Uploaded by John Macintosh

June 2001 past paper

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I.
What is the value of the digit 3 in the
·· · ·
• 'riu1~h~r324:1:1 ,
(0)
2:.
~
J
(A)
(D)
(C)
(r
s.
JO
(A)
.300
3 000
,..
is the same
4
-
6
(D)
4
3
(C)
-
a
-
0. 7 5 wriuen.as conimqn fraction is
(A)
2
(C)
(U)
(D)
6.
3
If P = (2,3,5,7)
Q = ( 2,3,6)
nnd S = (2,4,5).
....
7
8
then
scq~1ence. I,
6, 13, 22, 33 the next
...
· tcrrn is
'
(A)
(D)
CC>
(D)
(A)
(13)
(C)
(D)
P"
S =
Q "
.. (
)
l
2 )
(2,) l
(2, ), 4, 5, 6, 7)
44
.rs
7.
·16
52
P'
I'
8.
Q'
Q
Wi1at trahsfonnation maps 6 PQR onto
D. P'Q'/\'?
Translation
Rencction
l{olation
Enlargcmcnl
Which of the following sets is cquivalcn1 lo
(a, b. c, cl)'!
(A)
(B)
(C)
(0)
4.
(A)
( 13)
(C)
(D)
9
2
.;
· 1·;, the
9
4
4
I
(ll)
~s
( ~ )
(11. b, c)
(p, q, r, s)
(I, 2, 3, 4, 5)
The product of a nun1bcr p and its reciproca I may be wri llcn as
(A)
r'
x
(D)
r'
x -p
(C)
p x-p
(D)
r
x
r
p
9.
IU.
11.
2"' x Ja =
15.
(A)
Sa'
(Bl
6t! 2
(C)
(0)
Ga'
12a'
If a= 4, and u = J. Then (-a)"=
(A)
-8 I
(D)
-64
(C)
(D)
-12
+12
5x - 2y - Jx + 2y =
(A)'
(D)
(C)
(D)
hi the figure above, the shaded area can be
rcprcscnlcd by
2x
Bx
2x c. 4y
Bx+ 4y
(A)
(U)
(C)
(0)
12.
A boy scored 60% in a test. If the maximum mark possible: wns 80, how many
marks did he score eon the lest?
.(A)·
13.
16.
4B
(C)
(D)
60
75
. (A)
I Sx + 12
=
J
(A)
(Bl
(C)
(D)
(D)
17x
15x+4
.5x + 12
5x + 4
(C)
14.
(a-b)'=
. •:
(A)
( 13)
(C)
(D)
a' - b'
a.2 + b'
a' - 2ab - b"
e1' -
2ab + Ii'
s
x
x
y
y
s
- 2)
;,, - 2)
s -21
;,, -21
Whic,1 of_ these drawings rcpresems a
sqi1are 1iyra111id?
20
(D)
(-3
( - 3 ;,,
(- J s
( - 3 ;::
{DJ
How many kilograms are there in one tonne?
17.
··.·.·.
(A)
(B)
-(C) .
(D)
22.
...
Which of the following is a subse_t .. of
{ I, 2, 3 f7
.
,
10
100
(A)
I 000
(B)
10000
.<C:>
.·.
(D)
"How a housewife divides her budget:"
Which of the following best displays the
answer?
18.
(A)
Bar chart·
1
(B') · ·· •'His!ogtam
(C)
Line graph
(D)
Pie c;h~rt;
:·.
19.
.
( 1..3)
(0, ·3)
(~. 4)
(l,'2,3,4)
liem 23 refers to the figure below which
shows the.number ofleaves on rose-stems .
...
. .. . . . . .. .. . . .. ·1+···++H· · ·
~
In a class of no· students; 100 are·gitls.
Whal is the probabilil.Y Iha! a student chosen'
at random is a boy?
. 1
(A)
6
(B)
-51
(C).
-
Number
1
2
5
(D)
20.
21.
-6
An article bought for $125 was sold for
$175. The percentage profit was
(A)
(ll)
28.6
40
(Cl
50
(C)
71.4
299.4 x 0.05 is approximately
(A)
(ll)
(C)
CD)
0.15
1.5
IS
150
23.
or leaves
The tot"l number of rose-stems is
(A)
(ll)
(C)
(D)
36
40
100
110
·· · · ·
26.
24.
Tom bought a pen for $60and sold il lo gain
20% on his cost price. How much money
did he guin'I
·
y
(A)
(B)
Sl2
S40
(Cj
$72
(D)
$80
2
I
x
-1
27.
-2
· When the sum of x and 6 is multiplied by 2
and the resull added to 3, the answer is 5.
The slalemcnl above may be wrillen as
(A)
(B)
(C)
The diagram abo\le shows a graph of
y = x(x -. 2). The·.1ninimum poinl is
(D)
2x+6+3=5
.. +G(6x2)+3=5
6xx·2+3=5 ·
2(x +· 6) + 3 = 5
(0, 0) .· '
cz:or..,-.< ·
''"(l
• l)•'.•V·
. : . ,,
. ', .. ~...
(I, -JL· .:
. . ·.:
'
.
28.
If x is:an mlcgcr whii:h salislics lhe inequalities ·.
4 < x -2 < 8, lhcn x may be
:·;. /"•
25;
(A)
(B)
(C)
(D)
A
4
5
6
7
29.
x
AOB is a sector of a circle _such lhal angle
AOB=60°and0Bisrunilslong. The area
of AOB is
-4
2
5-·<-----J.-8
H-
(A)
y
II
..L Ttr
II
14
6
(B)
l
Ttr
3
(C)
(D)
I
I
I
3
nr
!.. nr
6
The arrow diagram above shows a function. Which of lhe following BEST describes lhc function?
(A)
(B)
(C)
(D)
I: x
__. y
y=x
x=y +3
y =x + 3
..
, ..
JO.
· In which of the following a_rc the fractions
. . ··- arraug.ed· from the smallest to the greatest?
{A)
5
{~2 •
-5I
)
(1::1)
(G)--
(D)
I
/f · -. 4"
1~5.
{
5
I
I
-
-
4
3
)'
4
-3
2
c111'.
}
}
In lhe figure above, x =
'
34.
ADCD is a rcclanglc. The points P, Q. fl
and S arc midpoints of the sides llD, BC,
CD and 011 respectively. The two axes of
symmetry are
(A)
9 cm
(D)
.j75 Clll
(C)
10 cm
(D)
.J12s cm
Which of the following is NOT a
quadrilateral?
..
Square
Pentagon
.
Parallelogram
Rhombus
(A)
(B)
(C)
c and no
(D)
PR and SQ
II C and PR
SQ and DD
JS.
CC)
T
l'
(0)".
';
36.
s
Q
In lhe diagram, PT is parallel lo QS, and
. nrea of t1 TQS
Qll =RS. Then lI1c ral10
•
area
d /'QR
or
IS
I: I
(0)
2: I
J: I
4: I
(C)
(l)J
2.3 x 10
2.J x 10'
· 7.2 X• IO
7.2 x IO'
,·
Mr Jones paid a fixed charge of $12.50
plus 55 cents for.each Kwh of clectrici1y
used. How much did he pay for using
7_5 Kwh of ~lectriCity?
(A)
.$ 13.80
(D)i •
$ 41.25
$ 53.75
$142.50
(Cl
(D)
(A)
is approximately
Js20
(A)
(B)
Item 32refers10 lhe diagram below.
32.
c.-... ·.
}
c
11
.
8
31.
(A)
(D)
(C)
(D)
·-·
.·6
l·
2
4·
. 33.
37.
During a sale a discount or 15% was gi YCll
. off the marked price or a chair. Ir !he
marked price was $115.00, then the sale
price was
42.
.:::-~.+l-·~-·-...1-·-----~t--•t---7
•..· ...
-3
-2
-1
0
.
(A)
(D)
(C)
(D)
38.
.$ 97.15
·$ I00.00
$130.QO
$132.25
(A)
(U)
(C)
(D)
.
CC)
(0)
..
3
I
The graph or the inequality in the diagram
abovds de lined by ·
The exact value or 2.;. \0.01) is
(A)
(B)
l
0.002
0.02
200
2000
-2 <x.< 2
-2 < .< s 2
-2
x s2
-2 s x < 2
s
43.
Hem
6
c111 . ·
6 c1n
39.
The width of a rectangular block of wood is
.rcentimetres. trils height is two-thirds its
width and its leuglh is 4 times ils heigh!,
then its volume. in cubic centimetres is
Wha~ i~.lhl' perimeter or the shape ~~ovc?
(A)
(0)
40.
2•1 cri1
16.c J .
(D)
(C)
9.
(0)
26 cm
28cm
48 cm
Sx'
3
(D)
-l7x
3
44.
A car was bought for $10 000 in January
1997. Ir the <:nr depreciates by 10% every
year, what was its worth in January 2000?
$3 000
$7 290
$8 000
$9 000
(U)
(C)
(D)
$ 375
$ 500
.'S 1 500
$4 500
Tkc set (x : 6
integer) is
s
x < 10, where.< is an
(A)
(D)
(6.7.8.9)
(6. 7. 8. 9. 101
(C)
(7, 8, 9)
(7,8,9, 10)
(I))
,.
The simple interest on $15 000 for three
months al 10% per annum is
(A)
' >
(A)
(C)
(A)
(13)
(C)
(D)
41.
,...
8.c
9
, .. ·
47.
45.
0
Jerry takes 16. minutes to drive to his .
workplace which is 24 km away from his
home; .His speed in km per himr is
(A)
16 . I
-x24 60
(B)
24· 16
-x60 . l
{C)
16 60
-x24
1
{0)
24 60
-x. 16 . r
32 cm
Iii the figure above; not drnwn to·scnle, 0
is the centre oflhe circle, AD is a chord and
OM is perpendicular to AD. If OD= 20cm
nnd
. AB = J2 cm, then OM=
.
(A)
Bern
(B)
10 cm
12cm
16 cm
(C)
(D)
48.
(A)
(D)
(C)
Item 46 refers to the., following diagram.
x '•
(D)
49.
46.
The diagram above shows a regular hci<agon inscribed in a circle. The distance
between X and l' along the arc is
Each exterior angle of a regular polygon
measures 45°. How many sides has the
polygon?.
50.
4
6
8
10
If (P - J) is the largest of four odd numbers, then lhc smallest is
CA)
P- ll
(8)
(C)
(0)
P-9
P+3
/'
+5
An article costs $161. lfa profit of I 3% is
to be made when selling, the selling price,
in dollars, is
(A)
nR
3
(A)
161 (1 + &)
(D)
--
1.nU
(0)
IJ (1 + :~)
(C)
161(13+.&-)
(D)
n(161+m,)
(C)
(D)
)
nR 2
3
2nfl
3
2
SI.
A company employs 12 gardeners at $'.!6
per day, and 8 clerks al S 17 per day. What
is the mean daily wage, in dollars, of the 20
· employees7 ..
.,.,
(A)
{B)
(C)
$20.00
.$21.50
(D)
.$31.50
54.
Homework
Reading
T.V
$22.40
Items 52 - 53 refer to the table below.
The diagram above shows how a pupil
spends the time between 8 a.m. and 8 p.m.
on Saturdays.
A die is thrown and the scores recorded as
shown.
How many hours,does he spe!ld_ on T.V.?
Score·
I
3
2
4. 5
6
{A).
Frequency. 2
I
3
6
5
(B)'
3
(C)
(0)
52.
·2·
·3:
4
6
The median score is
c
55.
(A)
(B)
(C)
(D)
53.
3.
4
5
5 cru
6
The mean score is
(Al
3.7
(B)
(C)
(D)
4
l l cm
A
8
111 triangle AOC above. AD = 12 cm,
AC·= ·13 cm, DC= 5 cm. Whal is tan C!
5
13.3
(A)
....
5
13
cny·•· -1213
(C)
(0)
12
5
13
5
l!cms 56 am! 57 refer to the graph below.
.. H. tt· :t .j::i.~~1: f:IJt1. :_v:·1- ltJ.I i:l I ·1 . :ti:r
l
! f-t t ;·1.1:
58.
A
~I- :
I
l'1 ' I ,
1'_
- - J .. .
. ~. .
2- .. -·
I
-
·:: ..
RfnWr.17.-.. ·.1:!ff.:t:J:t_+t.>I - ..
-
..
..
:
r
::·
I·
In the parallelogram ABCD above.
AB = 5. cm, BC = 4 cm and angle
ABC = 56°. Whal is the area of 1he
parallelogram ABCD?
...
..
~~"
~1·I ' : .~ : .~: :,'. . :~ .:. •: •' .:~. •
[:l ,-_1_ J_ ;-ij:l-J -~ . . . . '.: : : _1 : J : : 4 ::1 'j. :: -~
, 1:, . . . t l:, . . . . . . .
. . -...
'"
I
:
' :
[JlI l .j:· .j::fl
.....
1:r.; . . . .
I
1
.••
+
::r•
. .1
(A)
. {D)
::;::
· -lj:.
I ,. . ..
(C)
-(D)
Which or lhe following represents the equation or lhe graph above?
(A)
(D)
(C)
(0)
57.
B
ti .tt · · ·'·'"
..11. ·l't ·
1:f
~i..[ ..'./1~l i·.
r.1· 11 ttr:r-,J .L;.
·('1!:1 i·/ . .,.rr
pi: .Lt'~:
t:· .{. , ,.•.
~ ,
t ..
4
" I ""·I "' J H' ,., ... ·
fl.·l ' "'"'.~I ' :· ·'l.· ·-'l· ·t·· · : . ·l
il
J · "l • :rr ·1.
·J 1. ·ti-,·•·+·
.• .
:~+
56.
Scm
(C)
{t:l)
59. .
fix) = 3 + 2< - x'
flxJ=.< 1 ~2< -3
fix) = .1>' + 2t - 3
fix) = 3 - 2x - .< 1
The values or x for whichj{x) = 0 arc
(A)
{D)
5 sin 56° cm'
5 cos $6~ cm'.
20 sin. 56° cm'
10 cos 56° cm'
:c = 3 and x = 4
x = I and x = 4
x=-1 andx=3
x = 0 and x = 3
ln°1he figure above, 0 is lhe centre of lhe
circle. Angle PQR is
(A)
(ll)
(C)
. 11 •
90°
IJS•
(0)
1so·
'
..
••
60.
The poinl 1\ is shown 011 lhcd i:igram abov c.
Whal an: lhe co-ordinalesorthe image of 1\
under rc!lcclion in lhc_v-a><is'I
(A)
(IJ)
(C)
(D)
(-4, J)
(4, -J)
(J. _,,)
(-J, 4)
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