Old (06-07) TIK Computer Science at Jarvis C.I., Toronto

The questions below are challenging questions for the stronger programming students. If you can't figure them out, don't worry. You can safely ignore them.

QUESTION #9 (p. 114) asks you to find the sum of a number of terms of the series of numbers 1 + x + x**2 + x**3 + x**4 .. . This is a challenging question for the stronger students in the class.
HINTS:
- The tricky part in this question is in how you set up the counter (index) for your counted loop.
- You need to recall a little math - What's the value of x⁰ and x¹?

QUESTION #13 (p. 115) asks you to find all the factors of an integer.
HINTS:
- Try all integers from 1 to the number.
- For each one, how do you decide whether it is a factor? Well, a factor of a number divides into the number evenly. That's the definition of a factor.
- Hint: Have a look at a very useful operator called div (p. 101).

QUESTION #14 (p. 115) asks you to take an integer from the user and output the number of digits in it. This is a challenging question for the stronger students in the class.
HINTS:
- Tell the user to enter an integer of 6 digits or less. The book doesn't mention this, but obviously there's a problem if the user can enter ANY number, no matter how large.
- Use div and multiples of 10 as a divisor.

QUESTION #16 (p. 115) asks you to generate random real numbers between, 4 and 5, 0 and 10, and so on. Be sure you learn how to do this. (It's not hard once you think about it, knowing what rand(number) does.)