Paper

NATIONAL

SENIOR CERTIFICATE

GRADE 12

MATHEMATICS P1

NOVEMBER 2008

MARKS: 150

TIME: 3 hours

This question paper consists of 10 pages, an information sheet and 2 diagram sheets.

Copyright reserved

Please turn over

Mathematics/P1

2

NSC

DoE/November 2008

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

1.

This question paper consists of 11 questions. Answer ALL the questions.

2.

Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in

determining your answers.

3.

An approved scientific calculator (non-programmable and non-graphical) may be

used, unless stated otherwise.

4.

If necessary, answers should be rounded off to TWO decimal places, unless stated

otherwise.

5.

Diagrams are NOT necessarily drawn to scale.

6.

TWO diagram sheets for answering QUESTION 5.1, QUESTION 5.2,

QUESTION 11.2 and QUESTION 11.3 are included at the end of this question paper.

Write your examination number on these sheets in the spaces provided and hand them

in together with your ANSWER BOOK.

7.

Number the answers correctly according to the numbering system used in this

question paper.

8.

It is in your own interest to write legibly and to present the work neatly.

Copyright reserved

Please turn over

Mathematics/P1

3

NSC

DoE/November 2008

QUESTION 1

1.1

Solve for x, rounded off to TWO decimal places where necessary:

1.1.1

(3)

1.1.2

x(3 − x) = −3

(5)

1.1.3

1.2

x2 = 5x − 4

3 − x < 2x2

(5)

Determine the values of x and y if they satisfy both the following equations

simultaneously:

2x + y = 3

x2 + y + x = y2

1.3

(8)

Given x = 999 999 999 999, determine the exact value of

Show ALL your calculations.

1.4

Explain why the equation

Copyright reserved

x4 + 1 1

= has no real roots.

x4

2

x2 − 4

.

x−2

(3)

(2)

[26]

Please turn over

Mathematics/P1...