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This is a demo of Math Olympiad 4. Your next practice questions in a specific program will be specially tailored for you as the system learns from your previous practices!
1. A and B are two different numbers selected from consecutive numbers starting from 3 to 10 inclusive. What is the largest value of ? 2. Nancy had 8 pennies and Smith had 12 pennies at the beginning. Nancy gave of her pennies to Smith, and Smith gave of all the pennies he then had to Nancy. After that, how many more pennies did Smith have than Nancy? 3. A contest contains 50 questions. The contest was graded by giving 10 points for each correct answer and deducting 5 points for each incorrect answer. John attempted all 50 questions leaving no question unanswered and scored a total of 245 points. How many wrong answers did John get? 4. Rene and Jay are biking around a round trail which is 4 miles long. Rene bikes at 11 mph and Jay bikes at 9 mph. If both start from the same place and ride in the same direction, how long (in hours) will it take for them to meet again? 5. There are 10 people in a team. If they will shake hands with each other only once during a meeting, how many handshakes will be made in total? 6. The weight of a box is the same as 7 pounds plus the weight of of the box. How many pounds does the box weigh? 7. If a number is divisible by 8 and 10, is the number also divisible by 80 for sure? 8. The sum of the ages of Nancy and Susan is 15, the sum of the ages of Nancy and Mary is 16 and the sum of the ages of Susan and Mary is 17. How old is Susan? 9. You have 8 one-cent stamps and 2 five-cent stamps. Using at least one stamp from each type, how many different amounts of postage can you make? 10. Ed needs 1 hour to do a certain job while Ben can do the same job in hour. How many minutes will it take them to do the job together?
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