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?
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?
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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