Mathematics Paper 3 (English)

November 2011 — Grade 12 / Matric — Mathematics

Past Paper 2011 Grade 12 English Mathematics Hub →

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🎯 100 marks ❓ 11 questions ⏱️ 2h 📄 9 pages 📝 57 items found ∑ 2 math symbols 📚 6 topics 🔑 1 key info

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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.

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Q11— Section header —

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1.1Write down the first FOUR te rms of the sequence. (3\

1.2How many terms of the above sequence must be added to give a sum of 0? (3\

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2.1How many of the boys weighed between 90 and 100 kilograms? (1\

2.2Estimate the median weight of the boys. (1\

2.3If there were 250 boys in Grade 11, estimate how many of them would weigh less than 80 kilograms?

2.4It was suggested that the first 50 boys in Grade 11 to arrive at school on that day, be selected as a sample. Explain why th is would not be a random sample.

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3.1For what value of are A and B mutually exclusive? (2\

3.2For what value of are A and B independent? (4\

Q4— Section header —

4.1What percentage of pizzas are delivered between 21 and 24 minutes? (2\

4.2What percentage of pizzas are delivered between 15 and 27 minutes? (3\

4.3The outlet advertises that they will not charge for a pizza that takes longer than a certain time to deliver. If they want to give away no more than 2% of all deliveries, how many minutes should they allow for delivery?

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5.1How many unique codes are possible if digits can be repeated? (2\

5.2How many unique codes are possible if the digits cannot be repeated? (2\

5.3In the case where digits may be repeat ed, how many codes are numbers that are actly divisible by 5?

Q6— Section header —

6.1Draw a Venn diagram to illustrate the above information.

6.2Determine the number of people who complain ed about ALL THREE categories. (3\

6.3Determine the probability that a complaint selected at random from those received, complained about AT LEAST TWO of the categories (that is. menu, food and

Q7— Section header —

7.1Draw a scatter graph that shows this information on the grid provided on DIAGRAM SHEET 1.

7.2Determine the equation of the l east squares regression line. (4\

7.3Determine the correlation coefficient. (2\

7.4What can we conclude about the relati onship between the noon temperature and the number of units of electricity used for heating?

7.5Estimate the number of units of electricit y that was used to heat a house on a day when the outdoor temperature at noon was 8 ve reasons for each statement you make.

Q8— Section header —

8.2.1(1)1

8.2.2(2)2

8.2.3(3)3

8.2.4Prove that

8.1In the diagram below, O is th e centre of the circle. PQ is a tangent to the circle at A. Prove the theorem that states (5\

8.2RS is a diameter of the circle with cen tre O. Chord ST is produced to W. Chord SP produced meets the tangent RW at V. Calculate the size of: (4\

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10.2Prove that [13]13

Q10— Section header —

10.1Determine THREE other angles that are each equal to . (6\ BHD ||| FED. (5\

10.3Hence, or otherwise, prove that AB.BD = FD.BH. (2\

Q11— Section header —

11.1Show that E is the midpoint of AD. (2\

11.2Prove PQ || FE. (3\

11.3If PQ is 60 cm, calculate the length of FE. (5\ TOTAL: 100 NSC EXAMINATION NUMBER:

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Mathematical Content

limtrig

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryStatisticsProbability

Mark Allocation

Total100 marks

Sections6 + 5 + 6 + 8 + 7 + 12 + 13 + 15 + 5 + 13 + 10 = 100 marks

Per-question sum31 marks

Key Information

Contact Number0102030405 · 0607080901

Paper information

SubjectMathematics

Year2011

SessionNovember

TypePast Paper

PaperPaper 3

LanguageEnglish

Pages13

Downloads5

Examination context

Decade2010s

Years ago15y

SeasonSpring (SH)

Start daySaturday

Exam periodNovember 2011

Days since exam5,468

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

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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.

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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) →

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File size100 KB

Pages13

Archived on8 September 2026

File age47d

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