Mathematics N1 — Document

August 2021 — N1 — Mathematics

N1 2021 Nated Engineering

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🎯 100 marks ⏱️ 3h 📄 6 pages 📝 50 items found 📚 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.

Q5— Section header —

Q1— Section header —

1.1Simplify each of the following without a calculator, by using exponential laws:

1.1.1(4\

1.1.2(3\

1.2Simplify, without a calculator, by using logarithmic laws: (4\

1.3Solve for without using a calculator: (4\ [15]15

Q2— Section header —

2.1Divide by (7\

2.2From subtract (3\

2.3Remove the brackets and simplify: (3\ [13]13

Q3— Section header —

3.1Fully factorise the following expressions:

3.1.1(3\

3.1.2(4\

3.2Simplify the following: (5\ 16030121 Copyright reserved

3.3Determine the following from the algebraic terms:

3.3.1The prime factors of each term

3.3.2The lowest common multiple (LCM\

3.3.318

Q4— Section header —

4.1Solve the following linear equation: (5\

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

Q4— Section header —

4.4At what speed did you travel if it took you to cover (3\

4.5The difference between times a number and is zero. What is the number? (4\ [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. (1\

5.2Given:

5.2.1Write the equation in standard form. (1\

5.2.2In which quadrants is the graph drawn? (2\

5.2.3What is the name of the graph? (1\ 16030121 Copyright reserved

5.3Use the table method to draw the graph of for the domain on GRAPH PAPER. All values at the points of intersection with the system of axes must be shown. (5\ [13]13

Q6— Section header —

6.1Name TWO conditions for two triangles to be congruent. (2\

6.2Find the length of if and (3\

6.3Name the properties of an isosceles triangle. (2\ [7]7

Q7— Section header —

7.1A straight boat ramp is being designed to cover a horizontal distance of with an angle of elevation of Find the length of the boat ramp. (4\

7.2Simplify, without a calculator, by using special angles: (3\ [7] 160301217

Q8— Section header —

8.1Given: and Calculate the area of the parallelogram. (2\

8.2The illustration shows a right triangular prism with the following measurements: and

8.2.1Calculate the perimeter of

8.2.2Calculate the area of rectangle

8.2.3

8.3Thabo wants to buy a cell phone. At the beginning of the month the phone cost . When Thabo finally got his salary at the end of the month, the cell phone was on sale for What percentage of money did Thabo save?

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryFunctions

Mark Allocation

Total100 marks

Sections15 + 13 + 18 + 16 + 13 + 7 + 7 + 11 = 100 marks

Paper information

TitleDocument

SubjectMathematics

LevelN1

Document typeQuestion paper

Year2021

MonthAugust

Pages8

Downloads3

Examination context

Decade2020s

Years ago5y

SeasonWinter (SH)

Start daySunday

Exam periodAugust 2021

Days since exam1,896

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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