IEB Mathematics Grade 12 Term 4 November Past Papers and Memos
2018 to 20194 papers15 PDFsEnglish / Afrikaans
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This page has every IEB Mathematics Grade 12 Term 4 paper we have, from 2018 to 2019: 4 question papers and 2 memos in 15 PDFs. The papers were set by IEB. Files are in English and Afrikaans. The newest year is first. Each paper shows the first page of questions, its marks and time, and what the questions cover.
Q1(a) −2 is one root of the equation 2x++xk=0.14 marks
Q2FinanceBusi opens a new credit card account that charges compound interest at 12,3% p.a.16 marks
Q3(a) (1) Determine from first principles if:15 marks
Q4Sequences and Series(a) A pentagon is created using candles as shown in the diagram below.17 marks
Q5The table below shows the number of passengers that were on a bus after every stop.11 marks
Q6In the diagram below, the graphs of and are given.9 marks
Q7(a) Sketch the graphs of on the same set of axes.9 marks
Q8Functions and Graphs(a) (1) Explain why the equation ( ) does not have any real solutions.16 marks
Q9Functions and GraphsIn the diagram below, the graphs of f(x) =ax +bx +cx +d and g(x) = q+ are given.22 marks
Q10An oil tank's structure, as shown in the diagram below, consists of a cylindrical body of7 marks
Q11(a) Ten coins are arranged in a row:14 marks
Instructions to candidates
This question paper consists of 32 pages and an Information Sheet of 2 pages (i–ii). Please check that your question paper is complete.
Read the questions carefully.
Answer ALL the questions on the question paper and hand it in at the end of the examination. Remember to write your examination number in the space provided.
Four blank pages (pages 29 to 32) have been included at the end of the exam paper. If you run out of space for a question, use these pages. If you use this extra space, make sure that you indicate this clearly at the question to ensure that your answer is mark
Diagrams are not necessarily drawn to scale.
You may use an approved non-programmable and non-graphical calculator, unless otherwise stated. Ensure that your calculator is in DEGREE mode.
Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your answers. Answers only will NOT necessarily be awardedfu ll marks.
Round off to one decimal place unless otherwise stated.
It is in your own interest to write legibly and to present your work neatly. FOR OFFICE USE ONLY: MARKER TO ENTER MARKS Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 TOTAL 14 16 15 17 11 9 9 16 22 7 14 /150 NATIONAL SENIOR CERTIFICATE: MATHEMATICS: PAPER I Page 2 of 32
November 2019 Paper 2 (IEB)
Maths Grade 12 November 2019 Paper 2 (IEB) question paper
Q1Analytical geometryIn the diagram below:14 marks
Q2Trigonometry(a) If cos25°= m, then, without the use of a calculator, determine the value(s) of the14 marks
Q3Analytical geometryIn the diagram below:8 marks
Q4Euclidean geometry(a) Use the diagram below to prove the statement that says,T "he acute angle formed18 marks
Q5Trigonometry(a) If gx = tanx then:10 marks
Q6Statistics(a) The table below is a cumulative frequency table that summarises the ages of11 marks
Q7StatisticsThe diagram below shows the relationship between the time spent on an electronic device8 marks
Q8Euclidean geometry(a) In the diagram alongside:21 marks
Q9Analytical geometry(a) A metal frame is built to help provide some shade to a triangular piece of land ABC.17 marks
Q10Analytical geometryIn the diagram below, A; B and F lie on the circle.12 marks
Q11TrigonometryIn the diagram below, C, D and M are points on the circle.7 marks
Q12Analytical geometryThe diagram below is an aerial view of four wind turbines placed at A, D, E and B.10 marks
Instructions to candidates
This question paper consists of 32 pages and an Information Sheet of 2 pages (–i ii). Please check that your question paper is complete.
Read the questions carefully.
Answer ALL the questions on the question paper and hand ti in at the end of the examination. Remember to write your examination numbern t ihe space provided.
Four blank pages (pages 2 to9 32) have been included at the end of the exam paper. If you run out of space for a question, use these pages. If you use this extra space, make sure that you indicate this clearlyat the question to ensure that your answer is marke
Diagrams are not necessarily drawn to scale.
You may use an approved non-programmable and non-graphical calculator, unless otherwise stated.
Ensure that your calculator is in DEGREE mode.
Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your answers.A nswers only will NOT necessarily be awarded full marks.
It is in your own interest to write legibly and to present your work neatly.
Round off to one decimal place unless otherwise stated. FOR OFFICE USE ONLY: MARKER TO ENTER MARKS Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 TOTAL 14 14 8 18 10 11 8 21 17 12 7 10 /150 NATIONAL SENIOR CERTIFICATE: MATHEMATICS: PAPER II Page 2 of 32
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IEB Mathematics Grade 12 Term 4 2018 question papers and memos
November 2018 Paper 1 (IEB)
Maths Grade 12 November 2018 Paper 1 (IEB) question paper
Q1Number patterns, sequences and series(a) The 100th term of an arithmetic sequence is 512 and its common difference13 marks
Q2Number patterns, sequences and series(1) Determine the first two terms. (2)11 marks
Q3Algebra, equations and inequalitiesCalculate the following:16 marks
Q4Differential calculus(1) Determine the average gradient of f between the points x =1 and10 marks
Q5Finance, growth and decay(a) Riyan opened a bank account 15 years ago, with the intention of s aving9 marks
Q6Functions and graphsIn the diagram below, the graphs of a are given.18 marks
Q7Algebra, equations and inequalitiesAnswers only will not be awarded full marks.11 marks
Q8Functions and graphsKaty invested in Bitcoins (a digital currency) which increased in value at a rate of10 marks
Q9Differential calculusgx()=x 3−x hx()−−= x .19 marks
Q10Functions and graphs(a) Given: where and11 marks
Q11Probability and countingConsider the word: C I R C L E9 marks
Q12Probability and countingLulu and Riempie have been invited to observe a missile testing experiment.6 marks
Q13Differential calculusIn the diagram, the vertices of the shaded right-angled triangle OMN are ( )7 marks
Instructions to candidates
This question paper consists of 8 pages and an Information Sheet of 2 pages (i–ii). Please check that your question paper is complete.
Read the questions carefully.
Answer all the questions.
Number your answers exactly as the questions are numbered.
You may use an approved nonpr-ogrammable and non-graphical calculator unless otherwise stated.
Clearly show ALL calculations, diagrams, graphs et cetera that you have used in determining your answers. Answers only will NOT necessarily be awarded full marks.
Diagrams are not necessarily drawn to scale.
If necessary, round off answers to ONE decimal place, unless stated otherwise.
It is in your own interest to write legibly and to present your work neatly. NATIONAL SENIOR CERTIFICATE: MATHEMATICS: PAPER I Page 2 of 8
November 2018 Paper 2 (IEB)
Maths Grade 12 November 2018 Paper 2 (IEB) question paper
Q1Analytical GeometryIn the diagram below M is the midpoint of the line that joins A(1; –1) and B(5; 3).17 marks
Q2Analytical GeometryIn the diagram below, circle centre O is drawn in the Cartesian plane.10 marks
Q3On the set of axis below the graph of with has been10 marks
Q4Euclidean Geometry(a) Use the diagram below to prove the theorem that states:23 marks
Q5Euclidean GeometryIn the diagram below, A, B, C and E are points on a circle. AC and BE intersect at9 marks
Q6StatisticsBelow is a cumulative frequency graph showing the average number of litres of9 marks
Q7Information about advertising via pamphlets and television separately is given in8 marks
Q8Trigonometry(a) If sin64°= p, determine the value of the following in terms of p:19 marks
Q9In the diagram below, ∆AFCis drawn. B lies on AC with D and E on CF.9 marks
Q10In the diagram below, circle centre O passes through F, S, H and G.10 marks
Q11In the diagram below, the given shape is enclosed by line AB, line BC and part of13 marks
Q12A farmer uses a drone to check his fences for any damage.13 marks
Instructions to candidates
This question paper consists of 24 pages and an Information Sheet of 2 pages (–i ii). Please check that your question paper is complete.
Read the questions carefully.
Answer ALL the questions on the question paper and hand ti in at the end of the examination. Remember to witre your examination number ni the space provided.
Diagrams are not necessarily drawn to scale.
You may use an approved non-programmable and non-graphical calculator, unless otherwise stated.
Ensure that your calculator is in DEGREE mode.
All the necessary working details must be clearly sho Awnsn.wers only will not necessarily be awarded full marks.
It is in your own interest to write legibly and to present your work neatly.
Round off to one decimal place unless otherwise stated. FOR OFFICE USE ONLY: MARKER TO ENTER MARKS Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 TOTAL 17 10 10 23 9 9 8 19 9 10 13 13 /150 NATIONAL SENIOR CERTIFICATE: MATHEMATICS: PAPER II Page 2 of 24