Mathematics N3 — Document

April 2018 — N3 — Mathematics

N3 2018 Nated Engineering

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🎯 100 marks ⏱️ 3h 📄 6 pages 📝 37 items found ∑ 3 math symbols 📚 7 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 the following as far as possible in prime factors

1.1.2

1.2Simplify the following algebraic fractions

1.2.1(3\

1.2.2(4\

1.3If is a factor of , determine the other factors. (5\ [18]18

Q2— Section header —

2.1(4\

2.2(4\ 2. [1

Q3— Section header —

3.1John runs from A to B uphill with an average speed of 8 km/h, and returns from B to A downhill with an average speed of 12km/h. What was his average speed during the total distance? HINT:

3.2Make the subject of the following formula: (4\

3.3Determine the value of by means of completing the square: (4\

3.4Determine the quadratic equation of which the roots are and [15]15

Q4— Section header —

4.1The g radient of BD

4.2The v alue of p; (2\

4.3The l ength of AC . ( Leave the answer in its simplest surd form

4.4The gradient of AC (2\

4.5The s ize in degrees of an obtuse angle between AC and the x axis (2\

4.6The e quation of the line parallel to AC passing through point B. Leave the answer in gradient intercept form (3\

4.7The e quation of the line perpendicular to BD passing through point B. Leave the answer in gradient intercept form. (3\ [1

Q5— Section header —

5.1Draw the graph define by (3\

5.2Given

5.2.1Determine the co ordinates of the turning points of (4\

5.2.2Calculate the and intercept of

5.2Sketch the graph of and show the calculated values in questions

5.2.1and 5.2.2 on the graph. (3\

5.3Determine by using the rules of differentiation. The answer should be with positive exponent and in surd form where applicable. (6\

Q6— Section header —

6.1Calculate the values of that will satisfy the following equation for (4\

6.2Simplify the following: (3\

6.3Prove that (3\ 25

6.4Consider FIGURE 2 below. AB is a ighthouse of 100 metr es away from a nearby building CD . The angle of elevation from the top

6.5Draw a graph represented by the following trigonometric equation: where [2 TOTAL:

Mathematical Content

f(x)limtrig

Topics Identified

AlgebraCalculusGeometryTrigonometryAnalytical GeometryStatisticsFunctions

Mark Allocation

Total100 marks

Sections18 + 15 = 33 marks

Paper information

TitleDocument

SubjectMathematics

LevelN3

Document typeQuestion paper

Year2018

MonthApril

Pages8

Downloads3

Examination context

Decade2010s

Years ago8y

SeasonAutumn (SH)

Start daySunday

Exam periodApril 2018

Days since exam3,113

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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Pages8

Archived on8 September 2026

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