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (i) 95 m 4.5 or (5.4 to 5.5) seen Distance Time 7.64 to 7.65 A 3 90 N.B. = 7.6 scores the 5 only [0] 6 (a) p = q = 30 r = 60 s = 6 all four B sc for or 3 correct = n + oe y = n(n + ) oe z = n(n + ) oe y 3 In, accept any unsimplified form but, once, if not given eplicitly (c) 0 [6] 7 (a) (i) 5 oe fraction Not 40%; 0.4 (a) h = 5 ( ) cm A sc for 3300 or for 9300 cm (i) 0 π to 0 A 0 π 9 (= ) sin40 (= 6.03 ) 8 to 8 A 4 POSSIBLE GRAD ANSWERS 88 to 88.3 from 9 sin40 (= 3.7 ); 77 to 78 from 8 sin70 sin0 (=.3 ) (iii) 4.9 from cos70; 6. from sin0 sc for 4.08 or for If A0, then sc for 55 to 56 seen or for 5.9 to 6. seen (iii) d = 9 9cos 70 = 5.9 to 5.93 A [] } }sc for 3.07 to 3.08 seen UCLES 009

5 Page 5 Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (a) (i) PQ = ( + ) m If AB used instead of, once BC = 68 (iii) QR = 68 + BC + all 3 (condone 0 + for ) B sc for or correct 68 Area = ( + ) ( + ) 68 or PQ QR 68 as an epression in 336 correct working to + + A or ( + ) + 0( + ) + 68 oe Answer given (c) p = 58 to 58 3 (d) Correct scales 7 correct plots (ignore = 9) within mm S P Condone reversed aes, if labelled Accept if curve goes through correct points Smooth curve C 3 Not grossly thick; no straight lines Ignore curve for < 3 and > 8 (e) Clear attempt to draw tangent at (4, 50) gradient = 6 to T G Accept integer fractions (f) (i) 43 Y answer < to 7.6 [] 9 (a) (i) AD 7 = sin 38 sin4 sin 38 AD = 7 dep. sin4.4 to.5 A 3 7 = ± () 9 0 cos } or cos = ± [( )/() 9 0] } cos C = = ( 0.6) to 7 A A GRADIAN ANSWERS (i) 9.7 to to 4 UCLES 009

6 Page 6 Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (i) (a) (c) (d) OQ = p + q RS = p q (a) q OS = p + q (a) OT = 4p In (i),, once, for unsimplified answers (O, P and T are) collinear oe OT = 4OP oe 0 (a) Correct scales and aes Correct bases (width + position) Heights (), 0, 8, 7, 4, S H 3 [] Marks in are dep on a correct (i) (d) Condone reversed aes if clearly labelled 7 < t Y 9 (c) (4 ) + (0 3.5) + (8 4.5) + (4 6) + (8 8) + (6 0.5) (= 90) A 3 8, 35, 36, 84, 64, 63 Condone up to 3 slips Indep of first M (d) (i) 0 Condone 0, none, nil oe 0.56 (e) (i) In (e),, once, for any answer (= ) (0.308 to 0.309) not in lowest terms, or in decimal form (a) (i) 88 4 (= ) (0.50 to 0.503) B [] sc for (0.5 to 0.5) 75 3 B sc for 3 correct elements AB = 0 + or BA = or B 0 3 = oe 3 = 3 dep. 0 e.g. 3, (0.33 or better) 3 UCLES 009

7 Page 7 Mark Scheme: Teachers version Syllabus Paper GCE O LEVEL May/June (i) (a) SF = Centre is (, ) B for each coord. sc for Shear, -ais inv., SF = Mention of a nd transformation loses both marks (iii) (a) k k + 4 = 0 k = 4 ET(L) = E((8, )) = ( 3, ) MA B [] sc for (.5, ) UCLES 009

### MARK SCHEME for the October/November 2012 series 9709 MATHEMATICS. 9709/11 Paper 1, maximum raw mark 75

CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary Level and GCE Advanced Level MARK SCHEME for the October/November 2012 series 9709 MATHEMATICS 9709/11 Paper 1, maximum raw mark 75 This mark

### MARK SCHEME for the October/November 2012 series 9709 MATHEMATICS. 9709/13 Paper 1, maximum raw mark 75

CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary Level and GCE Advanced Level MARK SCHEME for the October/November 2012 series 9709 MATHEMATICS 9709/13 Paper 1, maximum raw mark 75 This mark

### Version 1.0. General Certificate of Education (A-level) January 2012. Mathematics MPC4. (Specification 6360) Pure Core 4. Final.

Version.0 General Certificate of Education (A-level) January 0 Mathematics MPC (Specification 660) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together

### Mathematics 2540 Paper 5540H/3H

Edexcel GCSE Mathematics 540 Paper 5540H/3H November 008 Mark Scheme 1 (a) 3bc 1 B1 for 3bc (accept 3cb or bc3 or cb3 or 3 b c oe, but 7bc 4bc gets no marks) (b) x + 5y B for x+5y (accept x+y5 or x + 5

### Version. General Certificate of Education (A-level) January 2013. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.

Version General Certificate of Education (A-level) January Mathematics MPC (Specification 66) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with

### GCSE Mathematics A. Mark Scheme for June 2014. Unit A501/02: Mathematics A (Higher Tier) General Certificate of Secondary Education

GCSE Mathematics A Unit A50/0: Mathematics A (Higher Tier) General Certificate of Secondary Education Mark Scheme for June 04 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading

### Mark Scheme (Results) Summer 2014. Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H

Mark Scheme (Results) Summer 2014 Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, the UK

### Mark Scheme (Results) January 2014. Pearson Edexcel International GCSE Mathematics A (4MA0/3H) Paper 3H

Mark Scheme (Results) January 014 Pearson Edexcel International GCSE Mathematics A (4MA0/3H) Paper 3H Pearson Edexcel Certificate Mathematics A (KMA0/3H) Edexcel and BTEC Qualifications Edexcel and BTEC

### Version 1.0. klm. General Certificate of Education June 2010. Mathematics. Pure Core 3. Mark Scheme

Version.0 klm General Certificate of Education June 00 Mathematics MPC Pure Core Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with the relevant questions, by

### Version : 1.0 0609. klm. General Certificate of Education. Mathematics 6360. MPC1 Pure Core 1. Mark Scheme. 2009 examination - June series

Version :.0 0609 klm General Certificate of Education Mathematics 660 MPC Pure Core Mark Scheme 009 examination - June series Mark schemes are prepared by the Principal Examiner and considered, together

### Version 1.0. General Certificate of Education (A-level) June 2013. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.

Version.0 General Certificate of Education (A-level) June 0 Mathematics MPC (Specification 660) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with

### Mark Scheme (Results) November Pearson Edexcel GCSE In Mathematics Linear (1MA0) Higher (Calculator) Paper 2H

Mark Scheme (Results) November 2013 Pearson Edexcel GCSE In Mathematics Linear (1MA0) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson,

### Mark Scheme (Results) Summer 2013. GCE Core Mathematics 2 (6664/01R)

Mark (Results) Summer 01 GCE Core Mathematics (6664/01R) Edexcel and BTEC Qualifications Edexcel and BTEC qualifications come from Pearson, the world s leading learning company. We provide a wide range

### Mark Scheme. Mathematics 6360. General Certificate of Education. 2006 examination June series. MPC1 Pure Core 1

Version 1.0: 0706 abc General Certificate of Education Mathematics 660 MPC1 Pure Core 1 Mark Scheme 006 examination June series Mark schemes are prepared by the Principal Examiner and considered, together

### Mark Scheme (Results) June 2011. GCSE Mathematics (1380) Paper 3H (Non-Calculator)

Mark Scheme (Results) June 011 GCSE Mathematics (1380) Paper 3H (Non-Calculator) Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 47: Core Mathematics Mark Scheme for January 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### abc GCE 2005 Mark Scheme January Series Mathematics MPC1

GCE 005 January Series abc Mark Scheme Mathematics MPC1 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions, by a panel of subject teachers. This mark

### Mark Scheme (Results) November 2009

Mark Scheme (Results) November 2009 GCSE GCSE Mathematics (Linear) - 1380 Paper: Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range

### 9231 FURTHER MATHEMATICS

CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary Level and GCE Advanced Level MARK SCHEME for the October/November 2012 series 9231 FURTHER MATHEMATICS 9231/21 Paper 2, maximum raw mark 100

### Version 1.0 0110. hij. General Certificate of Education. Mathematics 6360. MPC1 Pure Core 1. Mark Scheme. 2010 examination - January series

Version.0 00 hij General Certificate of Education Mathematics 660 MPC Pure Core Mark Scheme 00 examination - January series Mark schemes are prepared by the Principal Examiner and considered, together

### Version 1.0: 0110. klm. General Certificate of Education. Mathematics 6360. MD02 Decision 2. Mark Scheme. 2010 examination - January series

Version.0: 00 klm General Certificate of Education Mathematics 6360 MD0 Decision Mark Scheme 00 examination - January series Mark schemes are prepared by the Principal Examiner and considered, together

### STRAND: ALGEBRA Unit 3 Solving Equations

CMM Subject Support Strand: ALGEBRA Unit Solving Equations: Tet STRAND: ALGEBRA Unit Solving Equations TEXT Contents Section. Algebraic Fractions. Algebraic Fractions and Quadratic Equations. Algebraic

### Mark Scheme (Results) November 2013. Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (Non-Calculator) Paper 1H

Mark Scheme (Results) November 2013 Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (Non-Calculator) Paper 1H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson,

### Mathematics B (Linear) J567/03: Mark Scheme for November 2013

GCSE Mathematics B (Linear) General Certificate of Secondary Education Component J567/03: Mathematics Paper 3 (Higher) Mark Scheme for November 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge

### GCE. Mathematics. Mark Scheme for June 2012. Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 47: Core Mathematics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### Mark Scheme (Results) June 2011. GCSE Mathematics (1380) Paper 1F (Non-Calculator)

Mark Scheme (Results) June 2011 GCSE Mathematics (1380) Paper 1F (Non-Calculator) Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range

### Version 1.0 0110. hij. General Certificate of Education. Mathematics 6360. MPC3 Pure Core 3. Mark Scheme. 2010 examination - January series

Version.0 00 hij General Certificate of Education Mathematics 6360 MPC3 Pure Ce 3 Mark Scheme 00 eamination - January series Mark schemes are prepared by the Principal Eaminer and considered, together

### 1MA0/3H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 3H (Non-Calculator) Set C Higher Tier Time: 1 hour 45 minutes

1MA0/H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper H (Non-Calculator) Set C Higher Tier Time: 1 hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres,

### GCE Mathematics. Mark Scheme for June 2014. Unit 4722: Core Mathematics 2. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 4722: Core Mathematics 2 Advanced Subsidiary GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### 2015 Mathematics. New Higher Paper 1. Finalised Marking Instructions

National Qualifications 0 0 Mathematics New Higher Paper Finalised Marking Instructions Scottish Qualifications Authority 0 The information in this publication may be reproduced to support SQA qualifications

### GCE. Mathematics. Mark Scheme for January Advanced Subsidiary GCE Unit 4732: Probability and Statistics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 4: Probability and Statistics 1 Mark Scheme for January 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,

### Paper 2 83602 Mark scheme

AQA Qualifications AQA CERTIFICATE FURTHER MATHEMATICS Paper 860 Mark scheme 860 June 04 Version/Stage:V.0 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the

### Mark Scheme (Results) November 2011. GCSE Mathematics (1380) Paper 3H

Mark Scheme (Results) November 011 GCSE Mathematics (1380) Paper 3H Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range of qualifications

### GCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4728: Mechanics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 4728: Mechanics 1 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### GCE. Mathematics. Mark Scheme for June 2013. Advanced GCE Unit 4729: Mechanics 2. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 4729: Mechanics 2 Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### AQA Qualifications GCSE MATHEMATICS. Topic tests Higher tier - Mark schemes

AQA Qualifications GCSE MATHEMATICS Topic tests Higher tier - Mark schemes Our specification is published on our website (www.aqa.org.uk). We will let centres know in writing about any changes to the specification.

### Monday 13 May 2013 Afternoon

Monday 3 May 203 Afternoon AS GCE MATHEMATICS (MEI) 475/0 Introduction to Advanced Mathematics (C) QUESTION PAPER * 4 7 5 6 2 0 6 3 * Candidates answer on the Printed Answer Book. OCR supplied materials:

### Example Practice Papers for Cambridge IGCSE Mathematics Extended Practice Book. Example Practice Paper 4 17

Eample Practice Papers for Cambridge IGCSE Mathematics Etended Practice Book Eample Practice Paper Mark scheme for Paper 13 Eample Practice Paper 4 17 Mark scheme for Paper 4 36 NAME Cambridge IGCSE Mathematics

### MARK SCHEME for the May/June 2010 question paper for the guidance of teachers 0452 ACCOUNTING. 0452/12 Paper 12, maximum raw mark 120

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2010 question paper for the guidance of teachers

### GCE. Mathematics. Mark Scheme for June 2012. Advanced GCE Unit 4725: Further Pure Mathematics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 4725: Further Pure Mathematics 1 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary Level and GCE Advanced Level MARK SCHEME for the May/June 2007 question paper 9707 BUSINESS STUDIES 9707/01

### Wednesday 6 November 2013 Morning

H Wednesday 6 November 2013 Morning GCSE MATHEMATICS B J567/03 Paper 3 (Higher Tier) *J540550313* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical

### GCSE Mathematics. Foundation Tier Unit 3 Geometry and Algebra Mark scheme. 43603F November 2015. Version 1.1 Final

GCSE Mathematics Foundation Tier Unit 3 Geometry and Algebra Mark scheme 43603F November 20 Version 1.1 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant

### Mark Scheme January 2009

Mark January 009 GCE GCE Mathematics (87/87,97/97) Edexcel Limited. Registered in England and Wales No. 4496750 Registered Office: One90 High Holborn, London WCV 7BH Edexcel is one of the leading examining

### MARK SCHEME for the May/June 2008 question paper 0452 ACCOUNTING. 0452/02 Paper 2, maximum raw mark 90

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2008 question paper 0452 ACCOUNTING 0452/02

### SL Calculus Practice Problems

Alei - Desert Academ SL Calculus Practice Problems. The point P (, ) lies on the graph of the curve of = sin ( ). Find the gradient of the tangent to the curve at P. Working:... (Total marks). The diagram

### 10 20 30 40 50 60 Mark. Use this information and the cumulative frequency graph to draw a box plot showing information about the students marks.

GCSE Exam Questions on Frequency (Grade B) 1. 200 students took a test. The cumulative graph gives information about their marks. 200 160 120 80 0 10 20 30 50 60 Mark The lowest mark scored in the test

### Mark Scheme (Results) January 2012. GCE Decision D1 (6689) Paper 1

Mark Scheme (Results) January 2012 GCE Decision D1 (6689) Paper 1 Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range of qualifications

### MARK SCHEME for the May/June 2010 question paper for the guidance of teachers 0452 ACCOUNTING. 0452/11 Paper 11, maximum raw mark 120

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2010 question paper for the guidance of teachers

### MARK SCHEME for the November 2005 question paper ACCOUNTING

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the November 2005 question paper ACCOUNTING 0452/02 Paper

### abc Mark Scheme Statistics 6380 General Certificate of Education 2006 examination - January series SS02 Statistics 2

Version 1.0: 0106 General Certificate of Education abc Statistics 6380 SS0 Statistics Mark Scheme 006 examination - January series Mark schemes are prepared by the Principal Examiner and considered, together

### 0610 BIOLOGY. 0610/62 Paper 6 (Alternative to Practical), maximum raw mark 40

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2014 series 0610 BIOLOGY 0610/62 Paper 6 (Alternative to Practical), maximum raw

### Solving Equations and Inequalities

Solving Equations and Inequalities 59 minutes 53 marks Page 1 of 21 Q1. (a) Solve a 2 = 9 Answer a =... (b) Solve = 5 Answer b =... (c) Solve 2c 3 = 11 Answer c =... (2) (Total 4 marks) Q2. In the magic

### egyptigstudentroom.com

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *5128615949* MATHEMATICS 0580/04, 0581/04 Paper 4 (Extended) May/June 2007 Additional Materials:

### Functional Skills Mathematics Level 2 sample assessment

Functional Skills Mathematics Level sample assessment Marking scheme Sample paper www.cityandguilds.com January 01 Version 1.0 Functional Skills Mathematics Guidance notes for Sample Paper Mark Schemes

### Monday 11 June 2012 Afternoon

THIS IS A NEW SPECIFICATION H Monday 11 June 2012 Afternoon GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) *A517000612* Candidates answer on the Question Paper. OCR supplied materials: None Other materials

### Specimen paper MATHEMATICS HIGHER TIER. Time allowed: 2 hours. GCSE BITESIZE examinations. General Certificate of Secondary Education

GCSE BITESIZE examinations General Certificate of Secondary Education Specimen paper MATHEMATICS HIGHER TIER 2005 Paper 1 Non-calculator Time allowed: 2 hours You must not use a calculator. Answer all

### Core Maths C2. Revision Notes

Core Maths C Revision Notes November 0 Core Maths C Algebra... Polnomials: +,,,.... Factorising... Long division... Remainder theorem... Factor theorem... 4 Choosing a suitable factor... 5 Cubic equations...

### Tuesday 6 November 2012 Morning

H Tuesday 6 November 2012 Morning GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) *A516821112* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical

### CALCULUS 1: LIMITS, AVERAGE GRADIENT AND FIRST PRINCIPLES DERIVATIVES

6 LESSON CALCULUS 1: LIMITS, AVERAGE GRADIENT AND FIRST PRINCIPLES DERIVATIVES Learning Outcome : Functions and Algebra Assessment Standard 1..7 (a) In this section: The limit concept and solving for limits

### Shape, Space and Measure

Name: Shape, Space and Measure Prep for Paper 2 Including Pythagoras Trigonometry: SOHCAHTOA Sine Rule Cosine Rule Area using 1-2 ab sin C Transforming Trig Graphs 3D Pythag-Trig Plans and Elevations Area

### Friday 14 June 2013 Morning

H Friday 14 June 2013 Morning GCSE MATHEMATICS B J567/04 Paper 4 (Higher Tier) *J517140613* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical instruments

### C1: Coordinate geometry of straight lines

B_Chap0_08-05.qd 5/6/04 0:4 am Page 8 CHAPTER C: Coordinate geometr of straight lines Learning objectives After studing this chapter, ou should be able to: use the language of coordinate geometr find the

### 1MA0/4H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 4H (Calculator) Set A Higher Tier Time: 1 hour 45 minutes

1MA0/4H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 4H (Calculator) Set A Higher Tier Time: 1 hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres,

### General Certificate of Secondary Education November 2012. Mathematics (Linear) B 4365 Paper 2 Higher Tier. Final. Mark Scheme

General Certificate of Secondary Education November 2012 Mathematics (Linear) B 4365 Paper 2 Higher Tier Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered, together with

### UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level *4274470357* MATHEMATICS (SYLLABUS D) 4024/11 Paper 1 October/November 2012 2 hours Candidates answer

### x(x + 5) x 2 25 (x + 5)(x 5) = x 6(x 4) x ( x 4) + 3

CORE 4 Summary Notes Rational Expressions Factorise all expressions where possible Cancel any factors common to the numerator and denominator x + 5x x(x + 5) x 5 (x + 5)(x 5) x x 5 To add or subtract -

### National Quali cations SPECIMEN ONLY. Forename(s) Surname Number of seat. Date of birth Day Month Year Scottish candidate number

N5 SQ9/N5/0 Date Not applicable Duration hour FOR OFFICIAL USE National Quali cations SPECIMEN ONLY Mark Mathematics Paper (Non-Calculator) *SQ9N50* Fill in these boxes and read what is printed below.

### 1MA0/4H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 4H (Calculator) Set B Higher Tier Time: 1 hour 45 minutes

1MA0/4H Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 4H (Calculator) Set B Higher Tier Time: 1 hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres,

### 2010 HSC General Mathematics Sample Answers

2010 HSC General Mathematics Sample Answers This document contains sample answers, or, in the case of some questions, answers could include. These are developed by the examination committee for two purposes.

### Equation of a Line. Chapter H2. The Gradient of a Line. m AB = Exercise H2 1

Chapter H2 Equation of a Line The Gradient of a Line The gradient of a line is simpl a measure of how steep the line is. It is defined as follows :- gradient = vertical horizontal horizontal A B vertical

Mark Scheme 4767 June 2005 GENERAL INSTRUCTIONS Marks in the mark scheme are explicitly designated as M, A, B, E or G. M marks ("method") are for an attempt to use a correct method (not merely for stating

### 4. An isosceles triangle has two sides of length 10 and one of length 12. What is its area?

1 1 2 + 1 3 + 1 5 = 2 The sum of three numbers is 17 The first is 2 times the second The third is 5 more than the second What is the value of the largest of the three numbers? 3 A chemist has 100 cc of

### MARK SCHEME for the October/November 2008 question paper 9706 ACCOUNTING

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary Level and GCE Advanced Level MARK SCHEME for the October/November 2008 question paper 9706 ACCOUNTING 9706/04

### MARK SCHEME for the May/June 2010 question paper for the guidance of teachers 0452 ACCOUNTING. 0452/22 Paper 22, maximum raw mark 120

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2010 question paper for the guidance of teachers

### MARK SCHEME for the May/June 2010 question paper for the guidance of teachers 0452 ACCOUNTING. 0452/21 Paper 21, maximum raw mark 120

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2010 question paper for the guidance of teachers

### Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS 0580/02 Paper 2 (Extended) For Examination from 2015 SPECIMEN PAPER Candidates answer

### *X100/12/02* X100/12/02. MATHEMATICS HIGHER Paper 1 (Non-calculator) NATIONAL QUALIFICATIONS 2014 TUESDAY, 6 MAY 1.00 PM 2.30 PM

X00//0 NTIONL QULIFITIONS 0 TUESY, 6 MY.00 PM.0 PM MTHEMTIS HIGHER Paper (Non-calculator) Read carefully alculators may NOT be used in this paper. Section Questions 0 (0 marks) Instructions for completion

### Wednesday 5 November 2014 Morning Time: 1 hour 45 minutes

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Mathematics A Paper 1 (Non-Calculator) Wednesday 5 November 2014 Morning Time: 1 hour 45 minutes Candidate Number Higher Tier

### Objectives. By the time the student is finished with this section of the workbook, he/she should be able

QUADRATIC FUNCTIONS Completing the Square..95 The Quadratic Formula....99 The Discriminant... 0 Equations in Quadratic Form.. 04 The Standard Form of a Parabola...06 Working with the Standard Form of a

### www.sakshieducation.com

LENGTH OF THE PERPENDICULAR FROM A POINT TO A STRAIGHT LINE AND DISTANCE BETWEEN TWO PAPALLEL LINES THEOREM The perpendicular distance from a point P(x 1, y 1 ) to the line ax + by + c 0 is ax1+ by1+ c

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 3H Centre Number Tuesday 6 January 2015 Afternoon Time: 2 hours Candidate Number

### A-LEVEL MATHEMATICS. Mechanics 2B MM2B Mark scheme. 6360 June 2014. Version/Stage: Final V1.0

A-LEVEL MATHEMATICS Mechanics B MMB Mark scheme 660 June 014 Version/Stage: Final V1.0 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a

### M1. (a) (i) 4.5 allow 1 mark for correct substitution i.e. 9 2 2

M. (a) (i) 4.5 allow mark for correct substitution i.e. 9 (ii) m/s accept answer given in (a)(i) if not contradicted here (iii) (iv) speed straight line from the origin passing through (s, 9m/s) allow

### 9706 ACCOUNTING. Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for Teachers.

CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Level MARK SCHEME for the May/June 2014 series 9706 ACCOUNTING 9706/42 Paper 4 (Problem Solving [Supplement]), maximum raw mark 120 This mark scheme is

### 0452 ACCOUNTING 0452/02 Paper 2, maximum raw mark 100

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the October/November 2009 question paper for the guidance

### DIFFERENTIATION OPTIMIZATION PROBLEMS

DIFFERENTIATION OPTIMIZATION PROBLEMS Question 1 (***) 4cm 64cm figure 1 figure An open bo is to be made out of a rectangular piece of card measuring 64 cm by 4 cm. Figure 1 shows how a square of side

### MARK SCHEME for the May/June 2007 question paper 0452 ACCOUNTING. 0452/03 Paper 3, maximum raw mark 100

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June question paper 0452 ACCOUNTING 0452/03 Paper

### MARK SCHEME for the May/June 2011 question paper for the guidance of teachers 0452 ACCOUNTING. 0452/11 Paper 1, maximum raw mark 120

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2011 question paper for the guidance of teachers

### 10.1. Solving Quadratic Equations. Investigation: Rocket Science CONDENSED

CONDENSED L E S S O N 10.1 Solving Quadratic Equations In this lesson you will look at quadratic functions that model projectile motion use tables and graphs to approimate solutions to quadratic equations

### Set 1 Teacher Booklet GCSE. 43602H November

AQA Qualifications Practice Papers Set Teacher Booklet GCSE MATHEMATICS Unit 460H Mark Scheme 460H November 0 Final version.0 Mark schemes are prepared by the Lead Assessment Writer considered, together

### General Certificate of Secondary Education January 2014. Mathematics Unit T3 (With calculator) Higher Tier [GMT31] FRIDAY 10 JANUARY, 9.15am 11.

Centre Number 71 Candidate Number General Certificate of Secondary Education January 2014 Mathematics Unit T3 (With calculator) Higher Tier [GMT31] MV18 FRIDAY 10 JANUARY, 9.15am 11.15 am TIME 2 hours,

### MARK SCHEME for the October/November 2008 question paper 0452 ACCOUNTING. 0452/03 Paper 3, maximum raw mark 100

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the October/November question paper 0452 ACCOUNTING 0452/03

### MARK SCHEME for the May/June 2008 question paper 0452 ACCOUNTING. 0452/03 Paper 3, maximum raw mark 100

www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June question paper 0452 ACCOUNTING 0452/03 Paper

### Mathematics (JUN14MPC101) General Certificate of Education Advanced Subsidiary Examination June Unit Pure Core TOTAL

Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Examiner s Initials Mathematics Unit Pure Core 1 Monday 19 May 2014 General Certificate of Education Advanced Subsidiary

### Straight Line. Paper 1 Section A. O xy

PSf Straight Line Paper 1 Section A Each correct answer in this section is worth two marks. 1. The line with equation = a + 4 is perpendicular to the line with equation 3 + + 1 = 0. What is the value of