Mathematics N5 — Document

April 2021 — N5 — Mathematics

N5 2021 Nated Engineering

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🎯 100 marks ⏱️ 3h 📄 10 pages 📝 42 items found 📚 1 topics

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1.1Bepaal elk van die volgende limiete

1.1.1(4\

1.1.2(2\

1.2Gegee Bereken die numeriese waarde van elk van die volgende

1.2.1(2\

1.2.2(1\

1.3Bepaal die waarde(s\ van waarvoor diskontinu is indien (2\ [11] VRAAG11

2.1Gegee Bepaal die eenvoudigste vorm van elk van die volgende

2.1.1(2\

2.1.2(1\

2.1.3(1\

2.1.4(1\

2.2

2.3Bepaal in elk van die volgende gevalle vereenvoudiging nie vereis nie

2.3.2

2.4Bereken met behulp van logaritmiese differensiasie indien (4\

2.5Bepaal van die implisiete funksie (4\ [22] VRAAG22

3.1Gegee

3.1.1

3.1.2en op, waar van to (3\

3.1.3grafiek van tussen die waardes in VRAAG

3.1.2en wys die draaipunte daarop (2\

3.1.4Een wortel van die vergelyking is naby aan Gebruik Taylor/Newton se metode een hierdie wortel te bepaal wortel korrek tot DRIE des imal

3.2Vind die TWEE positiewe getalle waarvan die produk 750 is, en waarvoor die som van EEN getal en TIEN keer die ander (5\ [15] VRAAG15

4.1Bepaal in elk van die volgende gevalle

4.1.1(3\

4.1.2(3\

4.1.3(4\ (16030175\ Kopiereg voorbehou

4.1.4(4\

4.1.5(4\

4.223

5.1Evalueer di bepaalde integra (3\

5.2Gegee en

5.2.1

5.2.2verteenwoordigerstrook en die snydingspunt te wys. (2\

5.2.3Bereken die grootte van die oppervlakte in VRAAG

5.2.2(3\

5.2.4Bereken die volume van die omwentelingsliggaam wat gevorm word as die oppervlakte in

Q5— Section header —

5.3Bereken die inersiemoment met radius en mass deur sy middelpunt en loodreg tot die vlak van die lami na. (5\

6.1Bepaal di algemene oplossing van (3\

6.2Bepaal die partikulie oplossing van die volgende (6\ [9] TOTA9

Topics Identified

Trigonometry

Mark Allocation

Total100 marks

Sections11 + 22 + 15 + 23 + 20 + 9 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN5

Document typeQuestion paper

Year2021

MonthApril

Pages10

Downloads3

Examination context

Decade2020s

Years ago5y

SeasonAutumn (SH)

Start dayThursday

Exam periodApril 2021

Days since exam2,019

About Mathematics examination preparation

TVET Mathematics at N-level combines algebra, trigonometry, geometry, and calculus. The examination tests both computational accuracy and the ability to apply mathematical methods to engineering and technical contexts.

How to use this resource for revision

A TVET 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.

algebraic manipulation

trigonometric problem solving

calculus techniques

geometric reasoning

applying maths to engineering contexts

A practical revision approach

Practice showing full working on every question — the marking memorandum allocates substantial method marks. For N4–N6 levels, focus on calculus and geometry as these carry the heaviest mark weightings.

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Archived on8 September 2026

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