Problem #1
Calculate 2004 - 2003 + 2002 - 2001 + 2000 - 1999 + ... + 2 - 1
Problem # 2
To print page numbers in a book we need 204 digits. How many pages in this book if we start with page 1?
Problem #3
In the appartments A, B, and C there are 3 cats: white, black and red. In appartments A and B there is not black cat. White cat is not in appartment A? Where is each cat?
Problem # 4
Cut rectangular in 3 triangulars in a such way so that only one of them has right angle.
Problem #5
From the number 12345678910111213…5657585960 cut 100 digits so the resulting number is largest one.
Problem #6
There are two sand watches: for 3 and 7 minutes. An egg can be boiled within 11 minutes. How to measure it using these sand watches?
Thursday, May 17, 2012
Thursday, April 26, 2012
Math problems for April 27 2012
Problem #1
Perimeter of the square is 12 sq. feet. What is the area if this square?
Problem #2
Anna walked 2 km for 31 minutes. Jane walked 2 km for 1 hour. Who has the higher speed and why?
Problem #3
In the following equation place parenthesis and arithmetic operators.
7_7_7_7 = 8
Problem #4
There are 4 kids in the family. We know that they are 5, 8, 13, and 15 years old. Their names are Kate, Jack, Wendy, and Melissa. One girl goes to nursery school. Kate is older than Jack. If you add ages for Kate and Wendy then the result is divisible by 3. How old are they?
Problem #5
How to get '2' using three '5's?
Problem #6
3 girls (Jane, Lynn, and Sonya) started eating candies. Jane and Lynn ate 11 candies. Jane and Sonya - 14, Lynn and Sonya - 15. How many candies all these girls ate?
Problem #7
How many minutes in 7/10 of an hour?
Perimeter of the square is 12 sq. feet. What is the area if this square?
Problem #2
Anna walked 2 km for 31 minutes. Jane walked 2 km for 1 hour. Who has the higher speed and why?
Problem #3
In the following equation place parenthesis and arithmetic operators.
7_7_7_7 = 8
Problem #4
There are 4 kids in the family. We know that they are 5, 8, 13, and 15 years old. Their names are Kate, Jack, Wendy, and Melissa. One girl goes to nursery school. Kate is older than Jack. If you add ages for Kate and Wendy then the result is divisible by 3. How old are they?
Problem #5
How to get '2' using three '5's?
Problem #6
3 girls (Jane, Lynn, and Sonya) started eating candies. Jane and Lynn ate 11 candies. Jane and Sonya - 14, Lynn and Sonya - 15. How many candies all these girls ate?
Problem #7
How many minutes in 7/10 of an hour?
Tuesday, April 10, 2012
Math problems for Apr. 13 2012
Problem #1
What is larger? Half of the half of 20 OR quarter of quarter of 80?
Problem #2
The length of the fence is 20 meters. How many poles in this fence if the distance between poles is 2 meters? Poles are in the beginning and the end of the fence.
Problem #3
There is a cave where you can find treasure. This cave has a door. To open this door you need to enter secret code.
_ _ / _ = _ - _ = _ + _ = _ x _
Secret code consists of 9 different digits (1,2,3,4,5,6,7,8,9) instead of each _ , each digit should not be repeated. What is the secret code?
Problem #4
A school received 300 lbs of vegetables (potatoes, carrots, onions). There are 230 lbs of potatoes and carrots. There are 200 lbs of potatoes and onions. How much potatoes, carrots, and onions separately?
Problem #5
Joe drove 160 miles with the speed of 80 miles per hour. He stopped several times. How much time did Joe spend in this trip if all stops took 25 minutes?
Problem #6
A chair and a table cost $250. 4 chairs and 3 tables cost $887. What are the prices of a chair and a table separately?
Problem #7
What is A? 9A/1A = A
What is larger? Half of the half of 20 OR quarter of quarter of 80?
Problem #2
The length of the fence is 20 meters. How many poles in this fence if the distance between poles is 2 meters? Poles are in the beginning and the end of the fence.
Problem #3
There is a cave where you can find treasure. This cave has a door. To open this door you need to enter secret code.
_ _ / _ = _ - _ = _ + _ = _ x _
Secret code consists of 9 different digits (1,2,3,4,5,6,7,8,9) instead of each _ , each digit should not be repeated. What is the secret code?
Problem #4
A school received 300 lbs of vegetables (potatoes, carrots, onions). There are 230 lbs of potatoes and carrots. There are 200 lbs of potatoes and onions. How much potatoes, carrots, and onions separately?
Problem #5
Joe drove 160 miles with the speed of 80 miles per hour. He stopped several times. How much time did Joe spend in this trip if all stops took 25 minutes?
Problem #6
A chair and a table cost $250. 4 chairs and 3 tables cost $887. What are the prices of a chair and a table separately?
Problem #7
What is A? 9A/1A = A
Wednesday, March 7, 2012
Math Problems Feb. 9 2012
Problem #1 - 2/3/3A
N is a number such that
1 x 2 x 3 x 4 x 5 x 6 x 7 = 8 x 9 x N
What is the value of N?
Problem #2 - 2/3/3B
What number between 121 and 149 is exactly divisible by both 3 and 5?
Problem #3 - 2/3/3C
Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she gone?
(The number of minutes in your answer must be less than 60)
Problem #4 - 2/3/3D
The area of a square is 36 square centimeters. A rectangle has the same perimteter as the square. The length of the rectangle is twice its width. What is the area of the rectangle is square cm?
Problem #5 - 2/4/4E
Maria writes the same whole number instead of '?' below and gets a true statement. Jon doeas the same as Maria and also gets a true statement. But Jon and Maria choose diferent numbers. What two numbers do they choose?
12 + ( ? x ? ) - ( 7 x ? ) = 0
Problem #6 - 2/5/5E
Alexandra gives 1/2 of her marbles to Tyler, who gives 2/3 of what he receives to Jan, who gives 3/4 of what she receives to Jerry. If each has a counting number of marbles, what is the fewest numbers of marbles that Alexandra could have started with?
N is a number such that
1 x 2 x 3 x 4 x 5 x 6 x 7 = 8 x 9 x N
What is the value of N?
Problem #2 - 2/3/3B
What number between 121 and 149 is exactly divisible by both 3 and 5?
Problem #3 - 2/3/3C
Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she gone?
(The number of minutes in your answer must be less than 60)
Problem #4 - 2/3/3D
The area of a square is 36 square centimeters. A rectangle has the same perimteter as the square. The length of the rectangle is twice its width. What is the area of the rectangle is square cm?
Problem #5 - 2/4/4E
Maria writes the same whole number instead of '?' below and gets a true statement. Jon doeas the same as Maria and also gets a true statement. But Jon and Maria choose diferent numbers. What two numbers do they choose?
12 + ( ? x ? ) - ( 7 x ? ) = 0
Problem #6 - 2/5/5E
Alexandra gives 1/2 of her marbles to Tyler, who gives 2/3 of what he receives to Jan, who gives 3/4 of what she receives to Jerry. If each has a counting number of marbles, what is the fewest numbers of marbles that Alexandra could have started with?
Wednesday, January 25, 2012
Math problems for January 26 2012
Problem #1
What is the value of the whole number N, if
N = 1/2 of 2/3 of 3/4 of 4/5 of 100?
Problem #2
Ana divides the number N by 8 correctly and gets .25 as her answer. Barney multiplies the same number N by 8. What answer should he get?
Problem #3
At a special sale, all shirts sell at one price and all caps sell at another price. Kathy pays $30 for 3 shirts and 2 caps. Marc pays $23 for 1 shirt and 5 caps. For how many dollars does each shirt sell?
Problem #4
At the Math Store each circle costs one amount and each square costs another amount. Five circles plus one square cost 20 cents. Two circles plus three squares cost 21 cents. At these prices, how many cents does twelve circles plus five squares cost?
Problem #5
Every person in a room shakes hands with each other person in the room exactly once. There are total of 15 handshakes. How many people are in the room?
Problem #6
Each row of *s has two more *s than the row immediately above it, as shown. Altogether, how many *s are contained in the first twenty rows?
*
***
*****
*******
Problem #7
Maria writes the same whole number instead of ? and get a true statement. Jon does the same as Maria and also gets a true statementon and Maria choose different numbers. What two numbers do they choose?
12 + (? x ?) - (7 x ?) = 0
What is the value of the whole number N, if
N = 1/2 of 2/3 of 3/4 of 4/5 of 100?
Problem #2
Ana divides the number N by 8 correctly and gets .25 as her answer. Barney multiplies the same number N by 8. What answer should he get?
Problem #3
At a special sale, all shirts sell at one price and all caps sell at another price. Kathy pays $30 for 3 shirts and 2 caps. Marc pays $23 for 1 shirt and 5 caps. For how many dollars does each shirt sell?
Problem #4
At the Math Store each circle costs one amount and each square costs another amount. Five circles plus one square cost 20 cents. Two circles plus three squares cost 21 cents. At these prices, how many cents does twelve circles plus five squares cost?
Problem #5
Every person in a room shakes hands with each other person in the room exactly once. There are total of 15 handshakes. How many people are in the room?
Problem #6
Each row of *s has two more *s than the row immediately above it, as shown. Altogether, how many *s are contained in the first twenty rows?
*
***
*****
*******
Problem #7
Maria writes the same whole number instead of ? and get a true statement. Jon does the same as Maria and also gets a true statementon and Maria choose different numbers. What two numbers do they choose?
12 + (? x ?) - (7 x ?) = 0
Thursday, January 5, 2012
Math problems for Jan. 6 2012
Problem #1 - Book 2/Set1/1E
Ben and Jerry start with the same number of trading cards. After Ben gives 12 of his cards to Jerry, Jerry then has two times as many cards as Ben does. How many cards did Ben have at the start?
Problem #2 - Book 2/Set1/2E
Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children in this group?
Problem #3 - Book 2/Set1/4E
At a special sale, all pens are sold at one price and all pencils at another price. If 3 pens and 2 pencils are sold for 47 cents, while 2 pens and 3 pencils are sold for 38 cents, what is the cost of a set of one pen and one pencil, in cents?
Problem #4 - Book 2/Set 2/1E
The average weight of a group of children is 100 pounds. Todd, who weighs 112 pounds, then joins the group. This raises the average weight of the group to 102 pounds. How many children were in the original group?
Problem #5 - Book 2/Set 1/1A
What is the value of the following, in simplest terms?
(20 x 24 x 28 x 32) / (10 x 12 x 14 x 16)
Problem #6 - Book 2/ Set 1/1B
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 twenty-fifth number in the sequence?
Problem #7 - Book 2/ Set 1/1D
A represents a counting number. Find the value of A if
(A + A)/(A x A) = 1/3
Ben and Jerry start with the same number of trading cards. After Ben gives 12 of his cards to Jerry, Jerry then has two times as many cards as Ben does. How many cards did Ben have at the start?
Problem #2 - Book 2/Set1/2E
Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children in this group?
Problem #3 - Book 2/Set1/4E
At a special sale, all pens are sold at one price and all pencils at another price. If 3 pens and 2 pencils are sold for 47 cents, while 2 pens and 3 pencils are sold for 38 cents, what is the cost of a set of one pen and one pencil, in cents?
Problem #4 - Book 2/Set 2/1E
The average weight of a group of children is 100 pounds. Todd, who weighs 112 pounds, then joins the group. This raises the average weight of the group to 102 pounds. How many children were in the original group?
Problem #5 - Book 2/Set 1/1A
What is the value of the following, in simplest terms?
(20 x 24 x 28 x 32) / (10 x 12 x 14 x 16)
Problem #6 - Book 2/ Set 1/1B
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 twenty-fifth number in the sequence?
Problem #7 - Book 2/ Set 1/1D
A represents a counting number. Find the value of A if
(A + A)/(A x A) = 1/3
Thursday, December 22, 2011
Math Problems Dec. 23 2011
Idea is to have a small competition among kids. We can break them in 3 teams and ask to solve the following problems.
Problem #1
There are 2 empty jars: 3 gallons and 5 gallons. How to get 4 gallons of water in 5 gallon jar? All you can use these two jars.
Problem #2
There is a soccer competition with 11 teams. Each team palys with any other team 4 games. How many games in total are played in this competition?
Problem #3: 36-5
In the following sequence of numbers, each number has one more 1 than the preceding number: 1, 11, 111, 1111, 11111, ... . What is the tens digit of the sum of the first 30 numbers of the sequence?
Problem #4
There are 9 coins. 8 of them have the same weight and one is lighter, which is fake. How to determine which coin is fake in two attempts?
Problem #1
There are 2 empty jars: 3 gallons and 5 gallons. How to get 4 gallons of water in 5 gallon jar? All you can use these two jars.
Problem #2
There is a soccer competition with 11 teams. Each team palys with any other team 4 games. How many games in total are played in this competition?
Problem #3: 36-5
In the following sequence of numbers, each number has one more 1 than the preceding number: 1, 11, 111, 1111, 11111, ... . What is the tens digit of the sum of the first 30 numbers of the sequence?
Problem #4
There are 9 coins. 8 of them have the same weight and one is lighter, which is fake. How to determine which coin is fake in two attempts?
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