Mathematics N6 — Document

November 2022 — N6 — Mathematics

N6 2022 Nated Engineering

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📋 Document Analysis

🎯 100 marks ⏱️ 3h 📄 5 pages 📝 33 items found ∑ 2 math symbols 📚 5 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: , show that (3\

1.2If , find the rate of change of when is 3 units and is 2 units while is decreasing at 5 units/s and is in creasing at 2

Q2— Section header —

2.2(5\

2.5(5\ (2\ [18]18

Q3— Section header —

3.2[12] (\ln Qxy QQ12

Q4— Section header —

4.1Determine the general solution of: (5\

4.2Determine the particular solution of: when and when (7\ [12]12

Q5— Section header —

5.1.1Make a neat sketch of graph . Show the representative strip/element that you will use to calculate the volume if the area bounded by the graph and the ordinates

Q5— Section header —

5.1.3Calculate the volume moment about the axis as well as the distance of the centre of gravity from the axis.

5.2.1Calculate the points of intersection of the two curves and Make a neat sketch of the two curves and show the area bounded by the curves. Show the representative strip/element PARALLEL to the axis that you will use to calculate the area bounded by the curves.

5.2.2Calculate the area bounded by the two curves as described in

Q5— Section header —

5.2.3Calculate the second moment of area when the area bounded by the two

Q5— Section header —

5.3.1Make a neat sketch of the graph and show the representative strip/element that you will use to calculate the volume of the solid generated when the area bounded by the curve and the line rotates about the

Q5— Section header —

5.3.3Calculate the moment of inertia of the solid obtained when the area

Q5— Section header —

5.4.1vertical sluice gate in the shape of a parabola is placed in a dam wall. The top of the gate is 8 m wide and lies 1 m below the water level. The sluice gate is 4 m high

5.4.2Calculate, by using integration, the area moment of the retaining wall about the water level

Q5— Section header —

5.4.3Calculate, by using integration, the second moment of area of the retaining

Q5— Section header —

Q6— Section header —

6.1Calculate the length of the curves and for

6.2Calculate the surface area generated when the curve given by from to rotates about the axis.

Mathematical Content

f(x)trig

Topics Identified

CalculusGeometryTrigonometryAnalytical GeometryFunctions

Mark Allocation

Total100 marks

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

Paper information

TitleDocument

SubjectMathematics

LevelN6

Document typeQuestion paper

Year2022

MonthNovember

Pages12

Downloads3

Examination context

Decade2020s

Years ago4y

SeasonSpring (SH)

Start dayTuesday

Exam periodNovember 2022

Days since exam1,442

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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File size303.5 KB

Pages12

Archived on8 September 2026

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