Saturday, May 21, 2011

9999999

Place parentheses and mathematical operations (+, -, /,*) on the left of the following equation to make it correct

9999999 = 100

Monday, May 9, 2011

Math problems for May 10 2011

Problem #1



How many times does X occurs in the diagram here.




Problem #2


The product of three counting numbers is 24. How many different sets of 3 numbers have this property if the order of the 3 numbers in a set does not matter?



Problem #3


Carol spent exactly $1 for some 5 cents stamps and some 13 cents stamps. How many 5 cents stamps did she buy?






Problem #4








In the addition problem here, there are three two-digit numbers in which different letters represent different digits. What digits do A, B, and C represent?





Problem #5


Let N be a number that divides 171 with a remainder of 6. List all the two-digit numbers that N can be.


Problem #6


The result of multiplying a counting number by itself is a square number. For example, 1, 4, and 9 are each square numbers because 1X1=1, 2X2=4, and 3X3=9. What year in the 20th century (the years 1901 through 2000) was a square number?



Problem #7


A group of 12 girls scouts had enough food to last for 8 days when they arrived in camp. However, 4 more scouts joined them without the amount of food being increased. How long will the food last if each scout is given the same daily ration as originally planned?




Wednesday, May 4, 2011

Brain Teaser of the week

A cylinder 60 cm high has a circumference of 16 cm. A string makes exactly 5 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long is the string in cm?

To check the answer come back on May 12

Monday, May 2, 2011

Math problems for May 3 2011



Problem #1
The average of three numbers is 6. Let the first number be increased by 1, the second by 2, and the third by 3. What is the average of the set of increased numbers?


Problem #2

The month of January has 31 days. Suppose January 1 occurs on Monday. What day of the week is February 22 of the next month?


Problem #3



The set of stairs (see below) is constructed by placing layers of cubes on top of each other. What is the total number of cubes contained in the staircase?



Problem #4


When a counting number is multiplied by itself, the result is a square number. Some examples of square numbers are 1, 4, 9. How many square numbers between 1 and 100?


Problem #5


The product of two whole numbers is 10,000. If neither number contains a zero digit, what are the two numbers?


Problem #6


Of three numbers , two are 1/2 and 1/3. What should the third number be so that the sum of all three is 1?


Problem #7


The four-digit number A55B is divisible by 36. What is the sum of A and B?
Hint: A number is divisible by 36 if it is divisible by 9 and 4 (so it is even)

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?