Problems to Think About

A bat and ball together cost $1.10. The bat costs $1.00. How much does the ball cost?

1. Using all digits from 1 to 9, form three 3-digit numbers and find their total.

2. Using the above procedure, get the highest total

3. Using the above procedure, get the lowest total.

4. Assuming that you get a total of 1,908, how many different problems can you write down whose total is also 1,908?

5. Assuming that you get a total of 1,908 what would be the next higher total that you can get?

6. How many different totals are possible for this problem?

7. Students would normally ask “can numbers be repeated?”. In this problem what tells you that repetition is not allowed?

8. What principle of “addition of numbers” did you use in solving steps (2), (3) & (4)?

9. What principle did you use in solving steps (5) & (6)?

10. Prove that all the totals in this problem would be divisible by 9.