Monday, April 25, 2011

Math problems for April 26 2011

Problem #1


Person A was born on January 15, 1948.
Person B was born on January 15, 1962.
If both are alive now, in what year was person A twice as old as person B?



Problem #2
A square piece of paper is folded in half as shown and then cut into two rectangles along the fold (two rectangles are equal). The perimeter of each of the two rectangles is 18 inches. What is the perimeter of the original square?



Problem #3


My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?



Problem #4


The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. How many tricycles were offered in the sale?



Problem #5


Six people participated in a checker tournament. Each participant played exactly three games with each of the other participants. How many games were played in all?



Problem #6


A jar filled with water weighs 10 pounds. When one-half of the water is pored out, the jar and remaining water weighs five and three quarters pounds. How much does the jar weigh?


Problem #7


The average of five numbers is 18. Let the first number be increased by 1, the second number by 2, the third number by 3, the fourth number by 4, and the fifth number by 5. What is the average of the set of increased numbers?

Thursday, April 21, 2011

Math Olympiad test 1

Friday, April 15, 2011

Math problems for April 29 2011

Problem #1

The average of five numbers is 18. Let the first number be increased by 1, the second number by 2, the third number by 3, tho fourth number by 4, and the fifth by 5. what is the average of the set of increased numbers?

Monday, April 11, 2011

Math problems for April 12 2011

Problem #1
Suppose two days ago was Sunday. What day of the week will 365 days from today then be?
Problem #2
What should the starting number be in that diagram?

Problem #3
A rectangulat tile is 2 inches by 3 inches. What is the least number of tiles that are needed to completely cover a square region 2 feet on each side?
Problem #4
Six arrows land on target shown here. Each arrow is in one of the regions of the target. Which of the following total scores is possible? 16, 19, 26, 31, 41, 44?

Problem #5
A total of 350 pounds of cheese is packaged into boxes each containing 1 3/4 pounds of cheese. Each box is then sold for $1.75. What is the total selling price of all of the boxes of cheese?
Problem #6
A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least amount of minutes it must take for all three to be together again.
Problem #7
$1200 is divided among four brothers so that each gets $100 more than the brother who is his next younger brother. How much does the youngest brother gets?

Monday, April 4, 2011

Math problems for April 4 2011

Problem#1

A train is moving at the rate of 1 mile in 1 minute and 20 seconds. If the train continues at this rate, how far will it travel in one hour?

Problem #2
Six dollars were exchanged for nickels and dimes. The number of nickels was the same as the number of dimes. How many nickels were there in the change?
Problem #3
In the multiplication example below, A, B, and H are different digits. What is the sum of A, B, and H?

Problem #4
If a number is divided by 3 and 5, the remainder is 1. If it is divided by 7, there is no reminder. What number between 1 and 100 satisfies the above condition?
Problem #5
Mrs. Winthorp went to a store , spent half of her money and then $10 more. She went to a second store, spent half of her remaining money and then $10 more. But she then had no money left. How much money did she have to begin with when she went to the first store.
Problem #6
Alice and Betty each wants to buy the same kind of ruler. But Alice is 22 cents short and Betty is 3 cents short. When they combine their money, they still do not have enough money. What is the most the ruler can cost?