Technical Mathematics P1 (Afrikaans)

Exemplars 2018 — Grade 12 / Matric — Technical Mathematics

Past Paper 2018 Grade 12 Afrikaans Mathematics Hub →

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🎯 150 marks ❓ 9 questions ⏱️ 3h 📄 8 pages 📝 65 items found ∑ 2 math symbols 📚 2 topics

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Q4— Section header —

1.1Gegee: Los op vir as:

1.1.1(2\

1.1.2en stel dan die oplossing op 'n getallelyn voor. (4\

1.2Los op vir as (afgerond tot TWEE desimale plekke\ (4\

1.3

1.4Die twee diagramme hieronder verteenwoordig n metaalstaaf met oorspronklike lengte L wat dan ge

1.4.1Druk as die onderwerp van die formule uit. (3\

1.4.2Vervolgens of andersins bereken die waarde van as en

1.4.3Herlei die waarde wat in

Q1— Section header —

1.5

Q2— Section header —

2.1Gegee: Bepaal die waarde(s\ van waar

2.1.1Onge definieer sal wees (1\

2.1.2

2.1.3Rasionaal (gee slegs EEN heelgetal\ sal wees (1\

2.28

Q3— Section header —

3.1Vereenvoudig die volgende sonder om 'n sakrekenaar te gebruik oon ALLE stappe

3.1.1(3\

3.1.2(4\

3.1.3(4\

3.2Los op vir (4\

3.3

3.4Los vir en op, as (5\ [24]24

Q4— Section header —

4.1Die grafieke van die funksies wat deur en gedefinieer word, word in die figuur hieronder getoon. is 'n snypunt van en . Punte en B is die

4.1.1Die ko rdinate van

4.1.2Die ko rdinate van die draaipunt

4.1.3Die numeriese waarde van

4.1.4Die vergelyking van die as imptoot van (1\

4.1.5Die waardes van vir (2\

4.2Gegee en

4.2.1Skryf die vergelyking van die as imptoot van neer. (2\

4.2.2Bepaal die afsnit van

4.2.3Skryf die lengte van die radius van neer. (1

4.2.4Op die ANTWOORDBLAD verskaf, t eken netjiese sketsgrafiek van en op dieselfde assestelsel. Toon duidelik AL

4.2.5Bepaal die waardeversameling van (2\ 25 (\246

Q5— Section header —

5.1Die nominale rentekoers wat op n belegging gehef word, is 7,2% alf jaarliks saamgestel . Bereken die jaarlikse

5.2Die lugdruk van n gebarste band het vanaf 220 kPa tot 70 kPa teen 'n tempo van 8% per minuut , afgeneem

5.3

Q6— Section header —

6.1

6.2Bepaal vanuit EERSTE BEGINSELS indien (5\

6.3Bepaal as: (4\

6.4Bepaal die vergelyking van die raaklyn aan die kurwe gedefinieer deur by die punt waar (5\ [18]18

Q7— Section header —

7.1Toon dat 'n faktor is van (2\

7.2Bepaal vervolgens of andersins, die afsnitte van (3\

7.3

7.4Skets die grafiek van op die ANTWOORDBLAD verskaf. Dui AL die afsnitte met die asse en die draaipunte duidelik aan

8.1

8.1.1Die diepte van die water in die tenk teen 11:00 (2\

8.1.2Die veranderings tempo van die diepte van die water in die tenk teen 12:00 (3\

8.2Die wins (in R1000 e\wat 'n maatskappy oplewer met 'n masjien wat bottel

8.2.1Bereken die gemiddelde spoed waarteen geen wins of verlies gelewer word nie. (3\

8.2.2Bepaal teen watter gemiddelde spoed die masjien moet loop sodat die maksimum wins gelewer word. (3\

8.2.3Vervolgens of andersins bereken die gevolglike maksimum wins. (2\ [1

Q9— Section header —

9.1Bepaal die volgende integraal (4\

9.2Die skets hieronder verteenwoordig die grafiek van die funksie gedefinieer deur Bepaal die ge arseerde oppervlakte wat deur die

4.2.4VRAAG

7.4-8 -6 -4 -2 -6

Multiple Choice Options

A)..

Mathematical Content

limtrig

Topics Identified

GeometryTrigonometry

Mark Allocation

Total150 marks

Sections8 + 24 + 14 + 18 + 9 = 73 marks

Paper information

SubjectTechnical Mathematics

Year2018

SessionExemplars

TypePast Paper

PaperPaper 1

LanguageAfrikaans

Pages11

Downloads4

Examination context

Decade2010s

Years ago8y

Season—

Start day—

Exam period—

Days since exam—

About Technical 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

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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.

Technical Mathematics P1 Memo (Afrikaans) →

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