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The z-score for an observation (or a set of them) can only be calculated if the mean and standard deviation are known. Neither of them are given in this question.
The z-score can't be calculated with the information given. A mean & standard deviation is required to put into the formula: Z = (x-mean)/sigma. Your x value is 10.
For example, If you score is 8, your percentage comes out to be 8x9.5 = 76% Do note, the calculated percentage is indicative or approximate
The APS (Admission Point Score) is calculated by assigning points to your final grades in specific subjects according to a set scale, typically ranging from 1 to 7 points, with 7 being the highest. Each subject's score is multiplied by the number of credits it carries. The total points from your best subjects, usually the highest four or five, are then summed to obtain your overall APS score. This score is used for admission purposes in various educational institutions.
IQ is scaled according to one's age. It is calculated to be representative of how the person scored, compared to the average score for their age. So, an average person (of whatever age) should score 200. Any difference from that - say 10 points above or below - is notable.