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 7 to 15 inclusive. What is the largest value of
A + B
A − B
 ?
Please give your answer:
[2] Jennifer had 32 pennies and Jay had 32 pennies at the beginning. Jennifer gave
1
2
  of her pennies to Jay, and Jay gave
1
4
  of all the pennies he then had to Jennifer. After that, how many more pennies did Jay have than Jennifer?
Please give your answer:
[3] A contest contains 20 questions. The contest was graded by giving 8 points for each correct answer and deducting 4 points for each incorrect answer. John attempted all 20 questions leaving no question unanswered and scored a total of 88 points. How many correct answers did John get?
Please give your answer:
[4] George and Kevin are biking around a round trail which is 4 miles long. George bikes at 12 mph and Kevin bikes at 10 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?
Please give your answer:
[5] There are 6 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?
Please give your answer:
[6] The weight of a box is the same as 12 pounds plus the weight of
1
13
  of the box. How many pounds does the box weigh?
Please give your answer:
[7] If a number is divisible by 6 and 8, is the number also divisible by 48 for sure?
Please select your answer:
Yes No
[8] The sum of the ages of Jane and Jennifer is 12, the sum of the ages of Jane and Hillary is 13 and the sum of the ages of Jennifer and Hillary is 13. How old is Jennifer?
Please give your answer:
[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?
Please give your answer:
[10] Edward needs 1 hour to do a certain job while John can do the same job in
1
5
  hour. How many minutes will it take them to do the job together?
Please give your answer:



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