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 6 to 14 inclusive. What is the largest value of
A + B
A − B
 ?
Please give your answer:
[2] Julia had 40 pennies and Tom had 44 pennies at the beginning. Julia gave
1
2
  of her pennies to Tom, and Tom gave
1
4
  of all the pennies he then had to Julia. After that, how many more pennies did Tom have than Julia?
Please give your answer:
[3] A contest contains 15 questions. The contest was graded by giving 10 points for each correct answer and deducting 5 points for each incorrect answer. Jay attempted all 15 questions leaving no question unanswered and scored a total of 75 points. How many wrong answers did Jay get?
Please give your answer:
[4] David and Eric are biking around a round trail which is 4 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 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?
Please give your answer:
[6] The weight of a box is the same as 6 pounds plus the weight of
1
7
  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 Alice and Anne is 12, the sum of the ages of Alice and Nancy is 13 and the sum of the ages of Anne and Nancy is 13. How old is Anne?
Please give your answer:
[9] You have 8 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] Ben needs 1 hour to do a certain job while Josh 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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