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 There are 25 multiple choice
questions
 You have 2 minutes to finish
each question
 There is no break in this
round
 A trial question will now
follow
Trial Question
(2402 + 2402) x 50 equals
A)120 100
C) 480 400
E) 240 200
B) 240 000
D) 240 300
Get Ready
To Start…
1. Which of the following is an
odd number?
A) 14 + 7
B) 34 + 5
C) 54 + 3
D) 74 + 2
E) 114 + 1
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2. Which of the following
hexominoes is not a possible
net for a cube?
A)
B)
D)
E)
C)
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3. I write out the numbers from 1 up
to thirty in words. If N denotes
the number of times I write the
letter ‘n’, M denotes the number
of times I write the letter ‘m’, and
C denotes the number of times I
write the letter ‘c’, then N + M + C
equals:
A) 31 B) 30 C) 29 D) 28 E) 27
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4. The value of
is:
1 
1 
1 
1

1 2 1 3 1 4 1 5 





1
A)
120
1
B) 1
120
C) 3
1
D) 4
30
17
5
E) 60
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5. What is the probability that the
next person you meet has an
above average (= mean)
number of arms?
A) 0
B) Nearly 0
C) 0.5
D) Nearly 1
E) 1
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6. In this addition, different
letters stand for
different digits, but each
letter represents the
same digit each time it
appears. If the letter O
stands for 7, what digit
must U represent?
A) 1
B) 3
C) 5
D) 7
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TWO
+TWO
FOUR
E) 9
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7. A square peg just fits in a
round hole. What fraction of
the hole is occupied by the
peg?
A)
2
π
B)
C)
2
π-2
D)
π
-1
2
2
1π
E) None of these
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8.
The 12 digits in a credit card
number are to be written in the
boxes below. The sum of any
three consecutive digits is 16.
9
x
4
The value of x is:
A) 3
B) 4
C) 5
D) 6
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E) 7
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9. In the diagram, the
triangle is equilateral.
The ratio of the area
of the inscribed circle
to the area of the
circumscribed circle
is:
A) 1:6
D) 1:3
B) 1:4
E) 1:2
C) 1:2√3
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10. Which of the following integers
has the smallest number of
factors?
A) 26
B) 35
D) 53
E) 62
C) 44
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11. For the simultaneous equations
2x – 3y = 4 and 6y – 4x = 2:
A)
B)
C)
D)
x = 1, y = -2/3
x = 0, y = 0
x = 2, y = 5/3
There are infinitely many
solutions
E) There is no solution
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12. The units digit of an exact
cube:
A) Is never 0
B) Is never 2
C) Is never 3
D) Is never 9
E) Can be any digit 0 - 9
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13. What is the value of

7


6 5 4 3


3


20160
 
A) √3
B) 3
D) 81
E) 243
C) 27
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14. If h hens lay e eggs in d days,
how many days would it take H
hens to lay E eggs?
A)
Hde
Eh
C)
Ehe
Hd
E)
Ehd
He
B)
EHd
he
D)
ehd
EH
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15. On Saturdays I work in Pizza Shack.
Employees get 40% off the price of any
meal. On Monday night, prices are
reduced by 30% for all customers.
And as a special promotion this
month, all prices have been cut by
25%. What is the most I can save
altogether if I go for a meal at Pizza
Shack some time during this month?
A) 95%
D) 40%
B) 68.5%
E) 31.5%
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C) 55%
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16. A sequence begins 1, 3, 4, 7, 11,…,
each term is equal to the sum of the
two previous terms. How many of the
following statements are true?
I The 20th term is divisible by 2
II The 30th term is divisible by 3
III The 40th term is divisible by 4
IV The 50th term is divisible by 5
A) 0
B) 1
C) 2
D) 3
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E) 4
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17. An n by n by n cube is constructed
from n3 unit cubes glued together,
and the large cube is suspended in
space. If I walk around the cube
with one eye closed, what is the
largest number of unit cubes I
would ever be able to see at one
time?
A) 3n2 – 3n + 1 B) 3n2 – 3n C) 3n2 – 1
D) 3n2
E) 3n2 – 9n +1
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18. A metal rod AB hangs vertically
from a hinge at A, so that the end B
just touches the horizontal ground
2 m from a vertical wall. While A
stays fixed, the lower end B is
pushed to one side until it touches
the wall, 2 cm above the ground.
How long is the rod (in m)?
A) 100
B) √3.9204
D) 2
E) 100.005
C) 100.01
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19. An equilateral triangle is initially
completely black. First the middle
quarter is painted white. Then the
middle quarter of each of the three
remaining black triangles is painted
white and so on. What fraction of
the triangle ultimately remains
black?
A) 0 B) 1/4 C) 1/3 D) 1/2 E) 9/13
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20. In 1990, the Australian
Government decided that
Australia would plant one billion
(i.e. one thousand million) trees
in the following decade. If one
billion trees were planted during
the 10 years, on average, how
many were planted per second?
A) 0.03 B) 0.3 C) 3 D) 30 E) 300
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21. Forty years ago Mike
McNamara cycled 445.0 km in
12 hours. In the same time
trial Beryl Burton completed
446.2 km. How much faster
was Beryl’s average speed
than Mike’s (in metres per
hour)?
A) 1.2 B) 10 C) 11 D) 100 E) 1200
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22. What is the area
of the triangle
shown here?
20
A) 20 B) 20 + 3x
C) 80 D) 20x
x
2x
E) It depends on x
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23. Rectangle ABCD
is made up of 6
squares. The
areas of two of
the squares are
shown. The
perimeter of
rectangle ABCD
in cm is:
A) 44 B) 46 C) 48 D) 50 E) 52
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24. The graph of x2 – y2 = 0 is:
A) a straight line
B) a parabola
C) a circle
D) a single point
E) two straight lines
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25. If x  y  1 and x  y  3 what

is the value of 2
x2  y2
A) 2
B) 4
C) 8
D) 16
?
E) 32
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