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?
Friday, April 15, 2011
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?
Sunday, March 13, 2011
Math problems for March 15 2011
Problem #1
A camera and case together cost $100. If the camera costs $90 more than the case, how much does the case cost?
Problem #2
Below are three views of the same cube.
What letter is on the face opposite (1) H, (2) X, and (3)Y?
Problem #3
I have exactly ten coins whose total value is $1.
If three of the coins are quarters, what are the remaining coins?
Problem #4
If the digits A, B, and C are added, the sum is the two-digit number AB as shown below.
What is the value of C?
A + B + C = AB
Problem #5
The sum of the weights of Tom and Bill is 138 pounds and one boy is 34 pounds heavier than the other. How much does the heavier boy weigh?
Problem #6
When I open my math book, there are two pages which face me and the product of the two page numbers is 1806.
What are the two page numbers?
Problem #7
In the addition problem below A, B, and C are digits. If C is placed in the tens column instead of the units column as shown at the far right, the sum is 97.
What are the values of A, B, and C?
Problem #8
One loaf of bread and six rolls cost $1.80. At the same prices, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost?
A camera and case together cost $100. If the camera costs $90 more than the case, how much does the case cost?
Problem #2
Below are three views of the same cube.
What letter is on the face opposite (1) H, (2) X, and (3)Y?
Problem #3
I have exactly ten coins whose total value is $1.
If three of the coins are quarters, what are the remaining coins?
Problem #4
If the digits A, B, and C are added, the sum is the two-digit number AB as shown below.
What is the value of C?
A + B + C = AB
Problem #5
The sum of the weights of Tom and Bill is 138 pounds and one boy is 34 pounds heavier than the other. How much does the heavier boy weigh?
Problem #6
When I open my math book, there are two pages which face me and the product of the two page numbers is 1806.
What are the two page numbers?
Problem #7
In the addition problem below A, B, and C are digits. If C is placed in the tens column instead of the units column as shown at the far right, the sum is 97.
What are the values of A, B, and C?
Problem #8
One loaf of bread and six rolls cost $1.80. At the same prices, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost?
Tuesday, March 1, 2011
3rd grade: Optional homework for March 1 2011 class
Problem #1
Julius Caesar wrote the Roman Numerals I, II, III, IV, and V in a certain order from left to right. He wrote I before III but after IV. He wrote II after IV but before I. He wrote V after II but before III. If V was not the third numeral, in what order did Caesar write the five numerals from left to right?
Problem #2
In the multiplication problem below, each blank space represents a missing digit.
Find the product.
Problem #3
Thirteen plums weigh as much as two apples and one pear. Four plums and one apple have the same weight as one pear.
How many plums have the weight of one pear?
Problem #4
During a school year, a student was given an award of 25 cents for each math test he passed and was fined 50 cents for each math test he failed. At the end of the school year, the student had passed 7 times as many tests as he had failed, and received $3.75.
How many tests did he fail?
Julius Caesar wrote the Roman Numerals I, II, III, IV, and V in a certain order from left to right. He wrote I before III but after IV. He wrote II after IV but before I. He wrote V after II but before III. If V was not the third numeral, in what order did Caesar write the five numerals from left to right?
Problem #2
In the multiplication problem below, each blank space represents a missing digit.
Find the product.
Problem #3
Thirteen plums weigh as much as two apples and one pear. Four plums and one apple have the same weight as one pear.
How many plums have the weight of one pear?
Problem #4
During a school year, a student was given an award of 25 cents for each math test he passed and was fined 50 cents for each math test he failed. At the end of the school year, the student had passed 7 times as many tests as he had failed, and received $3.75.
How many tests did he fail?
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