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?
Monday, April 25, 2011
Thursday, April 21, 2011
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?
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?
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?
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?
Monday, March 28, 2011
Math problems for March 29 2011
Problem #1 Arrange the digits 1, 1, 2, 2, 3, 3, as a six-digit number in which the 1s are separated by one digit, the 2s are separated by two digits, and the 3s are separated by three digits. Problem #2 Each of the boxes in the figure below is a square. Using the lines of the figure, how many different squares can be traced?
Problem #4 The perimeter of a rectangle is 20 feet and the foot-measure of each side is a whole number. How many rectangles with different shapes satisfy these conditions?
Problem #3
In a math contest of 10 problems, 5 points was given for each correct answer and 2 points was deducted for each incorrect answer.If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have?
Problem #4 The perimeter of a rectangle is 20 feet and the foot-measure of each side is a whole number. How many rectangles with different shapes satisfy these conditions?
Problem #5
When Anne, Betty, and Cynthia compared the amount of money each had, they discovered that Anne and Betty together had $12, Betty and Cynthia together had $18, and Anne and Cinthia together had $10.
Who had the least amount of money, and how much was it?
Problem #6 Three water pipes are used to fill a swimming pool. The first pipe alone takes 8 hours to fill the pool, the second pipe alone takes 12 hours to fill the pool, and the third pipe alone takes 24 hours to fill the pool. If all three pipes are open at the same time, how long will it take to fill the pool?Monday, March 21, 2011
Math problems for March 19 2011
Problem #1
A dollar was changed into 16 coins consisting of just nickels and dimes.
How many coins of each kind were in the change?
Problem #2
In the multiplication problem below, different letters stand for different digits, and ABC and DBC each represent a three-digit number.
What does DBC represent?
Problem #3
The product of two numbers is 144 and their difference is 10.
What is the sum of the two numbers?
Problem #4
If I start with 2 and count by 3s until I reach 449, I will get: 2, 5, 8,11, ...,449 where 2 is the first number, 5 is the second number and so forth. If 449 is Nth number, what is the value of N?
Problem #5
A man drives from his home at 30 miles per hour to the shopping center which is 20 miles from his home. On the return trip he encounters heavy traffic and averages 12 miles per hour. How much time does the man take to drive to and from the shopping center.
Problem #6
The XYZ club collected a total of $1.21 from its members with each member contributing the same amount. If each member paid for his or her share with 3 coins, how many nickels were contributed?
A dollar was changed into 16 coins consisting of just nickels and dimes.
How many coins of each kind were in the change?
Problem #2
In the multiplication problem below, different letters stand for different digits, and ABC and DBC each represent a three-digit number.
What does DBC represent?
Problem #3
The product of two numbers is 144 and their difference is 10.
What is the sum of the two numbers?
Problem #4
If I start with 2 and count by 3s until I reach 449, I will get: 2, 5, 8,11, ...,449 where 2 is the first number, 5 is the second number and so forth. If 449 is Nth number, what is the value of N?
Problem #5
A man drives from his home at 30 miles per hour to the shopping center which is 20 miles from his home. On the return trip he encounters heavy traffic and averages 12 miles per hour. How much time does the man take to drive to and from the shopping center.
Problem #6
The XYZ club collected a total of $1.21 from its members with each member contributing the same amount. If each member paid for his or her share with 3 coins, how many nickels were contributed?
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