Mathematics NCV Level 3 — Exam Paper

November 2019 — NCV Level 3 — Mathematics

NCV Level 3 2019 NCV Fundamentals

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🎯 10 marks ⏱️ 3h 📄 6 pages 📝 38 items found ∑ 3 math symbols 📚 1 topics

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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.

Q1— Section header —

1.1Skryf elkeen van die volgende denkbeeldige getalle in hul eenvoudigste vorm:

1.1.2

1.2.1(2\

1.2.2(2\

1.2.3(3\

1.2.4(2\

1.2.5(2\

1.3Sit elkeen van die volgende komplekse getalle in poolvorm om en druk die argument

1.3.1(3\

1.3.2(5\

1.4Vereenvoudig elkeen van die volgende en druk die antwoord in die vorm ib uit. Toon AL jou berekeninge.

1.4.1(4

1.4.2(3 [30] (10501053\ Kopiereg voorbehou30

Q2— Section header —

2.1Los op vir in die volgende ongelykheid (5\

2.2Los op vir deur die vierkant te voltooi: (4\

2.3Los op vir en in: (4\

2.4Vereenvoudig elkeen van die volgende:

2.4.2

2.5.1Teken die grafiek met die gegewe beperkinge deur van DIAGRAMBLAD 1 (aangeheg\ gebruik te maak (4\

2.5.2Bepaal die uitvoerbaarheidsgebied met behulp van arsering. (1\

2.5.3van en wat die wins sal maksimeer as die doelfunksie is. (4\ [30] (10501053\30

Q3— Section header —

3.1Gege en Teken die grafieke van f( \ en g

3.2In die figuur hier onder word die grafiek van getoon Bestudeer die grafiek en beantwoord die vrae.

3.2.1ind die vergelyking vir die grafiek (4\

3.2.2Bereken die draaipunt van die grafiek (4\

3.3Teken met behulp van DIAGRAM BLAD 3 (aangeheg die grafiek van (4\ [20]20

Q4— Section header —

4.1As bepaal die afgeleide vanaf eerste beginsels. (4\

4.2Bepaal die volgende limiet (3\

4.3

4.3.3

4.4Bepaal die grootste produk wat verkry kan word deur twee getalle, waarvan die som 32 is te vermenigvuldig WENK:

Q2— Section header —

Q3— Section header —

Mathematical Content

f(x)limtrig

Topics Identified

Trigonometry

Mark Allocation

Sections30 + 30 + 20 + 20 = 100 marks

Paper information

TitleExam Paper

SubjectMathematics

LevelNCV Level 3

Document typeQuestion paper

Year2019

MonthNovember

Pages10

Downloads3

Examination context

Decade2010s

Years ago7y

SeasonSpring (SH)

Start dayFriday

Exam periodNovember 2019

Days since exam2,536

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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