Mathematics Paper 2 (English)

Feb-March 2012 — Grade 12 / Matric — Mathematics

Past Paper 2012 Grade 12 English Mathematics Hub →

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🎯 150 marks ❓ 12 questions ⏱️ 3h 📄 12 pages 📝 76 items found ∑ 3 math symbols 📚 6 topics 🔑 1 key info

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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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1.1Calculate the mean of the above data. (2\

1.2Calculate the standard deviation for the data. (2\

1.3The company rates the sales staff accord ing to the amount of commission earned. A salesperson whose commission is more than one standard deviation above the mean receives a rating of 'good'. How many salesp

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2.1Draw a scatter plot of this data on th e grid provided on DIAGRAM SHEET 1. (2\

2.2Which of the curves, linear, quadratic or exponential, will fit the data? (1\

2.3The table below, is also shown on DIAGRAM SHEET 2. Complete the values for (Number in millions\ 8 17 34 67 135 281 552 (Correct to ONE decimal place\

2.4Plot the points representing log N on th e grid provided on DIAGRAM SHEET 2. (2\

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3.1Determine the total number of calls recorded. (1\

3.2Complete the frequency table fo r the data on DIAGRAM SHEET 3. (3\

3.3Hence, draw a histogram on th e grid on DIAGRAM SHEET 3. (3\

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5.1Calculate the gradient of AD. (2\

5.2Determine the length of the line segment AD. (Leave your answer in surd form, if necessary.\

5.3Determine the coordinates of M, the midpoint of AD. (2\

5.4C is a point such that line BC is paralle l to AD. Determine the equation of line BC in the form

5.55.5.1 Calculate the size of (2\

5.5.2DEF. (5\

5.6Determine the equation of a circle, with centre M, which passes through the points A

5.7Does the point B lie inside, outside or

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6.1Write down the coordinates of M and th e radius of the circle centre M. (4\

6.2Determine the equation of the tangent RS in the form . (4\

6.3The circles having centres P a nd M touch externally at poin t S. SR is a tangent to 1 : 3, determine the coordinates (

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7.2//

7.3// // //

7.4// // // //

7.1

7.2.1State whether the transformation is rigid or not. Give a reason for your

7.2.2Determine the coordinates of N (2\ A point P( \formed to P \mations

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7.5Quadrilateral KLMN is enlarged by a factor of . Find the largest value of for which the image of KLMN is contained in the circle centred at (0 -10-8-6-4-2246810

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9.1point the -axis.

9.1.2(2)2

9.2Show that sin 180

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9.1.1(2\ , in terms of

9.1.3The length of OT (4\

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10.2

10.3if

10.4Draw the graph of cos for

10.6). < 0.

10.1Write down the period of . (1\ Write down the solutions for sin 3 . (2\ Give the maximum value of (2\ x on the grid on DIAGRAM SHEET 4. (3\ 10.5 Use the graphs to determine how many solutions there are

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11.1

11.311.3.1 Given: cos sin sin sin

11.1.1

11.1.2

11.1.3

11.1.4

11.211.2.1 Prove the identity:

11.2.2

11.3.2

11.4Determine the value of:

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Mathematical Content

f(x)limtrig

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryStatisticsFunctions

Mark Allocation

Total150 marks

Sections6 + 9 + 7 + 7 + 20 + 16 + 17 + 5 + 12 + 14 + 29 + 8 + 8 = 158 marks

Per-question sum57 marks

Key Information

Contact Number0 60013 0001 · 0510152025

Paper information

SubjectMathematics

Year2012

SessionFeb-March

TypePast Paper

PaperPaper 2

LanguageEnglish

Pages17

Downloads8

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.

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interpreting mathematical problems

selecting appropriate methods

showing sufficient working

checking calculations and answers

working accurately under time constraints

A practical revision approach

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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 2 English →

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File size219.6 KB

Pages17

Archived on8 September 2026

File age47d

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