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Bali Math Competition 2010 Team Round Rules • Count Down will start when you have 3 minutes left *Click to go to Next * 3 minutes (Q1) 75% of a number is 21. What is that number? *Click to go to Next 3 minutes (Q2) A number is added by 2 and divided by 2 what is the number if the result is 2. *Click to go to Next 3 minutes (Q3) When the sequence above is simplified, it equals to: *Click to go to Next 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: *Click to go to Next 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? *Click to go to Next 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 *Click to go to Next 4 minutes (Q7) Jerry has a block of cheese with surface areas of 30, 40 and 48. What is the volume of the cheese? *Click to go to Next 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? *Click to go to Next 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? *Click to go to Next 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? *Click to go to Next 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? *Click to go to Next 4 minutes (Q12) How many digits does (211)(511) have when it is expanded? *Click to go to Next 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? *Click to go to Next 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? *Click to go to Next 4 minutes (Q15) The ratio of the area of the smaller circle to the larger is: *Click to go to Next YOU ARE DONE! Give yourselves a pat on the back!