Welcome to

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Welcome to
The Alice Smith School
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M
S
E
A
C
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South East Asia
Mathematics Competitions
Plus...
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Individual Competition Part 1
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You have 2 minutes to answer each problem
Good Luck
Click when ready...
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Trial Question
I have a cube and a square-based pyramid. What
is the total number of faces, edges and vertices?
A) 40 B) 42 C) 44 D) 46 E) 48
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Everything OK?
Click when ready...
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1. Simplify (2?2)7 A) 1024?2 B) 16384?2 C)
128 D) 1024 E) 16384
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2. The line y x 1 undergoes the following
transformations 1. Reflection in the x-axis,
then 2. Rotation of 90º about (0,0), then...
3. Reflection in the line x -1 The final
image line is A) y x - 1 B) y x 3
C) y -x 1 D) y -x - 1 E) y -x - 3
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3. Solution A contains 45 salt. Solution B
contains 54 salt. A and B are mixed in the
ratio 21. What is the percentage of salt in the
mixture? A) 99 B) 48 C) 33 D)
49.5 E) 72
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4. If a T-shirt is sold for 40, 20 is lost.
What is the percentage gain or loss if it is sold
for 45? A) loss of 5 B) gain of 5 C)
gain of 10 D) loss of 10 E) no gain or loss
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5. Three whole numbers, when added two at a
time, give sums of 39, 48 and 51. What is the
largest of the three numbers? A) 21
B) 30 C) 18 D) 28 E) 14
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6. ABCD is a square. The area of triangle DOC is
4 square units. The perimeter of triangle DOC is
A) 8 B) 8?2 C) 4?2
D) 8 2?2 E) 4 4?2
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7. Calculate 2001 - 2000 1999 - 3 - 2
1 A) 999 B) 1000 C) 1001
D) 2001 E) none of these
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8. How many different triangles have sides 6, 7
and N, where N is a whole number? A) 9
B) 13 C) 10 D)
11 E) 12
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9. Given that y is 3 times the sum of twice x
plus the square of x, what values of x will make
y 9? A) x 3, x -3 B) x 3, x -1
C) x 1, x 0 D) x 3, x 0 E) x 1,
x -3
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10. Simplify
A) 10 B) 15 C) 9 D) 5 E) 2
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11. I pick a ball at random from a bag
containing 5 white, 2 blue, 1 red and 3 green
balls. What is the probability that the ball is
not white? A) 5/11 B) 2/11 C)
4/11 D) 8/121 E) 6/11
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12. The mean height of the boys in class T1 was
162cm. When Tom, who is 165cm tall, joined the
class, the new mean became 162.2cm. How many boys
are now in T1? A) 11 B) 12 C) 13 D) 14 E)
15
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h (cm)
13. The graph shows the change in height, h, of
the water level in a pool against time. At what
time will the water be 144cm high?
200 179
0 3
time (min)
A) 4 min B) 5 min C) 8 min D) 10 min
E) 12 min
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14. How many whole numbers are perfect squares
with four digits? A) 32 B) 99
C) 67 D) 68 E) 9801
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15. If
A) 7/2 B) 5/2
C)3/2 D) 1/2 E) -1/2
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16. If 2x.3y 432, find the value of x
y, where x and y are positive integers. A) 3
B) 7 C) 12 D) 72
E) none of these
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17. a?b a2 - (a - b)2 Find 5?2 A) 4
B) 1 C) 74 D) 34
E) 16
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18. If p is the average of x and y, q is the
average of y and z, and r is the average of
x and z, then what is the average of x, y and
z? A) (p q r)/3 B) (p q r)/2 C) 2(p
q r)/3 D) p q r E) 3(p q r)/2
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19. If f(x) 5x 6, then f(x) lt 16 if and
only if A) x 2 B) x lt 2 C) x
gt 2 D) -2 lt x lt 2 E) 0 lt x lt 2
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20. 7 a b c

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- d 1 2 8
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c d 6 5 Each letter in the
subtraction above represents a single digit. The
letters in order a, b, c, d are A) 4,9,3,6
B) 3,4,9,5 C) 4,3,9,5 D) 4,9,3,5 E)
5,9,3,4
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21. Simplify A) x 1 B) 3x 2
C) 2x 1 . 2x
1 2x 1 3x 2
D) x 2 E) none of these
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22. When two distinct circles and three distinct
lines intersect each other, the maximum number of
points of intersection is A) 14
B) 15 C) 21 D) 19
E) 17
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23. If x2 y2 8 and xy 7 then
(x y)2 A) 14 B) 16
C) 22 D) 30 E) 49
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24. If a watch is set at 2pm and loses
minutes every two hours, what will it read, on
the following day, when it is actually 2pm? A)
1.30 B) 1.36 C) 1.40 D)
1.42 E) 1.51
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25. A square ABCD contains an equilateral
triangle ABF. The size of the angle CFD , in
degrees, is A) 120 B) 150
C) 75 D) 90 E) 180
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OK! Time for a BREAK...