Mathematics N1 — Document

November 2022 — N1 — Mathematics

N1 2022 Nated Engineering

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🎯 1 marks ⏱️ 3h 📄 7 pages 📝 52 items found 📚 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.

Q5— Section header —

Q1— Section header —

1.1Simplify each of the following, without a calculator, by using exponential laws how ALL steps: 128

1.2Simplify, without a calculator, the following by using logarithmic laws how ALL steps: (3\

1.3Write the following in exponential form: (2\

1.4Given:

1.4.1Write the expression in descending powers of

1.4.2What is the constant term of the expression?

1.4.3

1.5Show ALL calculations and use logarithms to base atural log rithms\to calculate

Q2— Section header —

2.1Divide 4 14 xy

2.2What must be added to + 2 3 to give 5

Q3— Section header —

3.1Fully factorise the following expression: 3a

3.2Simplify the following: (4\

3.3Simplify the following by first factorising: (3\

3.4Determine the following from the algebraic terms:

3.4.1The prime factors of each term

3.4.2The lowest common multiple (LCM\

3.4.317

Q4— Section header —

4.1Solve for (6\

4.2Manipulate the given formula and make the subject of the formula: (2\

Q4— Section header —

4.4A train travels from Cape Town to Cairo at 30 km/h he train travels for 349 hours 38 minutes without stopping to reach it s final destination. Calculate the distance

4.5A belt is driven by a pulley at 60 m/s. The pulley rotates at 560 r/min. Calculate the rotational frequency in r/s (2\ [16]16

Q5— Section header —

5.1Given:

5.1.1Write the equation in standard form: (2\

5.1.2Determine the gradient. (1\

5.1.3Determine the intercept in coordinate form. (2\

5.1.4Draw the graph using the graph paper. (4\

5.2On the same set of axes as used in

Q5— Section header —

Q6— Section header —

6.1Explain the meaning of the symbol III (1\

6.2Name TWO conditions for two triangles to be III (2\

6.3Calculate the length of side in by using Pythagoras ' theorem (2\

6.4Calculate the length of side using the properties of III triangles. (3\

6.5Calculate the magnitude of angle (2\ [10] (16030121\ Copyright reserved10

Q7— Section header —

7.1Draw the graph of for on graph paper. (4\

7.2

Q8— Section header —

8.1Calculate the volume of the wood needed to manufacture ONE door wedge in cm (4\ (16030121\

8.2

8.2.1Determine the surface area of the room.

8.2.2Determine the surface area of ONE tile in meter square.

8.2.3How many tiles will be needed to tile the room if no tiles are broken? Round up.

8.2.4

8.3Convert 2 500 000 mm to m (2\ [14] TOTAL: 10014

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryStatisticsFunctions

Mark Allocation

Total100 marks

Sections15 + 9 + 17 + 16 + 12 + 10 + 7 + 14 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN1

Document typeQuestion paper

Year2022

MonthNovember

Pages9

Downloads8

Examination context

Decade2020s

Years ago4y

SeasonSpring (SH)

Start dayTuesday

Exam periodNovember 2022

Days since exam1,439

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 size361 KB

Pages9

Archived on8 September 2026

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