Mathematics N4 — Document

April 2018 — N4 — Mathematics

N4 2018 Nated Engineering

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🎯 100 marks ⏱️ 3h 📄 6 pages 📝 33 items found ∑ 2 math symbols 📚 3 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 —

1.1Given: Use differentiation to calculate the co ordinates of the turning points and the point of inflection of the given cubic function. istinguish between the maximum and the minimum turning points by

1.2.1Sketch and clearly indicate the area enclosed by the graph of , the axis, and how the representative strip

1.2.2Use integration to c alculate the value of the enclosed area indicated in QUESTION

1.2.1(4\

1.3The work done on a particular object is represented by the following formula: Determine (3\ [19]19

Q2— Section header —

2.1Integrate the following in terms of (7\

2.2Simplify: (3\

2.3Expand to only THREE terms using the binomial t heorem. (3\

2.4Differenti ate the following by using the q uotient rule: (4\

2.5Differentiate the following in terms of (4\ [21] QUESTION21

3.1The breadth of a rectangular field is 7 m less than the length. The area of the rectangular field is 500 m . Each side of the rectangular field is then increased by 3 m. Determine the value of the new area.

3.2Make the subject of the formula if: (3\

3.3Solve the unknown if: (2\

3.4The impedance of a circuit is given by the equation Calculate if and Leave the answer in p olar

3.5Solve for if: (4\

3.6State the conjugate of (1\ [20]20

Q4— Section header —

4.1In the application of Kirchhoff's law in a circuit, the following equations are obtained: Determine the value of by only using Cramer's rule. (8\ ln cos sin

4.2.1Determine the co factor of 1.

4.2.2

4.3.1Sketch and clearly label the graph of: (3\

4.3.2About which axis is the graph of in

Q4— Section header —

4.4Sketch and clearly label the graph of (2\

4.5Sketch and clearly label the graph of: (2\ [20]20

Q5— Section header —

5.1Solve for if (3\

5.2Prove that: (6\

5.3Simplify: (4\

5.4Given: and A is an acute angle etermine without the use of a calculator the value of (3\

5.5Simplify: (4\ [20] TOTAL: 100 20 15 tan20

Mathematical Content

f(x)trig

Topics Identified

AlgebraCalculusTrigonometry

Mark Allocation

Total100 marks

Sections19 + 21 + 20 + 20 + 20 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN4

Document typeQuestion paper

Year2018

MonthApril

Pages7

Downloads6

Examination context

Decade2010s

Years ago8y

SeasonAutumn (SH)

Start daySunday

Exam periodApril 2018

Days since exam3,115

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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