MINISTRY OF EDUCATION

REPUBLIC OF NAMIBIA

MINISTRY OF EDUCATION

NAMIBIA SENIOR SECONDARY CERTIFICATE

MATHEMATICS

SPECIMEN PAPERS 1 ¨C 2, MARK SCHEMES

AND ANALYSIS

HIGHER LEVEL

GRADES 11 ¨C 12

THESE PAPERS AND MARK SCHEMES SERVE TO

EXEMPLIFY THE SPECIFICATIONS IN THE LOCALISED

NSSC MATHEMATICS HIGHER LEVEL SYLLABUS

2006

Ministry of Education

National Institute for Educational Development (NIED)

Private Bag 2034

Okahandja

Namibia

? Copyright NIED, Ministry of Education, 2005

NSSCH Mathematics Specimen Paper Booklet Grades 11 - 12

ISBN: 99916-69-02-7

Printed by NIED

Publication date: 2005

TABLE OF CONTENTS

Paper 1: Specimen Paper .........................................................................................................1

Paper 1: Mark Scheme .............................................................................................................9

Paper 1: Paper Analysis .........................................................................................................11

Paper 2: Specimen Paper .......................................................................................................12

Paper 2: Mark Scheme ...........................................................................................................18

Paper 2: Paper Analysis .........................................................................................................22

MINISTRY OF EDUCATION

Namibia Senior Secondary Certificate (NSSC)

MATHEMATICS: HIGHER LEVEL

PAPER 1:

SPECIMEN PAPER

TIME: 2 hours

MARK: 80 marks

Additional Materials:

Answer Book / Paper

Electronic calculator

Geometrical instruments

One sheet of graph paper

READ THESE INSTRUCTIONS FIRST

Write your Centre number, candidate number and name in the spaces provided on the answer

paper.

Write in dark blue or black pen on both sides of the paper.

You may use a soft pencil for any diagrams or graphs.

Do not use staples, paper clips, highlighters, glue or correction fluid.

Answer all questions.

Write your answers and working on the separate answer paper provided.

All working must be clearly shown. It should be done on the same sheet as the rest of the

answer.

Marks will be given for working which shows that you know how to solve a problem even if

you get the answer wrong.

At the end of the examination, fasten all your work securely together.

The number of marks is given in brackets ( ) at the end of each question or part question.

The total number of marks for this paper is 80.

Non-programmable scientific calculators should be used.

If the degree of accuracy is not specified and if the answer is not exact, give the answer to

three significant figures. Give answers in degrees to one decimal place.

This question paper consists of 8 printed pages.

1

1.

A train leaves Windhoek at 18:40 on Monday evening and arrives at Swakopmund at

05:37 on Tuesday.

(a) Find the time of the train journey in hours and minutes.

(1)

(b) The distance between Windhoek and Swakopmund is 380 km.

Calculate the average speed of the train in km/h.

(2)

___________________________________________________________________

2.

(a) Solve the inequality

10 ¨C 6.5x < 23.

(2)

(b) Write down the smallest integer that satisfies this inequality.

(1)

___________________________________________________________________

3.

The diagram shows a rope AB of length 20 m, correct to the nearest metre.

NOT TO SCALE

A piece, CB, is cut from the rope.

Given that the length CB is 2.5 metres, correct to 1 decimal place, find the maximum

possible length of the remaining piece, AC.

(3)

___________________________________________________________________

4.

The stored energy, E joules, in an elastic string is directly proportional to the square of

the extension, x, in centimetres. The stored energy is 60 joules when the extension is

5 cm.

(a) Find the equation relating E to x.

(2)

(b) Find the extension of the string when the stored energy is 135 joules.

(1)

___________________________________________________________________

2

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