T
Centre Number
Candidate Number
MINISTRY OF EDUCATION, BOTSWANA
in collaboration with
UNIVEHSIW OF CAMBRIDGE LOCAL EXAMINATIONS SYNDICATE
Botswana General certificate of secondary Education
0563/01
MATHEMATICS
October/November 2003
Paper 1
Candidates answer on the Question
Additional Materials:
Geometrical instruments
Paper'
t hour 00 minutee
Read the follouing carefully before you start'
write your centre number, candidate number and name in the space$
provided at the top of this
pag6.
Answer allquestions.
question paper.
write your answsrs in the spaces provided on the
be shown berow that question. omission of essential
rf working is needed for any question, it must
working will result in loss of marks.
fluid.
Do not use staples, paper clips, hightighters, glue or correction
question or part question'
ol marks is givan in brackets [ ] at the end of each
"urrrnber
.*, of the marks tor this PaPer is 50.
question and if tha ansryer is r'
lf the degree of accuracy is not specilied in the
should b-e given to three significant figures'
THE USE OF ANY ChLCULATING AID IS NOT
ALLOWED INTHIS PAPER.
This document consists of 11 printed pag6s and 1 blank
page.
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4
Mathematical formulae for papers
Surface area and volume of
I and 2
solids
ttr2 + xrl
{ Uase area x height
Ihigonometry
Sine Rule
sin4 * sinB _ sin C
abc
ab?
--;--=-E
surA sin B
Area of a triangle
=
)ab
sinC
0563iolltlrNm3
"
sin C
A company wishes to purchase a house, which costs
A deposit of LS?o is to be Paid.
P600000'
Calculate the dePosit to be Paid.
2
Part of an examination timetable is shown below'
Time
Subject
(a)
Starts
Ends
Setswana
0815
Mathematics
1010
1140
HomeManagement
1415
Yt25
The Setswana paper is 50 minutns long"
At what time Coes it enC?
Answer
How long, in hours and minutes, is the break between
(a)..............
tll
Mathematics andHome Management?
Answer (b)............ hours .'.....""minutes t21
l'Ilrrn over
lrc
The petrol tank of oaitse's car was
full. tle drove around the city and used
(a) What fraction of the petrol was left?
f of the petrol.
Answer (a)
He then drove to a nearby farm
without refi*ing the tank and used
(b) What fraction of ttre petrol is now left in
IU
I of the remaining petrol.
the tank?
Answer (b)
4
In a class of 20, each pupil was asked
The results are shown below.
to state the number of brothers they
t21
had.
3, l, 0, 2, 5, 4, 5, 3, 1, 2,
4, 2, 5, 3, 1, l, 0: I; 1E
(a) Complete the frequency table to show the
Number of
brothers
information.
Number of pupils
0
I
2
3
4
5
121
(b) State the modal number of brothers.
Answer
(e) Calculate the mean number of brorhers per pupil.
oJ530vo/hu03
For
furuaiwr't
Ilsc
The first three riangle numbers are 1, 3 and 6'
lYrite down the next three.
(a) Factorise 15x- lZY-
(b) Solve the inequalitY
1-b <5,
Flhrn ovar
For
Etsldwr's
The scale drawing below shows the positions of the main mall, a hospital and a supermarket
town.
in a
Usz
North
Supermarket
Main
Mall
(a) What is the distance, in km, between tho supermarket and the main mall?
.Answer(ol."'.".--.'-. .-."""'ktr l2l
(h) Measure and write down the bearing of the main mall from the hospital'
Ilbrn over
For
Erzrirurt
in a
a hospital and a supetmarket
The scale drawing below shows the positions of the rnain mall,
Ust
tosrn.
North
Supermarket
Main
Mall
(a) lilhat is the distance, in km, betrreen the supermarket and the main mall?
., :.
r.ri r.-
'.
" .r, irr.ajt::
i
Answer (al.;....'..-'..-.-""."'"""
"""""""Jm
(b) Measure and write dowu the bearing of the main mall from the hospital'
I
plrrn over
on the axes provided, use the values of x fnom
-2 to 2to draw the graphs of
{i) } ={,
(ii) y=x+ l.
t1l
tll
(b) Hence or otherwise solve the simultaneous equations
) = *.t and
)=*+ 1.
Answer (D) x = ,.............. ,
.I =
t21
9
(a) The dragnam shows par:allelogr
a
For
am ABCDwith A6g
Eruaiall l'
= 69".
Un
CalculateDf,B.
Answer (a)
trl
In the diagram' the noinrg
ries on tho circumference
of a circre
ABC is a srraight line which
*"h;;;;;e at point B only. centre o.
5
o
0) \That is the geometrical name for the line AgC?
., Answer (&) (i)
fti) Given that OB = 5cm and OA
= 13cm, calculate the length
Answer (r)
(ii)
tll
of AB.
.......cm t2I
L3 r ne coordrnates of the end points of the diame*r
L&,'Der--l_.
of a circre are (3, I ) and (_1 4).
,
Usc
Calculate
(a) the coordinates of the centre of the
circle,
Answer (a)
(b) the length of the diameter of the
121
circle.
t3 (a) Write {rf in index form.
Answer (a)
{bt
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ti,, ts,.4r,.
(ii)#
Answer (r) (i)
Answer (D) (ii)
0563/0y0[v03
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