Math Olympiad 3

Combination( Week 39 Practice)

1. How many ways are there to make a 7 using two positive whole numbers with addition? Note that 1+0 and 0+1 are different ways to make a 1. Write down all the additions that make a 7 separating each with a comma.

2. You can make 6 three-digit numbers using 1, 5 and 8. What is the difference between the biggest number and the smallest number?

3. You can make 6 two-digit numbers using 3, 5 and 7. What is the difference between the biggest number and the smallest number?

4. Steve has 3 choices of roads from home to school. There are 2 choices of roads from school to library. How many choices of roads does Steve have to go from home to school, then to the library?

5. There are 8 locks and each with a key. However all the keys were messed up. At most how many tries will be needed in order to match a key to its lock?

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