Mathematics N6 — Document

April 2019 — N6 — Mathematics

N6 2019 Nated Engineering

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📋 Document Analysis

🎯 100 marks ⏱️ 3h 📄 5 pages 📝 33 items found ∑ 2 math symbols 📚 4 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: etermine

1.2A rectangle has length and width Calculate the change in length of the diagonal of the rectangle if the length changes from 20 cm to 22 cm and

Q2— Section header —

2.1(4\

2.2(4\

2.3(4\

2.4(4\

2.5(2\ [18]18

Q3— Section header —

3.212

Q4— Section header —

4.212

Q5— Section header —

5.1.1Sketch the graphs of and Show the area bounded by the graphs in the first quadrant. Show a representative strip perpendicular to the axis

5.1.2Calculate the area described in Q UESTION

5.1.1 (5\

5.1.3Calculate the distance of the centroid from the axis of the area described in QUESTION

5.1.1(5\

5.2.1Make a neat sketch of the graph of for Show the area bounded by the graph with the lines and Show the representative strip/element that you will use to calculate the

5.2.2Calculate the volume generated when the area described in QUESTION

5.2.1rotates about the x axis 4\

5.3.1Make a neat sketch of the curve and show the area bounded by the curve, the x axis and the lines and Show the representative strip that you will use to calculate the volume

5.3.2Calculate the volume when the area described in QUESTION

5.3.1rotates about the x axis (3\

5.3.3Calculate the moment of inertia about the x axis of the solid obtained when the area described in QUESTION

5.3.1rotates about the x axis. Express the answer in terms of mass (5\ 11 Determine the particular solution of3sin cos

5.4.1A vertical plate in the shape of a trapezium is installed in a dam wall. The top of the plate is 10 m wide and lies 1 m below the water level. The bottom of the plate is 8 m wide and the height of the plate is 3 m.

5.4.2Calculate the relationship between and as well as the area moment of the plate about the water level. (4\

5.4.3Calculate the second moment of area of the plate about the water level as well as the depth of the centre of pressure on the plate. (4\ [40]40

Q6— Section header —

6.1Calculate the length of the curve given by from to

6.212

Mathematical Content

f(x)trig

Topics Identified

CalculusGeometryTrigonometryAnalytical Geometry

Mark Allocation

Total100 marks

Sections6 + 18 + 12 + 12 + 40 + 12 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN6

Document typeQuestion paper

Year2019

MonthApril

Pages12

Downloads3

Examination context

Decade2010s

Years ago7y

SeasonAutumn (SH)

Start dayMonday

Exam periodApril 2019

Days since exam2,749

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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