Download Individual Part 2

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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
Get Ready
To Start…
26. How many three-digit positive
integers are perfect squares?
A) 23
B) 22
C) 21
D) 20
E) 19
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27. Paul gives half of his marbles
to his best friend and then a
third of those remaining to his
sister. If his sister receives 9
marbles then the number Paul
keeps is:
A) 9
D) 36
B) 18
E) 54
You now have 30 seconds left
C) 27
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28. Rectangle ABCD is A
divided into 5
congruent
rectangles as
shown. The ratio D
AB:BC is:
A) 2:1
D) 5:2
B) 3:2
E) 5:3
You now have 30 seconds left
B
C
C) 4:3
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29. James wrote four tests with a
maximum score of 100 in each
one. The average mark (mean)
he obtained on these tests was
88. What is the lowest score
he could have achieved on one
of these tests?
A) 0 B) 22 C) 50 D) 52 E) 88
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30. The number of solutions (x, y)
of the equation 3x + y = 100,
where x and y are positive
integers, is
A) 33
D) 100
B) 34
E) 101
You now have 30 seconds left
C) 97
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31. On a circle, ten
points A1, A2,…,
A10 are equally
spaced. If C is
the centre of the
circle, what is the size, in
degrees, of the angle A1A5C?
A) 10 B) 18 C) 36 D) 72 E) 144
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32. How many square numbers
between 1 and 1001 are
divisible by 2?
A) 15
B) 16
D) 32
E) 500
C) 30
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33. In the diagram, AC = AB
and CX = XY = YB.
Which of the following
statements is true?
A
C
X
Y
B
A)
None of the statements B, C, D, E is
correct
B) AC  AX  AY  AB
C) CAX  XAY  YAB
D) p(CAX )  p( XAY )  p( AYB ), where p stands
for perimeter
E) area(CAX )  area( XAY )  area(YAB )
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34. Which of the following five
numbers shares a common
factor (>1) with exactly one of
the other four numbers?
A) 91
D) 35
B) 52
E) 24
You now have 30 seconds left
C) 39
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35. I have 64 candle stubs. I can
make one full new candle using
the wax from 4 stubs. A full
candle burns for one hour and
then goes out, leaving a stub. If
I only light full candles, what is
the maximum number of hours I
can have candlelight?
A) 16 B) 20 C) 21 D) 64 E) 80
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36. How many different
triangles can be made from
five rods of length 2, 3, 4, 5
and 6 cm if they are taken
three at a time?
A) 6
D) 20
B) 7
E) 60
You now have 30 seconds left
C) 10
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37. Three days ago, yesterday was
the day before Sunday. What
day will it be tomorrow?
A) Monday
B) Tuesday
C) Wednesday D) Thursday
E) Friday
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38. ABCD is a square, and P is a
point inside the square such
that triangle ADP is equilateral.
How big is angle PBC?
A) 15o
D) 30o
B) 20o
E) 75o
You now have 30 seconds left
C) 25o
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39. I have an unlimited number of
$1, $2, $3, $4 and $5 stamps.
How many different
combinations of stamps are
there which total $6?
A) 12 B) 10 C) 9 D) 8 E) 6
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40. 434 is a palindromic number,
reading the same from right to
left as from left to right. The
number of palindromic
numbers between 100 and
1000 is:
A) 64
D) 100
B) 81
C) 90
E) None of these
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41. Huggy the slug crawls d
centimetres in t minutes. How
many hours would it take her
to cover a distance of d
metres?
t
A)
100
t
B)
60
3t
D) 5
E) 100t
You now have 30 seconds left
5t
C)
3
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42. How many real numbers have
the property that the sum of x
and the reciprocal of x2 is
equal to the sum of x2 and the
reciprocal of x?
A) 0 B) 1 C) 2 D) 3 E) 4
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43. How many different order
arrangements can be made
using all seven letters of the
word “ORDERED” each time?
A) 24
D) 630
B) 56
E) 5040
You now have 30 seconds left
C) 315
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44. √8 + √18 equals:
A) √19
B) √20
C) √26
D) √28
E) √50
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45. I have ten cards numbered 0, 1,
2,…, 9. How many different
ways are there to select three
different cards whose numbers
total 18?
A) 6 B) 7 C) 8 D) 9 E) 10
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46. The area of the small
square is one-third of
the area of the large
square. What is the
x
value of ?
A)
y
1
3 1
D) √3
1
B) 3
y
x
1
C) 3
E) √3 – 1
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47. Which gives the biggest
answer?
A) 16 x 24
B) 17 x 23
C) 18 x 22
D) 19 x 21
E) 20 x 20
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48. A cube has surface area
216 cm2. What is its volume (in
cm3)?
A) 6
D) 162√6
B) 36
E) 216
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C) 125
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49. How many prime numbers
between 10 and 99 remain
prime when their digits are
reversed?
A) 9
D) 12
B) 10
E) 13
You now have 30 seconds left
C) 11
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50. A drawer contains seven red
socks, seven blue socks and
seven white socks. Socks are
selected one at a time at
random. How many socks
must be selected to be sure of
getting at least two pairs of the
same colour?
A) 4 B) 7 C) 9 D) 10 E) 12
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