Projects and Investigations

     1) Pick any two digit number,  reverse  it  and add the result to
     the number you started with. The  answer will be divisible by 11.
     Is this true for all two digit numbers and if so why ?

                   example :  our number = 53
                              reverse it = 35
                                     sum = 88 which is divisible by 11

     Investigate the case for three digit numbers.


     2) You have been chosen  to  plan  a  holiday  for your family in
     France, over  a  fourteen  day  period,  in  the  summer holiday.
     Investigate fully the costs  involved  by  visiting travel agents
     and obtaining brochures etc.
     Don't forget to  include  everything;  meals, excursions, presents
     etc. Consider what you would do if  you were set a budget of £22O
     for each person.
     Find rates of exchange and draw a conversion graph/table. Include
     pictures/maps to make your project more interesting.


     3) Write a computer  program  to  illustrate  one  or more of the
     following mathematical ideas:

                     a) Test whether a number is prime

                     b) Find all the prime numbers up to a given limit

                     c) Find the prime factors of a given number

                     d) A conversion program for Km to miles, gallons
                        to litres, °F to °C etc..

                     e) Test if a number is a square, rectangular or
                        a cube number.

     4) Investigate divisibility:

                     a) by 4 : design a test to say if any given
                        number is divisible by 4.

                     b) by 6 :  "   "    "    "

                     c) by 9 :  "   "    "    "

     Interesting Note: To determine if a number is divisible by 3, add
     all the digits in that number. If that sum is divisible by 3 then
     the number itself is also divisible by 3 !

                     example number :  1287
                          add digits:  1+2+8+7 = 18
                          add digits:  1+8 = 9
                     9 is divisible by 3 therefore so is 1287


     Final Note:

             Remember the examiner is  looking for mathematics content
     in your project work as well as presentation etc. so writing down
     lists and pretty drawings may help but they will not get you that



     most important grade!