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 15 inclusive. What is the largest value of
A + B
A − B
 ?
Please give your answer:
[2] Jennifer had 32 pennies and Kevin had 24 pennies at the beginning. Jennifer gave
1
2
  of her pennies to Kevin, and Kevin gave
1
4
  of all the pennies he then had to Jennifer. After that, how many more pennies did Kevin have than Jennifer?
Please give your answer:
[3] A contest contains 45 questions. The contest was graded by giving 4 points for each correct answer and deducting 2 points for each incorrect answer. Kevin attempted all 45 questions leaving no question unanswered and scored a total of 156 points. How many correct answers did Kevin get?
Please give your answer:
[4] David and Eric are biking around a round trail which is 6 miles long. David bikes at 12 mph and Eric 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 11 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 3 pounds plus the weight of
1
4
  of the box. How many pounds does the box weigh?
Please give your answer:
[7] If a number is divisible by 5 and 10, is the number also divisible by 50 for sure?
Please select your answer:
Yes No
[8] The sum of the ages of Jennifer and Hillary is 12, the sum of the ages of Jennifer and Laura is 12 and the sum of the ages of Hillary and Laura is 12. How old is Hillary?
Please give your answer:
[9] You have 7 one-cent stamps and 3 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] Eric needs 1 hour to do a certain job while Richard can do the same job in
1
3
  hour. How many minutes will it take them to do the job together?
Please give your answer:



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