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 10 inclusive. What is the largest value of
A + B
A − B
 ?
Please give your answer:
[2] Alice had 32 pennies and Kevin had 48 pennies at the beginning. Alice gave
1
2
  of her pennies to Kevin, and Kevin gave
1
4
  of all the pennies he then had to Alice. After that, how many more pennies did Kevin have than Alice?
Please give your answer:
[3] A contest contains 30 questions. The contest was graded by giving 10 points for each correct answer and deducting 5 points for each incorrect answer. Rene attempted all 30 questions leaving no question unanswered and scored a total of 225 points. How many correct answers did Rene get?
Please give your answer:
[4] David and Eric are biking around a round trail which is 6 miles long. David bikes at 10 mph and Eric 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?
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 10 pounds plus the weight of
1
11
  of the box. How many pounds does the box weigh?
Please give your answer:
[7] If a number is divisible by 7 and 14, is the number also divisible by 98 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 10. How old is Jennifer?
Please give your answer:
[9] You have 8 one-cent stamps and 4 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] Josh needs 1 hour to do a certain job while Rene 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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