Some more problems

 

• Magic triangle: Arrange the numbers 1, 2, 3, 4, 5, 6 so each row has a sum of 9. Use all six numbers and each number only once.

• Magic square: Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 so each row has a sum of 12. Use each number once.

• How many squares are in this figure?

• A poll taker asked a caregiver the age of the three children under his/her care. The person replied that the product of their ages is 36, and the sum of their ages is the same as the next door address. The poll taker looked at the address next door and said that they needed more information. The caregiver said, "The oldest is upstairs." The poll taker said thank you and left. What is the age of the three children?

• If you hold a quarter stationary and roll a dime around the perimeter of the quarter, how many revolutions will the dime make?

• If a circle has a circumference of three and a smaller circle of circumference one roles around the larger one how many revolutions will it make?

• Your neighbor family is going on a vacation for thirty days and ask you take care of their family pet. Since the family pet is very valuable they are concerned it gets very good care. They explain this to you and ask which method of payment you would prefer.

1. $10, 000 a day for each day they are gone and the pet lives.

2. $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day and so on for each day the pet lives.

You are not concerned about the pet dying, since you will take very good care of it. Assuming the pet lives all thirty days which plan will you take to make the most money?

• Riddle of the Sphinx What walks on all fours in the morning, on two legs in the afternoon, and on three at night? And if you answer incorrectly the Sphinx will eat you.

• A person leaves home makes three left turns, arrives back home, sees two masked people, and knows he/she is safe and feels great. Who are the masked people?

• Subtract nine digits which total 45 from nine digits that also total 45 and have a difference of nine digits which also total 45.

• A collector can win a contest for 100 baseball cards if she/he can solve this problem. She/he will be given $100.00 to purchase 100 cards if she/he can figure how to select cards from three groups so that the total for 100 cards will be exactly $100.00. The cards must be selected from only three groups which costs are: $.50 group one, $3.00 group two, and $10.00 group three. How many from the group can be bought and what is each groups total cost?

Dr. Robert Sweetland's Notes ©