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Bali Math Competition 2010
Team Round
Rules
• Count Down will start when you have 3
minutes left
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3 minutes
(Q1) 75% of a number is 21. What is that
number?
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3 minutes
(Q2) A number is added by 2 and divided by 2
what is the number if the result is 2.
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3 minutes
(Q3) When the sequence above is simplified, it
equals to:
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5 minutes
(Q4) A, B, C and D are 4 different single digit
numbers
A+C =D
AXB=C
C–B=B
AX4=D
When you add up all four numbers A + B + C + D
the result is:
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4 mintues
(Q5) Jimmy is thinking of 2 numbers that are less
than 100. When he divides them by 2,4 or 5, it
leaves a remainder of 1. If you divide them by
3, there is no remainder. Who are they?
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4 minutes
(Q6) A pizza restaurant provides 3 different toppings; cheese, ham and
mushroom. All pizzas ordered has to at least have one topping. On a
particular day, the chef made:
23 pizzas with cheese
31 pizzas with ham
32 pizzas with mushroom
8 pizzas with both cheese and ham
12 pizzas with both cheese and mushroom
19 pizzas with both ham and mushroom
The maximum number of pizza that has all 3 toppings is
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4 minutes
(Q7) Jerry has a block of cheese with surface
areas of 30, 40 and 48. What is the volume of
the cheese?
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3 minutes
(Q 8)
123432N234321 is a 13 digit number
that is divisible by 3, what is the product of all
possible values of N?
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3 minutes
(Q9) I decided to buy table wares everyday for
the whole year
I buy it in the order of :
spoons, forks, knives, plates, bowls, cups,
spoon, fork, knives, etc.
If I started with Fork on the 1st day, what do I
buy on the 92nd Day?
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5 minutes
(Q10)
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
What is the average of x, y and z?
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5 minutes
(Q 11) Mr Edward O. Thorp throws 2 normal 6sided dice. What is the probability that the
sum of the 2 numbers he got from the dices is
7?
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4 minutes
(Q12) How many digits does (211)(511) have
when it is expanded?
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6 minutes
(Q13) By 13:00, a group of presidents attended a
party. By 14:00, a third of them left. By 15:00 a
third of those remaining went out to get some
fresh air. By 16:00, a third of those remaining
again left the party, leaving only 8 presidents
at the party. How many presidents were there
originally?
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6 minutes
(14) Mr. Mario is leading a group of 10 kids to a
party. He gives them either a red or a green
hat. He will give them a red balloon to a kid if
he can see 4 or more red hats. Given that a kid
cannot see his/her own hat and that SOME
red balloons are given, how many red hats are
there?
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4 minutes
(Q15) The ratio of
the area of the
smaller circle to
the larger is:
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YOU ARE DONE!
Give yourselves a pat on the back!