Mathematics N3 — Document

April 2021 — N3 — Mathematics

N3 2021 Nated Engineering

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📋 Document Analysis

🎯 100 marks ⏱️ 3h 📄 6 pages 📝 36 items found ∑ 1 math symbols 📚 6 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 —

1.1Factorise as far as possible in prime factors (4\

1.2Simplify

1.2.1(6\

1.2.2(5\

1.3When is divided by the remainder is Determine the value of (3\ [18]18

Q2— Section header —

2.1Simplify the expression: (4\

2.2Solve for

2.2.1(4\

2.2.2(4\ [12]12

Q3— Section header —

3.1Make the subject of the formula: (3\

3.2Make the subject of the formula: (4\ (16030143\ Copyright reserved Please turn over

3.3Bosal South Africa is a leading manufacturer and supplier of quality utomotive and industrial products . At Bosal SA, 1 millwright technician and 5 apprentice artisans earn

3.4Solve for by completing the square (4\ [16]16

Q4— Section header —

4.1The gradient of OD (2\

4.2The coordinates of E (2\

4.3The equation of line AC which is perpendicular to line OD (3\

4.4The coordinates of point B (3\

4.5The size of an acute angle between line AC and the axis (2\

4.6The equation of the line passing through E which is parallel to AC. (3\

4.7The length of AD (3\ [18] (16030143\ Copyright reserved Please turn over18

Q5— Section header —

5.1FIGURE 2 below represent a sketch of the graph define by Determine: FIGURE 2

5.1.1The coordinates of the graph at point A and point (3\

5.1.2The coordinates of the turning point of the graph at point B (4\

5.2Sketch the graph defined by Show ALL the intercepts with the axes. (2\

5.3If , determine from the first principles. (4\

5.4Determine if Leave your answer with positive exponents. (3\ [16] (16030143\16

Q6— Section header —

6.1Prove that (5\

6.2Calculate the value of that will satisfy the equation for (4\

6.3FIGURE 3 below is a ske tch of a with and FIGURE 3 Determine the

6.4Draw the graph which is represented by the following trigonometric equation for Show all the intercepts on the axes. (5\ [20] TOTAL: 10020

Mathematical Content

f(x)

Topics Identified

AlgebraCalculusGeometryTrigonometryAnalytical GeometryFunctions

Mark Allocation

Total100 marks

Sections18 + 12 + 16 + 18 + 16 + 20 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN3

Document typeQuestion paper

Year2021

MonthApril

Pages8

Downloads4

Examination context

Decade2020s

Years ago5y

SeasonAutumn (SH)

Start dayThursday

Exam periodApril 2021

Days since exam2,018

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.

File details

File size356.9 KB

Pages8

Archived on8 September 2026

File age45d

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