1992 Words8 Pages

NATIONAL
SENIOR CERTIFICATE
GRADE 12
MATHEMATICS P1
FEBRUARY/MARCH 2012
MARKS: 150
TIME: 3 hours
This question paper consists of 9 pages, 1 diagram sheet and 1 information sheet.
Copyright reserved
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2
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INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1.
This question paper consists of 12 questions.
2.
Answer ALL the questions.
3.
Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in determining your answers.
4.
Answers only will not necessarily be awarded full marks.
5.
You may use an approved scientific calculator (non-programmable and nongraphical), unless stated otherwise.
6.
If necessary, round off answers to TWO decimal places, unless stated otherwise.
7.
Diagrams are NOT necessarily drawn to scale.
8.
ONE diagram sheet for answering QUESTION 12.2 is attached at the end of this question paper. Write your centre number and examination number on this sheet in the spaces provided and insert the page inside the back cover of your ANSWER
BOOK.
9.
An information sheet, with formulae, is included at the end of the question paper.
10.
Number the answers correctly according to the numbering system used in this question paper.
11.
Write neatly and legibly.
Copyright reserved
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QUESTION 1
1.1
Solve for x:
1.1.1
(3)
1.1.2
x−
2
=5
x
(4)
1.1.3
1.2
3x 2 − 5 x = 2
( x + 1)( x − 3) > 12
(4)
Solve simultaneously for r and p in the following set of equations:
6r + 5rp – 5p = 8 r+p=2 1.3
(7)
The volume of a box with a rectangular base is 3 072 cm3. The lengths of the sides are in the ratio 1 : 2 : 3. Calculate the length

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