Mathematics N1 — Document

August 2018 — N1 — Mathematics

N1 2018 Nated Engineering

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📋 Document Analysis

🎯 100 marks ⏱️ 3h 📄 7 pages 📝 58 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 —

1.1Simplify the following without using a calculator and by making use of exponential and/or logarithmic laws:

1.1.1(2

1.1.2(4

1.1.3(4

1.2Simplify the following logarithms without using a calculator:

1.2.1(2\

1.2.2[15] QU STION 215

2.1Divide by (3

2.2Subtract from (3 [6]6

Q3— Section header —

3.1Factorise the following expressions fully:

3.1.1(2

3.1.2(3\

3.2Simplify the following:

3.2.2(5\ (16030121\ T990 (E\ (J23\T Copyright reserved

3.3Determine the lowest common multiple (LCM\ and the highest common factor of (HCF\ the following algebraic terms by making use of prime factors: [20]20

Q4— Section header —

4.1Solve for

4.1.1(4

4.1.2(2\

4.2Sarah is five times as old as Mavis. After four years Sarah will be three times as old as Mavis. Calculate their present ages

4.3The volume of a cylinder is:

4.3.1Make the subject of the formula.

4.3.2

Q5— Section header —

5.1Study the graph below.

5.1.1Write down the coordinates of and (2\

5.1.2Calculate the gradient of the straight line

5.1.3Determine the equation of the straight line [*Write your answer in form:

5.2Given:

5.2.1Complete the table below. (2\

5.2.2Draw the graph by making use of the table given

Q5— Section header —

5.2.3Determine the relation of the values and values of the graph.

5.2.4What is the name of the graph? (1\ [1

Q6— Section header —

6.1Define the following:

6.1.1Isosceles triangle.

6.1.2

6.2Given III

6.2.1Complete the following: (1\

6.2.2Solve for in (2\

6.3Given: with extended to . Calculate and . Give reasons for your answers.

Q7— Section header —

7.1Simplify the following without the use of a calculator and by making use of special angles:

7.2Given: rite down the following trigonometric ratios in terms of and

7.2.2

7.3.2(3\ [11]11

7.3If and use a calculator and simplify the following:

7.3.1(2\ (16030121\ T990 (E\ (J23\T Copyright

Q8— Section header —

8.1The price of fuel is per litre, it will increase to Calculate the percentage increase. (3\

8.2The area of a right angled triangle is and the base is Calculate the height of a triangle. (3\

8.3A rectangular prism has a length of breadth of and height

8.3.1Calculate the volume of the prism. (3\

8.3.2What is the capacity of the prism if (1\

8.3.3Calculate the surface area of the rectangular prism. (4\ [14] TOTAL: 100 (16030121\14

Mathematical Content

f(x)trig

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryFunctions

Mark Allocation

Total100 marks

Sections15 + 6 + 20 + 9 + 11 + 14 = 75 marks

Paper information

TitleDocument

SubjectMathematics

LevelN1

Document typeQuestion paper

Year2018

MonthAugust

Pages9

Downloads3

Examination context

Decade2010s

Years ago8y

SeasonWinter (SH)

Start dayWednesday

Exam periodAugust 2018

Days since exam2,992

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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