Department of Mathematics
|
|
- Myron Mathews
- 5 years ago
- Views:
Transcription
1 WYNBERG BOYS HIGH SCHOOL Department of Mathematics GRADE 11 MATHEMATICS P2 21 NOVEMBER AM 12.00PM MARKS: 150 TIME: 3 hours EXAMINER: Hu MODERATOR: Lr This question paper consists of printed 16 pages, including this cover page.
2 11 Mathematics/P2 2 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 11 questions. 2. Answer ALL the questions in BLUE or BLACK ink only. Graphs must be drawn in pencil when required. 3. Clearly show ALL calculations, diagrams, graphs, etc. that you have used in determining your answers. 4. In Questions 9 11, you are required to provide reasons for the statements you make. 5. Answers only will not necessarily be awarded full marks. 6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 7. If necessary, round off answers to TWO decimal places, unless stated otherwise. 8. Number the answers correctly according to the numbering system used in this question paper. 9. Write neatly and legibly.
3 11 Mathematics/P2 3
4 11 Mathematics/P2 4 QUESTION The following stem and leaf display represents the marks obtained by 50 students in a recent surprise test Determine the mean of the given data. (2) Calculate the standard deviation of the data. (2) Determine the number of students whose test scores are greater than ONE standard deviation from the mean. (1) The 5-number summary for the data is as follows: Min = 1, Max.= 49, Q1 = 16, Q2 = 30, Q3 = 39 Draw a box and whisker diagram to represent the data. (2) Comment on whether the data is positively or negatively skewed and provide a reason for your answer. (2)
5 11 Mathematics/P The table below shows the final Mathematics and Accounting results of a small group of Grade 11 students. Mathematics % Accounting % A scatter plot is given below. 100 Scatter plot of final Mathematics vs Accounting results for a group of Grade 11 students Accounting % Mathematics % Describe the correlation. (1) The line of best fit has the equation ŷ = a + bx. Determine the values of a and b. (2) A twelfth student wrote the Mathematics exam but not the Accounting exam. Calculate what his Accounting mark is predicted to be if he achieved 68% for Mathematics. (2) [14]
6 11 Mathematics/P2 6 QUESTION 2 A group of Grade 11 students was interviewed about their Instagram use. The number of Instagram posts, p, posted by each student per month was summarised in the histogram below Complete the cumulative frequency table provided in your ANSWER BOOK. (2) 2.2. Use the grid provided in your ANSWER BOOK to draw an ogive (cumulative frequency curve) to represent the data. (3) 2.3. Use the ogive to identify the median for the data. (1) 2.4. Use the ogive to estimate the percentage of the learners who post more than 11 Instagram posts per month. (1) [7]
7 11 Mathematics/P2 7 QUESTION 3 A, B, C and D are the vertices of a trapezium with AD BC. E is the midpoint of BC and is the angle of inclination of BC as shown. y D 45 A (1; 6) G C (12; 3) B (3; 0) E x F 3.1. Calculate the coordinates of E. (2) 3.2. Calculate the gradient of BC. (2) 3.3. Calculate the size of. (2) 3.4. Prove that AD AB. (3) 3.5. The line passing through A and F, with y-intercept G, makes an angle of 45 to AD. Determine the coordinates of G. (5) [14]
8 11 Mathematics/P2 8 QUESTION 4 In the diagram below, P( 3; 9), Q, O and S are the vertices of a parallelogram. OQ and OS are segments on the lines y = -x and y = 1 2 x respectively. P ( 3; 9) y Q S O 26,57 x 4.1. Determine the equation of the line passing through P and Q in the form y = mx +c. (3) 4.2. Hence show that Q has coordinates ( 6; 6). (4) 4.3. Calculate the length of OQ and leave your answer in simplified surd form. (2) 4.4. Given that OS = 20 units, calculate the length of QS. (5) [14]
9 11 Mathematics/P2 9 QUESTION Given that 13sinq = -5 and tanq > Represent this information using a neat sketch diagram, clearly indicating the correct positioning of. (2) Use your diagram to calculate the value of 3cosq. (2) 5.2. If cos46 = t, determine the following in terms of t: cos226 (2) sin44 (2) 5.3. Simplify: sin(q -180 ) tan(360 -q) sin(90 -q). (5) cos 2 (180 +q) Use Q to determine the value of sin(-135 )tan(315 )sin(45 ). (1) cos 2 (225 ) 5.4. Given the identity: sin 4 x +sin 2 x cos 2 x cos 2 x = tan 2 x Prove the identity. (4) For which value(s) of x is the identity undefined, where 0 x 180? (2) 5.5. Find the general solution to the equation 2sin xcosx -cos 2 x = 0 (5) [25]
10 11 Mathematics/P2 10 QUESTION 6 The diagram shows the graphs of f (x) = asinbx and g(x) = cos(x + p). The graphs intersect at turning points A ( 30 ; 1) and B, of g(x), as shown. y f (x) A g(x) C (90 ; t) x B 6.1. Write down the values of a, b and p. (3) 6.2. Write down the coordinates of B. (2) 6.3. Write down the range of f (x). (2) 6.4. C (90 ; t) is a point on g(x). Calculate the value of t. (1) 6.5. Describe the transformation(s) applied to f (x) to obtain g(x). (2) [10]
11 11 Mathematics/P2 11 QUESTION Use the triangle alongside to prove that R sin ˆP p sin ˆQ = q P Q (5) 7.2. Mr Hull recently purchased a plot of land (called an erf) with measurements as shown below. He has neighbouring plots on three sides with an edge along a road. neighbour C neighbour B 29,7 m 58 neighbour 34,6 m 42 D 28,3 m A 87 road Calculate the length of the wall to be built along the boundary with the adjoining plots. (3) The city council charges a property tax based on the erf size. In this case, they claim that the area is 759 m 2 (nearest square metre). Are they correct? (3)
12 11 Mathematics/P A is the highest point of a vertical tower AT. At point N on the tower, n metres below the top of the tower, a bird has made its nest. The angle of inclination from G to point A is α and the angle of inclination from G to point N is β Show that the height (H) of the nest above the ground is given by the formula H = ncosa sinb sin(a - b) (5) Calculate H if n = 10m, α = 68 and β = 40. (2) [18]
13 11 Mathematics/P2 13 QUESTION 8 A solid metallic hemisphere has a radius of 3 cm. It is made of metal A. To reduce its weight a conical hole is drilled into the hemisphere (as shown in the diagram) and it is completely filled with a lighter metal B. The conical hole has a radius of 1,5 cm and a depth of 25 mm Calculate the total surface area of the object. (3) 8.2. Calculate the ratio of the volume of metal A to that of metal B. (6) [9]
14 11 Mathematics/P2 14 In Questions 9 11, you are required to provide reasons for all of the statements you make. QUESTION Complete the following statement: A line drawn through the centre of a circle, perpendicular to a chord, will... (1) 9.2. In the diagram below, diameter AB is perpendicular to chord CD at E. O is the centre of the circle, AB = 20cm and EB = 3cm. C B E O D A Calculate the length of ED (Leave your answer in surd form). (3) Write down the length of CE. (2) Show that AC AE = (4) [9]
15 11 Mathematics/P2 15 QUESTION In the diagram below, O is the centre of the circle. Prove that AÔB = 2 AĈB. C O B A (5) In the diagram, M is the centre of the circle. A, B, C, K and T lie on the circle. AT produced and CK produced meet in N. Also NA = NC and A ˆBK= 38. N 2 4 K C M 38 B T 1 Calculate the size of: A A ˆMK (2) ˆT2 (2) Ĉ (2) ˆK4 (2) Show that NK = NT. (2) Prove that AMKN is a cyclic quadrilateral. (3) [18]
16 11 Mathematics/P2 16 QUESTION 11 In the diagram, HS is a tangent to the circle with centre O at S. NOUH is a straight line. NU MS and U ˆNS = x. H U O E S x N M Find 3 other angles equal to x. (6) Write down the size of NĤS in terms of x. (3) Hence prove that MU is a tangent to the circle passing through S, H and U. (3) [12]
NATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 0 MARKS: 50 TIME: hours This question paper consists of pages and diagram sheets. Mathematics/P DBE/0 NSC Grade Exemplar INSTRUCTIONS AND INFORMATION
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 06 MARKS: 50 TIME: 3 hours This question paper consists of 3 pages and a -page answer book. Mathematics/P DBE/November 06 INSTRUCTIONS AND INFORMATION
More informationName: Teacher: GRADE 11 EXAMINATION NOVEMBER 2016 MATHEMATICS PAPER 2 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY
GRADE 11 EXAMINATION NOVEMBER 2016 MATHEMATICS PAPER 2 Time: 3 hours Examiners: Miss Eastes; Mrs Rixon 150 marks Moderator: Mrs. Thorne, Mrs. Dwyer PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. Read
More informationGrade 11 November Examination 2016 Mathematics: Paper 2 Time: 3 hours Marks: 150
Grade November Examination 06 Mathematics: Paper Time: 3 hours Marks: 50 Instructions and Information: Read the following instructions carefully before answering the questions.. This question paper consists
More informationAnswer ALL the questions in the SPECIAL ANSWER BOOK provided.
Mathematics/P DBE/November 04 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions... 3. 4. 5. 6. 7. This question paper consists of 0 questions. Answer
More informationGrade 11 November Examination 2015 Mathematics: Paper 2 Time: 3 hours Marks: 150
Grade 11 November Examination 2015 Mathematics: Paper 2 Time: 3 hours Marks: 150 Instructions and Information: Read the following instructions carefully before answering the questions. 1. This question
More informationBERGVLIET HIGH SCHOOL MATHEMATICS DEPARTMENT JUNE EXAMINATION GRADE 12 MATHEMATICS PAPER 2 9 JUNE 2016
BERGVLIET HIGH SCHOOL MATHEMATICS DEPARTMENT JUNE EXAMINATION GRADE 1 MATHEMATICS PAPER 9 JUNE 016 MARKS: 150 TIME: 3 HOURS This question paper consists of 11 pages and 14 questions. INSTRUCTIONS AND INFORMATION
More informationDepartment of Mathematics
Department of Mathematics TIME: 3 Hours Setter: DS DATE: 03 August 2015 GRADE 12 PRELIM EXAMINATION MATHEMATICS: PAPER II Total marks: 150 Moderator: AM Name of student: PLEASE READ THE FOLLOWING INSTRUCTIONS
More informationSt. Anne s Diocesan College. Grade 12 Core Mathematics: Paper II September Time: 3 hours Marks: 150
St. Anne s Diocesan College Grade 12 Core Mathematics: Paper II September 2018 Time: 3 hours Marks: 150 Please read the following instructions carefully: 1. This question paper consists of 21 pages and
More informationDepartment of Mathematics
Department of Mathematics TIME: 3 hours Setter: CF DATE: 06 August 2018 GRADE 12 PRELIM EXAMINATION MATHEMATICS: PAPER II Total marks: 150 Moderator: DAS Name of student: PLEASE READ THE FOLLOWING INSTRUCTIONS
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 05 MARKS: 50 TIME: 3 hours This question paper consists of 5 pages and a 4-page answer book. Mathematics/P DBE/November 05 CAPS Grade INSTRUCTIONS
More informationSUBJECT Mathematics PAPER 2 GRADE 11 DATE 21 NOV 2017 EXAMINER Mrs Sillman MARKS 150 NAME MODERATOR Gr 11 Teachers TEACHER DURATION 3 hours
SUBJECT Mathematics PAPER 2 GRADE 11 DATE 21 NOV 2017 EXAMINER Mrs Sillman MARKS 150 NAME MODERATOR Gr 11 Teachers TEACHER DURATION 3 hours QUESTION NO DESCRIPTION MAXIMUM MARK ACTUAL MARK 1-3 Analytical
More informationMATHEMATIC PAPER II Page 1 of 21 MATHEMATICS PAPER 2
MATHEMATIC PAPER II Page 1 of 21 GRADE 11 EXAMINATION NOVEMBER 2015 MATHEMATICS PAPER 2 Time: 3 hours Examiners: Miss Eastes, 150 marks Moderators:Mrs. Jacobsz, Mrs. Rixon, Mrs. Thorne PLEASE READ THE
More informationST. DAVID S MARIST INANDA MATHEMATICS PRELIMINARY EXAMINATION PAPER 2. GRADE September 2017 NAME:
ST. DAVID S MARIST INANDA MATHEMATICS PRELIMINARY EXAMINATION PAPER 2 GRADE 12 13 September 2017 EXAMINER: MRS S RICHARD MARKS: 150 MODERATOR: MRS C KENNEDY TIME: 3 hours NAME: PLEASE PUT A CROSS NEXT
More informationGRAAD 12 NATIONAL SENIOR CERTIFICATE GRADE 10
GRAAD 12 NATIONAL SENIOR CERTIFICATE GRADE 10 TECHNICAL MATHEMATICS EXEMPLAR 2016 MARKS: 100 TIME: 2 hours This question paper consists of 9 pages and 1 diagram sheet. Technical Mathematics/P2 2 DBE/2016
More informationBeaulieu College. Mathematics Department NAME:
Beaulieu College Mathematics Department GRADE 11 MATHEMATICS PAPER Time: 3 Hours 150 marks Date: 8 November 016 Examiner: Ms Smith Moderator: Mrs Prinsloo NAME: TEACHER: Khan Prinsloo Smith PLEASE READ
More informationMIND ACTION SERIES. MATHEMATICS PRACTISE EXAMINATION (Original Paper set up by Mark Phillips) GRADE 12 PAPER 2 OCTOBER 2016 TIME: 3 HOURS MARKS: 150
1 MIND ACTION SERIES MATHEMATICS PRACTISE EXAMINATION (Original Paper set up by Mark Phillips) GRADE 1 PAPER OCTOBER 016 TIME: 3 HOURS MARKS: 150 INSTRUCTIONS AND INFORMATION Read the following instructions
More informationMATHEMATICS: PAPER II
GRADE 11 STANDARDISATION PROJECT NOVEMBER 013 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 13 pages, an Answer/Diagram
More informationDepartment of Mathematics
Department of Mathematics TIME: 3 Hours Setter: DS DATE: 09 August 2016 GRADE 12 PRELIM EXAMINATION MATHEMATICS: PAPER II Total marks: 150 Moderator: GP Name of student: PLEASE READ THE FOLLOWING INSTRUCTIONS
More informationKING DAVID HIGH SCHOOL LINKSFIELD GRADE 11 MATHEMATICS PAPER 2 NOVEMBER Writing Time: 2½ hours Total: 120 marks
KING DAVID HIGH SCHOOL LINKSFIELD GRADE 11 MATHEMATICS PAPER 2 NOVEMBER 2017 Writing Time: 2½ hours Total: 120 marks NAME: INSTRUCTIONS AND INFORMATION Read the following instructions carefully before
More informationMATHEMATICS: PAPER II TRIAL EXAMINATION 11 SEPTEMBER 2015 MEMO
MATHEMATICS: PAPER II TRIAL EXAMINATION 11 SEPTEMBER 2015 TIME: 3 HOURS TOTAL: 150 MARKS MEMO PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. Write your examination number on the paper. 2. This question
More informationST MARY S DSG, KLOOF GRADE: 12 1 SEPTEMBER 2011 MATHEMATICS: PAPER II. Teacher s name:
1 ST MARY S DSG, KLOOF GRADE: 12 1 SEPTEMBER 2011 MATHEMATICS: PAPER II TIME: 3 HOURS EXAMINER: J. KINSEY TOTAL: 150 MARKS MODERATOR: V. GOVENDER Name: Teacher s name: READ THE FOLLOWING INSTRUCTIONS CAREFULLY:
More informationST MARY S DSG, KLOOF MATHEMATICS PAPER II GRADE 11 NOVEMBER 2016
P a g e ST MARY S DSG, KLOOF MATHEMATICS PAPER II GRADE NOVEMBER 06 TIME: ½ HOURS TOTAL: 5 MARKS EXAMINER : S.THOMPSON MODERATORS: : Mrs van ROOYEN : Mrs DREW NAME: MATHS TEACHER: INSTRUCTIONS ) Read all
More informationI pledge that I have neither given nor received help with this assessment.
CORE MATHEMATICS PII Page 1 of 24 HILTON COLLEGE TRIAL EXAMINATION AUGUST 2016 Time: 3 hours CORE MATHEMATICS PAPER 2 150 marks PLEASE READ THE FOLLOWING GENERAL INSTRUCTIONS CAREFULLY. 1. This question
More informationGAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2016 GRADE
GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 06 GRADE MATHEMATICS TIME: hours MARKS: 00 9 pages + diagram sheets GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS TIME:
More informationSt. Anne s Diocesan College. Form 6 Core Mathematics: Paper II September Time: 3 hours Marks: 150
EXAMINATION NUMBER: Teacher: St. Anne s Diocesan College Form 6 Core Mathematics: Paper II September 2017 Time: 3 hours Marks: 150 Please read the following instructions carefully: 1. This question paper
More informationHERZLIA SENIOR HIGH SCHOOL
HERZLIA SENIOR HIGH SCHOOL If you will it, it is no legend PRELIMINARY EXAMINATION GRADE 12 MATHEMATICS PAPER 2 MONDAY 5 TH SEPTEMBER 2016 MARKS: 150 TIME: 3 HOURS This question paper consists of 16 pages,
More informationST MARY S DSG, KLOOF GRADE: 12 SEPTEMBER 2016 MATHEMATICS: PAPER II. 1. This question paper consists of 27 typed pages. There are also 2 blank pages.
ST MARY S DSG, KLOOF GRADE: 12 SEPTEMBER 2016 MATHEMATICS: PAPER II Examiner: S Drew TIME: 3 HOURS Moderators: J van Rooyen J Kinsey TOTAL: 150 MARKS INSTRUCTIONS: 1. This question paper consists of 27
More informationST MARY S DSG, KLOOF GRADE: SEPTEMBER 2017 MATHEMATICS PAPER 2
ST MARY S DSG, KLOOF GRADE: 12 12 SEPTEMBER 2017 MATHEMATICS PAPER 2 TIME: 3 HOURS ASSESSOR: S Drew TOTAL: 150 MARKS MODERATORS: J van Rooyen E Robertson EXAMINATION NUMBER: TEACHER: INSTRUCTIONS: 1. This
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION MARCH 2018 MATHEMATICS: PAPER II EXAMINATION NUMBER Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2014 MATHEMATICS: PAPER II EXAMINATION NUMBER Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of
More informationMathematics Paper 2 Grade 12 Preliminary Examination 2017
Mathematics Paper 2 Grade 12 Preliminary Examination 2017 DURATION: 180 min EXAMINER: R. Obermeyer MARKS: 150 MODERATOR: A. Janisch Date: 15 September 2017 External Moderator: I. Atteridge INSTRUCTIONS:
More informationMATHEMATICS: PAPER II. 2. Write your examination number in the space provided in your Answer Book.
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 009 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 0 pages, and a green
More information6. Show appropriate working in its correct place. Full marks will not necessarily be given for answers only.
Mathematics Exam Grade Paper eptember 06 3 hours 50 marks Instructions. This paper consists of questions. Answer all questions.. A booklet containing Diagram heets, Answer heets and an Information heet
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION 2015 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of
More informationI pledge that I have neither given nor received help with this assessment.
CORE MATHEMATICS PII Page 1 of 4 HILTON COLLEGE TRIAL EXAMINATION AUGUST 016 Time: 3 hours CORE MATHEMATICS PAPER 150 marks PLEASE READ THE FOLLOWING GENERAL INSTRUCTIONS CAREFULLY. 1. This question paper
More informationMEMO MATHEMATICS: PAPER II
MEMO CLUSTER PAPER 2016 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 28 pages and an Information Sheet of 2 pages(i-ii).
More informationDomino Servite School
Domino Servite School Accreditation Number 13SCH0100008 Registration Number 122581 Mathematics Paper II Grade 12 2017 Trial Examination Name: Time: 3 hours Total: 150 Examiner: H Pretorius Moderators:
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS P1 NOVEMBER 01 MARKS: 150 TIME: hours This question paper consists of 8 pages. Copyright reserved Mathematics/P1 DBE/November 01 INSTRUCTIONS AND INFORMATION
More informationMATHEMATICS: PAPER II Page 1 of 11 HILTON COLLEGE TRIAL EXAMINATION AUGUST 2013 MATHEMATICS: PAPER II GENERAL INSTRUCTIONS
MATHEMATICS: PAPER II Page 1 of 11 HILTON COLLEGE TRIAL EXAMINATION AUGUST 01 Time: hours MATHEMATICS: PAPER II GENERAL INSTRUCTIONS 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY. 1. This
More informationGRADE 12 NATIONAL SENIOR CERTIFICATE MATHEMATICS P3 PREPARATORY EXAMINATION 2008
GRADE 12 NATIONAL SENIOR CERTIFICATE MATHEMATICS P3 PREPARATORY EXAMINATION 2008 MARKS: 100 TIME: 2 hours This question paper consists of 11 pages and 4 diagram sheets. Mathematics/P3 2 DoE/Preparatory
More information1 You may NOT use a calculator. 2 Full credit will be given only where the solution contains appropriate working. 3 Square-ruled paper is provided.
X00/0 NATIONAL QUALIFICATIONS 008 TUESDAY, 0 MAY.00 PM.5 PM MATHEMATICS INTERMEDIATE Units, and Paper (Non-calculator) Read carefully You may NOT use a calculator. Full credit will be given only where
More informationExpress g(x) in the form f(x) + ln a, where a (4)
SL 2 SUMMER PACKET PRINT OUT ENTIRE PACKET, SHOW YOUR WORK FOR ALL EXERCISES ON SEPARATE PAPER. MAKE SURE THAT YOUR WORK IS NEAT AND ORGANIZED. WORK SHOULD BE COMPLETE AND READY TO TURN IN THE FIRST DAY
More informationDepartment of Mathematics
Department of Mathematics TIME: Hours Setter: JH/CF DATE: 4 July 017 GRADE 1 PRELIM EXAMINATION MATHEMATICS: PAPER I Total marks: 150 Moderator: DAS Name of student: PLEASE READ THE FOLLOWING INSTRUCTIONS
More informationFriday 7 November 2014 Morning
H Friday 7 November 2014 Morning GCSE MATHEMATICS B J567/04 Paper 4 (Higher Tier) * 1 1 8 3 5 0 0 1 9 2 * Candidates answer on the Question Paper. OCR supplied materials: None Other materials required:
More informationExpress g(x) in the form f(x) + ln a, where a (4)
SL 2 SUMMER PACKET 2013 PRINT OUT ENTIRE PACKET, SHOW YOUR WORK FOR ALL EXERCISES ON SEPARATE PAPER. MAKE SURE THAT YOUR WORK IS NEAT AND ORGANIZED. WORK SHOULD BE COMPLETE AND READY TO TURN IN THE FIRST
More informationMATHEMATICS: PAPER I
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 017 MATHEMATICS: PAPER I Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 11 pages and an Information
More informationYou 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 International GCSE Mathematics A Paper 3HR Centre Number Monday 8 January 2018 Morning Time: 2 hours Candidate Number Higher Tier Paper Reference
More informationPLC Papers. Created For:
PLC Papers Created For: Algebra and proof 2 Grade 8 Objective: Use algebra to construct proofs Question 1 a) If n is a positive integer explain why the expression 2n + 1 is always an odd number. b) Use
More informationSACRED HEART COLLEGE
SACRED HEART COLLEGE MATHEMATICS: PAPER 1 GRADE 11 NOVEMBER 016 EXAMINER: TIME: 3 hours Mr M Phungula MARKS: 150 MODERATORS: M. Chipindu I. Marais PLEASE READ THE INSTRUCTIONS CAREFULLY 1. This question
More informationH. London Examinations IGCSE
Centre No. Candidate No. Paper Reference 4 4 0 0 3 H Surname Signature Initial(s) Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Monday 10 May 2004 Morning Time:
More informationNATIONAL SENIOR CERTIFICATE GRADE 10
NATIONAL SENIOR CERTIFICATE GRADE 10 TECHNICAL MATHEMATICS P1 EXEMPLAR 2016 MARKS: 100 TIME: 2 hours This question paper consists of 7 pages and 1 diagram sheet. Technical Mathematics/P1 2 DBE/2016 INSTRUCTIONS
More informationCAMI Education linked to CAPS: Mathematics
- 1 - The main topics in the Curriculum: NUMBER TOPIC 1 Functions 2 Number patterns, sequences and series 3 Finance, growth and decay 4 Algebra 5 Differential Calculus 6 Probability 7 Euclidian geometry
More informationMathematics. Knox Grammar School 2012 Year 11 Yearly Examination. Student Number. Teacher s Name. General Instructions.
Teacher s Name Student Number Kno Grammar School 0 Year Yearly Eamination Mathematics General Instructions Reading Time 5 minutes Working Time 3 hours Write using black or blue pen Board approved calculators
More informationCBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80
CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationMATHEMATICS Unit Pure Core 2
General Certificate of Education June 2008 Advanced Subsidiary Examination MATHEMATICS Unit Pure Core 2 MPC2 Thursday 15 May 2008 9.00 am to 10.30 am For this paper you must have: an 8-page answer book
More informationGeneral Certificate of Secondary Education Higher Tier June Time allowed 1 hour 30 minutes
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark Mathematics General Certificate of Secondary Education Higher Tier June 2015 43603H
More informationADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA
GRADE 1 EXAMINATION NOVEMBER 017 ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA Time: hours 00 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists
More informationGRADE 11 MATHEMATICS FIRST PAPER NOVEMBER 2009
Province of the EASTERN CAPE EDUCATION NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS FIRST PAPER NOVEMBER 2009 MARKS: 150 TIME: 3 hours This question paper consists of 9 pages, 1 diagram sheet and a
More informationJULY EXAMINATION 2015 MATHEMATICS GRADE 12 PAPER 1: LO 1, LO 2 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY
JULY EXAMINATION 015 MATHEMATICS GRADE 1 PAPER 1: LO 1, LO Time: hours Total: 150 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 6 pages, graph paper, and a separate
More informationWESTERN CAPE EDUCATION DEPARTMENT NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICS PAPER 1 SEPTEMBER 2015
WESTERN CAPE EDUCATION DEPARTMENT NATIONAL SENIOR CERTIFICATE GRADE 1 MATHEMATICS PAPER 1 SEPTEMBER 015 MARKS: 150 TIME: 3 hours This paper consists of 9 pages, diagram sheets and an information sheet.
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator
More informationIYGB. Special Paper U. Time: 3 hours 30 minutes. Created by T. Madas. Created by T. Madas
IYGB Special Paper U Time: 3 hours 30 minutes Candidates may NOT use any calculator Information for Candidates This practice paper follows the Advanced Level Mathematics Core Syllabus Booklets of Mathematical
More informationMATHEMATICS: PAPER II Page 1 of 24 HILTON COLLEGE TRIAL EXAMINATION AUGUST 2014 MATHEMATICS: PAPER II GENERAL INSTRUCTIONS
MATHEMATICS: PAPER II Page of 4 HILTON COLLEGE TRIAL EXAMINATION AUGUST 04 Time: 3 hours MATHEMATICS: PAPER II GENERAL INSTRUCTIONS 50 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY.. This question
More informationScope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A)
Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A) Updated 06/05/16 http://www.haesemathematics.com.au/ Note: Exercises in red text indicate material in the 10A textbook
More informationBeaulieu College. Mathematics Department
Beaulieu College Mathematics Department GRADE 11 MATHEMATICS PAPER 1 Time: ½ Hours 15 marks Date: 10 November 014 Examiner: Ms Smith Moderator: Mr Ruiz-Mesa PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY
More information1.30 pm 2.30 pm. Mathematics Module M4 Paper 1 (Non-calculator) Higher Tier [GMM41] 1 hour.
Centre Number 71 Candidate Number General Certificate of Secondary Education 2006 Mathematics Module M4 Paper 1 (Non-calculator) Higher Tier [GMM41] GMM41 MONDAY 5 JUNE 1.30 pm 2.30 pm TIME 1 hour. INSTRUCTIONS
More informationMATHEMATICS National Qualifications - National 5 Paper 1 (Non Calculator) Testing EF and REL
N5 Prelim Practice Paper B MATHEMATICS National Qualifications - National 5 Paper 1 (Non Calculator) Testing EF and REL Time allowed - 1 hour Fill in these boxes and read carefully what is printed below
More informationMathematics Extension 1
NSW Education Standards Authority 08 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Extension General Instructions Reading time 5 minutes Working time hours Write using black pen Calculators approved
More informationWJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS
Surname Centre Number Candidate Number Other Names 0 WJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS A.M. MONDAY, 22 June 2015 2 hours 30 minutes S15-9550-01 For s use ADDITIONAL MATERIALS A calculator
More informationEdexcel GCSE Mathematics (Linear) A* Paper (not for the faint hearted) Higher Tier
Edexcel GCSE Mathematics (Linear) A* Paper (not for the faint hearted) Higher Tier Time: 2 hours Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses,
More informationAdd Math (4047/02) Year t years $P
Add Math (4047/0) Requirement : Answer all questions Total marks : 100 Duration : hour 30 minutes 1. The price, $P, of a company share on 1 st January has been increasing each year from 1995 to 015. The
More informationFor examiners use only Section total
NAME ADM NO - 121/2 FORM III TERM 3 MATHEMATICS PAPER 2 2½ HOURS INSTRUCTIONS TO CANDIDATES a) Write your name and admission number in the spaces provided. b) This paper consists of TWO sections. Section
More informationGCSE 9-1 Mathematics Higher Tier Grade 9 Tough Paper Paper 2
GCSE 9-1 Mathematics Higher Tier Grade 9 Tough Paper Paper 2 Total marks 80 1 Hour 30 minutes PLEASE NOTE: This paper does not claim the questions included are Grade 9 questions. This paper was designed
More informationMonday 4 March 2013 Morning
H Monday 4 March 2013 Morning GCSE MATHEMATICS B J567/04 Paper 4 (Higher Tier) *J533620313* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical instruments
More informationPure Mathematics Year 1 (AS) Unit Test 1: Algebra and Functions
Pure Mathematics Year (AS) Unit Test : Algebra and Functions Simplify 6 4, giving your answer in the form p 8 q, where p and q are positive rational numbers. f( x) x ( k 8) x (8k ) a Find the discriminant
More informationPractice Papers Set D Higher Tier A*
Practice Papers Set D Higher Tier A* 1380 / 2381 Instructions Information Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number.
More informationADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA
GRADE 12 EXAMINATION NOVEMBER 2016 ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA Time: 2 hours 200 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper
More informationWednesday 24 May 2017 Morning Time allowed: 1 hour 30 minutes
Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature AS MATHEMATICS Unit Pure Core 2 Wednesday 24 May 2017 Morning Time allowed: 1 hour 30 minutes
More informationGCSE 185/05. MATHEMATICS (2 Tier) HIGHER TIER PAPER 2. A.M. WEDNESDAY, 12 November hours. Candidate Name. Centre Number.
Candidate Name Centre Number 0 Candidate Number GCSE 185/05 MATHEMATICS (2 Tier) HIGHER TIER PAPER 2 A.M. WEDNESDAY, 12 November 2008 2 hours For Examiner s use Question Maximum Mark Mark Awarded ADDITIONAL
More informationWEDNESDAY, 18 MAY 1.00 PM 1.45 PM. 2 Full credit will be given only where the solution contains appropriate working.
X00/0 NATIONAL QUALIFICATIONS 0 WEDNESDAY, 8 MAY.00 PM.45 PM MATHEMATICS INTERMEDIATE Units, and Paper (Non-calculator) Read carefully You may NOT use a calculator. Full credit will be given only where
More informationISEBE LEMFUNDO LEMPUMA KOLONI EASTERN CAPE EDUCATION DEPARTMENT OOS-KAAP ONDERWYSDEPARTEMENT
MATH ISEBE LEMFUNDO LEMPUMA KOLONI EASTERN CAPE EDUCATION DEPARTMENT OOS-KAAP ONDERWYSDEPARTEMENT IIMVIWO ZEBANGA LESHUMI ELINANYE GRADE 11 EXAMINATIONS GRAAD 11-EKSAMEN NOVEMBER 2008 MATHEMATICS FIRST
More informationBEAULIEU COLLEGE PRELIMINARY EXAMINATIONS 2016 MATHEMATICS GRADE 12 PAPER 2
BEAULIEU COLLEGE PRELIMINARY EXAMINATIONS 2016 MATHEMATICS GRADE 12 PAPER 2 Examiner: Mr J Ruiz Mesa Ttal marks: 150 Date: 25 July 2016 Instructins: Mderatr: Ms A Smith Time: 3hrs This questin paper cnsists
More informationKIST DP Course Descriptions
Grade: 11 Unit Number: 1 Unit Title: Number and Algebra Approximate Duration: 1 month Number Classification, Approximation, Error, Scientific Notation, Units of Measurement and Conversions LP Link: Communicator
More informationNATIONAL SENIOR CERTIFICATE GRADE 10
NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P1 EXEMPLAR 01 MARKS: 100 TIME: hours This question paper consists of 6 pages. Mathematics/P1 DBE/01 NSC Grade 10 Eemplar INSTRUCTIONS AND INFORMATION Read
More information1. Peter cuts a square out of a rectangular piece of metal. accurately drawn. x + 2. x + 4. x + 2
1. Peter cuts a square out of a rectangular piece of metal. 2 x + 3 Diagram NOT accurately drawn x + 2 x + 4 x + 2 The length of the rectangle is 2x + 3. The width of the rectangle is x + 4. The length
More informationGeneral Certificate of Secondary Education Mathematics. Unit T4 (With calculator) Higher Tier [GMT41] TUESDAY 27 MAY, 9.15am 11.
Centre Number 71 Candidate Number General Certificate of Secondary Education 2014 Mathematics Unit T4 (With calculator) Higher Tier [GMT41] MV18 TUESDAY 27 MAY, 9.15am 11.15am TIME 2 hours, plus your additional
More informationInstructions for Section 2
200 MATHMETH(CAS) EXAM 2 0 SECTION 2 Instructions for Section 2 Answer all questions in the spaces provided. In all questions where a numerical answer is required an eact value must be given unless otherwise
More informationYou 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 Edexcel Certificate Edexcel International GCSE Mathematics A Paper 4H Centre Number Tuesday 15 January 2013 Morning Time: 2 hours Candidate Number Higher Tier Paper
More informationNAME INDEX NO. SIGNATURE DATE
NAME INDEX NO. SIGNATURE DATE 121/2 MATHEMATICS PAPER 2 TIME: 2½ HOURS JULY, 2017 121/2 MATHEMATICS PAPER 2 TIME: 2½ HOURS INSTRUCTIONS TO CANDIDATES a) Write your name and index number in the spaces provided
More informationMathematics Paper 2 (Calculator)
Write your name here Surname Other names Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Candidate Number Mathematics Paper 2 (Calculator) Specimen Papers Set 2 Time: 1 hour 30 minutes Higher
More informationMonday 6 June 2016 Afternoon
Oxford Cambridge and RSA Monday 6 June 2016 Afternoon FSMQ ADVANCED LEVEL 6993/01 Additional Mathematics QUESTION PAPER * 6 3 6 1 2 5 5 7 4 1 * Candidates answer on the Printed Answer Book. OCR supplied
More informationCalculus first semester exam information and practice problems
Calculus first semester exam information and practice problems As I ve been promising for the past year, the first semester exam in this course encompasses all three semesters of Math SL thus far. It is
More informationICSE Solved Paper, 2018
ICSE Solved Paper, 018 Class-X Mathematics (Maximum Marks : 80) (Time allowed : Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to
More informationLondon Examinations IGCSE. Wednesday 7 November 2007 Afternoon
Centre No. Candidate No. Surname Signature: Mr.Demerdash Initial(s) Paper Reference(s) 4400/4H London Examinations IGCSE Mathematics Paper 4H Higher Tier Wednesday 7 November 2007 Afternoon Time: 2 hours
More informationGeneral Certificate of Secondary Education Higher Tier
Centre Number Surname Other Names Candidate Number For Examiner s Use Examiner s Initials Candidate Signature General Certificate of Secondary Education Higher Tier Pages 3 4 5 Mark Methods in Mathematics
More informationYou must have: Ruler graduated in centimetres and millimetres, pair of compasses, pen, HB pencil, eraser.
Write your name here Surname Other names Pearson Edexcel Award Algebra Level 3 Calculator NOT allowed Centre Number Candidate Number Thursday 12 January 2017 Morning Time: 2 hours Paper Reference AAL30/01
More informationADDITIONAL MATHEMATICS
005-CE A MATH HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 005 ADDITIONAL MATHEMATICS :00 pm 5:0 pm (½ hours) This paper must be answered in English 1. Answer ALL questions in Section A and any FOUR
More informationMathematics Second Practice Test 1 Levels 6-8 Calculator not allowed
Mathematics Second Practice Test 1 Levels 6-8 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationSuggested Solutions MATHEMATICS COMPULSORY PART PAPER 1. Question No Marks TAK SUN SECONDARY SCHOOL MOCK EXAMINATION ONE FORM 5
Suggested Solutions TAK SUN SECONDARY SCHOOL MOCK EXAMINATION ONE MATHEMATICS COMPULSORY PART PAPER 1 FORM 5 THIS PAPER MUST BE ANSWERED IN ENGLISH INSTRUCTIONS 1 Write your Name, Class and Class Number
More information