Math Problems:
11/28/2012
Problem 1
Each row of *s has two more *s than the row immediately above it, as shown. How many *s are contained in row #20?
*
***
*****
*******
Problem 2
Roni starts with the number 5 and counts by 8s. This results in the sequence:
5, 13, 21, 29, 37, and so on. What is the fifteenth number in the sequence?
Problem 3
In the USA, the symbol 5/2 means the 5th month, 2nd day, or May 2. But in England, 5/2 means the fifth day, 2nd month, or February 5. How many days of the year each have the same symbol in both the USA and England?
Problem 4
The length of the room is 20 ft. The snail moves from one side of the room to another. During the day the snail moves 2 ft towards the end of the room, but during the night the snail moves back 1 ft. In how many days will the snail reach the end of the room?
Problem 5
Two tourists were making sandwiches. Third tourist came, and the first two tourists gave him something to eat: the first gave him 3 sandwiches, and the second 2 sandwiches. The third tourist paid them $10. How do the first two tourists need to divide money among themselves?
Problem 6
Here is the sequence: 2, 20, 40, 400, 800. Continue the sequence.
Problem 7
Interesting square
Imagine the square 3 x 3 (9 cells all together). Put numbers from 1 to 9 in such a way that one number should be in one cell, a number is not repeated, sum of the numbers that reside on the same level horizontally, vertically, and diagonally is the same.
Imagine the square 3 x 3 (9 cells all together). Put numbers from 1 to 9 in such a way that one number should be in one cell, a number is not repeated, sum of the numbers that reside on the same level horizontally, vertically, and diagonally is the same.
Problem 8
Cleaning windows
6 workers clean 6 windows within 6 minutes. What is the minimal number of workers needed to clean 100 windows within 100 minutes?
Problem 9
Treasure hunters
2 treasure hunters found treasure. They don't have any means to measure that. How to divide the treasure between those two treasure hunters in most fair fashion?
Problem 10
September 1 2001 was Saturday. What day of the week was October 1 2001?
Problem 11
There is a 10 stories building. The entrance to the building is on the first floor. 1 person lives on the first floor, 2 people on the second, ..., 10 people live on the 10th floor.
Where (on what floor) does the elevator stop more?
Problem 12
We know that February 1 1996 was Thursday. What day of the week was March 1 1996?
Problem 13
There are 15 cats, 8 of them are black and 8 of them like to eat salmon. How many cats are black and like to eat salmon?
Problem 14
The gnome separated his treasure into 3 different chests, each different color, each standing by the wall. One chest had precious stones, one chest had gold coins, and one chest had magic books. He remembers that red chest is to the right of the one with the stone. And books are to the right of the red chest. What chest contains books, if green chest is to the left of the blue chest?
Problem 15
There are 17 trucks and cars in the garage. Trucks have 6 wheels and cars have 4 wheels. How many of each type are in the garage if the total number of wheels is 82?
