International Junior Math Olympiad

Three siblings have 18 candies altogether. They want to distribute the candies equally among themselves. How many candies should each sibling get?

• 2

• 3

• 4

• 5

• 6

Evelyn is facing Northeast. What direction will she be facing if she turns 90 degrees clockwise?

• Southwest

• Northwest

• Southeast

• Northeast

• None of the above

What is the missing number in the sequence 1, 2, 4, ___, 11, 16?

• 5

• 6

• 7

• 8

• 9

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?

• 6

• 7

• 8

• 10

• None of the above

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?

• 3

• 4

• 5

• 6

• None of the above

Today, Ray added his age and his brother’s age and he got 11. What will be the sum of their ages after one year?

• 12

• 13

• 14

• 15

• 22

Lilia scored 15 points fewer than Bob, who scored 35 points. Carol scored half as many points as Lilia. How many points did Carol score?

• 10

• 20

• 25

• 50

• None of the above

It is now 6:30 p.m. Ten minutes ago, Lisa’s mother asked Lisa to have dinner but she was in the middle of her homework and would come to dinner in 20 minutes. At what time will she come to dinner?

• 7:00 p.m.

• 6:50 p.m.

• 6:40 p.m.

• 6:30 p.m.

• 7:10 p.m.

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?

• 45

• 40

• 35

• 30

• 49

Study the picture carefully. What number should be placed in the shaded box?

• 16

• 18

• 20

• 21

• 22