International Junior Math Olympiad Grade5_02 on Day:.........Month:..........Year:...........

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  • Question 1: 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 2: How many numbers are there in the sequence 10, 13, 16, 19, …, 70, 73?
  • Question 3: There are two plants in Mrs. Saumya’s garden. One is 44 cm tall, and it grows 3 cm every 2 years. The other is 80 cm tall, and it grows 5 cm every 6 years. In how many years will the two plants have the same height?
  • Question 4: 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?
  • Question 5: A snail fell into a hole that is 10 metres deep. Every day it would climb 3 metres up but then it would fall 2 metres down while sleeping during the night. After how many days would the snail climb out of the hole?
  • Question 6: The distance from Amit’s house to the school is 4 times the distance from the post office to the school. The distance from the school to his house is 2 km. What is the distance from his house to the post office?
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  • Question 7: A cheetah was running at 5 km per hour for ten seconds until it spotted an impala it wanted to catch. The cheetah then run faster and averaged to 60 km per hour for the next 40 seconds. The impala went away and the cheetah slowed down to an average of 5 km per hour for ten seconds. Rounded to the nearest km per hour, what was the cheetah’s average speed for the entire minute?
  • Question 8: I added the first ten whole numbers greater than 0. I forgot to include one whole number and I got 50 as the sum. Which one of these ten whole numbers I did not add?
  • Question 9: 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 10: 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?
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