1. Welcome to
The Alice Smith School

2. M S E A C

3. Mathematics Competitions
South East Asia
Mathematics Competitions
Plus...

4. Individual
Competition
Part 1

5. You have 2 minutes to answer each problem
Good Luck
Click when ready...

6. Trial Question I have a cube and a square-based pyramid.
What is the total number of faces, edges and vertices?
A) B) 42 C) 44 D) 46 E) 48
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7. Everything OK?
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8. 1. Simplify (22)7 A) 10242 B) 163842 C) 128 D) 1024 E) 16384 STOP 1
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9. 3. Reflection in the line x = -1
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 B) y = x C) y = -x + 1 D) y = -x E) y = -x - 3
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10. 3. Solution A contains 45% salt. Solution B contains 54% salt.
A and B are mixed in the ratio 2:1.
What is the percentage of salt in the mixture?
A) 99% B) 48% C) 33%
D) 49.5% E) 72%
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11. 4. If a T-shirt is sold for $40, 20% is lost
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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12. What is the largest of the three numbers?
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) B) C) 18
D) E) 14
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13. The area of triangle DOC is 4 square units.
6. ABCD is a square.
The area of triangle DOC is 4 square units.
The perimeter of triangle DOC is: A B C D O
A) B) 8 C) 42
D) 8 + 2 E) 4 + 42
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14. 7. Calculate 2001 - 2000 + 1999 - … + 3 - 2 + 1 A) 999 B) 1000
C) D) 2001
E) none of these
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15. 8. How many different triangles have sides 6, 7 and N, where N is a whole number?
A) B) 13
C) D) 11
E) 12
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16. 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 = B) x = 3, x = -1
C) x = 1, x = D) x = 3, x = 0
E) x = 1, x = -3
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17. 10. Simplify A) 10 B) 15 C) 9 D) 5 E) 2 STOP 1 3 2 5 9 10 8 7 6 4
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18. What is the probability that the ball is not white?
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/ B) 2/ C) 4/11
D) 8/ E) 6/11
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19. 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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20. At what time will the water be 144cm high?
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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21. 14. How many whole numbers are perfect squares with four digits?
A) B) C) 67 D) E) 9801
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22. 15. If A) 7/2 B) 5/2 C)3/2 D) 1/2 E) -1/2 STOP 1 3 2 5 9 10 8 7 6 4
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23. find the value of x + y, where x and y are positive integers.
If 2x.3y = 432,
find the value of x + y, where x and y are positive integers.
A) B) C) 12
D) E) none of these
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24. Find 52 17. ab = a2 - (a - b)2 A) 4 B) 1 C) 74 D) 34 E) 16 STOP 1 4
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25. what is the average of x, y and z? A) (p + q + r)/3 B) (p + q + r)/2
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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26. 19. If f(x) = 5x + 6, then f(x) < 16 if and only if
A) x = B) x < C) x > 2
D) -2 < x < E) 0 < x < 2
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27. Each letter in the subtraction above represents a single digit.
a b c d 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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28. 21. Simplify A) x + 1 B) 3x + 2 C) 2x + 1 . 2x + 1 2x + 1 3x + 2
D) x E) none of these
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29. 22. When two distinct circles and three distinct lines intersect each other, the maximum number of points of intersection is:
A) B) C) 21
D) E) 17
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30. and xy = 7 23. If x2 + y2 = 8 then (x + y)2 = A) 14 B) 16 C) 22
D) E) 49
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31. 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) B) C) 1.40
D) E) 1.51
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32. 25. A square ABCD contains an equilateral triangle ABF.
The size of the angle CFD , in degrees, is
A) B) C) 75
D) E) 180
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33. OK! Time for a
BREAK...