Is my exercise programme actually making me fitter and stronger or is it a total waste of time?

I do uphill training on an exercise bike 3 times per week for about 25 minutes each time for fitness and to strengthen my legs, I do 2 x 3 sets of biceps exercises once a week, 3 x 3 sets of chest exercises, and 3 x 3 sets of shoulder exercises once a week (with free weights). Am I wasting my time with the weights exercises or will I actually benefit from them?

You are doing a great job.

You will benefit. You will become stronger, your stamina will increase, as will your metabolism. All the muscle you build will burn fat for energy, 24/7. Keep it up.
it can if you are not making an effort
you will definitely benefited. This is good keep it up
For very best results, DON'T over train because you will see no gain. I am a semi-pro weight lifter and my advice would be, train 4 times a week. Only concentrate on 2 body parts per session, for example this is my routine:

Mon: Chest and Triceps
Tues: Biceps and Back
Wed: Rest
Thurs: Shoulders and Abs
Fri: Biceps and triceps

weekends rest day

You should inherit your cardio to this routine as a warm up and warm down. Swtich to a very high protein diet, and before you train, try eating foods that are high in carbs because you will train harder for longer. (Carbs is the fuel that drives you wen u train)

Hope this helps. Visit www.bodybuilding.com
if you stay at it you will see results,the process seems like a waist of time,but the reward at the end pays off.
Do not expose yourself under pressure.Here are some good instructions:
1.Correct breathing and body posture, you should count from 1to 6 while breathing in and 1to17 until you breath out.(after a while you will get use to it without counting the numbers).
2.Drinking about 4-8 glass of water per day.
3.Exercise.(Walking,etc).
4.Checking overall health.(Medical tests).
5.Prevention. Avoiding unhealthy drinks, food , and habits.
6.Eating variety of Healthy food.
7.Self Realisation / Thinking at present.
8.Sufficient sleeping.

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