Problem Solving for the Gifted

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1) What is the greatest 4-digit number that has all of the following characteristics ?

Answer:  


2)  Camille's cafe has exactly 15 tables. Some of those tables are larger tables that can seat  6 people, and others are smaller tables that can seat just 4  people. If a maximum of 76 people can be seated at Camille's cafe, how many larger tables does the cafe have?

Answer:    


3) In the following addition example, each letter represents one digit. If the same letters represent the same digits and different letters represent different digits, what 4-digit number does DCEE represent?

 

Answer:           


4) A bell rings every 4 minutes, a second bell rings every 6 minutes, and a third bell rings every 10 minutes. If all three bells ring together at 3:00pm, in how many minutes will they  ring together again?

Answer:  minutes 


5) Six teachers can grade all final tests in 4 hours. If each teacher works at the same rate, how many hours would it have taken for 8 teachers to grade the tests?

Answer: hours


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