Mathematics Memo 3 English

Feb-March 2012 — Grade 12 / Matric — Mathematics

Memo 2012 Grade 12 English Mathematics Hub →

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🎯 100 marks ❓ 11 questions ⏱️ 2h 📄 11 pages 📝 65 items found ∑ 2 math symbols 📚 5 topics

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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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1.1Write down the next TWO terms in the sequence. (2\

1.2Write down a recursive form ula for the sequence. (3\

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2.1Calculate the total number of peopl e employed at this company. (1\

2.2Calculate the total amount needed to pay salaries for ONE month. (2\

2.3Determine the mean monthly salary fo r an employee in this company. (2\

2.4Is the mean monthly salary calculat

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3.1What percentage of teenagers sent less than 128 messages? (3\

3.2

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4.1Calculate the equation of the l sion line. (4\

4.2Draw the least squares regression line on the grid provided on DIAGRAM SHEET 1. (2\

4.3Calculate the correlation coefficient. (2\

4.4Comment on the trend of the data. (2\

4.5Predict the final mark of a student w ho was absent for four Saturdays. (2\

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5.1Determine the probability that a le arner, selected at random, is:

5.1.1Male (2\

5.1.2Female and plays sport (2\

5.2Are the events 'male' and 'do not play sport' mutually exclusive? Use the values in the

5.3Are the events 'male' and 'do not play s port' independent? Show ALL calculations to

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6.1Represent the information by means of a tree diagram. Clearly indicate the probability associated with each branch of the tree diagram and write down all the outcomes.

6.2A plastic bottle is selected at random from the total production.

6.2.1What is the probability that it wa s produced by machine B and it is not defective?

6.2.2What is the probability that the bottle is defective? (3\

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7.1In how many different ways can all these ite ms be arranged in the advertisement? (2\

7.2In how many different ways can these item s be arranged if specific items are to be placed in blocks A, F and J?

7.3In how many different ways can these item s be arranged in the a dvertisement if items from the same department are grou ped together in the same row? A B C D E F G H I J K L

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8.1State the size of (1)1

8.3.1(1)1

8.3.2(1)1

8.3.3(2) [7]7

8.2Hence, show that BN is the diameter of the smaller circle. (2\

8.3If calculate the size of each of the following angles:

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9.2Prove that PKT. and RT = 320 mm, calculate the value of [7]7

9.1If PS = 4 , write down the length of ST in terms of . (1\ RST ||| (3\

9.3If it is further given that TK = . (3\

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10.1WT

10.2WQ [7]7

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11.2.1, the size of (4)4

11.2.3Show that

11.2In the diagram below, O is the centre of the circle. AB is a diameter of the circle. Chord CF produced meets chord EB produ ced at D. Chord EC is parallel to CO and AC are joined. Determine, in terms of

11.2.2Prove that DF = BD. (4\

11.2.4If DF = 5 cm and OA = 6 cm, calculate area (4\ TOTAL: 100 EXAMINATION NUMBER:

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Mathematical Content

limtrig

Topics Identified

AlgebraGeometryTrigonometryStatisticsProbability

Mark Allocation

Total100 marks

Sections5 + 7 + 6 + 12 + 10 + 10 + 7 + 7 + 7 + 7 + 22 = 100 marks

Per-question sum33 marks

Paper information

SubjectMathematics

Year2012

SessionFeb-March

TypeMemo

PaperPaper 3

LanguageEnglish

Pages15

Downloads2

Examination context

Decade2010s

Years ago14y

Season—

Start day—

Exam period—

Days since exam—

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.

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Corresponding examination paper

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Mathematics Paper 3 (English) →

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