Mathematics N2 — Document

August 2021 — N2 — Mathematics

N2 2021 Nated Engineering

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🎯 100 marks ⏱️ 3h 📄 7 pages 📝 55 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 calculator

1.1.2(2\

1.2Simplify the following expression using logarithm laws. SHOW YOUR WORKING

1.2.1(4\

1.2.2(3\

1.3So lve for in the following:

1.3.2(3\ [1

Q2— Section header —

2.1Simplify the following algebraic fractions:

2.1.1(5\

2.1.2(5\

2.2Given:

2.2.1Factorise each expression completely

2.2.2Determine the Highest Common Factor ( HCF of th three expressions.

2.2.3Determine the Lowest Common Multiple ( LCM of the three expressions.

Q3— Section header —

3.1If his grandmother is 97 years old, how o ld is the man? (2\

3.2Given: Solve the equation using the quadratic formula

3.3Given 3. .1 the subject of the f ormula

3.4Given: and Solve for nd (4\ 13

Q4— Section header —

4.1A coffee shop intends to start selling cappuccino in a conical shaped disposable cup with perpendicular height of 15 cm

4.1.1The base radius of the cup (3\

4.1.2The slant height of the cup (2\

4.1.3The surface area of the cup if it has a circular lid (2\ 415470 nn

4.2Given etermine the followi ng:

4.2.1The intercept of the function (1\

4.2.2The intercept (s\ of the function (provide only the

4.2.3The equation of the axis of symmetry of the function (1\

4.2.4The coordinate of the turning point of the function (1\

4.2.5Using the GRAPH PAPER provided draw the graph of on a system of axes. Indicate all intercepts with the axes, the turning point, and the axis

4.3Draw the gra ph of on the same system of axes used for

Q4— Section header —

4.4Read from the graphs drawn in QUESTION

4.2.5and 4.3 the value(s\ of for which (2\ [20]20

Q5— Section header —

5.1Given for

5.1.1Draw the graph on its own system of axes on the GRAPH PAPER provided

5.1.2Read from the graph

Q5— Section header —

5.2Calculate the value of

5.3Given for alculate the value of (2\

5.4In shown in FIGURE 2 below; cm and FIGURE 2 Calculate the following: 5.

Q6— Section header —

6.1Convert to degrees and minutes (1\

6.2A sector of a circle has a n arc length of cm and a radius of cm Calculate the following:

6.2.1The angle subtended at the centre of the circle by the segment

6.2.2The area of the sector (2\

6.3A wheel with a peripheral ve locity of m/s completed 31 revolutions per second. Calculate the following:

6.3.1The number of revolutions per minute (1\

6.3.2The diameter of the wheel (2\

6.3.3The radius of the wheel (1\ ABC 17 BC 41 90

6.4Dete rmine the length of the major segment (H\ of circle in FIGURE 3 that has a radius of 4 cm and a chord length of 6,9 cm. (4\ FIGURE 3

6.5An irregular figure with one horizontal straight side is divided into 8 strips each 20 mm wide. The or dinates dividing these strips have the following lengths: 120; 139; 148; 163; 154; 148; 136; 127; 118.

Mathematical Content

f(x)trig

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryFunctions

Mark Allocation

Total100 marks

Sections20 + 16 = 36 marks

Paper information

TitleDocument

SubjectMathematics

LevelN2

Document typeQuestion paper

Year2021

MonthAugust

Pages9

Downloads4

Examination context

Decade2020s

Years ago5y

SeasonWinter (SH)

Start daySunday

Exam periodAugust 2021

Days since exam1,898

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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Pages9

Archived on8 September 2026

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