Problem of the Week

 

Week of Aug 24th:

You have two older brothers named Doug and Jake. Doug and Jakes ages have a product of 195. The square of Doug's age is 169. Your age is three years less than Jakes. Find the ages of Jake, Doug and you.

 

Week of Aug 31st:

First find the value of x in the puzzle below.

21                       15

                                                                                                                                                           

                                                                                                                 14                      7                      8

                      

                                                                                                  9                   x                        2                     6

 

Now subtract x from the year Leonardo Fibonacci was born. What is your result?

 

Week of Sept 7th:

There are an awful lot of really big numbers.  One very big named number is googol which is 1•10100 or a 1 with 100 0's behind it.  It looks like this:

 

10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000


The largest named number is googolplex which is 1•10googol, or a 1 with googol 0's behind it.  I'd write it out for you, but my life isn't long enough to type that many 0's :)

 This puzzle is to see how big of a number you can come up with using only four 1's.  You may use any mathematical operation you like, but the only numbers allowed are 1, 1, 1, and 1.

                                                Good Luck!!

 

                                        Week of Sept. 14th

                           When was Mrs. Hofer born?

                            Here are your clues:

                                Month: Solve 6 + (8 - 3 x 2)2

                                  Day: Find the median of the data 18, 32, 24, 33, 28, 16.

                                       Year: I was born the same year Elvis Presley died.

 

Week of Sept. 21st:

There is a number that is 8  times the sum of its digits. What is this number?

 

Week of Sept. 28th:

In the equation below, replace each question mark with one of the four mathematical signs: +,-, ×, or ÷. Each sign can be used only once. Fill in the blanks to solve the equation. (Hint: the first sign is +.)

                                        (7 ? 5) ? 4 ? 7 ? 6 = 15

 

Week of October 5th:

 

Right in the Middle  
Q The numbers in the middle column are related in some way to the numbers in the left and right columns. How are they related?

 

3 42 8
5 51 3
8 61 2
7 53 5


 

 

Week of October 12th:  

 

How Many Coins?

 

Q

A bag holds 50 coins that add up to $1.00. How many coins of each denomination (value) are in the bag?
 

 

Week of Oct. 19th:

Checkers, the smartest dog in the world, was doodling in his math diary and come up with three equations:

A-B=C
D/E=F
G+H=I

He was about to write a fourth equation using multiplication when an interesting thought occurred to him. Instead of using a new set of numbers (J, K, L) for his fourth equation, he would use the answers of the three existing equations:

C*F=I

Now the only question in his mind was, "Can I replace the letters A through I with the digits 1 through 9 in such a way that all four of my equations are correct?" (Use 1-9 each only once for the variables A - I)

 

Week of October 26th:

Look at the following clues to uncover the mystery number:

1. I am a 4-digit even number, and all of my digits are different.
2. The sum of all my digits is 10.
3. Each of my digits is greater than zero.
4. The sum of the digits in my thousands place and hundreds place equals the sum of the digits in my ones place and tens place.
5. My largest digit is in the thousands place.

What number am I?

 

Week of Nov. 2nd:

Draw a 3 x 3 grid so it has 9 boxes. You have to write the numbers 0 to 8 in each box so that going side to side, up and down, and diagonally the sum is 12. Each number can be used only once.

 

Week of Nov. 9th

Below is a square of numbers. What number is X?

1 4 0 3
5 8 4 7
2 x 1 4
6 9 5 8

 

Week of Nov. 16th:

Place two plus signs (+) and one minus sign (-) between these numbers in such a way that you get the answer shown.
7 6 5 4 3 2 1 =535

Week of Nov 23rd:

If you reverse the digits of my age, you
have the age of my son. A year ago, I was
twice his age. How old are we both now?

 

 

Week of Nov. 30th:

 

There is only one pair of numbers that satisfies the equation xy = yx, where x does not equal y. Can you figure out which two numbers?

 

Week of Dec 7th:

 

I am thinking of a five-digit number in which no two of the digits are the same.

The fourth digit is three times the second; the last digit is two more than the sum of the first and second; the first digit is one less than the fourth; and the third digit is the difference between the last digit and the first.

What's my number?

 

 

Week of Dec. 14th:

If you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at once? You must explain your choice.

 

Week of Jan 4th:

A local school teacher wanted to share 703 sweets equally among the pupils, if there were more than 20 pupils, how many sweets did each receive?

 


Week of Jan. 11th:

Karin has two pencils. One is a good one, and one is a cheap one. The good pencil cost $1.00 more than the cheap one. Karin spent $1.10 for both pencils. How much did her cheap pencil cost?

 

Week of Jan 18th:

A man, in 1991, on his 65th birthday decided to see the great pyramids on his 70th birthday. Five years later, the day he turned 70, he was standing in front of the pyramids. This occurred in 1986. How is this possible? (Hint: time does go forward)

 

Week of Jan. 25th:

Put the appropriate + or - signs between the numbers, in the correct places, to make this equation true:

0123456789=1

                            
Week of Feb. 1st:

Mad Ade's Grandad is 65 years old, and he wants to retire, but his boss says the minimum retirement age is 2 billion seconds old (nothing is normal in Mad Ade's world). Is Mad Ade's Grandad old enough to retire? Expalin.

 

Week of Feb 8th:

My mom was 27 years old when I was born. How old will I be when my age is the exact reverse of my mother`s?

 

Week of Feb. 16th:

In a normal square room there are 2 cats in each corner. Opposite each cat are 2 cats and next to each cat is 1 cat.

How many cats are there?
 

Week of Feb. 22nd:

Take the 2-digit number 45.
Square it (45 x 45) to make 2025
Split this 4-digit number in half to make 20 and 25
Add them (20 + 25) to make 45
Which is what you started with.
Can you find another 2-digit number which does the same?

 

 

Week of March 1st:

 

Can you replace the question marks with math symbols and make the equation correct:

(6 ? 2) ? (3 ? 4) ? (6 ? 2) = 25

 

Week of March 8th:

Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The perimeter of the figure is 72 cm. Find the area of the figure, in sq cm.

 

Week of March 15th:

What is the number that is one half of one quarter of one tenth of 400?

 


Week of March 22nd:

Joan and Jane are sisters. Jean is Joan's daughter and 12 years younger than her aunt. Joan is twice as old as Jean. Four years ago, Joan was the same age as Jane is now, and Jane was twice as old as her niece. How old is Jean?

 


Week of March 29th:

Arrange eight eights so they add up to one thousand.
 

 

Week of April 6th:

Mr and Mrs Tan have three sons. Each of their sons has two sisters. Each sister has three cousins. Each cousin has a great-grandparent.

How many people are there?

 

 

Week of April 12th:

If you could have a penny a day for 30 days, doubled every day, or $10,000 right now, which would give you more money? Expain.