Mathematics Paper 3 (English)

November 2009 — Grade 12 / Matric — Mathematics

Past Paper 2009 Grade 12 English Mathematics Hub →

↓ Download PDF 📄 216.9 KB View Memorandum

Preparing document

📋 Document Analysis

🎯 100 marks ⏱️ 2h 📄 9 pages 📝 64 items found ∑ 2 math symbols 📚 6 topics

See full analysis

Questions — A Preview of What to Expect in the Document

This section provides a quick preview of questions from the document. It may not display every question or the complete wording of each one. For the full content, including diagrams, tables and other information, view the original PDF above.

Q10— Section header —

Q5— Section header —

Q8— Section header —

Q11— Section header —

Q1— Section header —

1.1ula for the sequence. (2)2

1.2(3) [5]5

Q2— Section header —

2.1(1)1

2.2(2)2

2.3(2)2

2.4erion that was overlooked by (1) [6] Mathematics/P3 3 DoE/November 2009 Copyright reserved6

Q2— Section header —

Q3— Section header —

3.1(2)2

3.2tween 115 and 130 indicates (2)2

3.3(2) [6]6

Q4— Section header —

4.1(5)5

4.2a syndicate and recovered within 48 hours. (2)2

4.3Calculate the probability that a vehicle stolen in this city will not be recovered. (3) [10] Mathematics/P3 4 DoE/November 2009 Copyright reserved10

Q4— Section header —

Q5— Section header —

5.1Represent the data in a scatter plot. (3)3

5.2(4)4

5.3Draw the least squares line on the scatter plot. (2)2

5.4Calculate the correlation coefficient for the data. (2)2

5.5nt on the relationship between age and the resting heart rate. (2)2

5.6If a learner uses the least s quares line to predict person, will his answer be reli (2) [15]15

Q6— Section header —

6.1.1receiving financial aid. (2)2

6.1.2a postgraduate student and not receiving financial aid. (2)2

6.1.3an undergraduate student a nd receiving financial aid. (2)2

6.2Are the events of eing an undergraduate and receiv (4) [10] Mathematics/P3 5 DoE/November10

Q6— Section header —

Q7— Section header —

7.1(2)2

7.2(3)3

7.3(3) [8]8

Q8— Section header —

8.1the circle. K, L and M are points on the

Q8— Section header —

8.2raight line such that T lies on PS. PQ = QR and

8.2.1Calculate, with reasons,

8.2.2Show that TQ bisects (3)3

8.2.3Show that STOR is a cy clic quadrilateral. (3) [15]15

Q9— Section header —

9.1(1)1

9.2.1The length of AM, with reasons (3)3

9.2.2(3) Area AOM : Area ABC Mathematics/P3 7 DoE/November 2009 Copyright reserved Please turn over

Q9— Section header —

Q10— Section header —

10.1Calculate with reasons:

10.1.1AH : ED (4) CD BE

10.1.2(2)2

10.2(2) [8]8

Q11— Section header —

11.1Show (3)3

11.2Prove that ADC. (3)3

11.3Prove that AD = 4AF. (4) [10] TOTAL: 10010

Q8— Section header —

Q11— Section header —

Mathematical Content

limtrig

Topics Identified

AlgebraGeometryTrigonometryStatisticsProbabilityFinancial Maths

Mark Allocation

Total100 marks

Sections5 + 6 + 6 + 10 + 15 + 10 + 8 + 15 + 7 + 8 + 10 = 100 marks

Per-question sum100 marks

Paper information

SubjectMathematics

Year2009

SessionNovember

TypePast Paper

PaperPaper 3

LanguageEnglish

Pages14

Downloads5

Examination context

Decade2000s

Years ago17y

SeasonSpring (SH)

Start dayThursday

Exam periodNovember 2009

Days since exam6,196

About Mathematics examination preparation

Grade 12 Mathematics combines algebra, calculus, geometry, and trigonometry. Paper 1 focuses on algebra and calculus, while Paper 2 tests geometry, trigonometry, and analytical geometry.

Every available Grade 12 Mathematics past paper and memorandum is collected in the Mathematics hub at mathematics.freemode.co.za — browse all years, sessions and languages in one place.

How to use this resource for revision

A past examination paper is most useful when it is treated as an active revision exercise. Try the questions yourself before checking the corresponding memorandum. Where you make an error, identify the reason — was it a knowledge gap, a calculation mistake, an interpretation issue, or an examination technique problem?

For stronger examination practice, complete the paper without unnecessary interruptions and keep track of the questions that take the most time. Afterwards, review the memorandum and separate knowledge gaps from mistakes caused by interpretation, calculation, structure, or examination technique.

interpreting mathematical problems

selecting appropriate methods

showing sufficient working

checking calculations and answers

working accurately under time constraints

A practical revision approach

Allocate roughly 1.5 minutes per mark. Show full working — the memorandum allocates substantial method marks, meaning partial solutions can still earn 60%+ when the working is logically structured.

Grade 12 subject hubs

Each matric subject has its own dedicated hub on Freemode with every past paper and marking memorandum we have archived for that subject.

➗ Mathematics 📍 You are here 📊 Mathematical Literacy View papers → ⚗️ Physical Sciences View papers → 🧬 Life Sciences View papers → 📒 Accounting View papers → 💼 Business Studies View papers → 📈 Economics View papers → 🌍 Geography View papers → 🏛️ History View papers → 📖 English View papers → 🇿🇦 Afrikaans View papers → 🗣️ IsiNdebele View papers → 🗣️ IsiXhosa View papers → 🗣️ IsiZulu View papers → 🗣️ Sepedi View papers → 🗣️ Sesotho View papers → 🗣️ Setswana View papers → 🌾 Agricultural Sciences View papers →

Corresponding marking memorandum

Marking memorandum available

Use the corresponding memorandum after completing the paper to review your answers and identify areas that require further revision. The memorandum shows the marking approach used by DBE examiners, including method-mark allocations.

Mathematics Memo 3 English →

File details

File size216.9 KB

Pages14

Archived on8 September 2026

File age45d

ContributorFreeMode

Fingerprint12615F9534FC

Questions and learner discussion

No questions or discussions have been posted yet.