To an applicant going through a lot of stress, math sections of college entrance tests may appear as odd assortments of numbers, problems and headaches. Fortunately, there is an inherent pattern to it—a method to the “madness,” if you will.
Since the tests almost always draw from general high school math, here’s a listing of some topics and subtopics you can expect to see on most exams.
Algebra
- polynomial factoring
- ratio and proportion
- word problems
- simplifying algebraic expressions
- matrices
- linear equations
- graphs and lines
- rational expressions
- exponents and roots
- factoring
- polynomials
- squares
- quadratic equations
- inequalities
- negative numbers
Geometry
- dimension calculation (length, area, etc.)
- Euclidean geometry
- non-Euclidean geometry
- angles
- proof and logic questions
- circumference, diameter, area, etc.
- word problems
Trigonometry
- trigonometric functions (sin, cosin, tan and inverse)
- identities
- laws
- word problems
Arithmetic
- MDAS = multiplication, division, addition, subtraction
- Integers
- fractions
- percents
- decimals
- real numbers
- values
- algebraic principles
- word problems
Others
- statistics
- sets
- sequences/series (Fibonacci, et al)
- probability = combinations and permutations
- probability
- logic
- diagrams
- lines, points, infinities
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Not good… not good at all. Considering that I study in a Catholic high school which doesn’t really have great quality education, this is totally bad news for me. Some of those topics are totally new to me.
Oh well, may Chuck Norris and my textbooks guide me.
Ha ha ha, this cracked me up. Good luck and God Bless!
WOW! thanks for this. :-bd I really need it. but there are some subjects that haven’t been thought from 1st-3rd year.
That’s a pity. Well, then, you have some catching up to do. In any case, the UPCAT is really easy (as long as you’ve been an attentive high school student). It’s the time pressure that gets to test-takers.
I’ve just stumbled upon your site while searching for a tutorial on an related subject. Glad I did too. There’s a lot I like. Anyway, you’ve been bookmarked and I’ll be back soon.
Hi Stacey,
Thanks.
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