COUNTIF & SUMIF formula question (excel/forum newbie)

[RichardBewick]

I have a two part question relating to the same spreadsheet I am designing.

I have a scoring system I monitor in excel (I have attached an example speadsheet). I score against a number of criteria e.g. criteria 1 scores "2", criteria 2 scores "4". My problem is that the criteria don't always attract a score, sometimes they blank. I also need to specify which criteria I want to count in the scoring as they are not always relevant every time.

I need formulae that will take this into account and be ready to total up only when a score is there (COUNTIF?); and out of the range of scores I want to total up only the specified criteria at choice (SUMIF?).

My COUNTIF and SUMIF skills are failing with this which is very complex for my level.

What would the formula be in each instance? I have attached the file to reference the cells that I have questions about.

Question ?A: - is this a COUNTIF?
In this cell I want to calculate the number of occurrences where there is a score detailed, but only for specified criteria, for argument's sake criteria 1,2,3,4,7 & 8

The answer would be 5 in this instance, not 6, because Criteria "3" did not receive a score.

I would want to have other cells which would calculate the number of occurences where there had been a score but using different combinations of criteria

Question ?B: - is this a SUMIF?
In this cell I want to calculate the total sum of scores for those specified criteria where there has been a score
The answer would be 13 in this instance (3+2+4+1+3 from the scores that occurred for those specified criteria)
I would want to have other cells which would calculate the total sum of the scores but using different combinations of criteria

any help from the excel grandmasters would be appreciated