z'ffi
- -B'CITSWANA
EXAMINATIONS COUNCIL
in coliaboration with
UNIVERSITY OF CAMBTIDGE LOCAI- EXAMIf,{ATIONS
SYNDICATE
Botswana Genera[ certificate of secondary Education
CANDIDATE
NAME
CENTRE
NUMBER
CANDIDATE
NUMBER
i:
h{ATHEilEATICS
0563/01
October/November 2009
Paper f
t hour 30 minutes
-l-
o:
a--
+E
Candidates ansvyer on the euestion paper.
Additional Materials: Geometrlcal instruments
READ THESE INSTRUCTIONS FIRST
Write your centre nurnber, candidate number and name in the spaces provided
Answer all questions.
at the top of this page.
write your ansvvers in the spaces provided on the question paper.
lf workirrg is needed for any question, it rnust be shown below that question.
omission of essentlal worklng will
result in loss of marks.
Do not use staples, paper clips, highlighters, glue or correction fluid.
The number of marks !s given in brackets I i at the end of each question
or part question.
The total of the marks forthis paper is 50.
lf the degree of accuracy is not specified in the question and if the
answer is not exact, the answer should be
given to three significant figures.
ThIE USE OF ANY CALCULATING AiD IS NOT
ALLOVYED TN TTiTS PAPER.
For Examiner's Use
This document consists of '13 printed pages and 3 blank pages.
sP {SLIVVCGW) TS6AOZB
@ BEC 2008
[Tirrn over
2
Mathematical formulae for papers I and 2
Surface arrea and volume of solids
Name of solid
Totai surface area
Volume
cone
nrZ + tcrl
lnr2n
{ nase area x height
pyramid
sphere
4n12
*oru
Tfigonometry
sine RIG
-
^:- nI
Jffi
F;n /-in
ortrg D -'-*-trv
abc
-=abc
sinA - sinB sin C
1
Area of a triangle
*--,-.--..;*ffi.f__
sinC
=*ab
L
T3
For
F,x6niner\
Uss
A square plot has sides 4Om long.
{a} Calculate ttre perimeter of the plot.
(b) The plot is to be fenced leaving out a Iength of 3.6m for the gate.
Calculate the total length to be fenced.
tu
Answer
tlt
Z
The table below shows a pattern of numbers such that row I has a sum of l, row 2 has a sum of 4,
and so on.
Row Number
kttem
Sum
I
I
I
4
z
1
3
135
9
4
1357
t6
3
(a) What name is given to the class of nurnbers io the pattern?
(b) Write Oo*, *,6'ffi.gest numffiiffthe 8th rffiiif'the pattern.
(c) State the row numberfor the row with a sum of lM.
4
The Times uewspaper costs P2.50 each and the Gossip newspaper costs P3.00 each.
The Times is published 5 days in a week and the 6os'sip once a week.
Lesedi buys a copy of every publication of each newspaper.
How rnuch does he spend on the newspapers in a week?
Answer P
121
4 (a) Write down all ttre factors of 44.
{b,) Find the highest common factor of 4tr.and LZl.
5
(a)
Solve the inequality I - 2x < 6,
(b)
Write down the least integer value of x for which I - zrc < 6.
121
tlI
:a
Ltominer's
EEe +$gq!Sge belorv shows the amounts of money, in Fula, cotrlected by a class of 20 pupils for a
sponsored walk.
1, L, 3, 2,
5,2,3,1,3,1,.3,
1,
4,
l,
3,
A
T,
z,
ro
t.
i.
{ai Calculate tlae range for the amounts coliected.
(b)
Complete the frequency table below for the distribution.
Lzl
(e) Write down the amount which was collected more oiten gtran other amounts by the pupils.
Answer {a) P,
tu
(c) P
ttt
frTlrrn
nra-
Ux
the mass in
The body mass index, { is given by theformula l= 4,whercMis
Hz'
ttre height in rnetres.
(a) BoiEurnelo has a mass of 64kg and a height of f.o*.
Calculate her bodY mass index.
(b) Kgosi has a body mass index of 18, correct to the nearest unit.
State the lower bound for his body mass index'
I
Solve the equation
3=4
?r-L x
Answer
L?
Evaluate 162 xTl3
kilograrns and f/is
For
Exoninerl
10
Use
The graph below illustrates the distance covered by a cyclist over a period of 50 rninutes.
18
1
t4
t2
om*
10
8
2A 30 40
Time (minutes)
(a)
How many kilometres did the cyclist cover in the first 20 minutes?
(b) Calculate the average speed of the cyclist in km/tr over the 50-minute pedod.
r:&,
.-..-
*6:@.
*rw{--il
rW'
-:sL'-'
t11
t21
For
Ex$Einerk
trse
11 The diagram below shows the graph of
line /'
(a)
the
On the same diagram, draw
graph
(b)
value of y which
Find the value of x and the
of y = lx + t for values of xfrom-2 to 5'
satisfy both the equations of
line I and the line
y= lx+ L
#1 " Answer\ff:?': ...........:..,* y = .."""""i:*-t2i
t
I
V
rl
ts
For i
For
Erailinri.\
Eroninerti
trse
i ,u
Use
The table below shorvs the ages of 37 cornpetitors in a karate tournarnent.
I
I
I
I
j
Age (A) in years
t3<A<15
i,T,"*L^-
^t compeEffiGrs
^^*-^.:a-.
ft itrriDei 01
4
t5<A<77
17<A < !.9
11
19 <A <21
9
2t <A<23
3
I
t,
On the diagram below, draw afreqtlency polygon to show the information.
Izt
: For
uratninets
t1
15 ?lee diagram beiow shows thepositions of two villages Aand B.
B is l50km away from A on a bearing of 053".
North'
NOT TO SCALE
(a) Calcedate tire bearing of A frorn B.
{e} Anothe++,i}lage@so901<rndue-sour}e
of ,g.
Calculate the distance from A to C.
121
121
16 Find the value of .r where the line ?a + y = 3 crosses the.r-axis.
Answer
121
t2
The diagram below shows part of a scale used for measuring mass.
(a)
How many grams does each small division represent?
(b) Write dovyn the value of p.
lE Approximate the value of
11265 +?-46.
Answer
t21
For
Exuniner's
Use
(a) Statet
the Pc}3goe".
Itj
ill
I