:)AN
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-3-
1.
The exact value of6 + (0.0003) is
6.
1
(A)
(B)
(C)
(D)
200
2000
20000
200000
4i
Express
as a decimal correct to
3 significant figures
(A)
(B)
(C)
(D)
2.
0.0346 written in standard fonn is
(A)
(B)
(C)
(D)
3.
3.46x 102
3.46x 10
3.46x 10- 1
3.46x 10-2
~~.
7.
(D)
9
18
90.
1080
1
8.
(- 2 )3 is the same as
3
(A)
1
(B)
1
(C)
l
(D)
l
(C)
.
(B)
(C)
(D)
9
5
1
-
8
3
25
~172 - 15
(A)
(B)
(C)
(D)
What is the Highest Common Factorofthe
setofnumbers { 54, 72, 90}?
(A)
(B)
Express 0.12 as a fraction in its lowest
tenns.
(A)
4.
2
1
2
8
16
9.
John, Peter and Mary shared a sum of
money in the ratio 2: 4: 9. John and Peter
togetherreceived$360. How much money
in all Was shared?'
(A)
(B)
$480
$540
(C)
$600
(D)
$900
l
8
6
8
6
What is the value of the digit 2 in the
number 48.621?
(A)
5.
4.30
4.37
4.38
4.40
(B)
-
2
100
2
10
(C)
2
(D)
200
1
.J
.'
.·
-4-
10.
Bythedistributivelaw49x 17+49x3=
(A)
(B)
(C)
(D)
13.
52+66
52x66
49+20
49x20
In which one of the followi~.g Venn
diagrams is the region An B' shaded?
(A)
u
(B)
u
(C)
u
(D)
u
A
B
Item 11 refers to the Venn diagram ~elow.
11.
In the Venn diagram above, the shaded
area represents
(A)
(B)
(C)
(D)
P'
(P u Q)'
P' uQ
P' nQ
Item 12 refers to the Venn diagram below.
14.
A= {Factors of30}
B= {Prime numbers less than IO}
C= {Even whole numbers Jess than 1O}
Then n (A n B nC) is
12.
In the figure above, X represents the set of
multiples of four. Y represents the set of
multiples of five. The shaded region
representsthesetofall multiples of
(A)
(B)
(C)
(D)
8
9
10
20
(A)
(8)
(C)
(D)
0
l
2
9
-5-
15.
Item 18 refers to the table below.
one sweet is
(A)
(B)
qp cents
pq cents
0
1 2
3
4
5
6
7
8
9
No.of
students
5
2
4
6
8
8
4
9
1
(A)
2
5
(B)
3
5
discount is
(C)
11
25
(A)
(B)
(D)
(D)
16.
Mark
(q - p) cents
A dress which costs $180 is being sold at
a discount of 10%. The amount of the
(C)
$ 1.80
$ 10.00
$ 18.00
(D)
$170.00
3
The table above shows the marks obtained
by 50 students in a test. What is the
probability that a student chosen at random
would have obtained a score less than 5?
(C)
14
25
Item 19 refers to the table below.
17.
An article bought for $125 was sold for
$17 5. The percentage profit was
(A)
28.6
(B)
40
50
71.4
(C)
(D)
19.
House Insurance
25¢ per $100
Contents Insurance
50¢ per $100
The above table shows the rates charged
byaninsurancecompany. Howmuchwill
a person pay for his insurance, ifhishouse
is valued at $50 000, and the contents at
$10000?
i ..
I.~
Ifp sw~ets cost q cents, then the cost of
·'
•"
(A)
(B)
$500
$450
(C)
$225
(D)
$175
..
-620.
(A)
(B)
(C)
(D)
21.
$12
$40
$72
$80
Mary invested $200 for 3 years at 5% per
annum. Johri invested $300 at the same
rate. If they both received the same
amount ofmoney in interest, for how many
years did John invest his money?
(A)
(B)
(C)
(D).
22.
Item 24 refers to the information below.
Tom bought a pen for$60 and sold it to gain
20% on his cost price. How much money
did he gain?
24.
(A)
(B)
(C)
(0)
.1 Y2
2
3
10
25.
She pays $60, saving $15 on .the regular
price. The percentage discount on the
shoes is
20
26.
(C)
(D)
-2(x-4)
(A)
(B).
(C)
(D)
3a2 - ab + 3b 2
3a2 + 4ab + 3b 2
3a2 + 4ab - 3b 2
3a2 + Sab - 3b2
13
3
-5
-7
80
27.
23.
3x+2y
2x+ 3y
Given that a* b=2a-3b, then2 * (-3)=
(A)
(B)
(C)
(D)
(B)
6 xy
5 (x + y)
3a (a+ 2b)- b (2a- 3b) =
(A)
(B)
(C)
(D)
A woman buys a pair of shoes at a sale.
(A)
The total cost of3 pens and 2 boxes is
2(a2 b) 3 =
(A)
(B)
(C)
(D)
-2x-8
-2x-4
-2x+ 4
2aSbl
2a6 b 3
6a2b
8a6b 3
-2.x+ 8
28.
Given that2x+ 3 ~9, the range of values
ofx is
(A)
(B)
(C)
(D)
x>3
x~3
x> 6
x~6
I".
'.
-729.
Giventhat3(x- l)-2(x-1)=7,thevalue
ofxis
(A)
(B)
(C)
(D)
30.
33.
18 cm 3
36cm 3
72cm 3
216cm 3
(A)
(B)
(C)
(D)
6
7
8
9
Item 34 refers to the figure below.
·John hasx marbles and Max has twice as
many. Max gives John 5 ofhismarbles.
How many marbles does Max now have?
(A)
(B)
(C)
(D)
Thevolumeofacubewhoseedgc is6cm
long is
p
.x+ 5
x-5
2.x+ 5
2x- 5
0
Item31 refers to the following diagram.
34.
2 cm
Rectangle
h
· The figure above, not drawn to scale,
shows a sector of a circle centre 0. The
lengthoftheminorarcPQis8cm. What
is the length of the circumference of the
entire circle?
x-4cm
31.
(A)
(B)
(C)
(D)
32.
(A)
(B)
(C)
The area of the rectangle, in cm2 , is x 2 •
The equation that may be used to find the
value ofxis
·
x = 2(x - 4)
x 2 =(x-2)(x-4)
x 2 = 2(x - 4) (x - 2)
x 2 =(x-4)(x+2)
2
The mass, in kg, ofa bag ofrice is given as
10.6 correct to 1 decimal place. The
range of values in which the actual mass
lies is
(A).
(B)
(C)
(0)
(D)
16cm
24cm
48cm
64cm
I 0.5 :Sm S 10. 7
10.sssm< 10.65
I 0.59 :Sm S 10.69
10.55sm::::10.65
35.
The distance around the edge ofacircular
pond is 88 m. The radius, in metres is
(A)
88n
(B)
176n
(C)
(D)
88
88
2rr
I·
t
•
-8Items 40-42 refer to the diagram below
which shows the sport chosen by 160 boys
who participated in a games evening at
their school.
Item 36 refers to the diagrams below.
12m
9ml
A
Boxing
16 m
12m
Square
36.
B
Football
Rectangle
Which ofthe following statements is true
about the perimeters ofthe figures A and
B?
(A)
(B)
(C).
(D)
Cricket
Perimeter ofA= Perimeter of B
Perimeter of A> Perimeter of B
Perimeter ofA::=: Perimeter of B
Perimeter of A< Perimeter of B
40.
Then umber ofboys who chose footbal 1is
(A)
37.
The lengths of the sides ofa triangle are
x, 2x and 2x centimetres. Ifthe perimeter
is 20 centimetres, what is the value ofx?
(A)
(B)
(C)
(D)
38.
41.
The area ofa rectangle is 53.6 crn 2 • Ifthe
length is multiplied by four and the width is
halved, the area would then be· ·
(A)
(B)
(C)
(D)
39.
4
5
8
10
40
90
(C)
110
(D)
150
Theprobabilitythataboy chosen at random
participated in boxing is
(A)
l
(B)
l
(C)
26.8 crn 2
53.6cm 2
107.2cm2
214.4cm 2
Each exterior angle of a regular polygon
measures 45°. How many sides has the
(B)
. (D)
42.
8
4
1
2
I
8
How many boys participated in cricket?
polygoo?
(A)
(B)
10
8
(C)
6
4
(D)
(A)
(B)
(C)
(D)
54
60
110
120
..
-9-
43.
Which one of the following is NOT a
statistical diagram?
(A)
(B)
(C)
(D)
44.
Itern 46 refers to the arrow diagram below.
y
x
Bar graph
Pie chart
Frequency polygon
Modal class
A bag contains 2 red, 4 yellow and 6 b Iue
balls. The probability of drawing a blue
ball from the bag at random is
(A)
-1
(B).
1
-
6
46.
The arrow diagram above describes the
relation
3
(A)
xis greater than y
(C)
1
2
(B)
(C)
6
(D)
(D)
-
xisamultipleofy
xisdivisiblebyy
x is a factor ofy
11
Item 47 refers to the figure below.
Item 45 refers to the table below which
shows the frequency ofscores obtained by
students in a test.
Scores
Students
2
8
3
4
5
6
6
3
8
12
~
11
2
B
~
45.
..-
~
The modal score is
~
lo"
~
A
(A)
(B)
(C)
(D)
8
.9
10
12
0
47.
The gradient ofAB in the figure above is
(A)
2
(8)
l
(C)
_l
(D)
-2
2
2
- IO 48.
The arrow diagram below shows a function.
49.
{0,1,8}
{-2,-1,0, 1,2}
{-6,-3, 0, 3, 6}
{-8,-1,0, 1,8}
_(A)
i(B)
y
x
The range off : x --> x 3 for the domain
{-2,-1,0, 1,2} is
~.(C)
(0)
Item 50 refers to the following graph.
y
Which of the following BEST describes
the function?
(A)
(8)'
(C)
(0) ·
f{x) =x+ 3
f{x) = y + 3
x=y+ 3
y=x
x
50.
Ifa, bandcareconstants,theequationof
the graph could be
y = ax 2 + c
y = c - ax 2
y = ax 2 + bx+ c
y = c + bx - ax2
(A)
(B)
(C)
(D)
51.
Which ofthe following represents the graph ofa function?
y
y
y
+
.J+ -
•t-l-+-1-1-1-+· ..•
:- .: '": ~:: _: ::J: : : :_: =~:l ::·:
...............................1- ........ ~ ..... ..
f~- -_,_-t-+-t-+-+-+-t-+-Hr++-1-+-i
-
......,_ ...... _,__ ..,,
,
-'"*'-"-•" .. . ......
H
00•
..
H
............
--
......... - ...... ...
a-,•••
•Oo
t---·.
"'
0
HO
Mo
oO•o
....._ ....,_
MO
..
-·.. -- ..·· .....
............... - ····' ..................... .
~--
II
I
- -.
..
~
.1-+-1~-1..+-1-1--1-
1-.
•
..L...1-. ._. -
'- L.j .............._._.._,
.. . . . . . . . . . ..__._,_,_.......... F~-
·-1- ~ """·
III
IV
I·
(A)
(B)
(C)
I
II
III
(D)
IV
- 11 -
ltem.52 refers to the diagram below of a
construction. With centre A, an arc BC
is drawn. With centre B, and the same
radius, the arc PCQ is drawn.
54.
A ship sails 8 km due east from A to B. lt
then sails 6 km due north to C. Which
diagram below BEST represents the path
oftheship?
c
(A)
Skm
B
'A
52.
A
6km
B
What is the measure of LBAC?
(A)
(U)
(C)
(D)
30°
45°
60°
75°
N
(B)
/1\
I
c
6km
Item 53 refers to the right-angled triangle
below.
A
B
c
Skm
B
N
(C)
lj\
c
A
53.
6km
In the right-angled triangle above, tan 0 is
Skm
A
(A)
5
13
(B)
-125
(C)
(D)
(D)
N
11\
I
I
12
5
13
5
B
8km
B
A
6km
c
I
- 12 Item 57 refers to the diagram below.
55.
.
The image of a point P(-2, 3) under a
y
transl~tion ( !)is
(A)
(B)
(C)
(D)
p'
''
Q'
s
..
4
(-6, 12)
(-5,-1)
3
(5, 1)
(1, 7)
..
2
1
p
Q
Item 56 refers to the diagram below.
-1
B
57.
A
(A)
(;)
(B)
(,_;)
(D)
In the diagram above, AB is parallel to EC.
Calculate LBDE.
(A)
(B)
(C)
(D)
1
2
3
4
s
In the diagram above, the vector that
translatesPQtoP'Q' maybedescribedas
(C)
56.
0
(-J)
(j)
Item 58 refers to the diagram below.
40°
50°
140°
180°
58.
In the diagram above, L.CAB = 35° and
ACisthediarneterofthecircle. AngleADB
is
(A)
(B)
(C)
(D)
59.
55°
45°
35°
65°
A plane is heading in a direction of045°
and changes course in a clockwise direction
to 135°. Theanglethroughwhichtheplane
turns is
(A)
(B)
(C)
(D)
45°
90°
135°
270°
,"' x
_.
- 13 -
60.
In each of the diagrams shown below,A'
is the image ofA. Which ofthe diagrams
shows a reflection in thexaxis?
(A)
y
A
x
A'
(B)
y
A
x
(C)
y
A
x
(D)
y
A'
0
x
P' YOU FINISH BEFORE TIME IS CALLED,
.
. CHECK YOUR WORK ON THIS TEST.
\
.
..
-._
~
...
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