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 4 to 13 inclusive. What is the largest value of ? 2. Jessica had 32 pennies and Tom had 28 pennies at the beginning. Jessica gave of her pennies to Tom, and Tom gave of all the pennies he then had to Jessica. After that, how many more pennies did Tom have than Jessica? 3. A contest contains 40 questions. The contest was graded by giving 4 points for each correct answer and deducting 2 points for each incorrect answer. Larry attempted all 40 questions leaving no question unanswered and scored a total of 40 points. How many correct answers did Larry get? 4. Josh and Rene are biking around a round trail which is 4 miles long. Josh bikes at 10 mph and Rene bikes at 8 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 9 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 10 pounds plus the weight of of the box. How many pounds does the box weigh? 7. If a number is divisible by 7 and 14, is the number also divisible by 98 for sure? 8. The sum of the ages of Alice and Anne is 15, the sum of the ages of Alice and Nancy is 16 and the sum of the ages of Anne and Nancy is 13. How old is Nancy? 9. You have 6 onecent stamps and 3 fivecent stamps. Using at least one stamp from each type, how many different amounts of postage can you make? 10. Richard needs 1 hour to do a certain job while Ed can do the same job in hour. How many minutes will it take them to do the job together?
