G6 Math Olympiad Part B

The 7-digit numbers 74A52B1 and 326AB4C are multiples of 3. Which one of the following is the value of C?

• 1

• 2

• 3

• 5

• 8

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?

• 0

• 1

• 2

• 3

• 4

What is the number of shortest paths from A to B?

• 4

• 5

• 6

• 8

• None of the above.

Sam has two identical wooden pyramids, each with a square base. He glues the two bases together to make a new bigger wooden shape. How many vertices are there in the new bigger shape?

• 6

• 7

• 8

• 9

• 10

When you multiply Sophie’s age and Sony’s age, you get 36. If you add their ages together, you get 15. Sophie is older than Sony. How old is Sony?

• 12

• 3

• 4

• 5

• None of the above

Students from Mrs. Hein’s class are standing in a circle. They are evenly spaced and consecutively numbered starting with 1. The student with number 3 is standing directly across from the student with number 17. How many students are there in Ms. Hein’s class?

• 28

• 29

• 30

• 31

• None of the abouve

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

• 120

• 180

• 240

• 300

• 360

Reverse the digits of 1746 and we get 6471, the new number is larger than the original number by 4725. How many four-digit numbers satisfy such condition?

• 16

• 17

• 20

• 21

• None of the above

Every day at school, Jo climbs a flight of 6 stairs. Jo can climb using 1, 2 or 3 steps or a combination of any of them. How many ways can Jo climb the flight of 6 stairs?

• 13

• 18

• 20

• 22

• 24