International Junior Math Olympiad Grade4_02 on Day:.........Month:..........Year:...........

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  • Question 1: Today is a Saturday and Sara checks her calendar to find out what day of the week her birthday falls this year. If her birthday is in 55 days, on what day of the week is her birthday this year?
  • Question 2: Josiah’s mystery number is a 3-digit number with three different digits. The product of its 3 digits is 24. The sum of the digits is equal to 11. The smallest digit of the mystery number is in the hundreds place while the largest is in the tens place. What is Josiah’s mystery number?
  • Question 3: A tournament had six players. Each player played every other player only once, with no ties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games and Lara won 2 games, how many games did Monica win?
  • Question 4: How many numbers are there in the sequence 13, 16, 19, …, 70, 73?
  • Question 5: A "leap year" is a year which has 366 days including February 29 as an additional day. Any year that is divisible by 4 is a leap year, but a year that is divisible by 100 is a leap year only if it is also divisible by 400. How many leap years are there from 2000 to 2017 (inclusive)?
  • Question 6: The seats on a children's merry-go-round are labelled 1, 2, 3, . . .. On the merry-go-round, Asad was sitting on seat number 2, exactly opposite Shaden, who was sitting on seat number 7. How many seats are there on the merry-go-round?
  • Question 7: Five fishermen, Ahe, Bahe, Cahe, Don, and Zella, all wanted to go out fishing. However, they only had three fishing poles, so only three of them could go out each day. How many different groups of 3 fishermen can be formed?
  • Question 8: To go from Town A to Town B, a car can take different paths (one way) as illustrated below. How many different paths can the car take from Town A to Town B.
  • Image question 8
  • Question 9: How many times does the digit "4" appear from 1 to 70?
  • Question 10: A bucket contains 1 red, 1 yellow, 1 blue and 1 white flower. Maja, the bee, visit every flower in the bucket only once. She start from the red flower, and she does not fly directly from the blue one to the yellow one. In how many ways can Maja visit all the flowers exactly once?