Yeah, the scales are part of my daily warmup routine. I practice them in a rotation going by 5ths since I don't have time to do all 12 keys every day (especially since I'm working 4 scales in each key). Day 1: G D A E. Day 2: B F# C# Ab. Day 3 Eb Bb F C. Day 4-6 repeats the pattern. I then have my weekly lesson on Day 7. Seems to be working well enough for me so far with my limited practice time.I understand. However, if they were asking you to play the note "G" on a sax, the term 'major' is meaningless. Unless they are asking for a G major scale or chord arpeggio. I know, more pedantry. But, to stay on topic, whenever working on something, it's important to know exactly what you are doing, at least most of the time.
Anyway, be sure to keep working on all 12 keys, even the ones you think you'll never play in. I guarantee you when you get up on a bandstand at a jam sometime and you have one or two 'weak' keys, the first key called will be one of those.
One tip that is very useful is to learn the scale degrees for all 12 major scales by assigning a number to each note (for ex, in C maj, C=1, D=2, E=3, F=4 etc). To the point you can immediately recall every scale degree in all 12 keys. For ex, the '6' in C is an A, or the 4 in F# is B, the 7 in A is G#, etc. Using numerals in this way will make transposing much easier and also help visualize intervals and other relationships. Yet another thing to work on...