Pretty intense schedule. Familiarizing yourself with all those problems and knowing how to solve them is key. In breaking them down, try to get into the test writer's mind. Why was the question asked? What skill is being tested? Do I master the required skill? Every GMAT question is testing something. The goal in doing this also is to think thru problem types that recur on the GMAT. You read a problem and right off the bat you know what they are trying to test. Try to make a list of these different problem types and recognize variations of them when you see them.
For example:
Averages: There are many ways these will come and try to master everyting about averages.
Rate of Work problems: Understand how to find work done in 1 hours. If james does something in 8 hrs, it means in 1 hr he does 1/8. This 1/8 is rate with the hr in the denominator. It can be multiplied by time.
Probability
Percentages/Proportion/fractions: Master 20% 40% 60% 80% in fractional forms and be able to move back and forth with speed.
Problems that require plain logic and reasoning with no formulas
Prime numbers and Exponents: Master how to manipulate numbers using prime factors: In fact Master solving fractions only in prime factors so that you see the LCM easily
11/60 + 5/80
11/2^2 x 3 x 5 + 5/2^4 x 5
From here you see you don't have to find the LCM separately since you have mentally written the numbers in their prime.
Know 2^2 ---2^10 and be able to write down these numbers without further calculation
Memorize (easy because a pattern emerges from about 19) the perfect squares of numbers from 1-30
Know the square root of 1-5, if possible extend it to 10
Summarize all the theorems and facts you know in geometry and be able to rattle them off head.
Very important ones:
Know how to recognize similar triangles and draw inferences from them.
Tangents to circle, arc lengths and their relation to central angles. Know the formulas for all most the accustomed geometric figures. Sphere, Cone, Trapezoid, Quadrilateral, Polygons their sides and interior angles, Rhombus and the important property that their diagonals are perpendicular. Volumes, areas, surface areas etc.
Relate problems you solve to skills mentioned above and many more and build a composite picture. Thinking abot what GMAT loves to test is very important because you remind yourself to master those tool kit.
If you are faithful to your plan you will succeed.
Again I cannot emphasize this enough. Don't see a single problem as just that : a problem. Stretch every problem to explore its nuance. Turn that problem inside out; change the numbers or some facts and discover some important aspects hidden behind the problem. It is not possible to cover all problems in the world, but by attacking problems this way, you firm your grasp of the principles behind all of these problems.
As an example take the following problem which is about the most difficult fractional or percentage problem the GMAT will ever ask
An equal number of boys and girls attended the senior prom. "
If 40% of the seniors who attended were girls and 30% of the non-seniors who attended were boys, what fraction of the girls were seniors?
Find out what is interesting about the problem?
Why is it different from the way you naturally want to approach it?
What are the common mistakes that people would make in solving it?
For example people might think that 60% of the seniors were boys? Why is this wrong and how can you avoid this kind of thinking?
Remember it is not how much you do, but the quality of work that you do.
