1.
3 POINTS FOR EACH PROBLEM
During a summer math camp in the city of Zakopane in Poland, a trip to Mount Giewont takesplace. It takes 3 hours to get to the top of the mountain. A halfan hour stay takes place on top ofthe mountain. Afterwards, it takes two and a half hours to come down the mountain. What timein the morning at the latest does the trip need to start so thateverybody is back at the camp forlunch at 3 P.M.?
2.
What is the value of this expression: 2·0·0·6 + 2006? (·means multiplication.)
3.
How many cubes have been removed from the first block to obtain the second one?
4.
Katie’s birthday was yesterday. It is Thursday tomorrow. What day was Katie’s birthday?
5.
John plays Darts. All darts he gets back and for each time he hits the bullseye, he gains twoadditional darts. At the beginning he has 10 darts and at the end 20. How many times did he hit the bullseye?
6.
A kangaroo enters the building asshown in the picture. He only passes through triangular rooms. Where does he leave the building?
7.
Four people can sit at a square table. For the school party the students put together 7 squaretables in order to make one long rectangular table. How many people can sit at this long table now?
8.
In his wallet, Stanly has one 5-dollar bill, one 2-dollar bill, and one 1-dollar bill. Which of the following amounts can Stan not make out of the bills that he has?
9.
4 POINTS FOR EACH PROBLEM
On one side of Long Street the houses are numbered with the consecutive odd numbers from 1to 19. On the other side of that street, the houses are numbered with the consecutive even numbersfrom 2 to 14. How many houses are there on Long Street?
11.
The picture below shows bus routes and ticket pricesbetween 6 towns. What is the least amount of money to pay for the tickets to get from town A to town B?
12.
What is the least number we can get arrang-ing six cards in one row, one after another, with numbers shown in the picture?
13.
Six weights, weighing 1 pound, 2 pounds, 3 pounds, 4 pounds, 5pounds and 6 pounds wereplaced into three boxes – two weights in each box. The weightsin the first box weigh 9 poundstogether, and those in the second box weigh 8 pounds. Which weights are in the third box?
14.
Between two points four routes are drawn. Which route is the shortest?
E: All are equal
15.
Numbers are written on a ”number flower”. Mary pulled out all thepetals with numbers which give remainder 2 when divided by 6.What is the sum of the numbers on the petals that Mary pulled out?
17.
5 POINTS FOR EACH PROBLEM1
Four crows are sitting on the fence. Their names are Dana, Hanna, Lena and Bennie. Danasits exactly in the middle between Hanna and Lena. The distance between Hanna and Dana is thesame as the distance between Lena and Bennie. Dana sits 4 feetaway from Bennie. How far isHanna sitting from Bennie?
18.
Johnny builds a house made out of cards. In the picture, one-floor, two-floor, and three-floor such houses are shown. How many cards does Johnny need to build 4-floor house?
19.
The structure shown in the picture is made by gluing togethersidesof 10 cubes. Roman painted the entire structure, including the bottom.How many faces of the cubes did he paint?
20.
Irena, Ann, Kate, Olga and Elena live in the same two-floor house. Two of the girls live onthe first floor; three of them live on the second floor. Olga lives on a different floor than Kate andElena. Ann lives on a different floor than Irena and Kate. Who lives on the first floor?
21.
In the expression 2002
2003
2004
2005
2006 instead of eacha ”+” or ”−”can be written. Which result is impossible?
22.
One year in March, there were 5 Mondays. Which day of the week below could not appear in this month also five times?
23.
In each of the nine cells of the square, write down one of the digits 1, 2or 3. Do this in such a way that in each horizontal row and in each verticalcolumn each of the digits 1, 2 and 3 will be written. If you start with 1 in the upper left cell, in how many different ways can the square be filled?
24.
The weights in the figure are in balance.The same shapes have the same weight. Theweight of each circular shape is 30 ounces.What is the weight of the square shape indicated with the question mark?
