International Junior Math Olympiad Grade2_02 on Day:.........Month:..........Year:...........

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  • Question 1: Jed has 8 coins. His sister, Hailey, has twice as many coins as Jed. How many coins do they have altogether?
  • Question 2: How many squares are there in the 4×4 grid below?
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  • Question 3: A bucket contains 1 red, 1 yellow, 1 blue and 1 white flower. Maja, the bee, visits every flower in the bucket only once. She starts from the red flower, and she does not fly directly from the blue flower to the yellow flower. In how many ways can Maja visit all the flowers exactly once?
  • 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: 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 6. How many seats are there on the merry-go-round?
  • Question 6: How many times does the digit "2" appear from 1 to 50?
  • Question 7: A cube with side length of 3 cm is painted grey and cut into smaller cubes each with side length of 1 cm. How many of the smaller cubes have exactly 2 faces painted?
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  • Question 8: A restaurant offers 3 courses: entree costs $4, main course costs $9 and dessert costs $5. The "combo", which is entree + main course + dessert, costs $15. How much does a person save if he/she orders the combo instead of the three separate courses?
  • Question 9: Cheryl collects photos of famous singers. The number of newly collected photos in each year is equal to the sum of the number of photos collected in the previous two years. She collected 60 photos in 2015 and 96 photos in 2016. How many photos did she collect in 2013?
  • Question 10: Jessica has a lot of apps on her phone. The number of apps she has is divisible by 5. If she downloaded 10 more apps, she would still have less than 50 apps. What is the maximum original number of apps Jessica could have?